# Mathematics (MATH)

**MATH 099Basic Math Tutorial0.0 SH[ ]**

A two-hour-per-week, non-credit guided tutorial for students needing review of arithmetic.

**MATH 110Mathematical Applications3.0 SH<GEM>[GEQR]**

Applications of elementary mathematics in the fields of management, social sciences, information sciences, statistics, physical and life sciences, and economics. Mathematical topics may include graph theory, linear programming, statistics, probability, voting systems, fair division, game theory, apportionment methods, coding methods, cryptography, logic, problems of scale, symmetry, patterns, tilings, exponential models and other growth models in finance, business, and biology, and astronomical models. **Prerequisite: ** Level 2 or higher on the Quantitative Reasoning Test. Success in this course depends upon students having completed a high school second-year algebra course and a high school geometry course with a grade of C or above.**Class Level Restriction:** Freshman and Sophomore only.

**MATH 111A Survey of Mathematics3.0 SH<GEM>[GEQR]**

A conceptual and historical overview of mathematics. A survey of selected topics such as: what mathematics is; numeration; elementary number theory; math and music; geometry and art; loans and payment plans; numbers, equations, and graphs; counting and probability; statistics; and geometric modeling. Intended for non-science majors. **Prerequisite: ** Level 2 or higher on the Quantitative Reasoning Test. Success in this course depends upon students having completed a high school second-year algebra course and a high school geometry course with a grade of C or above.**Class Level Restriction:** Freshman and Sophomore only.

**MATH 140Trigonometry3.0 SH<GEM>[ ]**

Geometry review, angle measures, trigonometric functions - properties and graphs, trigonometric identities, inverse functions, trigonometric equations, solving general triangles. Possible additional topics: polar coordinates, spherical trigonometry, and hyperbolic trigonometry. **Prerequisite: ** High School Geometry and Intermediate Algebra. Success in this course depends upon students having completed a high school second-year algebra course and a high school geometry course with a grade of C or above.

**MATH 141College Algebra3.0 SH<GEM>[ ]**

Topics include the theory of solving polynomial equations; solving simultaneous linear equations; graphs and properties of polynomial functions, rational functions, exponential functions, logarithmic functions, and conic sections; and, mathematical induction and the general binomial expansion. **Prerequisite: ** High School Algebra II (sometimes called Intermediate Algebra). Success in this course depends upon students having completed a high school second-year algebra course and a high school geometry course with a grade of C or above.

**MATH 143Precalculus4.0 SH<GEM>[ ]**

Investigates properties of functions, techniques for solving equations and inequalities and graphing. Emphasizes polynomial, rational, algebraic, exponential, logarithmic, and circular functions as well as conic sections. **Prerequisite: ** MATH 110, MATH 111, or Level 4 on the Quantitative Reasoning Test. Success in this course depends upon students having completed a high school second-year algebra course and a high school geometry course with a grade of C or above.**Class Level Restriction:** Freshman and Sophomore only.

**MATH 164Introduction to Statistics3.0 SH<GEM>[GEQR]**

Descriptive statistics including measures of central tendency, measures of dispersion, correlation and regression; basic concepts of probability; inferential statistics including estimation and hypothesis testing. Applications in biological and social sciences. **Prerequisite: ** MATH 110, MATH 111, or Level 2 on the Quantitative Reasoning Test. Success in this course depends upon students having completed a high school second-year algebra course and a high school geometry course with a grade of C or above. (A student may receive credit for only one of the courses MATH 164 or BNR 215.).

**MATH 181Calculus I5.0 SH<GEM>[ ]**

First semester of single-variable calculus. Includes a review of properties of elementary functions, limits, derivatives, applications of derivatives, continuity, the definite integral, basic antiderivative formulas, the Mean Value Theorem, and the Fundamental Theorem of Calculus. **Prerequisite: ** MATH 143.**Class Level Restriction:** Freshman and Sophomore only.

**MATH 182Calculus II5.0 SH<GEM>[ ]**

Second semester of single-variable calculus. Includes a review of Calculus I, techniques of integration, applications of the definite integral, an introduction to differential equations, parametric equations, polar coordinates, and the theory of infinite sequences and series, including tests for convergence and Taylor Series. **Prerequisite: ** MATH 181.**Class Level Restriction:** Freshman and Sophomore only.

**MATH 211History of Mathematics2.0 SH[ ]**

A concise history of mathematics. Includes topics from mathematics in early civilizations, Greek mathematics from classical, first Alexandrian, and second Alexandrian periods, Hindu and Arabic contributions, European Renaissance, the calculus controversy, non-Euclidean geometry, the rise of analysis, Gödel's Incompleteness Theorem, and the loss of certainty. **Prerequisite: ** MATH 181 or taken concurrently.

