Course Descriptions

Mathematics

1302. College Algebra: 3 hours

Prerequisite: Pass the Mathematics Placement Test or MAT 1301 at Texas
Wesleyan University
Set theory, real and complex number system, quadratic equations, quadratic formula, equations involving radicals, inequalities, graphs of quadratic and rational functions, logarithmic functions, exponential functions, theory of equations, matrices and determinants, and mathematical induction.

1303. Precalculus: 3 hours

Prerequisite: MAT 1302
Elementary function theory, trigonometry, and an introduction to discrete mathematics, including mathematical induction.

1304. Mathematics for the Liberal Arts: 3 hours

Prerequisite: Pass the Mathematics Placement Test or MAT 1301 at Texas
Wesleyan University
An introduction to some of the most important ideas in mathematics that both provide basic skills and illustrate the power and nature of mathematics. Topics include problem solving, set theory, logic, mathematical systems, number theory, theory of equations and inequalities, function theory, graphing, Euclidean and non-Euclidean geometry, and an introduction to probability and statistics.

1310. Mathematics for Business and Economic Analysis: 3 hours

Prerequisite: MAT 1302
Applications of linear and quadratic business models, linear programming,
and introduction to differential and integral calculus for business applications.

1324. Calculus I (2324): 3 hours

Prerequisite: MAT 1303 or the equivalent
Distance formula, slope, equation of a straight line, equations and graphs of conic sections, translation and rotation of axes, limits, the derivative, rules for differentiation, chain rule, higher derivatives, implicit differentiation, extrema, related rates, introduction to integration, fundamental theorem of calculus, and area under a curve.

1325. Calculus II (2325): 3 hours

Prerequisite: MAT 1324
Volumes; one-sided limits; limits at infinity; continuity and derivatives; derivatives and integrals of trigonometric, logarithmic, exponential, and hyperbolic functions; parametric equations; polar coordinates and equations; and an extensive study of techniques of integration

2331. Calculus III (3331): 3 hours

Prerequisite: MAT 1325
Solid analytic geometry, cylindrical and spherical coordinates, indeterminate forms, sequences, series, convergence tests, Taylor series, differentiation and integration of series, partial derivatives, total and exact differentials, and multiple integrals.

2351. Differential Equations (3351): 3 hours

Prerequisite: MAT 1325
Techniques of solving differential equations and applications. Solutions of first order differential equations, solutions of nth order linear differential equations with constant coefficients, differential operators, solution of nonhomogeneous equations by undetermined coefficients and variation of parameters, Laplace transformation, simultaneous differential equations, and power series.

3311. Introduction to Probability and Statistics: 3 hours

Prerequisite: MAT 1302 or higher level mathematics with MAT 1302
prerequisite
Permutations, combinations, sample space, events, conditional probability, random drawing, random numbers, random variables, and joint, continuous, binomial, and normal distributions.

3321. Linear Algebra: 3 hours

Prerequisite: MAT 1325
Matrices, systems of linear equations, non-homogeneous systems, vector spaces and subspaces, dimension, linear transformations, invertible linear operators, diagonalizable operators, and polynomial theory.

3336. Modern Algebra: 3 hours

Prerequisite: MAT 3321
Elementary theory of groups, rings, integral domains, isomorphisms, and homomorphisms.

3341. Geometry for Classroom Teachers: 3 hours

Prerequisite: MAT 1302 and successful completion of EDU 2300 Deductive and inductive reasoning, undefined terms, postulates or axioms, theorems, congruent triangles, transformations, quadrilaterals, geometric solids, and topics from non-Euclidean geometries.

3381. Discrete Mathematics: 3 hours

Prerequisite: MAT 1324
The study of theory and applications of discrete mathematical structures as applied to computer algorithm design. Topics will include formal logic, sets and combinatorics, relations and functions, graphs, Boolean algebra, and automata.

3391. Mathematical Statistics: 3 hours

Prerequisite: MAT 1325
Probability, random variables, frequency distributions, estimation, and tests of hypotheses from a theoretical standpoint.

4301. Advanced Calculus I: 3 hours

Prerequisite: MAT 2331
An axiomatic approach to limits, derivatives, extrema, mean value theorem for integrals, integral of a derivative, continuous functions, intermediate value theorem, generalized mean value theorem for derivatives and integrals, and L'hopital's rule.

