Program Overview:

Undergraduate Mathematics Major

Mathematics plays a central role in modern society. It has long been an important tool in science and engineering, and is used increasingly in varied and sophisticated ways in the social sciences, the humanities and business. With expanding applications, many areas of mathematics from pure to applied have grown tremendously.

The mathematics major provides a solid foundation in several core branches of mathematics, including calculus, linear algebra, and algebra, and supports the development of analytical, problem-solving, communication and research skills. Students majoring in mathematics learn about its diverse applications and acquire an understanding of both the foundations and the frontiers of the discipline, while developing quantitative skills and analytical abilities that are an asset across many careers and fields.

Program Goals

Graduates will be prepared to:

  • Demonstrate proficiency with fundamental subjects in mathematics such as calculus, linear algebra, differential equations, and probability theory
  • Apply critical thinking in the construction of mathematical proofs and models
  • Demonstrate problem-solving skills and techniques
  • Understand connections between various areas of mathematics
  • Effectively communicate mathematical ideas
  • Recognize applications and relevance of mathematical ideas to other areas of science and the workplace

Degrees

Distribution Requirements

Mathematics Major Requirements

  • MATH  220  Differential Calculus of One-Variable Functions

    This course covers definition of a function; trigonometric, exponential, logarithmic and inverse functions; graphs, limits, continuity; derivative of a function; product, quotient and chain rule; implicit differentiation; linear approximation and differentials; related rates; mean value theorems; curve plotting; optimization problems; Newton's method; and antiderivatives.


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  • MATH  224  Integral Calculus of One-Variable Functions

    This course is focused on definite integrals and the fundamental theorem of calculus. Techniques of integration including integration by parts, trigonometric integrals, trigonometric substitutions, partial fractions, numerical integration, and improper integrals are covered. Topics also include: applications of integration (computation of volumes, arc length, average value of functions, the mean value theorem for integration, work and probability), sequences and series (the integral and comparison tests, power series, ratio test, introduction to Taylor's formula and Taylor series, using series to solve differential equations).


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  • MATH  230  Differential Calculus of Multivariable Functions

    This course will extend the methods of single-variable calculus to functions of many variables; it will develop techniques to obtain local linear approximations of functions (of multiple variables) in order to analyze and optimize quantities. Specific topics include: vectors, dot and cross products, equations of lines and planes, polar, cylindrical and spherical coordinates, differentiation of vector functions, velocity and acceleration, arc length, parametric surfaces, functions of several variables, partial derivatives, tangent plane and linear approximations, chain rule for partial derivatives, directional derivative and gradient, max-min problems for functions of several variables, Lagrange multipliers.


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  • MATH  234  Multiple Integration and Vector Calculus

    This course covers cylindrical and spherical coordinate systems, double and triple integrals, line and surface integrals. Additional topics include: change of variables in multiple integrals; gradient, divergence, and curl; Theorems of Green, Gauss, and Stokes.


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  • MATH  240  Linear Algebra

    Linear algebra is the study of lines, planes, and other objects which can be described using linear equations. The key objects of studies are so-called matrices, which provide convenient ways of encoding a large amount of data. Despite its seemingly humble beginnings, linear algebra has arisen to become one of the most important and applicable fields of mathematics, due essentially to the fact that a wide variety of phenomena in other subjects can be characterized in terms of matrices and their properties. We will focus on these properties, introducing many applications along the way which showcase their power.


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  • 7 300-level mathematics courses   

Electives