Mathematics Mathematics Mathematics Mathematics Mathematics

College of Arts & Sciences

Mathematics

Questions?

Dr. Matthew Pons

630-637-5231

mapons@noctrl.edu

Originally created to keep track of sheep or compute the taxes due on a tract of land, mathematics has evolved into one of the most beautiful expressions of the human spirit.

You probably know that mathematics is essential for work in physics, chemistry and computer science. Did you know it’s also used in business, psychology and sociology? In fact, the North Central College mathematics faculty have wide-ranging interests and make majors available in

Whether you qualify as a mathematical "tourist," a major, or somewhere in between, we’ll help you find the right coursework in mathematics to be sure you have the tools to be successful. We offer a wide range of courses, each designed for a specific audience, and course credit for scores of 3 or higher on the Advanced Placement Calculus Exams (AB or BC).

We know that not all students find math as much fun and as interesting as we do.  We also know that many students will need mathematics to succeed in their chosen profession.  We're committed to making sure that all students in each of our classes are successful in learning the mathematics they need to know for their chosen careers.

As a mathematics major, you’ll develop an increasingly sophisticated understanding of both theoretical and applied mathematics.

Keep up with department activities by clicking on Math News!  Have a question about mathematics at North Central College? Contact Dr. Matthew Pons (mapons@noctrl.edu) or call him at 630-637-5231.

MATH PLACEMENT

Mathematics placement at North Central College is designed to find the appropriate math course for you depending on your mathematics background and what quantitative skills your intended major requires.  In lieu of a placement test, your math placement will be determined by taking into account your ACT, SAT, and/or AP test scores, your grades in your high school (or previous college) math courses, your intended major(s), and discussions with your academic advisor.

  • To place into a calculus course, students need to have taken 4 years of high school mathematics, including geometry, trigonometry, and algebra/precalculus, with good grades in each course.
  • Students who receive a 3, 4, or 5 on an AP calculus test can receive credit for one or more calculus courses and be placed into Calculus II, III, or IV.

If you have any questions, contact Dr. Matthew Pons at 630-637-5231 or mapons@noctrl.edu.

For students in middle or high school, click here to register for the American Mathematics Contest (AMC).

Mathematics, B.A.

For additional programs and courses in this department, see Mathematics.

Major Requirements

At least 40 credit hours in mathematics, including:

  • MTH 141 - Integrated Calculus II: Calculus of Derivatives -or-

    MTH 141 - Integrated Calculus II: Calculus of Derivatives

    3.00 credit hours

    An integrated calculus course which combines the study of exponential, logarithmic and inverse trigonometric functions with a formal development of the derivative. Students may not receive credit for MTH 141 and any of the following: MTH 122, MTH 130 or MTH 151.

    Prerequisite(s)


    MTH 140.

    Core

    Mathematics.

    Schedule Of Classes

  • MTH 151 - Calculus I

    MTH 151 - Calculus I

    3.00 credit hours

    Fundamental concepts of calculus including limits, continuity and differentiation with applications. The Calculus I, II and III sequence is recommended for students in science as well as for students in other divisions desiring a strong preparation in mathematics. Students may not receive credit for MTH 151 and any of the following: MTH 130, MTH 140 or MTH 141.

    Prerequisite(s)


    MTH 121 and MTH 122; or four years high school math including algebra, geometry and trigonometry.

    Core

    Mathematics.
    IAI

    M1 900

    Schedule Of Classes

  • MTH 152 - Calculus II

    MTH 152 - Calculus II

    3.00 credit hours

    Continuation of Calculus I with emphasis on integration and its applications. Required for the B.S. degree in any department.

    Prerequisite(s)


    MTH 141 or MTH 151.

    Core

    Mathematics.
    IAI

    M1 900

    Schedule Of Classes

  • MTH 153 - Calculus III

    MTH 153 - Calculus III

    3.00 credit hours

    Continuation of Calculus II with an emphasis on infinite series.

    Prerequisite(s)


    MTH 152.

    Core

    Mathematics.
    IAI

    M1 900

    Schedule Of Classes

  • MTH 254 - Calculus IV

    MTH 254 - Calculus IV

    3.00 credit hours

    Functions of two or more variables, partial derivatives, multiple integrals and line integrals. Vector analysis, divergence and Stokes's theorems.

    Prerequisite(s)


    MTH 153.

    Core

    Mathematics.

    Schedule Of Classes

  • MTH 280 - The Nature of Proof in Mathematics

    MTH 280 - The Nature of Proof in Mathematics

    3.00 credit hours

    The study of the nature of proof in mathematics. Students learn to find examples and counterexamples of abstractly defined objects and to generalize from those examples to conjecture theorems of their own. Specific proof techniques are taught within the context of subject matter chosen by the instructor.

    Prerequisite(s)


    MTH 152.

    Schedule Of Classes

  • MTH 300 - Linear Algebra

    MTH 300 - Linear Algebra

    3.00 credit hours

    Vector spaces, linear transformations, inner products, eigenvalues and eigenvectors, Gram-Schmidt process and orthogonal transformations.

    Prerequisite(s)


    MTH 153; MTH 280 recommended.

    Schedule Of Classes

  • MTH 375 - Problem Solving Seminar: Mathematics

    MTH 375 - Problem Solving Seminar: Mathematics

    1.00 credit hours

    An intensive seminar in problem solving, intended to provide participants with the ability to solve non-routine problems similar to those appearing in undergraduate mathematics journals and mathematics competitions such as the AMC 8/10/12, AIME and the William Lowell Putnam competition.

    Prerequisite(s)


    MTH 153 and MTH 280; or instructor consent.

    Schedule Of Classes

  • MTH 421 - Abstract Algebra I

    MTH 421 - Abstract Algebra I

    3.00 credit hours

    Elementary theory of rings, fields and groups, including modular arithmetic, polynomial rings, factorization, ideals and quotient rings, homomorphisms and subgroups.

    Prerequisite(s)


    MTH 280 and at least one 300-level mathematics course.

    Schedule Of Classes

  • MTH 461 - Real Analysis I

    MTH 461 - Real Analysis I

    3.00 credit hours

    Sets, functions, properties and elementary topology of the real number system. Rigorous analysis of limits, sequences, series, continuity, differentiation and integration theory.

    Prerequisite(s)


    MTH 280 and at least one 300-level mathematics course; MTH 290 strongly recommended.

    Schedule Of Classes

  • MTH 490 - Seminar

    MTH 490 - Seminar

    3.00 credit hours

    Exploration of topics not included in other mathematics courses. Specific topics are determined by the interest of the students and faculty. Repeatable with different topic.

    Prerequisite(s)


    MTH 421 or MTH 461 or consent of instructor.

    Schedule Of Classes

Electives

Select one group:

Group One

At least four of the following courses:

  • MTH 305 - College Geometry

    MTH 305 - College Geometry

    3.00 credit hours

    Euclidean and non-Euclidean geometry in two and three dimensions. Axiomatics and the nature of proof. Required for supplemental secondary education majors in mathematics.

    Prerequisite(s)


    MTH 280.

    Schedule Of Classes

  • MTH 310 - History of Mathematics

    MTH 310 - History of Mathematics

    3.00 credit hours

    An examination of the historical origins and genesis of important mathematical concepts from the ancient Greeks to modern times. Emphasis on the methodologies and philosophies of those involved in the creative process. Required for supplemental secondary education majors in mathematics.

    Prerequisite(s)


    MTH 153.

