Mathematics Major Requirements (43 Semester Hours)
43 semeseter hours in Mathematics including:
MATH 133 Trigonometry and Analytic Geometry (3 Credit Hours)
Right triangle ratios, trigonometric functions, graphing trigonometric functions, identities, inverse trigonometric functions, laws of Sines and Cosines, polar coordinates and complex numbers, and analytic geometry.
*Math 134 is not part of the MATH Major core, but should be taken prior to
MATH 241 by anyone that has not completed a specific trigonemtry course in high school
MATH 241 Differential Calculus & Analytic Geometry (4 Credit Hours)
Review of algebra, limits, the derivative, differentiation of algebraic and trigonometric functions, applications of the derivative, extrema, and the antiderivative. Prerequisite: MATH 134 or permission from instructor.
MATH 242 Integral Calculus & Analytic Geometry (4 Credit Hours)
Course contains the integral, applications of the integral, logarithmic and exponential functions, trigonometric functions, hyperbolic functions, techniques of integration, L’Hospital’s Rule and indeterminate forms, and improper integrals. Prerequisite: MATH 241.
MATH 243 Multivariate Calculus & Analytic Geometry (4 Credit Hours)
Topics selected from polar coordinates, vectors, solid analytic geometry, partial differentiation, multiple integration, infinite series, and differential equations. Prerequisite: MATH 242.
MATH 321** Discreet Mathematics (3 Credit Hours)
Logic, methods of proof, sets, relations, functions, equivalences, combinatorics, induction, recursion, and elementary number theory. Prerequisite: ATH 241 or permission from instructor. Prerequisite to all MATH courses listed below.
**MATH 321 is a prerequisite to all remaining MATH 300 and 400 level courses
MATH 331 Introduction to Linear Algebra I (3 Credit Hours)
Vector algebra in Euclidean spaces, lines and planes in space, matrices and linear equations, and abstract vector spaces. Prerequisite: MATH 131 or permission from instructor. Odd years only.
MATH 341
Differential Equations (3 Credit Hours)
Differential equations of first order including basic theory, separation of variables, homogeneous systems, exactness, change of variables, and modeling. Prerequisites: MATH 242 and MATH 321.
MATH 403
Introduction to Analysis (3 Credit Hours)
Sets and functions, topological ideas, LUB property, real sequences, continuity, mean value theorems, integration, definite integrals, Taylor’s theorems, improper integrals, convergence of infinite series, power series, and improper integrals with parameter. Prerequisite: MATH 243. Odd years only.
MATH 433
Introduction to Abstract Algebra (3 Credit Hours)
An introduction to abstract algebra selecting topics from rings, ideals, quotient rings, isomorphic theorems, groups, and subgroups. Prerequisite: MATH 321. Even years only
PHYS 211 General Physics I (4 Credit Hours)
A two-semester sequence which must be taken in order. Mechanics of solids, liquids and gases; laws of thermodynamics; kinetic-molecular theory, vibrating bodies; wave physics; laws of Coulomb, Faraday, Ampere, Ohm, Joule, and Lenz; electromagnetism; and optics. Prerequisite or Corequisite: MATH 242
And
PHYS 213
General Physics Lab I (1 Credit Hour)
Laboratory components accompanying PHYS 111 and PHYS 112 respectively. A general physics laboratory course involving experiments in mechanics, heat, sound, electricity, magnetism, and optics. Experiments are coordinated with PHYS 211-PHYS 212. No credit may be received for these laboratory courses without concurrent or prior completion of the corresponding lecture course.
PHYS 212
General Physics II (4 Credit Hours)
A two-semester sequence which must be taken in order. Mechanics of solids, liquids and gases; laws of thermodynamics; kinetic-molecular theory, vibrating bodies; wave physics; laws of Coulomb, Faraday, Ampere, Ohm, Joule, and Lenz; electromagnetism; and optics. Prerequisite or Corequisite: MATH 242
And
PHYS 214
General Physics Lab II (1 Credit Hour)
Laboratory components accompanying PHYS 111 and PHYS 112 respectively. A general physics laboratory course involving experiments in mechanics, heat, sound, electricity, magnetism, and optics. Experiments are coordinated with PHYS 211-PHYS 212. No credit may be received for these laboratory courses without concurrent or prior completion of the corresponding lecture course.
