Mathematics and Actuarial Science

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

Mathematics, B.A.

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

  • MATH 151 - Calculus I

    MATH 151 - Calculus I

    4.00 credit hours

    An exploration of the fundamental concepts of single-variable calculus including limits, continuity, differentiation and integration with applications.

    Schedule Of Classes

  • MATH 152 - Calculus II

    MATH 152 - Calculus II

    4.00 credit hours

    A continuation of single-variable calculus with emphasis on advanced integration techniques and applications, parametric equations, polar coordinates, and infinite series.

    Schedule Of Classes

  • MATH 253 - Calculus III

    MATH 253 - Calculus III

    4.00 credit hours

    A continuation of calculus with an emphasis on vectors, vector-valued and multiple-variable functions, partial derivatives, line and multiple integrals, vector analysis, Green's, divergence and Stokes' theorems.

    Schedule Of Classes

  • MATH 280 - The Nature of Proof in Mathematics

    MATH 280 - The Nature of Proof in Mathematics

    4.00 credit hours

    A study of the nature of proof in mathematics. Specific proof techniques are taught within the context of number theory, set theory, functions, and cardinality.

    Schedule Of Classes

  • MATH 300 - Linear Algebra

    MATH 300 - Linear Algebra

    4.00 credit hours

    Vector spaces, linear transformations, inner products, eigenvalues and eigenvectors, Gram-Schmidt process and orthogonal transformations. Students may not receive credit for MATH 300 and MATH 255.

    Schedule Of Classes

  • MATH 310 - History of Mathematics

    MATH 310 - History of Mathematics

    4.00 credit hours

    A survey of the evolution of mathematical ideas and techniques, examining how historical, philosophical and cultural settings influenced its development. Emphasis on problem solving methodologies and the diversity of mathematicians contributing to the field.

    Schedule Of Classes

  • MATH 390 - Research Methods

    MATH 390 - Research Methods

    2.00 credit hours

    An intensive seminar intended to introduce research methods in mathematics, develop processes for approaching and solving non-routine problems, and exploring advanced written and oral presentation of solutions.

    Schedule Of Classes

  • MATH 421 - Abstract Algebra I

    MATH 421 - Abstract Algebra I

    4.00 credit hours

    Introduction to the theory of rings, fields and groups. Topics include modular arithmetic, polynomial rings, factorization and tests for irreducibility, ideals, quotient rings, morphisms and subgroups.

    Schedule Of Classes

  • MATH 461 - Real Analysis I

    MATH 461 - Real Analysis I

    4.00 credit hours

    A study of sets, functions, properties and elementary topology of the real number system, sequences, series, continuity, differentiation and integration.

    Schedule Of Classes

  • MATH 490 - Seminar in Advanced Mathematics

    MATH 490 - Seminar in Advanced Mathematics

    2.00 credit hours

    A critical evaluation, including modern-day and historical applications, of advanced topics not included in other mathematics courses. Emphasis is placed on reflecting upon and further developing each student's philosophical view of mathematics as a discipline.

    Schedule Of Classes

Two of the following:

  • MATH 260 - Introduction to Mathematical Statistics

    MATH 260 - Introduction to Mathematical Statistics

    4.00 credit hours

    This course provides a calculus-based introduction to probability and the beginning of statistical inference. Topics included: Descriptive statistics, elements of probability theory, random variables, central limit theorem, confidence intervals, hypothesis testing and simple linear regression.

    Schedule Of Classes

  • MATH 305 - College Geometry

    MATH 305 - College Geometry

    4.00 credit hours

    Euclidean and non-Euclidean geometry in two and three dimensions via the axiomatic approach. Other topics include transformations, isometries and symmetries of the plane.

    Schedule Of Classes

  • MATH 315 - Ordinary Differential Equations

    MATH 315 - Ordinary Differential Equations

    4.00 credit hours

    First and second order differential equations; algebraic, numerical and graphical solutions; series solutions; Laplace transforms; applications. Students may not receive credit for MATH 315 and MATH 255.

    Schedule Of Classes

  • MATH 320 - Complex Variables

    MATH 320 - Complex Variables

    4.00 credit hours

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

    Schedule Of Classes

  • MATH 340 - Probability

    MATH 340 - Probability

    4.00 credit hours

    Basic laws of probability, discrete and continuous distributions of random variables, mathematical expectation, moment generating functions and transformations, random variables with multivariate probability distributions.

    Schedule Of Classes

  • MATH 422 - Abstract Algebra II

    MATH 422 - Abstract Algebra II

    4.00 credit hours

    Advanced theory of rings, fields and groups, including symmetric and alternating groups, structure theorems for finite abelian groups, vector spaces, extension fields, finite fields and Galois theory.

    Schedule Of Classes

  • MATH 462 - Real Analysis II

    MATH 462 - Real Analysis II

    4.00 credit hours

    A continuation of the topics from MATH 461 including sequences and series of functions, Riemann and Lebesgue integration, elementary measure theory, and an introduction to basic concepts in functional analysis.