    Schedule Of Classes

  • MTH 315 - Ordinary Differential Equations with Applications

    MTH 315 - Ordinary Differential Equations with Applications

    3.00 credit hours

    First and second order differential equations; algebraic, numerical and graphical solutions; series solutions; Laplace transforms; applications.

    Prerequisite(s)


    MTH 254; MTH 300 strongly recommended.

    Schedule Of Classes

  • MTH 323 - Complex Variables

    MTH 323 - Complex Variables

    3.00 credit hours

    Algebra, geometry and calculus with complex numbers. Transformations of the complex plane, analytic functions, Cauchy theory of integration, power series and residue theory.

    Prerequisite(s)


    MTH 254.

    Schedule Of Classes

  • MTH 341 - Probability and Statistics I

    MTH 341 - Probability and Statistics I

    3.00 credit hours

    Basic laws of probability, discrete distributions, random variables, mathematical expectation, moment generating functions, Chebyshev's inequality and Markov chains.

    Prerequisite(s)


    MTH 254.

    Schedule Of Classes

  • MTH 342 - Probability and Statistics II

    MTH 342 - Probability and Statistics II

    3.00 credit hours

    A continuation of MTH 341 to include continuous distributions, central limit theorem, estimations, hypothesis testing and applications.

    Prerequisite(s)


    MTH 341.

    Schedule Of Classes

  • MTH 355 - Applied Mathematical Techniques

    MTH 355 - Applied Mathematical Techniques

    3.00 credit hours

    Topics in applied mathematics, including series solutions, systems of linear and nonlinear differential equations, integral transforms (Fourier or Laplace transforms), Fourier series, partial differential equations and a survey of applications from the physical sciences, life sciences and economics.

    Prerequisite(s)


    MTH 254 and MTH 256; or MTH 315.

    Schedule Of Classes

  • MTH 422 - Abstract Algebra II

    MTH 422 - Abstract Algebra II

    3.00 credit hours

    Advanced theory of rings, fields and groups, including symmetric and alternating groups, structure theorems for finite abelian groups, principal ideal domains, unique factorization domains, the field of quotients of an integral domain, vector spaces, extension fields, finite fields and the Galois Theory.

    Prerequisite(s)


    MTH 421.

    Schedule Of Classes

  • MTH 462 - Real Analysis II

    MTH 462 - Real Analysis II

    3.00 credit hours

    A continuation of the topics from MTH 461.

    Prerequisite(s)


    MTH 300 and MTH 461.

    Schedule Of Classes

  • MTH 473 - Topology

    MTH 473 - Topology

    3.00 credit hours

    Set theory, metric spaces, general topological spaces, continuous functions, connectedness, compactness, separation axioms and metrization.

    Prerequisite(s)


    MTH 254, MTH 280 and MTH 300.

    Schedule Of Classes

Group Two

Required for Secondary Education Supplemental majors. Mathematics major (B.A.) with Secondary Education Supplemental major: A typical student will need over 120 total credit hours to complete this degree.

  • MTH 305 - College Geometry

    MTH 305 - College Geometry

    3.00 credit hours

    Euclidean and non-Euclidean geometry in two and three dimensions. Axiomatics and the nature of proof. Required for supplemental secondary education majors in mathematics.

    Prerequisite(s)


    MTH 280.

    Schedule Of Classes

  • MTH 310 - History of Mathematics

    MTH 310 - History of Mathematics

    3.00 credit hours

    An examination of the historical origins and genesis of important mathematical concepts from the ancient Greeks to modern times. Emphasis on the methodologies and philosophies of those involved in the creative process. Required for supplemental secondary education majors in mathematics.

    Prerequisite(s)


    MTH 153.

    Schedule Of Classes

  • MTH 341 - Probability and Statistics I

    MTH 341 - Probability and Statistics I

    3.00 credit hours

    Basic laws of probability, discrete distributions, random variables, mathematical expectation, moment generating functions, Chebyshev's inequality and Markov chains.

    Prerequisite(s)


    MTH 254.

    Schedule Of Classes

  • MTH 342 - Probability and Statistics II

    MTH 342 - Probability and Statistics II

    3.00 credit hours

    A continuation of MTH 341 to include continuous distributions, central limit theorem, estimations, hypothesis testing and applications.

    Prerequisite(s)


    MTH 341.

    Schedule Of Classes

    • Completion of the Supplemental Secondary Education major. 

Recommended

Students intending to go to graduate school in mathematics are strongly encouraged to take MTH 323, MTH 422, MTH 462 and MTH 473.

Typical Course Sequence

Assumes the student has the necessary prerequisites.

  FALL WINTER SPRING
FIRST YEAR:
  • MTH 140 or MTH 151
  • MTH 141 or MTH 152 
  • MTH 152 or MTH 153 
SECOND YEAR:
  • MTH 153 or MTH 254 
  • MTH 280 
  • MTH 254 or MTH 341 
  • MTH 300 
  • MTH 342 
     

 

Mathematics, B.S.

For additional programs and courses in this department, see Mathematics.

Major Requirements

At least 44 credit hours in mathematics, including:

  • MTH 141 - Integrated Calculus II: Calculus of Derivatives -or-

    MTH 141 - Integrated Calculus II: Calculus of Derivatives

    3.00 credit hours

    An integrated calculus course which combines the study of exponential, logarithmic and inverse trigonometric functions with a formal development of the derivative. Students may not receive credit for MTH 141 and any of the following: MTH 122, MTH 130 or MTH 151.

    Prerequisite(s)


    MTH 140.

    Core

    Mathematics.

    Schedule Of Classes

  • MTH 151 - Calculus I

    MTH 151 - Calculus I

    3.00 credit hours

    Fundamental concepts of calculus including limits, continuity and differentiation with applications. The Calculus I, II and III sequence is recommended for students in science as well as for students in other divisions desiring a strong preparation in mathematics. Students may not receive credit for MTH 151 and any of the following: MTH 130, MTH 140 or MTH 141.

    Prerequisite(s)


    MTH 121 and MTH 122; or four years high school math including algebra, geometry and trigonometry.

    Core

    Mathematics.
    IAI

    M1 900

    Schedule Of Classes

  • MTH 152 - Calculus II

    MTH 152 - Calculus II

    3.00 credit hours

    Continuation of Calculus I with emphasis on integration and its applications. Required for the B.S. degree in any department.

    Prerequisite(s)


    MTH 141 or MTH 151.

    Core

    Mathematics.
    IAI

    M1 900

    Schedule Of Classes

  • MTH 153 - Calculus III

    MTH 153 - Calculus III

    3.00 credit hours

    Continuation of Calculus II with an emphasis on infinite series.

    Prerequisite(s)


    MTH 152.

    Core

    Mathematics.
    IAI

    M1 900

    Schedule Of Classes

  • MTH 254 - Calculus IV

    MTH 254 - Calculus IV

    3.00 credit hours

    Functions of two or more variables, partial derivatives, multiple integrals and line integrals. Vector analysis, divergence and Stokes's theorems.

    Prerequisite(s)


    MTH 153.

    Core

    Mathematics.

    Schedule Of Classes

  • MTH 280 - The Nature of Proof in Mathematics

    MTH 280 - The Nature of Proof in Mathematics

    3.00 credit hours

    The study of the nature of proof in mathematics. Students learn to find examples and counterexamples of abstractly defined objects and to generalize from those examples to conjecture theorems of their own. Specific proof techniques are taught within the context of subject matter chosen by the instructor.

    Prerequisite(s)


    MTH 152.