**MATH 220Mathematical Proofs2.0 SH[ ]**

Investigates the nature and structure of mathematical proofs found in calculus, algebra, and geometry. Includes set theoretic foundations, the rules of propositional logic, the principle of mathematical induction, and the nature of deductive reasoning. Analyzes various proofs from geometry, algebra, and calculus as well as provides students with practice in constructing such proofs. **Prerequisite: ** MATH 182.

**MATH 261Discrete Math3.0 SH<GEM>[ ]**

Nature of proof, sets, graph theory, logic, Boolean algebra, functions and relations. **Prerequisite: ** MATH 143.

**MATH 273Linear Algebra3.0 SH[ ]**

Vector spaces, vector and matrix operations, determinants, linear transformations, systems of linear equations, change of basis, eigenvalues. **Prerequisite: ** MATH 181.

**MATH 283Multivariable Calculus4.0 SH[ ]**

Includes vector algebra and coordinate geometry in two and three dimensions, partial differentiation, directional derivatives, slope fields, multiple integration and applications, line and surface integrals, Lagrange multipliers, vector calculus including Green's, Divergence, and Stokes' theorems. **Prerequisite: ** MATH 182.

**MATH 304Synthetic Geometry3.0 SH[ ]**

An axiomatic development of Euclidean geometry using Hilbert's axioms; hyperbolic geometry and its models; a comparison of Euclidean, spherical, and hyperbolic trigonometries; may include an introduction to projective geometry. **Prerequisite: ** MATH 273.**Class Level Restriction:** Junior and Senior only.

**MATH 320Elementary Number Theory3.0 SH[ ]**

Divisibility theory of integers, primes and their distribution, theory of congruences, Fermat's "Little Theorem," Euler's phi function, quadratic reciprocity, perfect numbers and Mersenne primes, Fermat's "Last Theorem." **Prerequisite: ** MATH 220.**Class Level Restriction:** Junior and Senior only.

**MATH 355Applied Advanced Calculus3.0 SH[ ]**

Introduction to vector analysis: vector differential calculus, integral theorems, curvilinear coordinates. Fourier analysis: Fourier series and integrals, orthogonal functions, applications in boundary value problems. Offered every other year. **Prerequisite: ** MATH 283.**Class Level Restriction:** Junior and Senior only.

**MATH 360Numerical Analysis3.0 SH[ ]**

Theory and techniques for obtaining numerical solutions. Numerical methods are implemented by using computers. Topics include root-finding, interpolation, approximation of functions, numerical integration, differential and difference equation, applications in linear algebra, and error analysis. Offered every other year. **Prerequisite: ** MATH 273 and MATH 283.**Class Level Restriction:** Junior and Senior only.

**MATH 364Mathematical Statistics3.0 SH[ ]**

Probability, random variables, probability distributions, mathematical expectation, moments, moment generating functions, sampling distributions, Central Limit Theorem, estimation and hypothesis testing, correlation, curvilinear and multiple regression. **Prerequisite: ** MATH 283.**Class Level Restriction:** Junior and Senior only.

**MATH 374Algebraic Structures3.0 SH[ ]**

Group theory, Boolean algebra, rings, integral domains and fields. Offered every other year. **Prerequisite: ** MATH 273.**Class Level Restriction:** Junior and Senior only.

**MATH 380Differential Equations3.0 SH[ ]**

Linear differential equations, Laplace transform methods, series solutions, numerical solutions, introduction to partial differential equation, applications. Offered every other year. **Prerequisite: ** MATH 182.**Class Level Restriction:** Junior and Senior only.

**MATH 415Senior Capstone3.0 SH[ ]**

Synthesizes and extends material from courses in the major using topics such as integration, linearity, optimization, periodicity, and expansions. Open only to mathematics majors.**Class Level Restriction:** Senior only.

**MATH 421Math Seminar1.0 SH[ ]**

A seminar in selected topics in mathematics. The contents will vary, and the title will be extended to describe the current topic. May be taken more than once provided the topics differ.**Class Level Restriction:** Junior and Senior only.

**MATH 431Complex Variables3.0 SH[ ]**

Analytical functions, Cauchy's theorem, Taylor and Laurent series, residues, contour integration, integral transforms, conformal mapping. **Prerequisite: ** MATH 283.**Class Level Restriction:** Junior and Senior only.

**MATH 432Real Analysis3.0 SH[ ]**

Formal development of the concepts of real analysis. Includes limits and continuity, sequence and series, uniform convergence, Riemann integral. **Prerequisite: ** MATH 283.**Class Level Restriction:** Junior and Senior only.