    Schedule Of Classes

  • MATH 470 - Topology

    MATH 470 - Topology

    4.00 credit hours

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

    Schedule Of Classes

    • *Cannot take both MATH 260 and MATH 340.

Note:

Students seeking teaching licensure must also complete the Secondary Education major requirements as well as the following courses:

  • MATH 305 - College Geometry 
  • MATH 260 - Introduction to Mathematical Statistics

Students must demonstrate elementary competence in a foreign language. For more information, see the B.A. Degree Requirements within the Academic Regulations section of this catalog.

Mathematics, B.S.

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

  • MATH 151 - Calculus I

    MATH 151 - Calculus I

    4.00 credit hours

    An exploration of the fundamental concepts of single-variable calculus including limits, continuity, differentiation and integration with applications.

    Schedule Of Classes

  • MATH 152 - Calculus II

    MATH 152 - Calculus II

    4.00 credit hours

    A continuation of single-variable calculus with emphasis on advanced integration techniques and applications, parametric equations, polar coordinates, and infinite series.

    Schedule Of Classes

  • MATH 253 - Calculus III

    MATH 253 - Calculus III

    4.00 credit hours

    A continuation of calculus with an emphasis on vectors, vector-valued and multiple-variable functions, partial derivatives, line and multiple integrals, vector analysis, Green's, divergence and Stokes' theorems.

    Schedule Of Classes

  • MATH 280 - The Nature of Proof in Mathematics

    MATH 280 - The Nature of Proof in Mathematics

    4.00 credit hours

    A study of the nature of proof in mathematics. Specific proof techniques are taught within the context of number theory, set theory, functions, and cardinality.

    Schedule Of Classes

  • MATH 300 - Linear Algebra

    MATH 300 - Linear Algebra

    4.00 credit hours

    Vector spaces, linear transformations, inner products, eigenvalues and eigenvectors, Gram-Schmidt process and orthogonal transformations. Students may not receive credit for MATH 300 and MATH 255.

    Schedule Of Classes

  • MATH 320 - Complex Variables

    MATH 320 - Complex Variables

    4.00 credit hours

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

    Schedule Of Classes

  • MATH 390 - Research Methods

    MATH 390 - Research Methods

    2.00 credit hours

    An intensive seminar intended to introduce research methods in mathematics, develop processes for approaching and solving non-routine problems, and exploring advanced written and oral presentation of solutions.

    Schedule Of Classes

  • MATH 421 - Abstract Algebra I

    MATH 421 - Abstract Algebra I

    4.00 credit hours

    Introduction to the theory of rings, fields and groups. Topics include modular arithmetic, polynomial rings, factorization and tests for irreducibility, ideals, quotient rings, morphisms and subgroups.

    Schedule Of Classes

  • MATH 461 - Real Analysis I

    MATH 461 - Real Analysis I

    4.00 credit hours

    A study of sets, functions, properties and elementary topology of the real number system, sequences, series, continuity, differentiation and integration.

    Schedule Of Classes

  • MATH 490 - Seminar in Advanced Mathematics

    MATH 490 - Seminar in Advanced Mathematics

    2.00 credit hours

    A critical evaluation, including modern-day and historical applications, of advanced topics not included in other mathematics courses. Emphasis is placed on reflecting upon and further developing each student's philosophical view of mathematics as a discipline.

    Schedule Of Classes

  • CSCE 160 - Introduction to Computer Programming

    CSCE 160 - Introduction to Computer Programming

    4.00 credit hours

    An introduction to computer science and programming, emphasizing the development of algorithms and problem solving skills using both procedural and object-oriented approaches. Topics include data types; I/O; arithmetic, relational and logical operators; control structures; functions; simple data structures; different computing environments such as the Linux operating system are also explored. Integrated laboratory.

    Schedule Of Classes

  • CSCE 210 - Data Structures

    CSCE 210 - Data Structures

    4.00 credit hours

    Elementary data structures and algorithms. Topics include the design, implementation, application and variations of the following: linked lists, stacks and queues, different types of trees, searching and sorting algorithms, graphs, and introduction to analysis of algorithms. Extensive programming required. Integrated laboratory.

    Schedule Of Classes

One of the following:

  • MATH 260 - Introduction to Mathematical Statistics

    MATH 260 - Introduction to Mathematical Statistics

    4.00 credit hours

    This course provides a calculus-based introduction to probability and the beginning of statistical inference. Topics included: Descriptive statistics, elements of probability theory, random variables, central limit theorem, confidence intervals, hypothesis testing and simple linear regression.

    Schedule Of Classes

  • MATH 315 - Ordinary Differential Equations

    MATH 315 - Ordinary Differential Equations

    4.00 credit hours

    First and second order differential equations; algebraic, numerical and graphical solutions; series solutions; Laplace transforms; applications. Students may not receive credit for MATH 315 and MATH 255.