    Schedule Of Classes

  • MTH 300 - Linear Algebra

    MTH 300 - Linear Algebra

    3.00 credit hours

    Vector spaces, linear transformations, inner products, eigenvalues and eigenvectors, Gram-Schmidt process and orthogonal transformations.

    Prerequisite(s)


    MTH 153; MTH 280 recommended.

    Schedule Of Classes

  • MTH 323 - Complex Variables

    MTH 323 - Complex Variables

    3.00 credit hours

    Algebra, geometry and calculus with complex numbers. Transformations of the complex plane, analytic functions, Cauchy theory of integration, power series and residue theory.

    Prerequisite(s)


    MTH 254.

    Schedule Of Classes

  • MTH 375 - Problem Solving Seminar: Mathematics (must be taken twice)

    MTH 375 - Problem Solving Seminar: Mathematics

    1.00 credit hours

    An intensive seminar in problem solving, intended to provide participants with the ability to solve non-routine problems similar to those appearing in undergraduate mathematics journals and mathematics competitions such as the AMC 8/10/12, AIME and the William Lowell Putnam competition.

    Prerequisite(s)


    MTH 153 and MTH 280; or instructor consent.

    Schedule Of Classes

  • MTH 421 - Abstract Algebra I

    MTH 421 - Abstract Algebra I

    3.00 credit hours

    Elementary theory of rings, fields and groups, including modular arithmetic, polynomial rings, factorization, ideals and quotient rings, homomorphisms and subgroups.

    Prerequisite(s)


    MTH 280 and at least one 300-level mathematics course.

    Schedule Of Classes

  • MTH 461 - Real Analysis I

    MTH 461 - Real Analysis I

    3.00 credit hours

    Sets, functions, properties and elementary topology of the real number system. Rigorous analysis of limits, sequences, series, continuity, differentiation and integration theory.

    Prerequisite(s)


    MTH 280 and at least one 300-level mathematics course; MTH 290 strongly recommended.

    Schedule Of Classes

  • MTH 490 - Seminar

    MTH 490 - Seminar

    3.00 credit hours

    Exploration of topics not included in other mathematics courses. Specific topics are determined by the interest of the students and faculty. Repeatable with different topic.

    Prerequisite(s)


    MTH 421 or MTH 461 or consent of instructor.

    Schedule Of Classes

Electives

At least two of the following:
  • MTH 422 - Abstract Algebra II

    MTH 422 - Abstract Algebra II

    3.00 credit hours

    Advanced theory of rings, fields and groups, including symmetric and alternating groups, structure theorems for finite abelian groups, principal ideal domains, unique factorization domains, the field of quotients of an integral domain, vector spaces, extension fields, finite fields and the Galois Theory.

    Prerequisite(s)


    MTH 421.

    Schedule Of Classes

  • MTH 462 - Real Analysis II

    MTH 462 - Real Analysis II

    3.00 credit hours

    A continuation of the topics from MTH 461.

    Prerequisite(s)


    MTH 300 and MTH 461.

    Schedule Of Classes

  • MTH 473 - Topology

    MTH 473 - Topology

    3.00 credit hours

    Set theory, metric spaces, general topological spaces, continuous functions, connectedness, compactness, separation axioms and metrization.

    Prerequisite(s)


    MTH 254, MTH 280 and MTH 300.

    Schedule Of Classes

At least one pair from the following:
  • MTH 341 - Probability and Statistics I

    MTH 341 - Probability and Statistics I

    3.00 credit hours

    Basic laws of probability, discrete distributions, random variables, mathematical expectation, moment generating functions, Chebyshev's inequality and Markov chains.

    Prerequisite(s)


    MTH 254.

    Schedule Of Classes

  • MTH 342 - Probability and Statistics II

    MTH 342 - Probability and Statistics II

    3.00 credit hours

    A continuation of MTH 341 to include continuous distributions, central limit theorem, estimations, hypothesis testing and applications.

    Prerequisite(s)


    MTH 341.

    Schedule Of Classes

  • -or-

  • MTH 315 - Ordinary Differential Equations with Applications

    MTH 315 - Ordinary Differential Equations with Applications

    3.00 credit hours

    First and second order differential equations; algebraic, numerical and graphical solutions; series solutions; Laplace transforms; applications.

    Prerequisite(s)


    MTH 254; MTH 300 strongly recommended.

    Schedule Of Classes

  • MTH 355 - Applied Mathematical Techniques

    MTH 355 - Applied Mathematical Techniques

    3.00 credit hours

    Topics in applied mathematics, including series solutions, systems of linear and nonlinear differential equations, integral transforms (Fourier or Laplace transforms), Fourier series, partial differential equations and a survey of applications from the physical sciences, life sciences and economics.

    Prerequisite(s)


    MTH 254 and MTH 256; or MTH 315.

    Schedule Of Classes

Required Support for the B.S. Degree

  • At least nine hours in computer science (except CSC 230 and CSC 231)
  • A major/minor from the departments of BiologyChemistry/Physics, Computer Science or Economics, a major/minor in Finance, a major/minor that has been approved by the Chair of the Mathematics Department or completion of the requirements for the Supplemental Secondary Education major

Recommended

Students intending to go to graduate school in mathematics are strongly encouraged to take MTH 422, MTH 462 and MTH 473.

Typical Course Sequence

Assumes the student has the necessary prerequisites.

  FALL WINTER SPRING
FIRST YEAR:
  • MTH 140 or MTH 151
  • MTH 141 or MTH 152 
  • MTH 152 or MTH 153 
SECOND YEAR:
  • MTH 153 or MTH 254 
  • MTH 280 
  • MTH 254 or MTH 341 
  • MTH 300 
  • MTH 342 
     

 

Mathematics Minor

For additional programs and courses in this department, see Mathematics.

Minor Requirements

At least 21 credit hours, including:

  • MTH 141 - Integrated Calculus II: Calculus of Derivatives -or-

    MTH 141 - Integrated Calculus II: Calculus of Derivatives

    3.00 credit hours

    An integrated calculus course which combines the study of exponential, logarithmic and inverse trigonometric functions with a formal development of the derivative. Students may not receive credit for MTH 141 and any of the following: MTH 122, MTH 130 or MTH 151.

    Prerequisite(s)


    MTH 140.

    Core

    Mathematics.

    Schedule Of Classes

  • MTH 151 - Calculus I

    MTH 151 - Calculus I

    3.00 credit hours

    Fundamental concepts of calculus including limits, continuity and differentiation with applications. The Calculus I, II and III sequence is recommended for students in science as well as for students in other divisions desiring a strong preparation in mathematics. Students may not receive credit for MTH 151 and any of the following: MTH 130, MTH 140 or MTH 141.

    Prerequisite(s)


    MTH 121 and MTH 122; or four years high school math including algebra, geometry and trigonometry.

    Core

    Mathematics.
    IAI

    M1 900

    Schedule Of Classes

  • MTH 152 - Calculus II

    MTH 152 - Calculus II

    3.00 credit hours

    Continuation of Calculus I with emphasis on integration and its applications. Required for the B.S. degree in any department.

    Prerequisite(s)


    MTH 141 or MTH 151.

    Core

    Mathematics.
    IAI

    M1 900

    Schedule Of Classes

  • MTH 153 - Calculus III

    MTH 153 - Calculus III

    3.00 credit hours

    Continuation of Calculus II with an emphasis on infinite series.

    Prerequisite(s)


    MTH 152.