4302. Advanced Calculus II: 3 hours

Prerequisite: MAT 4301
A continuation of MAT 4301. Line integrals, point-set theory, Balzano-Weierstrass theorem, Cauchy's convergence criteria, Heine-Borel theorem, continuity and sequential limits, Riemann-Stieltjes integrals, sequences of functions, uniform continuity, and power series.

4310. Functions of a Complex Variable: 3 hours

Prerequisite: MAT 2331
Complex numbers, functions, limits and continuity, Cauchy-Riemann equations, related theorems, Laurent series, residue theorem, conformal mapping and applications.

4320. Introduction to Topology: 3 hours

Prerequisite: MAT 2331
An introduction to the basic concepts of topology with emphasis on axiomatic treatment of linearly ordered spaces and metric spaces.

Physics

1401. University Physics I: 4 hours

Prerequisite: MAT 1324 or consent of instructor (MAT 1324 may be taken concurrently) Mechanics of solids, liquids, gases, and the phenomena of heat. Three 1-hour class periods and one 3-hour laboratory period per week.

1401. University Physics II: 4 hours

Prerequisite: MAT 1324 or consent of instructor (MAT 1324 may be taken concurrently) Electricity and magnetism, wave motion, and elements of modern physics. Three 1-hour class periods and one 3-hour laboratory period per week.

2311. Introduction to Mechanics : 3 hours

Prerequisites: PHY 1401, 1402, and MAT 1325 (MAT 1325 may be taken concurrently) Statics, linear motion, curvilinear motion, and oscillatory motion. Three lecture periods.

2412. Electricity and Magnetism : 4 hours

Prerequisites: PHY 1401, 1402, and MAT 1325 (MAT 1325 may be taken concurrently) Electricity and magnetism, including Coulomb's Law, Gauss' Law, conductors, circuits, the magnetic field, and alternating currents. Three 1-hour class periods and one 3-hour laboratory period per week.

3101, 3102. The Teaching of Laboratory Physics : 2 hours

Prerequisites: PHY 1401 and 1402
Students in this course will instruct the laboratory sections of PHY 1401 and 1402. Class will meet regularly to discuss the assignment for the week. All students will receive a grade of "S" (satisfactory) or "U"(unsatisfactory) in this course.

3401. Modern Physics II : 4 hours

Prerequisites: PHY 1401 and 1402, MAT 1324, and MAT 1325
Introduction to solid state, X-rays and crystal structure, artificial and natural radioactivity, and applications of quantum mechanics. Three 1-hour class periods and one 3-hour laboratory period per week.

4301. Classical Mechanics: 3 hours

Prerequisites: PHY 2311 and MAT 1325
Vector treatment of the motion of particles, conservative and nonconservative fields, the statics of fluids and solids, introduction to the motion of rigid bodies and oscillators. Three lecture periods

4311. Advanced Electricity and Magnetism : 3 hours

Prerequisites: PHY 2412 and MAT 1325
Vector description of electrostatic fields in free space using the laws of Coulomb, Ampere, and Faraday; Maxwell's electromagnetic field equations; and the electromagnetic properties of material media. Three lecture periods.

3311. Introduction to Probability and Statistics: 3 hours

Prerequisites: Completion of 45 hours or dean's approval; 2.0 GPA
Graded academic experiences that provide students with an opportunity to put classroom learning into practice. Internships provide supervised work experience directly related to one's major field of study.

4394. Internship II: 3 hours

Prerequisites: Completion of 45 hours or dean's approval; 2.0 GPA
Graded academic experiences that provide students with an opportunity to put classroom learning into practice. Internships provide supervised work experience directly related to one's major field of study.

Geology

1401. Principles of Physical Geology: 4 hours

Principles and processes of physical geology with special emphasis on field aspects, such as identification of minerals, rocks, rock formations, and geological processes. Introduction to plate tectonics. Includes laboratory.

1402. Historical Geology: 4 hours

Age-by-age reconstruction of geologic history with emphasis on the paleontological evidence in the earth's crust. Laboratory and field trips will examine fossils and depositional environments.

Contact Information

Department of Mathematics, Computer Science and Physics
Location: McFadden Building, Suite 310
Phone: 817-531-4893 
Fax: 817-531-4275 
Hours: Mon-Fri, 8am-5pm

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