    Schedule Of Classes

  • MATH 340 - Probability

    MATH 340 - Probability

    4.00 credit hours

    Basic laws of probability, discrete and continuous distributions of random variables, mathematical expectation, moment generating functions and transformations, random variables with multivariate probability distributions.

    Schedule Of Classes

Two of the following:

  • MATH 422 - Abstract Algebra II

    MATH 422 - Abstract Algebra II

    4.00 credit hours

    Advanced theory of rings, fields and groups, including symmetric and alternating groups, structure theorems for finite abelian groups, vector spaces, extension fields, finite fields and Galois theory.

    Schedule Of Classes

  • MATH 462 - Real Analysis II

    MATH 462 - Real Analysis II

    4.00 credit hours

    A continuation of the topics from MATH 461 including sequences and series of functions, Riemann and Lebesgue integration, elementary measure theory, and an introduction to basic concepts in functional analysis.

    Schedule Of Classes

  • MATH 470 - Topology

    MATH 470 - Topology

    4.00 credit hours

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

    Schedule Of Classes

One of the following:

Computer Science

A minor in Computer Science.

Physics

  • PHYS 161 - Physics I: Mechanics and Heat

    PHYS 161 - Physics I: Mechanics and Heat

    4.00 credit hours

    Newton's Laws of motion, energy conservation, rotational motion, thermodynamics. Laboratory required, includes experimental physics and an introduction to computational modeling. Credit may be earned for only one of PHYS 131 and PHYS 161.

    Schedule Of Classes

  • PHYS 162 - Physics II: Electromagnetism, Waves and Optics

    PHYS 162 - Physics II: Electromagnetism, Waves and Optics

    4.00 credit hours

    Oscillations, waves, electricity, magnetism, optics. Laboratory required, includes experimental physics and computational modeling. Credit may be earned for only one of PHYS 132 and PHYS 162.

    Schedule Of Classes

Chemistry

  • CHEM 121 - General Chemistry I

    CHEM 121 - General Chemistry I

    4.00 credit hours

    A discussion of chemical principles through examples from the chemistry of carbon compounds and the molecules found in living systems. Major topics include atomic and electronic structure, ions, molecules, Lewis structures, VSEPR, hybridization, intermolecular forces, chromatography, equilibria, kinetics, stereochemistry and polymer chemistry. Laboratory required.

    Schedule Of Classes

  • CHEM 122 - General Chemistry II

    CHEM 122 - General Chemistry II

    4.00 credit hours

    An introduction to chemical principles within the context of the environmental issues of fuel and energy, water treatment and acid rain. Major chemical topics include gas laws, aqueous reactions and solubility, equilibria, acid/base chemistry, buffers, thermochemistry, redox, electrochemistry and nuclear chemistry. Laboratory required.

    Schedule Of Classes

Applied Mathematics, B.S.

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

  • MATH 151 - Calculus I

    MATH 151 - Calculus I

    4.00 credit hours

    An exploration of the fundamental concepts of single-variable calculus including limits, continuity, differentiation and integration with applications.

    Schedule Of Classes

  • MATH 152 - Calculus II

    MATH 152 - Calculus II

    4.00 credit hours

    A continuation of single-variable calculus with emphasis on advanced integration techniques and applications, parametric equations, polar coordinates, and infinite series.

    Schedule Of Classes

  • MATH 253 - Calculus III

    MATH 253 - Calculus III

    4.00 credit hours

    A continuation of calculus with an emphasis on vectors, vector-valued and multiple-variable functions, partial derivatives, line and multiple integrals, vector analysis, Green's, divergence and Stokes' theorems.

    Schedule Of Classes

  • MATH 260 - Introduction to Mathematical Statistics

    MATH 260 - Introduction to Mathematical Statistics

    4.00 credit hours

    This course provides a calculus-based introduction to probability and the beginning of statistical inference. Topics included: Descriptive statistics, elements of probability theory, random variables, central limit theorem, confidence intervals, hypothesis testing and simple linear regression.

    Schedule Of Classes

  • MATH 280 - The Nature of Proof in Mathematics

    MATH 280 - The Nature of Proof in Mathematics

    4.00 credit hours

    A study of the nature of proof in mathematics. Specific proof techniques are taught within the context of number theory, set theory, functions, and cardinality.

    Schedule Of Classes

  • MATH 300 - Linear Algebra

    MATH 300 - Linear Algebra

    4.00 credit hours

    Vector spaces, linear transformations, inner products, eigenvalues and eigenvectors, Gram-Schmidt process and orthogonal transformations. Students may not receive credit for MATH 300 and MATH 255.

    Schedule Of Classes

  • MATH 315 - Ordinary Differential Equations

    MATH 315 - Ordinary Differential Equations

    4.00 credit hours

    First and second order differential equations; algebraic, numerical and graphical solutions; series solutions; Laplace transforms; applications. Students may not receive credit for MATH 315 and MATH 255.