    Core

    Mathematics.
    IAI

    M1 900

    Schedule Of Classes

  • MTH 254 - Calculus IV

    MTH 254 - Calculus IV

    3.00 credit hours

    Functions of two or more variables, partial derivatives, multiple integrals and line integrals. Vector analysis, divergence and Stokes's theorems.

    Prerequisite(s)


    MTH 153.

    Core

    Mathematics.

    Schedule Of Classes

  • MTH 300 - Linear Algebra

    MTH 300 - Linear Algebra

    3.00 credit hours

    Vector spaces, linear transformations, inner products, eigenvalues and eigenvectors, Gram-Schmidt process and orthogonal transformations.

    Prerequisite(s)


    MTH 153; MTH 280 recommended.

    Schedule Of Classes

  • MTH 315 - Ordinary Differential Equations with Applications

    MTH 315 - Ordinary Differential Equations with Applications

    3.00 credit hours

    First and second order differential equations; algebraic, numerical and graphical solutions; series solutions; Laplace transforms; applications.

    Prerequisite(s)


    MTH 254; MTH 300 strongly recommended.

    Schedule Of Classes

Elective

Three credit hours from one of the following:

  • 300-level or higher mathematics course
  • 400-level course or independent study project in another discipline*

*This course or independent study project must involve significant applications of mathematics (such as ECN 440, ECN 445PHY 441); other options must be approved by the chair of the mathematics department before the end of the junior year.

Applied Mathematics, B.A.

For additional programs and courses in this department, see Mathematics.

Major Requirements

  • MTH 141 - Integrated Calculus II: Calculus of Derivatives -or-

    MTH 141 - Integrated Calculus II: Calculus of Derivatives

    3.00 credit hours

    An integrated calculus course which combines the study of exponential, logarithmic and inverse trigonometric functions with a formal development of the derivative. Students may not receive credit for MTH 141 and any of the following: MTH 122, MTH 130 or MTH 151.

    Prerequisite(s)


    MTH 140.

    Core

    Mathematics.

    Schedule Of Classes

  • MTH 151 - Calculus I

    MTH 151 - Calculus I

    3.00 credit hours

    Fundamental concepts of calculus including limits, continuity and differentiation with applications. The Calculus I, II and III sequence is recommended for students in science as well as for students in other divisions desiring a strong preparation in mathematics. Students may not receive credit for MTH 151 and any of the following: MTH 130, MTH 140 or MTH 141.

    Prerequisite(s)


    MTH 121 and MTH 122; or four years high school math including algebra, geometry and trigonometry.

    Core

    Mathematics.
    IAI

    M1 900

    Schedule Of Classes

  • MTH 152 - Calculus II

    MTH 152 - Calculus II

    3.00 credit hours

    Continuation of Calculus I with emphasis on integration and its applications. Required for the B.S. degree in any department.

    Prerequisite(s)


    MTH 141 or MTH 151.

    Core

    Mathematics.
    IAI

    M1 900

    Schedule Of Classes

  • MTH 153 - Calculus III

    MTH 153 - Calculus III

    3.00 credit hours

    Continuation of Calculus II with an emphasis on infinite series.

    Prerequisite(s)


    MTH 152.

    Core

    Mathematics.
    IAI

    M1 900

    Schedule Of Classes

  • MTH 254 - Calculus IV

    MTH 254 - Calculus IV

    3.00 credit hours

    Functions of two or more variables, partial derivatives, multiple integrals and line integrals. Vector analysis, divergence and Stokes's theorems.

    Prerequisite(s)


    MTH 153.

    Core

    Mathematics.

    Schedule Of Classes

  • MTH 280 - The Nature of Proof in Mathematics

    MTH 280 - The Nature of Proof in Mathematics

    3.00 credit hours

    The study of the nature of proof in mathematics. Students learn to find examples and counterexamples of abstractly defined objects and to generalize from those examples to conjecture theorems of their own. Specific proof techniques are taught within the context of subject matter chosen by the instructor.

    Prerequisite(s)


    MTH 152.

    Schedule Of Classes

  • MTH 300 - Linear Algebra

    MTH 300 - Linear Algebra

    3.00 credit hours

    Vector spaces, linear transformations, inner products, eigenvalues and eigenvectors, Gram-Schmidt process and orthogonal transformations.

    Prerequisite(s)


    MTH 153; MTH 280 recommended.

    Schedule Of Classes

  • MTH 315 - Ordinary Differential Equations with Applications

    MTH 315 - Ordinary Differential Equations with Applications

    3.00 credit hours

    First and second order differential equations; algebraic, numerical and graphical solutions; series solutions; Laplace transforms; applications.

    Prerequisite(s)


    MTH 254; MTH 300 strongly recommended.

    Schedule Of Classes

  • MTH 341 - Probability and Statistics I

    MTH 341 - Probability and Statistics I

    3.00 credit hours

    Basic laws of probability, discrete distributions, random variables, mathematical expectation, moment generating functions, Chebyshev's inequality and Markov chains.

    Prerequisite(s)


    MTH 254.

    Schedule Of Classes

  • MTH 342 - Probability and Statistics II

    MTH 342 - Probability and Statistics II

    3.00 credit hours

    A continuation of MTH 341 to include continuous distributions, central limit theorem, estimations, hypothesis testing and applications.

    Prerequisite(s)


    MTH 341.

    Schedule Of Classes

  • MTH 355 - Applied Mathematical Techniques

    MTH 355 - Applied Mathematical Techniques

    3.00 credit hours

    Topics in applied mathematics, including series solutions, systems of linear and nonlinear differential equations, integral transforms (Fourier or Laplace transforms), Fourier series, partial differential equations and a survey of applications from the physical sciences, life sciences and economics.

    Prerequisite(s)


    MTH 254 and MTH 256; or MTH 315.

    Schedule Of Classes

  • MTH 461 - Real Analysis I

    MTH 461 - Real Analysis I

    3.00 credit hours

    Sets, functions, properties and elementary topology of the real number system. Rigorous analysis of limits, sequences, series, continuity, differentiation and integration theory.

    Prerequisite(s)


    MTH 280 and at least one 300-level mathematics course; MTH 290 strongly recommended.

    Schedule Of Classes

    • A major or minor ourside of the Mathematics Department

Capstone Experience

A three credit hour capstone experience in one of:

  • a 400-level course with topics involving significant applications of mathematics in the other major/minor field
  • a 400-level independent study project involving significant applications of mathematics in the other major/minor

The option needs to be approved by the chair of the mathematics department before the end of junior year.

Typical Course Sequence

Assumes the student has the necessary prerequisites.

  FALL WINTER SPRING
FIRST YEAR:
  • MTH 140 or MTH 151
  • MTH 141 or MTH 152 
  • MTH 152 or MTH 153 
SECOND YEAR:
  • MTH 153 or MTH 254 
  • MTH 280 
  • MTH 254 or MTH 341 
  • MTH 300 
  • MTH 342 
     

 

Applied Mathematics, B.S.

For additional programs and courses in this department, see Mathematics.

Required Support Courses for the B.S. Degree

  • MTH 462 - Real Analysis II

    MTH 462 - Real Analysis II

    3.00 credit hours

    A continuation of the topics from MTH 461.

    Prerequisite(s)


    MTH 300 and MTH 461.

    Schedule Of Classes

    • At least nine credit hours in computer science (except CSC 230 and CSC 231)

Major Requirements

  • MTH 141 - Integrated Calculus II: Calculus of Derivatives -or-

    MTH 141 - Integrated Calculus II: Calculus of Derivatives

    3.00 credit hours

    An integrated calculus course which combines the study of exponential, logarithmic and inverse trigonometric functions with a formal development of the derivative. Students may not receive credit for MTH 141 and any of the following: MTH 122, MTH 130 or MTH 151.

