Applied Mathematics
Why pursue an applied mathematics degree at North Central College?
Applied mathematicians use techniques like mathematical modeling and computational mathematics to solve practical problems found in today's modern world. 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 operations 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 mathematics department.
You can also:
- Combine majors and elective core courses across various academic fields.
- Conduct undergraduate research in higher mathematics with your professors as early as your first year on campus.
- Attend local, regional and national professional conferences.
- Gain more experience as an applied mathematician by interning in the Naperville area and Chicago.
- Obtain extra help from a peer tutor-or become one yourself.
- Join the higher mathematics honor society Pi Mu Epsilon.
- Build on your degree with an applied mathematics concentration.
Applied Mathematics, B.S.
For additional programs and courses in this department, see Mathematics and Actuarial Science.
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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.
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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.
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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.
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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.
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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.
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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
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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
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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.
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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.
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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.
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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.
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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.
- 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.
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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.
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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.
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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.
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MATH 462 - Real Analysis II
MATH 462 - Real Analysis II
4.00 credit hours
A continuation of the topics from
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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 in applied mathematics have been accepted at:
- University of Missouri
- University of Arizona
Internships
- Financial analyst
- Employee benefits and property and casualty consultant
Careers
Recent graduates in applied mathematics have found careers in:
- Bioinformatics
- Data mining
- Materials science
- Computer animation and digital imaging
- Finance and economics
- Climatology
- Engineering
- Statistics
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