    Schedule Of Classes

  • MATH 350 - Data Analytics

    MATH 350 - Data Analytics

    4.00 credit hours

    An overview of the field of statistical learning. Survey of techniques for predictive analytics including model selection and validation methods, linear and non-linear models and supervised and unsupervised learning. Implementation of all techniques will employ appropriate software.

    Schedule Of Classes

  • MATH 390 - Research Methods

    MATH 390 - Research Methods

    2.00 credit hours

    An intensive seminar intended to introduce research methods in mathematics, develop processes for approaching and solving non-routine problems, and exploring advanced written and oral presentation of solutions.

    Schedule Of Classes

  • MATH 490 - Seminar in Advanced Mathematics

    MATH 490 - Seminar in Advanced Mathematics

    2.00 credit hours

    A critical evaluation, including modern-day and historical applications, of advanced topics not included in other mathematics courses. Emphasis is placed on reflecting upon and further developing each student's philosophical view of mathematics as a discipline.

    Schedule Of Classes

  • CSCE 160 - Introduction to Computer Programming

    CSCE 160 - Introduction to Computer Programming

    4.00 credit hours

    An introduction to computer science and programming, emphasizing the development of algorithms and problem solving skills using both procedural and object-oriented approaches. Topics include data types; I/O; arithmetic, relational and logical operators; control structures; functions; simple data structures; different computing environments such as the Linux operating system are also explored. Integrated laboratory.

    Schedule Of Classes

  • CSCE 210 - Data Structures

    CSCE 210 - Data Structures

    4.00 credit hours

    Elementary data structures and algorithms. Topics include the design, implementation, application and variations of the following: linked lists, stacks and queues, different types of trees, searching and sorting algorithms, graphs, and introduction to analysis of algorithms. Extensive programming required. Integrated laboratory.

    Schedule Of Classes

    • A minor in an applied area (Biology, Biochemistry, Chemistry, Computer Science, Economics, Environmental Studies, Finance, Neuroscience, Physics, Psychology or other minor approved by the department)

One of the following sequences:

This choice should pair with the applied area; please consult the department.

  • MATH 421 - Abstract Algebra I

    MATH 421 - Abstract Algebra I

    4.00 credit hours

    Introduction to the theory of rings, fields and groups. Topics include modular arithmetic, polynomial rings, factorization and tests for irreducibility, ideals, quotient rings, morphisms and subgroups.

    Schedule Of Classes

  • MATH 422 - Abstract Algebra II

    MATH 422 - Abstract Algebra II

    4.00 credit hours

    Advanced theory of rings, fields and groups, including symmetric and alternating groups, structure theorems for finite abelian groups, vector spaces, extension fields, finite fields and Galois theory.

    Schedule Of Classes

    • -or-

  • MATH 461 - Real Analysis I

    MATH 461 - Real Analysis I

    4.00 credit hours

    A study of sets, functions, properties and elementary topology of the real number system, sequences, series, continuity, differentiation and integration.

    Schedule Of Classes

  • MATH 462 - Real Analysis II

    MATH 462 - Real Analysis II

    4.00 credit hours

    A continuation of the topics from MATH 461 including sequences and series of functions, Riemann and Lebesgue integration, elementary measure theory, and an introduction to basic concepts in functional analysis.

    Schedule Of Classes

Actuarial Science, B.S.

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

  • MATH 151 - Calculus I

    MATH 151 - Calculus I

    4.00 credit hours

    An exploration of the fundamental concepts of single-variable calculus including limits, continuity, differentiation and integration with applications.

    Schedule Of Classes

  • MATH 152 - Calculus II

    MATH 152 - Calculus II

    4.00 credit hours

    A continuation of single-variable calculus with emphasis on advanced integration techniques and applications, parametric equations, polar coordinates, and infinite series.

    Schedule Of Classes

  • MATH 253 - Calculus III

    MATH 253 - Calculus III

    4.00 credit hours

    A continuation of calculus with an emphasis on vectors, vector-valued and multiple-variable functions, partial derivatives, line and multiple integrals, vector analysis, Green's, divergence and Stokes' theorems.

    Schedule Of Classes

  • MATH 265 - The Theory of Interest

    MATH 265 - The Theory of Interest

    4.00 credit hours

    Topics in the mathematics of finance that are required for the FM (Financial Mathematics) Exam in actuarial science. Includes the study of Microsoft Excel macros.

    Schedule Of Classes

  • MATH 270 - Financial Mathematics

    MATH 270 - Financial Mathematics

    2.00 credit hours

    Advanced topics in financial mathematics including discounted cash flow analysis, asset management strategies, swaps, pricing, and amortizing bonds and annuities.