    Prerequisite(s)


    MTH 140.

    Core

    Mathematics.

    Schedule Of Classes

  • MTH 151 - Calculus I

    MTH 151 - Calculus I

    3.00 credit hours

    Fundamental concepts of calculus including limits, continuity and differentiation with applications. The Calculus I, II and III sequence is recommended for students in science as well as for students in other divisions desiring a strong preparation in mathematics. Students may not receive credit for MTH 151 and any of the following: MTH 130, MTH 140 or MTH 141.

    Prerequisite(s)


    MTH 121 and MTH 122; or four years high school math including algebra, geometry and trigonometry.

    Core

    Mathematics.
    IAI

    M1 900

    Schedule Of Classes

  • MTH 152 - Calculus II

    MTH 152 - Calculus II

    3.00 credit hours

    Continuation of Calculus I with emphasis on integration and its applications. Required for the B.S. degree in any department.

    Prerequisite(s)


    MTH 141 or MTH 151.

    Core

    Mathematics.
    IAI

    M1 900

    Schedule Of Classes

  • MTH 153 - Calculus III

    MTH 153 - Calculus III

    3.00 credit hours

    Continuation of Calculus II with an emphasis on infinite series.

    Prerequisite(s)


    MTH 152.

    Core

    Mathematics.
    IAI

    M1 900

    Schedule Of Classes

  • MTH 254 - Calculus IV

    MTH 254 - Calculus IV

    3.00 credit hours

    Functions of two or more variables, partial derivatives, multiple integrals and line integrals. Vector analysis, divergence and Stokes's theorems.

    Prerequisite(s)


    MTH 153.

    Core

    Mathematics.

    Schedule Of Classes

  • MTH 280 - The Nature of Proof in Mathematics

    MTH 280 - The Nature of Proof in Mathematics

    3.00 credit hours

    The study of the nature of proof in mathematics. Students learn to find examples and counterexamples of abstractly defined objects and to generalize from those examples to conjecture theorems of their own. Specific proof techniques are taught within the context of subject matter chosen by the instructor.

    Prerequisite(s)


    MTH 152.

    Schedule Of Classes

  • MTH 300 - Linear Algebra

    MTH 300 - Linear Algebra

    3.00 credit hours

    Vector spaces, linear transformations, inner products, eigenvalues and eigenvectors, Gram-Schmidt process and orthogonal transformations.

    Prerequisite(s)


    MTH 153; MTH 280 recommended.

    Schedule Of Classes

  • MTH 315 - Ordinary Differential Equations with Applications

    MTH 315 - Ordinary Differential Equations with Applications

    3.00 credit hours

    First and second order differential equations; algebraic, numerical and graphical solutions; series solutions; Laplace transforms; applications.

    Prerequisite(s)


    MTH 254; MTH 300 strongly recommended.

    Schedule Of Classes

  • MTH 341 - Probability and Statistics I

    MTH 341 - Probability and Statistics I

    3.00 credit hours

    Basic laws of probability, discrete distributions, random variables, mathematical expectation, moment generating functions, Chebyshev's inequality and Markov chains.

    Prerequisite(s)


    MTH 254.

    Schedule Of Classes

  • MTH 342 - Probability and Statistics II

    MTH 342 - Probability and Statistics II

    3.00 credit hours

    A continuation of MTH 341 to include continuous distributions, central limit theorem, estimations, hypothesis testing and applications.

    Prerequisite(s)


    MTH 341.

    Schedule Of Classes

  • MTH 355 - Applied Mathematical Techniques

    MTH 355 - Applied Mathematical Techniques

    3.00 credit hours

    Topics in applied mathematics, including series solutions, systems of linear and nonlinear differential equations, integral transforms (Fourier or Laplace transforms), Fourier series, partial differential equations and a survey of applications from the physical sciences, life sciences and economics.

    Prerequisite(s)


    MTH 254 and MTH 256; or MTH 315.

    Schedule Of Classes

  • MTH 461 - Real Analysis I

    MTH 461 - Real Analysis I

    3.00 credit hours

    Sets, functions, properties and elementary topology of the real number system. Rigorous analysis of limits, sequences, series, continuity, differentiation and integration theory.

    Prerequisite(s)


    MTH 280 and at least one 300-level mathematics course; MTH 290 strongly recommended.

    Schedule Of Classes

    • A major or minor ourside of the Mathematics Department

Capstone Experience

A three credit hour capstone experience in one of:

  • a 400-level course with topics involving significant applications of mathematics in the other major/minor field
  • a 400-level independent study project involving significant applications of mathematics in the other major/minor

The option needs to be approved by the chair of the mathematics department before the end of junior year.

Typical Course Sequence

Assumes the student has the necessary prerequisites.

  FALL WINTER SPRING
FIRST YEAR:
  • MTH 140 or MTH 151
  • MTH 141 or MTH 152 
  • MTH 152 or MTH 153 
SECOND YEAR:
  • MTH 153 or MTH 254 
  • MTH 280 
  • MTH 254 or MTH 341 
  • MTH 300 
  • MTH 342 
     

 

Actuarial Science, B.S.

For additional programs and courses in this department, see Mathematics.

Major Requirements

At least 52 credit hours from Mathematics, Accounting, Economics and Finance, including:

  • MTH 141 - Integrated Calculus II: Calculus of Derivatives -or-

    MTH 141 - Integrated Calculus II: Calculus of Derivatives

    3.00 credit hours

    An integrated calculus course which combines the study of exponential, logarithmic and inverse trigonometric functions with a formal development of the derivative. Students may not receive credit for MTH 141 and any of the following: MTH 122, MTH 130 or MTH 151.

    Prerequisite(s)


    MTH 140.

    Core

    Mathematics.

    Schedule Of Classes

  • MTH 151 - Calculus I

    MTH 151 - Calculus I

    3.00 credit hours

    Fundamental concepts of calculus including limits, continuity and differentiation with applications. The Calculus I, II and III sequence is recommended for students in science as well as for students in other divisions desiring a strong preparation in mathematics. Students may not receive credit for MTH 151 and any of the following: MTH 130, MTH 140 or MTH 141.

    Prerequisite(s)


    MTH 121 and MTH 122; or four years high school math including algebra, geometry and trigonometry.

    Core

    Mathematics.
    IAI

    M1 900

    Schedule Of Classes

  • MTH 152 - Calculus II

    MTH 152 - Calculus II

    3.00 credit hours

    Continuation of Calculus I with emphasis on integration and its applications. Required for the B.S. degree in any department.

    Prerequisite(s)


    MTH 141 or MTH 151.

    Core

    Mathematics.
    IAI

    M1 900

    Schedule Of Classes

  • MTH 153 - Calculus III

    MTH 153 - Calculus III

    3.00 credit hours

    Continuation of Calculus II with an emphasis on infinite series.

    Prerequisite(s)


    MTH 152.

    Core

    Mathematics.
    IAI

    M1 900

    Schedule Of Classes

  • MTH 254 - Calculus IV

    MTH 254 - Calculus IV

    3.00 credit hours

    Functions of two or more variables, partial derivatives, multiple integrals and line integrals. Vector analysis, divergence and Stokes's theorems.

    Prerequisite(s)


    MTH 153.

    Core

    Mathematics.

