# Course Descriptions

## Bachelor of Arts and Bachelor of Science in Mathematics

For a full list of all courses offered by the Department of Mathematics, visit the course catalogue.This course covers elementary probability theory, techniques of statistical inference including sampling theory, estimation procedures, and hypothesis testing. It can be used to satisfy the core requirement in mathematics for students in certain major programs, as well as enhance those programs with a strong mathematics component.

**Prerequisite:** Placement at college level according to UIW math placement policy or completion of MATH 0318.

This is a three-hour course, which includes functions, limits, derivatives, indeterminate forms, and integrals, exponential and logarithmic functions; inverse trigonometric functions, and applications.

**Prerequisite: ** MATH 1311

This course includes techniques of integration, applications of integration, improper integrals, infinite series and calculus using polar and parametric curves.

**Prerequisite:** MATH 2312

This course covers various methods to solve linear and nonlinear differential equations and applications of differential equations to a variety of scientific disciplines.

**Prerequisite:** MATH 2313

This course covers vector spaces, linear transformations and matrices.

**Prerequisite:** MATH 1304 or MATH 1311 or MATH 2312 or MATH 2313 or MATH 2314

This three-hour course covers probability, fundamentals of statistics, functions of random variables, discrete and continuous distribution, moments and moment-generating functions. It is part one of a two-course sequence with MATH 3332: Foundations of Statistical Inference.

**Prerequisite:** MATH 2312

This is an introductory course in C programming for mathematics, sciences and engineering majors. Topics include: data types, and related operations, floating errors, input/output, control structures, functions, arrays, data structure, files and strings processing. Program design, debugging techniques and good programming practices will also be discussed. Programming exercises and projects will emphasize problems and applications in mathematics, sciences and engineering fields.

**Prerequisite:** MATH 2313

This course covers vectors, differential calculus of functions of several variables, multiple integrals, and applications.

**Prerequisite:** MATH 2313

This course is a rigorous development of ideas prerequisite to the study of abstract mathematics with emphasis on learning mathematical fundamentals and the techniques of proof while proving some basic theorems involving logic, set theory, relations, and functions.

**Prerequisite:** MATH 2313

This course introduces groups, rings, and fields. Algebraic ideas are developed in parallel with the considerations of congruence and congruence classes, which normally arise in elementary number theory. It includes applications to the theory of equations.

**Prerequisite:** MATH 3320

This course will serve as an overview of mathematical topics relevant to the teacher of secondary mathematics. A problem-solving and technologically-based approach to areas including geometry, trigonometry, logic, and the theory of equations will be used.

**Prerequisite:** MATH 3320 or permission of the instructor

This course introduces students to fundamental concepts of real analysis, starting with the axioms and properties of the real number system. Students will also be introduced to the rigorous foundation of selected calculus concepts such as limits, continuity, differentiability and integrability.

**Prerequisite:** MATH 3320