    Schedule Of Classes

  • MATH 300 - Linear Algebra

    MATH 300 - Linear Algebra

    4.00 credit hours

    Vector spaces, linear transformations, inner products, eigenvalues and eigenvectors, Gram-Schmidt process and orthogonal transformations. Students may not receive credit for MATH 300 and MATH 255.

    Schedule Of Classes

  • MATH 340 - Probability

    MATH 340 - Probability

    4.00 credit hours

    Basic laws of probability, discrete and continuous distributions of random variables, mathematical expectation, moment generating functions and transformations, random variables with multivariate probability distributions.

    Schedule Of Classes

  • MATH 350 - Data Analytics

    MATH 350 - Data Analytics

    4.00 credit hours

    An overview of the field of statistical learning. Survey of techniques for predictive analytics including model selection and validation methods, linear and non-linear models and supervised and unsupervised learning. Implementation of all techniques will employ appropriate software.

    Schedule Of Classes

  • MATH 370 - Probability for Risk Management

    MATH 370 - Probability for Risk Management

    2.00 credit hours

    Fundamental probabilistic tools for the quantitative assessment of risk.

    Schedule Of Classes

  • MATH 410 - Models for Financial Economics

    MATH 410 - Models for Financial Economics

    4.00 credit hours

    Theoretical basis of financial models and the application of those models to insurance and other financial risks.

    Schedule Of Classes

  • ACCT 201 - Financial Accounting

    ACCT 201 - Financial Accounting

    4.00 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

  • ECON 200 - Principles of Microeconomics

    ECON 200 - Principles of Microeconomics

    4.00 credit hours

    Introduction to the theory of consumer choice, social and individual welfare, the behavior of business firms and market structure, and other applied microeconomic topics.

    Schedule Of Classes

  • ECON 205 - Principles of Macroeconomics

    ECON 205 - Principles of Macroeconomics

    4.00 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, fiscal and monetary policies, distribution of income and economic crises.

    Schedule Of Classes

  • ECON 365 - Econometrics

    ECON 365 - Econometrics

    4.00 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.

    Schedule Of Classes

  • FINA 350 - Corporate Finance

    FINA 350 - Corporate Finance

    4.00 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.

    Schedule Of Classes

  • CSCE 160 - Introduction to Computer Programming

    CSCE 160 - Introduction to Computer Programming

    4.00 credit hours

    An introduction to computer science and programming, emphasizing the development of algorithms and problem solving skills using both procedural and object-oriented approaches. Topics include data types; I/O; arithmetic, relational and logical operators; control structures; functions; simple data structures; different computing environments such as the Linux operating system are also explored. Integrated laboratory.

    Schedule Of Classes

  • CSCE 210 - Data Structures

    CSCE 210 - Data Structures

    4.00 credit hours

    Elementary data structures and algorithms. Topics include the design, implementation, application and variations of the following: linked lists, stacks and queues, different types of trees, searching and sorting algorithms, graphs, and introduction to analysis of algorithms. Extensive programming required. Integrated laboratory.

    Schedule Of Classes

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

Mathematics Minor

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

A minimum of 24 credit hours, including:

  • MATH 151 - Calculus I

    MATH 151 - Calculus I

    4.00 credit hours

    An exploration of the fundamental concepts of single-variable calculus including limits, continuity, differentiation and integration with applications.

    Schedule Of Classes

  • MATH 152 - Calculus II

    MATH 152 - Calculus II

    4.00 credit hours

    A continuation of single-variable calculus with emphasis on advanced integration techniques and applications, parametric equations, polar coordinates, and infinite series.

    Schedule Of Classes

  • MATH 253 - Calculus III

    MATH 253 - Calculus III

    4.00 credit hours

    A continuation of calculus with an emphasis on vectors, vector-valued and multiple-variable functions, partial derivatives, line and multiple integrals, vector analysis, Green's, divergence and Stokes' theorems.

    Schedule Of Classes

Elective Options

One of the preapproved options listed below. The set of courses should be cohesive with respect to each other and should be based on the student's area of applied study. Other options may be available to students with departmental approval. The Mathematics Department must be consulted in the planning process.

Option A

  • MATH 265 - The Theory of Interest

    MATH 265 - The Theory of Interest

    4.00 credit hours

    Topics in the mathematics of finance that are required for the FM (Financial Mathematics) Exam in actuarial science. Includes the study of Microsoft Excel macros.

    Schedule Of Classes

  • MATH 340 - Probability

    MATH 340 - Probability

    4.00 credit hours

    Basic laws of probability, discrete and continuous distributions of random variables, mathematical expectation, moment generating functions and transformations, random variables with multivariate probability distributions.

    Schedule Of Classes

One of the following:

  • MATH 350 - Data Analytics

    MATH 350 - Data Analytics

    4.00 credit hours

    An overview of the field of statistical learning. Survey of techniques for predictive analytics including model selection and validation methods, linear and non-linear models and supervised and unsupervised learning. Implementation of all techniques will employ appropriate software.