    Schedule Of Classes

  • MTH 300 - Linear Algebra

    MTH 300 - Linear Algebra

    3.00 credit hours

    Vector spaces, linear transformations, inner products, eigenvalues and eigenvectors, Gram-Schmidt process and orthogonal transformations.

    Prerequisite(s)


    MTH 153; MTH 280 recommended.

    Schedule Of Classes

  • MTH 341 - Probability and Statistics I

    MTH 341 - Probability and Statistics I

    3.00 credit hours

    Basic laws of probability, discrete distributions, random variables, mathematical expectation, moment generating functions, Chebyshev's inequality and Markov chains.

    Prerequisite(s)


    MTH 254.

    Schedule Of Classes

  • MTH 342 - Probability and Statistics II

    MTH 342 - Probability and Statistics II

    3.00 credit hours

    A continuation of MTH 341 to include continuous distributions, central limit theorem, estimations, hypothesis testing and applications.

    Prerequisite(s)


    MTH 341.

    Schedule Of Classes

  • MTH 365 - Theory of Interest

    MTH 365 - Theory of Interest

    3.00 credit hours

    The study of compound interest and annuities; applications to problems in finance and actuarial science. Required for the major in actuarial science.

    Prerequisite(s)


    MTH 152; MTH 153 and FIN 350 are recommended.

    Schedule Of Classes

  • MTH 376 - Problem Solving Seminar: Actuarial Science

    MTH 376 - Problem Solving Seminar: Actuarial Science

    1.00 credit hours

    An intensive seminar in problem solving, provides participants with the ability to solve non-routine problems in insurance-related and/or financial/investment mathematics. Required for Acturarial Science majors.

    Prerequisite(s)


    MTH 341 or MTH 365.

    Schedule Of Classes

  • ACC 201 - Accounting Principles I/Financial

    ACC 201 - Accounting Principles I/Financial

    3.00 credit hours

    An introduction to accounting principles and procedures as they are employed in the communication of financial information to various users, such as management, stockholders and government agencies. Topics include accounting for assets, liabilities, owner's equity and other reporting issues.

    Schedule Of Classes

  • ACC 202 - Accounting Principles II/Managerial

    ACC 202 - Accounting Principles II/Managerial

    3.00 credit hours

    Analysis of accounting for managerial decision-making, planning and control. Topics include budgeting, variance analysis, traditional and nontraditional product costing methods and cost-volume profit analysis.

    Prerequisite(s)


    ACC 201.

    Schedule Of Classes

  • ECN 250 - Microeconomic Principles

    ECN 250 - Microeconomic Principles

    3.00 credit hours

    Introduction to the theory of consumer choice, social and individual welfare, the behavior of business firms under pure competition and monopoly and applied microeconomic topics.

    Prerequisite(s)


    MTH 121 or higher or appropriate placement.

    Core

    Social Science.
    IAI

    S3 902

    Schedule Of Classes

  • ECN 252 - Macroeconomic Principles

    ECN 252 - Macroeconomic Principles

    3.00 credit hours

    Introduction to macroeconomic theory, with emphasis on factors which explain changes in national income, unemployment and inflation. Other topics include money and banking and fiscal and monetary policies.

    Prerequisite(s)


    MTH 121 or higher or appropriate placement; ECN 250 recommended.

    Core

    Social Science.
    IAI

    S3 901

    Schedule Of Classes

  • ECN 360 - Money and Banking

    ECN 360 - Money and Banking

    3.00 credit hours

    An examination of the function of money, credit and financial institutions in the U.S. economy, and an analysis of Federal Reserve policy and its impact on the macroeconomy.

    Prerequisite(s)


    ECN 250 and ECN 252; or ECN 100.

    Schedule Of Classes

  • ECN 445 - Econometrics

    ECN 445 - Econometrics

    3.00 credit hours

    This course provides exposure to the estimation and testing of economic models using statistical methods and appropriate empirical data. Emphasis is placed on model construction and the use of multiple linear regression for interpretation, analysis and forecasting.

    Prerequisite(s)


    ECN 250; ECN 252; ECN 241 or MTH 341 and MTH 342.

    Schedule Of Classes

  • FIN 350 - Corporate Finance

    FIN 350 - Corporate Finance

    3.00 credit hours

    An introduction to corporate financial management. Topics include financial statement analysis, discounted cash flow analysis, bond and stock valuation, common stock/debt financing, risk and return, cost of capital and capital budgeting.

    Prerequisite(s)


    ACC 201; ECN 250; ECN 252; ECN 241 or MTH 341 and MTH 342.

    Schedule Of Classes

  • FIN 400 - Investments and Portfolio Management

    FIN 400 - Investments and Portfolio Management

    3.00 credit hours

    A broad survey of investments and portfolio management. Topics include stock and bond market analysis and valuation, portfolio analysis and management, efficient markets, international financial markets and derivative securities.

    Prerequisite(s)


    FIN 350.

    Schedule Of Classes

  • FIN 425 - Financial Institutions

    FIN 425 - Financial Institutions

    3.00 credit hours

    A study of measuring and managing the risks faced by financial institutions. Topics include the organizational and regulatory structure of the financial services industry. The risks measured may include interest rate risk, market risk, credit risk, off-balance sheet risk, liquidity risk, insolvency risk, foreign exchange risk and sovereign risk. The risk management methods may include liability and liquidity management, deposit insurance and capital adequacy, product or geographic expansion, and the use of derivatives.

    Prerequisite(s)


    ECN 360 and FIN 350.

    Schedule Of Classes

Required Support Courses for the B.S. Degree

At least nine credit hours in computer science (except CSC 230 and CSC 231).

Recommended Electives

  • COM 214 - Group Process

    COM 214 - Group Process

    3.00 credit hours

    The understanding and practice of small group communication theory and skills in information-sharing and decision-making discussions.

    Core

    Communication.

    Schedule Of Classes

  • COM 230 - Business and Professional Communication

    COM 230 - Business and Professional Communication

    3.00 credit hours

    This course focuses on developing the skills and strategies involved in written, face-to-face and electronic communication in professional settings. Students learn fundamentals of interviewing, writing and presenting in professional contexts and may investigate organizational communication practices such as performance feedback, training, meeting management and organizational identity.

    Prerequisite(s)


    One of COM 100, COM 200 or COM 214; Junior standing.

    Schedule Of Classes

  • CSC 210 - Data Structures and Algorithms

    CSC 210 - Data Structures and Algorithms

    3.00 credit hours

    Structures, techniques and algorithms for managing data. Topics include variations of linked lists; binary trees, B-trees and other types of search trees; advanced searching and sorting algorithms; graphs and graph algorithms; and analysis of algorithms. Programming required.

    Prerequisite(s)


    CSC 161 and knowledge of C++ or Java; CSC 230 recommended.

    Schedule Of Classes

  • CSC 230 - Discrete Structures I -or-

    CSC 230 - Discrete Structures I

    3.00 credit hours

    Fundamental topics in mathematics and computer science including formal logic, proof techniques, sets, relations and functions, combinatorics, graphs, Boolean algebra, logic circuits and finite state machines.

    Prerequisite(s)


    CSC 160; MTH 121 or higher.

    Core

    Mathematics.

    Schedule Of Classes

  • MTH 280 - The Nature of Proof in Mathematics

    MTH 280 - The Nature of Proof in Mathematics

    3.00 credit hours

    The study of the nature of proof in mathematics. Students learn to find examples and counterexamples of abstractly defined objects and to generalize from those examples to conjecture theorems of their own. Specific proof techniques are taught within the context of subject matter chosen by the instructor.