Choose 1 of the following:
MATH 301
Principles of Geometry (3 Credit Hours)
Mathematical Proof: conjunctions, disjunction, implications, and truth tables. Proofs using triangles, polygons, and circles; transformations, area, and space geometry. Prerequisites: MATH 131, MATH 133, or MATH 204.
CIS 250
Introductory Programming (3 Credit Hours)
This is an introductory course in computer programming in which visual programming and object-oriented programming is employed. It introduces basic programming concepts such as data types, decisions, looping, arrays, files, and databases. The course will utilize the most current language in the marketplace. (Formerly COMP 250)
MATH 372
Probability & Math Statistics (3 Credit Hours)
Theoretical probability using point set approach, probability as a frequency ratio; probability for finite sample spaces; conditional probability; joint and continuous distributions, binomial distribution; Baye’s theorem; statistical applications of probability; theory of sampling and variance. Prerequisite or Corequisite: MATH 242.
Choose 1 of the following:
MATH 332
Linear Algebra (3 Credit Hours)
Vector spaces, subspaces, linear independence, linear transformations, determinants, inner product spaces, orthogonality, and unitary transformations. Prerequisite: MATH 331. Odd years only.
MATH 342
Differential Equations II (3 Credit Hours)
Differential equations of first order and higher degree; differential operators and linear differential equations; reduction of order; and applications. Prerequisite: MATH 341.
MATH 402
Functions of a Complex Variable (3 Credit Hours)
Complex numbers, analytic functions, and elementary functions of a complex variable. Cauchy’s formula, Liouville’s theorem, Laurent’s series, residues, contour integration, conformal mapping, and physical applications. Prerequisite: MATH 243.
Mathematics Minor Requirements (24 Semester Hours)
24 semeseter hours in Mathematics including:
MATH 133
Trigonometry and Analytic Geometry (3 Credit Hours)
Right triangle ratios, trigonometric functions, graphing trigonometric functions, identities, inverse trigonometric functions, laws of Sines and Cosines, polar coordinates and complex numbers, and analytic geometry.
MATH 241
Differential Calculus & Analytic Geometry (4 Credit Hours)
Review of algebra, limits, the derivative, differentiation of algebraic and trigonometric functions, applications of the derivative, extrema, and the antiderivative. Prerequisite: MATH 134 or permission from instructor.
MATH 242
Integral Calculus & Analytic Geometry (4 Credit Hours)
Course contains the integral, applications of the integral, logarithmic and exponential functions, trigonometric functions, hyperbolic functions, techniques of integration, L’Hospital’s Rule and indeterminate forms, and improper integrals. Prerequisite: MATH 241.
MATH 243
Multivariate Calculus & Analytic Geometry (4 Credit Hours)
Topics selected from polar coordinates, vectors, solid analytic geometry, partial differentiation, multiple integration, infinite series, and differential equations. Prerequisite: MATH 242.
MATH 321 *Discreet Mathematics (3 Credit Hours)
Logic, methods of proof, sets, relations, functions, equivalences, combinatorics, induction, recursion, and elementary number theory. Prerequisite: ATH 241 or permission from instructor. Prerequisite to all MATH courses listed below.
MATH 331
Introduction to Linear Algebra I (3 Credit Hours)
Vector algebra in Euclidean spaces, lines and planes in space, matrices and linear equations, and abstract vector spaces. Prerequisite: MATH 131 or permission from instructor. Odd years only.
MATH Elective (Must be 300 or 400 level course) 3 Credit Hours
Or
CIS 250
Introductory Programming (3 Credit Hours)
This is an introductory course in computer programming in which visual programming and object-oriented programming is employed. It introduces basic programming concepts such as data types, decisions, looping, arrays, files, and databases. The course will utilize the most current language in the marketplace. (Formerly COMP 250)
*MATH 321 is a prerequisite to remaining MATH 300/400 level courses