    Schedule Of Classes

  • MATH 410 - Models for Financial Economics

    MATH 410 - Models for Financial Economics

    4.00 credit hours

    Theoretical basis of financial models and the application of those models to insurance and other financial risks.

    Schedule Of Classes

  • ECON 365 - Econometrics

    ECON 365 - Econometrics

    4.00 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.

    Schedule Of Classes

  • ECON 355 - Mathematical Economics

    ECON 355 - Mathematical Economics

    4.00 credit hours

    Focus on the application of mathematics to the theoretical aspects of economic analysis. Topics may include equilibrium analysis, comparative statics, optimization problems and dynamic analysis.

    Schedule Of Classes

Option B

  • MATH 255 - Linear Algebra and Differential Equation

    MATH 255 - Linear Algebra and Differential Equation

    4.00 credit hours

    First and second order differential equations, systems of differential equations, matrix and vector algebra, systems of linear equations, eigenvalues and eigenvectors. Students may not receive credit for both MATH 255 and either MATH 300 or MATH 315.

    Schedule Of Classes

One of the following:

  • MATH 260 - Introduction to Mathematical Statistics

    MATH 260 - Introduction to Mathematical Statistics

    4.00 credit hours

    This course provides a calculus-based introduction to probability and the beginning of statistical inference. Topics included: Descriptive statistics, elements of probability theory, random variables, central limit theorem, confidence intervals, hypothesis testing and simple linear regression.

    Schedule Of Classes

  • MATH 320 - Complex Variables

    MATH 320 - Complex Variables

    4.00 credit hours

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

    Schedule Of Classes

  • MATH 340 - Probability

    MATH 340 - Probability

    4.00 credit hours

    Basic laws of probability, discrete and continuous distributions of random variables, mathematical expectation, moment generating functions and transformations, random variables with multivariate probability distributions.

    Schedule Of Classes

  • MATH 350 - Data Analytics

    MATH 350 - Data Analytics

    4.00 credit hours

    An overview of the field of statistical learning. Survey of techniques for predictive analytics including model selection and validation methods, linear and non-linear models and supervised and unsupervised learning. Implementation of all techniques will employ appropriate software.

    Schedule Of Classes

One of the following:

  • ECON 355 - Mathematical Economics

    ECON 355 - Mathematical Economics

    4.00 credit hours

    Focus on the application of mathematics to the theoretical aspects of economic analysis. Topics may include equilibrium analysis, comparative statics, optimization problems and dynamic analysis.

    Schedule Of Classes

  • ECON 365 - Econometrics

    ECON 365 - Econometrics

    4.00 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.

    Schedule Of Classes

  • PHYS 440 - Quantum Mechanics

    PHYS 440 - Quantum Mechanics

    4.00 credit hours

    The physical interpretation and mathematical formalism of quantum mechanics. Schrodinger equation, one-dimensional and three-dimensional potentials, angular momentum, the hydrogen atom, operator methods, matrix mechanics, Dirac notation and approximation methods.

    Schedule Of Classes

Option C

  • MATH 300 - Linear Algebra

    MATH 300 - Linear Algebra

    4.00 credit hours

    Vector spaces, linear transformations, inner products, eigenvalues and eigenvectors, Gram-Schmidt process and orthogonal transformations. Students may not receive credit for MATH 300 and MATH 255.

    Schedule Of Classes

One of the following:

  • MATH 260 - Introduction to Mathematical Statistics

    MATH 260 - Introduction to Mathematical Statistics

    4.00 credit hours

    This course provides a calculus-based introduction to probability and the beginning of statistical inference. Topics included: Descriptive statistics, elements of probability theory, random variables, central limit theorem, confidence intervals, hypothesis testing and simple linear regression.

    Schedule Of Classes

  • MATH 320 - Complex Variables

    MATH 320 - Complex Variables

    4.00 credit hours

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

    Schedule Of Classes

  • MATH 340 - Probability

    MATH 340 - Probability

    4.00 credit hours

    Basic laws of probability, discrete and continuous distributions of random variables, mathematical expectation, moment generating functions and transformations, random variables with multivariate probability distributions.

    Schedule Of Classes

  • MATH 350 - Data Analytics

    MATH 350 - Data Analytics

    4.00 credit hours

    An overview of the field of statistical learning. Survey of techniques for predictive analytics including model selection and validation methods, linear and non-linear models and supervised and unsupervised learning. Implementation of all techniques will employ appropriate software.

    Schedule Of Classes

One of the following:

  • ECON 355 - Mathematical Economics

    ECON 355 - Mathematical Economics

    4.00 credit hours

    Focus on the application of mathematics to the theoretical aspects of economic analysis. Topics may include equilibrium analysis, comparative statics, optimization problems and dynamic analysis.

    Schedule Of Classes

  • ECON 365 - Econometrics

    ECON 365 - Econometrics

    4.00 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.

