UAM School of Mathematical and Natural Sciences

Mathematics  >>> Courses

Notes:

MATH 0143, Introduction to Algebra
3 credits: 3 hours lecture

A review of basic arithmetic operations and algebraic operations. Topics covered include the arithmetic of fractions and decimals, algebraic manipulations of polynomials, linear equations, and factoring. This course cannot be used to satisfy General Education requirements or for credit toward a Mathematics major or minor.

MATH 0183, Intermediate Algebra
3 credits: 3 hours lecture

Prerequisite: Math 0143 or adequate performance on a placement test.

This course is designed to prepare students to take a college level mathematics course. Topics covered will include factoring, exponents, solution of linear and quadratic equations, arithmetic of rational expressions, basic algebraic applications, and graphing. This course cannot be used to satisfy General Education requirements or for credit toward a Mathematics major or minor.

MATH 1003 Survey of Mathematics
3 credits: 3 hours lecture

Prerequisite: MATH 0183 or satisfactory performance on a placement test.
NOTE: This course cannot be used for credit toward a Mathematics major or minor.

Techniques of problem solving, topics from set theory, number theory, logic, and probability and statistics.

MATH 1033 Trigonometry
3 credits: 3 hours lecture

Corequisite: MATH 1043

Definition of the trigonometric functions, solution of right and oblique triangles, trigonometric equations, and identities.

MATH 1043 College Algebra
3 credits: 3 hours lecture

Prerequisite: MATH 0183 or satisfactory performance on a placement test.

Functions, graphs, quadratic equations, systems of equations, applications of algebra, and matrices.

MATH 1073 Compact Calculus
3 credits: 3 hours lecture

Prerequisite: MATH 1175, or MATH 1043 and MATH 1033
NOTE: For those not planning to take MATH 2255. This course cannot be used for credit toward a Mathematics major or minor.

Limits, continuous functions, the derivative and integral with applications.

MATH 1175 Precalculus
5 credits: 5 hours lecture

Prerequisite: A score of 22 or higher on the Math ACT or MATH 0183 with a grade of B or higher.

Provides the necessary background for students planning to take Calculus I or Compact Calculus. Topics include: problem solving; polynomial, rational, exponential, logarithmic, and trigonometric functions; parametric equations; and, as time permits, linear systems. Preferred prerequisite for students planning to take calculus. Offered: Fall.

MATH 2255 Calculus I
5 credits: 5 hours lecture

Prerequisites: MATH 1175; or MATH 1033 and 1043

Limits, derivatives, applications, integrals and applications of both integrals and limits.

MATH 3233 History of Mathematics
3 credits: 3 hours lecture

Prerequisite: MATH 2255

The history of mathematics as concerned with the origins, philosophy, and development of the mathematical sciences. The chronological development of mathematics from its use in primitive cultures to the present day. Spring offering in odd-numbered years.

MATH 3403 Probability and Statistics
3 credits: 3 hours lecture

Prerequisite: MATH 2255

Finite sample spaces, counting techniques, distributions, measures of variability, sampling theory, curve fitting, and regression analysis. Fall offering in odd-numbered years.

MATH 3413 Number Theory
3 credits: 3 hours lecture

Prerequisite: MATH 2255

Basic properties of number system, congruences, divisibility, and prime numbers. Offered: Fall, even-numbered years.

MATH 3423 College Geometry
3 credits: 3 hours lecture

Prerequisite: MATH 2255

Logic and Euclidean geometry. Required of all prospective secondary mathematics teachers. Fall offering in even-numbered years.

MATH 3453 Abstract Algebra
3 credits: 3 hours lecture

Prerequisite: MATH 2255

An introduction to the study of algebraic structures including groups, rings, and fields. Offered: Spring, even-numbered years.

MATH 3463 Linear Algebra
3 credits: 3 hours lecture

Prerequisite: MATH 2255

The algebra of finite dimensional vector spaces, linear transformations, eigenvalues, and eigenvectors. Spring offering in odd-numbered years.

MATH 3483 Mathematical Modeling
3 credits: 3 hours lecture

Prerequisites: MATH 3495 and a programming course

A study of selected topics which demonstrate the interaction of mathematics with real-world problems.

MATH 3495 Calculus II
5 credits: 5 hours lecture

Prerequisite: MATH 2255

Sequences and series, vector analysis, and partial derivatives.

MATH 3513 Discrete Mathematics
3 credits: 3 hours lecture

Prerequisites: MATH 2255; CS 2213 or CS 2253

Algorithms, elements of graph theory, Boolean algebra, and combinations.

MATH 3525 Diff. Equations and Multi-Dim Calculus
5 credits: 5 hours lecture

Prerequisite: MATH 3495

Multiple integrals, first order differential equations, and systems of differential equations.

MATH 3553 Number Systems
3 credits: 3 hours lecture

Prerequisites: MATH 1003, MATH 1043
NOTE: This course may not be used to satisfy General Education requirements or for credit toward a Mathematics major or minor.

Systems of numeration, development of the real number system, analysis and development of algorithms, and an introduction to probability and statistics.

MATH 4613 Advanced Differential Equations
3 credits: 3 hours lecture

Prerequisite: MATH 3525

A continuation of MATH 3525. Topics include nonlinear systems, numerical methods, and Laplace transforms.

MATH 465V Mathematics Reading and Research
Variable credit

Prerequisites: Junior or senior standing and approval of the Chairman of the Mathematics and Sciences Division.

MATH 4673 Numerical Methods
3 credits: 3 hours lecture

Prerequisites: MATH 3495; CS 2213 or CS 2253

Derivation and generation of numerical methods, error estimates, convergence, and stability of numerical techniques.

MATH 4711 Mathematics Seminar
1 credit: 1 hours lecture

Prerequisite: Junior or senior mathematics major or minor.

Students give oral and written presentations based on laboratory and/or library research. This course may be repeated for a maximum of two credit hours.

MATH 479V Independent Study in Mathematics
Variable credit

Consult the Independent Study Courses subheading in the Academic Regulations section of this catalog for prerequisites and description.


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