# 200

## MATH 201 Concepts of Foundational Mathematics: A Problem Solving Approach

The course explores the foundational concepts of modern mathematics. A problem solving approach is incorporated to discover fundamental structure and meaning associated with central content themes of Number Systems, Functions/Patterns, Statistics/Probability, Geometry, and Measurement. Prerequisite: Sophomore standing

3

## MATH 210 Mathematical Structures and Proof

Careful study of the concepts and techniques often used in mathematics courses at the advanced undergraduate level. Topics include logic, set theory, proof techniques, elementary number theory, mathematical induction, functions, and relations. Additional topics from abstract algebra, combinatorics, or countable vs. uncountable sets as time permits.

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### Prerequisites

MATH 121 or MATH 123

## MATH 223 University Calculus III

Parametric equations, polar, cylindrical, and spherical coordinates, algebra of vectors, equations of lines, planes, quadratic surfaces, vector functions and space curves, calculus of functions of several variables including multiple integration; applications to the physical sciences and geometry; computational technology.

4

MATH 123

## MATH 224 Differential Equations

Introductory course with emphasis on methods of solution of differential equations and applications. Topics include: first order differential equations, higher order linear differential equations, method of undetermined coefficients, method of variation of parameters, systems of first order linear differential equations, qualitative and numerical analyses of solutions, and power series solutions and Laplace transforms as time permits.

3

MATH 123

## MATH 231 Linear Algebra

Careful study of matrices, systems of linear equations, determinants, linear transformations, with emphasis on similarities and isometries of the plane, vector spaces, eigenvalues and eigenvectors; other topics as time permits. Completion of, or concurrent enrollment in MATH 210 is recommended.

4

### Prerequisites

MATH 121 or MATH 123

## MATH 290 Sophomore Honors Mathematics

Mathematics majors who excel in calculus and/or discrete mathematics may be invited to join the Honors Program in Mathematics. MATH 290 is the first course in the Honors Program. It looks at advanced topics from calculus, discrete mathematics, and linear algebra, with emphasis on reading and writing mathematical proofs.

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MATH 210

MATH 231