    Schedule Of Classes

  • PHYS 440 - Quantum Mechanics

    PHYS 440 - Quantum Mechanics

    4.00 credit hours

    The physical interpretation and mathematical formalism of quantum mechanics. Schrodinger equation, one-dimensional and three-dimensional potentials, angular momentum, the hydrogen atom, operator methods, matrix mechanics, Dirac notation and approximation methods.

    Schedule Of Classes

Option D

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.

Mathematics and Actuarial Science

Courses below calculus may not be taken for credit once calculus has been successfully completed.

MATH 106 - Mathematics for Elementary Education I

2.00 credit hours - 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): Elementary Education major and placement; Three years of math including algebra and geometry recommended.

MATH 107 - Mathematics for Elementary Education II

2.00 credit hours - 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, fractions, and number theory. Emphasis on problem solving techniques.

Prerequisite(s): Elementary Education major; Minimum grade of C- in MATH 106 or placement.

MATH 108 - Elementary Mathematics III

4.00 credit hours - Continuation of MATH 107 to include Euclidean and transformational geometry, measurement and the metric system, integers, rational numbers, real numbers, decimals, percent, proportions, probability and applied statistics. Emphasis on problem solving.

Prerequisite(s): Elementary Education major and minimum grade of C- in MATH 107.
Cardinal Directions Designation(s): Quantitative Analysis.

MATH 120 - Mathematics for the Liberal Arts

4.00 credit hours - A course designed for students in the liberal arts disciplines whose major does not require specific mathematical skills. The course focuses on mathematical reasoning and applications by exploring the mathematics inherent in the world around us.

Prerequisite(s): Placement; Two years of math recommended.
Cardinal Directions Designation(s): Quantitative Analysis.

MATH 130 - Finite Mathematics

4.00 credit hours - 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): Placement; Two years of algebra recommended.
Cardinal Directions Designation(s): Quantitative Analysis.

MATH 140 - Precalculus

4.00 credit hours - A review of the major topics from algebra necessary for the study of calculus (including polynomial, rational, exponential, and logarithmic functions), an investigation of trigonometric functions, and a brief introduction to differentiation and anti-differentiation.

Prerequisite(s): Placement; Three years of math including algebra and geometry recommended.

MATH 151 - Calculus I

4.00 credit hours - An exploration of the fundamental concepts of single-variable calculus including limits, continuity, differentiation and integration with applications.

Prerequisite(s): Minimum grade of C- in MATH 140 or placement; Four years of math including algebra, geometry and trigonometry recommended.
Cardinal Directions Designation(s): Quantitative Analysis.

MATH 152 - Calculus II

4.00 credit hours - A continuation of single-variable calculus with emphasis on advanced integration techniques and applications, parametric equations, polar coordinates, and infinite series.

Prerequisite(s): Minimum grade of C- in MATH 151.
Cardinal Directions Designation(s): Quantitative Analysis.

MATH 253 - Calculus III

4.00 credit hours - A continuation of calculus with an emphasis on vectors, vector-valued and multiple-variable functions, partial derivatives, line and multiple integrals, vector analysis, Green’s, divergence and Stokes’ theorems.

Prerequisite(s): Minimum grade of C- in MATH 152.
Cardinal Directions Designation(s): Quantitative Analysis.

MATH 255 - Linear Algebra and Differential Equation

4.00 credit hours - First and second order differential equations, systems of differential equations, matrix and vector algebra, systems of linear equations, eigenvalues and eigenvectors. Students may not receive credit for both MATH 255 and either MATH 300 or MATH 315.

Prerequisite(s): MATH 253.

MATH 260 - Introduction to Mathematical Statistics

4.00 credit hours - This course provides a calculus-based introduction to probability and the beginning of statistical inference. Topics included: Descriptive statistics, elements of probability theory, random variables, central limit theorem, confidence intervals, hypothesis testing and simple linear regression.

Prerequisite(s): MATH 152.

MATH 265 - The Theory of Interest

4.00 credit hours - Topics in the mathematics of finance that are required for the FM (Financial Mathematics) Exam in actuarial science. Includes the study of Microsoft Excel macros.

Prerequisite(s): MATH 152.

MATH 270 - Financial Mathematics

2.00 credit hours - Advanced topics in financial mathematics including discounted cash flow analysis, asset management strategies, swaps,pricing, and amortizing bonds and annuities.

Prerequisite(s): Concurrent enrollment in MATH 265.

MATH 280 - The Nature of Proof in Mathematics

4.00 credit hours - A study of the nature of proof in mathematics. Specific proof techniques are taught within the context of number theory, set theory, functions, and cardinality.

Prerequisite(s): MATH 152.

MATH 297 - Internship

0.00-12.00 credit hours

MATH 299 - Independent Study

1.00-12.00 credit hours

MATH 300 - Linear Algebra

4.00 credit hours - Vector spaces, linear transformations, inner products, eigenvalues and eigenvectors, Gram-Schmidt process and orthogonal transformations. Students may not receive credit for MATH 300 and MATH 255.