    Prerequisite(s)


    MTH 152.

    Schedule Of Classes

  • FIN 475 - Derivatives: Markets, Pricing and Applications

    FIN 475 - Derivatives: Markets, Pricing and Applications

    3.00 credit hours

    This course deals with financial instruments known as derivatives and their use in managing risk and creating leverage. The derivatives market consists of financial contracts in the form of options, forwards, futures, swaps, debt-related securities and many other types of related instruments. These contracts are used by corporations, investment funds, individuals and governments to control risk arising from fluctuating interest rates, exchange rates, stock prices and commodity prices. They are also used by investors and financial institutions to leverage investment positions. This course is designed to expand understanding of derivative related financial instruments and their use in investment and corporate financial management. Upon completion of the course, students will have a clear understanding of derivative markets, the theory of pricing derivative securities and the use of derivatives in practice.

    Prerequisite(s)


    FIN 350.

    Schedule Of Classes

  • IFS 103 - Data Analysis and Modeling Using Spreadsheets

    IFS 103 - Data Analysis and Modeling Using Spreadsheets

    1.50 credit hours

    Introduction to organization and analysis of data that appears in tabular form. Topics include presentation and analysis of quantitative and qualitative data, statistical and financial functions, formulas, graphical tools, macros and scripting, modeling and simulation, scenarios and goal-seeking and what-if analysis. Case studies will be used extensively.

    Prerequisite(s)


    MTH 118 or higher; previous experience developing spreadsheets.

    Schedule Of Classes

Recommendations

It is strongly recommended that Actuarial Science majors pass at least one actuarial exam (preferably in the summer following their second year) and complete an internship before graduation.

Typical Course Sequence

Assumes the student has the necessary prerequisites.

  FALL WINTER SPRING
FIRST YEAR:
  • MTH 140 or MTH 151 
  • MTH 141 or MTH 152 
  • MTH 152 or MTH 153 
SECOND YEAR:
  • MTH 153 or MTH 254 

     
  • MTH 341 
        or
  • MTH 254 and/or MTH 365 
  • MTH 342 and/or MTH 376 

     

Mathematics Student Handbook -- For current students, select the handbook corresponding to your catalog year.  For prospective students, select the most recent version.

NOTE: This page contains all of the regular course descriptions for this discipline or program. Academic credit for each course is noted in parenthesis after the course title. Prerequisites (if any) and the general education requirements, both Core and All-College Requirements (ACRs), which each course fulfills (if any) are noted following each course description. Not all courses are offered every year. Check Merlin, our searchable course schedule, to see which courses are being offered in upcoming terms.

MTH 095 Intermediate Algebra (3.00)

A standard course in intermediate algebra (high school Algebra II) covering equations, exponents and radicals, rational expressions, graphing, and logarithms. It is designed to prepare students for MTH 118 or 121. This course does not count toward a major or minor in mathematics. It does not count toward graduation. It does count toward full-time status.

Prerequisite(s): One year high school algebra or placement test.

MTH 106 Elementary Mathematics I - College Algebra (3.00)

College algebra for the prospective elementary teacher, to include linear, quadratic, and absolute value equations and inequalities; graphs and applications of linear, quadratic, rational, exponential and logarithmic functions; conic sections; and use of augmented matrices to solve systems of linear equations. Emphasis on both the procedural and conceptual nature of the material.

Prerequisite(s): MTH 095 or two years of high school algebra; Elementary Education major.

MTH 107 Elementary Mathematics II (3.00)

Essentials of mathematics for the prospective elementary teacher to include cognitive reasoning, sets, logic and structure of arithmetic through the real numbers including numeration systems, percents, proportions and number theory. Emphasis on problem solving techniques.

Prerequisite(s): MTH 106 or placement; high school geometry; Elementary Education major.

MTH 108 Elementary Mathematics III (3.00)

Continuation of MTH 107 to include Euclidean and transformational geometry, measurement and the metric system, basic algebra, probability and applied statistics. Emphasis on problem solving.

Prerequisite(s): MTH 107, high school geometry and Elementary Education major.
Core: Mathematics.

MTH 111 Quantitative Reasoning (3.00)

This course is designed to fulfill the general education core requirement in mathematics for students whose majors do not require specific skills in mathematics. The course focuses on mathematical reasoning and applications in today’s world. Some of the following topics are covered in-depth: graph theory including optimal routes, planning and scheduling, statistics and interpretation of data and probability. Time permitting, other topics may be chosen at instructor’s discretion.

Prerequisite(s): Two years of high school mathematics or instructor’s permission.
Core: Mathematics.

MTH 118 Finite Mathematics (3.00)

An introduction to mathematical and critical thinking skills with applications. Topics include symbolic logic, set theory, elementary combinatorics, probability and statistics, mathematics of finance, applications of linear functions and equations, and may include applications of matrices.

Prerequisite(s): MTH 095 or two years of high school algebra.
Core: Mathematics.

MTH 121 College Algebra (3.00)

This course covers the algebra skills needed for the study of calculus. Topics include linear, quadratic and absolute value equations and inequalities; graphs of linear, quadratic and rational functions; graphs, properties and applications of exponential and logarithmic functions. Students may not receive credit for both MTH 121 and MTH 140.

Prerequisite(s): MTH 095 or two years high school algebra.

MTH 122 College Trigonometry (3.00)

This course covers the topics in trigonometry and the theory of equations needed for the study of calculus. Topics include definitions and graphs of the trigonometric functions, solutions of triangles, conic sections, systems of equations, DeMoivre’s theorem and theory of equations. Students may not receive credit for both MTH 122 and MTH 140.

Prerequisite(s): MTH 121 or 2 1/2 years high school algebra.

MTH 130 Calculus for Business and Social Sciences (3.00)

An introductory course in the elements of the differential and integral calculus, including applications in business and social sciences. To include: limits and continuity, differentiation and integration of algebraic functions, max/min theory, exponential functions and their calculus. Students may not receive credit for MTH 130 and either MTH 141 or MTH 151. This course does not prepare students for MTH 152.

Prerequisite(s): One of MTH 121, MTH 140 or three years high school algebra.
Core: Mathematics.

MTH 140 Integrated Calculus I: Calculus Limits (3.00)

An integrated calculus course which combines the study of algebraic and trigonometric functions with a formal development of the limit. Students may not receive credit for MTH 140 and any of MTH 121, MTH 122, or MTH 151.

Prerequisite(s): Four years of high school mathematics, including trigonometry and geometry.

MTH 141 Integrated Calculus II: Calculus of Derivatives (3.00)

An integrated calculus course which combines the study of exponential, logarithmic and inverse trigonometric functions with a formal development of the derivative. Students may not receive credit for MTH 141 and any of MTH 122, MTH 130, or MTH 151.

Prerequisite(s): MTH 140.
Core: Mathematics.

MTH 151 Calculus I (3.00)

Fundamental concepts of calculus including limits, continuity and differentiation with applications. The Calculus I, II and III sequence is recommended for students in science as well as for students in other divisions desiring a strong preparation in mathematics. Students may not receive credit for MTH 151 and any of the following: MTH 130. MTH 140, and MTH 141.

Prerequisite(s): MTH 121 and MTH 122; or four years high school math including algebra, geometry and trigonometry.
Core: Mathematics.

MTH 152 Calculus II (3.00)

Continuation of Calculus I with emphasis on integration and its applications. Required for the B.S. degree in any department.

Prerequisite(s): MTH 141 or MTH 151.
Core: Mathematics.

