Solve practical problems with mathematical modeling and high-level statistical analysis. Solve practical problems with mathematical modeling and high-level statistical analysis. Solve practical problems with mathematical modeling and high-level statistical analysis. Solve practical problems with mathematical modeling and high-level statistical analysis. Solve practical problems with mathematical modeling and high-level statistical analysis.

Department of Mathematics

Applied Mathematics

Questions?

Undergraduate Admissions

(630) 637-5800

admissions@noctrl.edu

Why pursue an applied mathematics degree at North Central College?

Applied mathematicians use techniques like mathematical modeling to solve practical problems. This major will prepare you for careers in the sciences, business, economics, finance and insurance—careers that require high-level statistical analysis and computation to solve problems, make decisions, and conduct research and analysis. Mathematical modeling can be used to predict transmission rates of diseases, streamline manufacturing, and project passenger demand to produce flight schedules for airlines. North Central’s mathematics professors develop strong relationships with their students and foster an open and encouraging learning environment throughout the department.

You can also:

  • Combine majors and elective courses across various academic fields.
  • Conduct research with your professors as early as your first year on campus.
  • Attend local, regional and national professional conferences.
  • Gain more experience by interning in the Naperville area and Chicago.
  • Obtain extra help from a peer tutor—or become one yourself. 
  • Join the mathematics honor society Pi Mu Epsilon.

More Department information

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 
     

 

Applied Mathematics Internships and Jobs

A North Central education integrates career preparation with rich academic study. Our faculty encourages you to refine and apply your knowledge in an interconnected world. Here you'll learn to think independently and work globally to solve problems and lead.

Graduate Schools

Recent graduates were accepted at:

  • Valparaiso University
  • Purdue University
  • University of Iowa
  • University of Arizona
  • Pennsylvania State University
  • University of Missouri

Careers

Recent graduates in applied mathematics have pursued careers in:

  • Bioinformatics
  • Data mining
  • Materials science
  • Computer animation and digital imaging
  • Finance and economics
  • Climatology
  • Statistician

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