Prerequisite(s): MATH 253; MATH 280 recommended.

MATH 305 - College Geometry

4.00 credit hours - Euclidean and non-Euclidean geometry in two and three dimensions via the axiomatic approach. Other topics include transformations, isometries and symmetries of the plane.

Prerequisite(s): MATH 280.

MATH 310 - History of Mathematics

4.00 credit hours - An examination of the historical origins of important mathematical concepts leading up to the calculus. Emphasis on the methodologies and motivations of those involved in the creative process. Students will complete several projects to illustrate key concepts from the course.

Prerequisite(s): MATH 152.

MATH 315 - Ordinary Differential Equations

4.00 credit hours - First and second order differential equations; algebraic, numerical and graphical solutions; series solutions; Laplace transforms; applications. Students may not receive credit for MATH 315 and MATH 255.

Prerequisite(s): MATH 253; MATH 300 recommended.

MATH 320 - Complex Variables

4.00 credit hours - Algebra of the complex numbers, geometry and transformations of the complex plane, analytic functions, Cauchy theory of integration, power series and residue theory.

Prerequisite(s): MATH 253.

MATH 340 - Probability

4.00 credit hours - Basic laws of probability, discrete and continuous distributions of random variables, mathematical expectation, moment generating functions and transformations, random variables with multivariate probability distributions.

Prerequisite(s): MATH 253.

MATH 350 - Data Analytics

4.00 credit hours - An overview of the field of statistical learning. Survey of techniques for predictive analytics including model selection and validation methods, linear and non-linear models and supervised and unsupervised learning. Implementation of all techniques will employ appropriate software.

Prerequisite(s): MATH 260 or MATH 340; CSCE 210.

MATH 370 - Probability for Risk Management

2.00 credit hours - Fundamental probabilistic tools for the quantitative assessment of risk.

Prerequisite(s): Concurrent enrollment in MATH 340.

MATH 390 - Research Methods

2.00 credit hours - An intensive seminar intended to introduce research methods in mathematics, develop processes for approaching and solving non-routine problems, and exploring advanced written and oral presentation of solutions.

Prerequisite(s): MATH 253 and MATH 280.
Cardinal Directions Designation(s): Writing Intensive.

MATH 397 - Internship

0.00-12.00 credit hours

MATH 399 - Independent Study

1.00-12.00 credit hours

MATH 410 - Models for Financial Economics

4.00 credit hours - Theoretical basis of financial models and the application of those models to insurance and other financial risks.

Prerequisite(s): MATH 265 and MATH 340.

MATH 421 - Abstract Algebra I

4.00 credit hours - Introduction to the theory of rings, fields and groups. Topics include modular arithmetic, polynomial rings, factorization and tests for irreducibility, ideals, quotient rings, morphisms and subgroups.

Prerequisite(s): MATH 280 and MATH 300.

MATH 422 - Abstract Algebra II

4.00 credit hours - Advanced theory of rings, fields and groups, including symmetric and alternating groups, structure theorems for finite abelian groups, vector spaces, extension fields, finite fields and Galois theory.

Prerequisite(s): MATH 421.

MATH 461 - Real Analysis I

4.00 credit hours - A study of sets, functions, properties and elementary topology of the real number system, sequences, series, continuity, differentiation and integration.

Prerequisite(s): MATH 280 and MATH 300.

MATH 462 - Real Analysis II

4.00 credit hours - A continuation of the topics from MATH 461 including sequences and series of functions, Riemann and Lebesgue integration, elementary measure theory, and an introduction to basic concepts in functional analysis.

Prerequisite(s): MATH 461.

MATH 470 - Topology

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

Prerequisite(s):  MATH 280, MATH 300.

MATH 490 - Seminar in Advanced Mathematics

2.00 credit hours - A critical evaluation, including modern-day and historical applications, of advanced topics not included in other mathematics courses. Emphasis is placed on reflecting upon and further developing each student’s philosophical view of mathematics as a discipline.

Prerequisite(s): MATH 421 or MATH 461.
Cardinal Directions Designation(s): Writing Intensive.

MATH 497 - Internship

0.00-12.00 credit hours

MATH 499 - Independent Study

1.00-12.00 credit hours

 

Faculty Emeriti

Linda Qinglin Gao
Professor of Mathematics
lqgao@noctrl.onmicrosoft.com

Donald E. Johnson
Professor of Mathematics and Computer Science
dejohnson@noctrl.edu

R. Devadoss Pandian
Professor of Mathematics and Dean of Faculty
rdpandian@noctrl.edu

Richard J. Wilders
Marie and Bernice Gantzert Professor in the Liberal Arts and Sciences Emeritus
rjwilders@noctrl.edu

Shirley Anne Wilson
Professor of Mathematics
sawilson@noctrl.edu

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