MTH 153 Calculus III (3.00)

Continuation of Calculus II with an emphasis on infinite series.

Prerequisite(s): MTH 152.
Core: Mathematics.

MTH 230 Discrete Structures I (3.00)

(Same as CSC 230) Fundamental topics in mathematics and computer science including formal logic, proof techniques, sets, relations and functions, combinatorics, graphs, logic circuits and finite state machines.

Prerequisite(s): CSC 160; MTH 121 or higher or appropriate placement.
Core: Mathematics.

MTH 231 Discrete Structures II (3.00)

(Same as CSC 231) A second course in discrete mathematics that introduces more advanced topics as well as covering some of the material introduced in CSC 230/MTH 230 in more depth. Topics include growth of functions and complexity of algorithms; number theory; recursive definition and algorithms; proof techniques; program verification; discrete probability; finite state automata; and formal grammars and language recognizers. Hands-on labs allow students to apply one or more course topics to build practical working systems.

Prerequisite(s): CSC 230/MTH 230.

MTH 254 Calculus IV (3.00)

Functions of two or more variables, partial derivatives, multiple integrals and line integrals. Vector analysis, divergence and Stokes’s theorems.

Prerequisite(s): MTH 153.
Core: Mathematics.

MTH 280 The Nature of Proof in Mathematics (3.00)

The study of the nature of proof in mathematics. Students learn to find examples and counterexamples of abstractly defined objects and to generalize from those examples to conjecture theorems of their own. Specific proof techniques are taught within the context of subject matter chosen by the instructor.

Prerequisite(s): MTH 152.

MTH 290 The Infinite and the Infinitesimal (1.50)

A rigorous investigation of topics from a variety of mathematical settings that involve the infinite and the infinitesimal. Topics to include mathematical induction, limits and cardinality.

Prerequisite(s): MTH 153 and MTH 280.

MTH 297 Internship (0.00-9.00)

Instructor consent required.

MTH 299 Independent Study (1.00-9.00)

Instructor consent required.

MTH 300 Linear Algebra (3.00)

Vector spaces, linear transformations, inner products, eigenvalues and eigenvectors, Gram-Schmidt process and orthogonal transformations.

Prerequisite(s): MTH 153; MTH 280 recommended.

MTH 305 College Geometry (3.00)

Euclidean and non-Euclidean geometry in two and three dimensions. Axiomatics and the nature of proof. Required for supplemental secondary education majors in mathematics.

Prerequisite(s): MTH 280.

MTH 310 History of Mathematics (3.00)

An examination of the historical origins and genesis of important mathematical concepts from the ancient Greeks to modern times. Emphasis on the methodologies and philosophies of those involved in the creative process. Required for supplemental secondary education majors in mathematics.

Prerequisite(s): MTH 153.

MTH 315 Ordinary Differential Equations With Applications (3.00)

First and second order differential equations; algebraic, numerical and graphical solutions; series solutions; Laplace transforms; applications.

Prerequisite(s): MTH 254; MTH 300 strongly recommended.

MTH 323 Complex Variables (3.00)

Algebra, geometry and calculus with complex numbers. Transformations of the complex plane, analytic functions, Cauchy theory of integration, power series and residue theory.

Prerequisite(s): MTH 254.

MTH 341 Probability and Statistics I (3.00)

Basic laws of probability, discrete distributions, random variables, mathematical expectation, moment generating functions, Chebyshev’s inequality and Markov chains.

Prerequisite(s): MTH 254.

MTH 342 Probability and Statistics II (3.00)

A continuation of MTH 341 to include continuous distributions, central limit theorem, estimations, hypothesis testing and applications.

Prerequisite(s): MTH 341.

MTH 355 Applied Mathematical Techniques (3.00)

(Same as PHY 355) Topics in applied mathematics, including series solutions, systems of linear and nonlinear differential equations, integral transforms (Fourier or Laplace transforms), Fourier series, partial differential equations and a survey of applications from the physical sciences, life sciences and economics.

Prerequisite(s): MTH 315.

MTH 365 The Theory of Interest (3.00)

(Same as FIN 365) The study of compound interest and annuities; applications to problems in finance and actuarial science. Required for the major in actuarial science.

Prerequisite(s): MTH 152; MTH 153 and FIN 350 are recommended.

MTH 375 Problem Solving Seminar: Mathematics (1.00)

An intensive seminar in problem solving, intended to provide participants with the ability to solve non-routine problems similar to those appearing in undergraduate mathematics journals and mathematics competitions such as the AMC 8/10/12, AIME and the William Lowell Putnam competition.

Prerequisite(s): MTH 153 and MTH 280; or instructor consent.

MTH 376 Problem Solving Seminar: Actuarial Science (1.00)

An intensive seminar in problem solving, provides participants with the ability to solve non-routine problems in insurance-related and/or financial/investment mathematics. Required for Acturarial Science majors.

Prerequisite(s): MTH 341 or MTH 365.

MTH 397 Internship (0.00-9.00)

Instructor consent required.

MTH 399 Independent Study (1.00-9.00)

Instructor consent required.

MTH 421 Abstract Algebra I (3.00)

Elementary theory of rings, fields and groups, including modular arithmetic, polynomial rings, factorization, ideals and quotient rings, homomorphisms and subgroups.

Prerequisite(s): MTH 280 and at least one 300-level mathematics course.

MTH 422 Abstract Algebra II (3.00)

Advanced theory of rings, fields and groups, including symmetric and alternating groups, structure theorems for finite abelian groups, principal ideal domains, unique factorization domains, the field of quotients of an integral domain, vector spaces, extension fields, finite fields and the Galois Theory.

Prerequisite(s): MTH 421.

MTH 461 Real Analysis I (3.00)

Sets, functions, properties and elementary topology of the real number system. Rigorous analysis of limits, sequences, series, continuity, differentiation and integration theory.

Prerequisite(s): MTH 280 and at least one 300-level mathematics course; MTH 290 strongly recommended.

MTH 462 Real Analysis II (3.00)

A continuation of the topics from MTH 461.

Prerequisite(s): MTH 300 and MTH 461.

MTH 473 Topology (3.00)

Set theory, metric spaces, general topological spaces, continuous functions, connectedness, compactness, separation axioms and metrization.

Prerequisite(s): MTH 254, MTH 280 and MTH 300.

MTH 490 Seminar (3.00)

Exploration of topics not included in other mathematics courses. Specific topics are determined by the interest of the students and faculty. Repeatable with different topic.

Prerequisite(s): MTH 421 or MTH 461 or consent of instructor.

MTH 497 Internship (0.00-9.00)

Instructor consent required.

MTH 499 Independent Study (1.00-3.00)

Instructor consent required.

Katherine Heller

Associate Professor of Mathematics
MTH
630-637-5226
Marco Martinez

Assistant Professor of Mathematics
MTH
630-637-5228
Mary McMahon

Associate Professor of Mathematics; Mathematics Education Coordinator
MTH
630-637-5229
Neil Nicholson

Associate Professor of Mathematics
MTH
5233
Matthew A. Pons

Associate Professor of Mathematics; Chair of Mathematics
MTH
5231
David Schmitz

Associate Professor of Mathematics
MTH
630-637-5232
Richard Wilders

Marie and Bernice Gantzert Professor in the Liberal Arts and Sciences; Professor of Mathematics; Director of the Lederman Scholars and Community Scholars
MTH
630-637-5234
Richard Wyllie

Half-time Associate Professor of Mathematics
MTH
5237

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