Mathematics

The USAO mathematics program is designed to meet the needs and interests of the general student, provide the mathematics background required by students in the physical and behavioral sciences, and develop the maturity and competence required by the student preparing for a teaching and/or research career in mathematics.

Bachelor of Science in Mathematics

Required Math Core (39 hours):

Course                                                    Title                                                               Hours Required

MATH 1513                                               College Algebra                                                     3

MATH 1613                                               Trigonometry                                                        3

MATH 1743                                               Calculus & Analytic Geometry I                               3

MATH 2223                                               Calculus & Analytic Geometry II                              3

MATH 2243                                               Calculus & Analytic Geometry III                             3

MATH 3233                                               Linear Algebra *                                                    3

MATH 3263                                               Calculus & Analytic Geometry IV                              3

MATH 3253                                               Foundations of Mathematics                                    3

MATH 3313                                               Advanced Euclidean Geometry *                              3

MATH 3323                                               Modern Algebra I                                                   3

MATH 3333                                               Modern Algebra II *                                               3

MATH 3353                                               Differential Equations *                                          3

MATH 3363                                               Advanced Calculus I *                                            3

MATH 3373                                               Advanced Calculus II *                                           3

MATH 4303                                               Probability & Statistics I *                                       3

MATH 4403                                               Probability & Statistics II *                                      3

MATH 4413                                               Numerical Analysis *                                              3

MATH 4423                                               Complex Variable Theory *                                     3

and

PHYS 2113                                                General Physics I                                                  3

* Choose 4 of these courses for a total of 12 hours

 

Bachelor of Science in Mathematics/Teacher Certification

This program qualifies individuals to obtain an Oklahoma teaching certificate and teach mathematics in grades 5-12. For a program checklist for teacher certification in mathematics, students should consult the mathematics education advisor.

Required Professional Education Core (34 hours)

Required Math Core (43 hours):

Course                                                      Title                                                            Hours Required

MATH 1513                                                College Algebra                                                   3

MATH 1613                                                Trigonometry                                                      3

MATH 1743                                                Calculus & Analytic Geometry I                             3

MATH 2223                                                Calculus & Analytic Geometry II                            3

MATH 2243                                                Calculus & Analytic Geometry III                           3

MATH 3233                                                Linear Algebra                                                     3

MATH 3263                                                Calculus & Analytic Geometry IV                            3

MATH 3253                                                Foundations of Mathematics                                  3

MATH 3313                                                Advanced Euclidean Geometry                               3

MATH 3323                                                Modern Algebra I                                                 3

MATH 4303                                                Probability & Statistics I                                        3

MATH 4403                                                Probability & Statistics II                                       3

MATH 4463                                                Teaching Mathematics in Secondary School             3

and                   

IDS 2011                                                    Foundations of Science Lab                                  1

PHYS 2113                                                 General Physics I                                                 3

Minor in Mathematics

18 hours in mathematics from the following (with approval of math advisor):

MATH 1743                                                Calculus & Analytic Geometry I                              3

MATH 2223                                                Calculus & Analytic Geometry II                             3

MATH 2243                                                Calculus & Analytic Geometry III                            3

MATH 3233                                                Linear Algebra                                                      3

MATH 3263                                                Calculus & Analytic Geometry IV                             3

MATH 3253                                                Foundations of Mathematics                                   3

MATH 3313                                                Advanced Euclidean Geometry                                3

MATH 3323                                                Modern Algebra I                                                  3

MATH 3353                                                Differential Equations                                            3

MATH 4303                                                Probability and Statistics I                                      3           

MATH 4403                                                Probability and Statistics II                                     3


COURSE LISTINGS in MATHEMATICS (MATH)

0103       BASIC MATH SKILLS
              Whole number, integer, and real number operations, fractions, decimals, ratio and proportion, percents.  
              Tuition fee for a 3-hour course; no credit.

0123       BASIC ALGEBRA SKILLS
              The real numbers, absolute value, polynomials, factoring, rational expressions, rational exponents, radicals,
              complex numbers, linear equations and applications, quadratic equations and applications, inequalities.  Tuition
              fee for a 3-hour course; no credit.  Prerequisite MATH 0103 or equivalent.

1513       COLLEGE ALGEBRA
              Functions and graphs, quadratic equations including systems of quadratic equations; binomial theorem;
              progressions; logarithms; and exponential functions; determinants; inequalities.  Prerequisite:  MATH 0123 or an
              ACT mathematics score of 19 or higher.  3 hours

1613       TRIGONOMETRY
               Study of trigonometric functions; identities; equations; and appli­cations. Prerequisite or co-requisite:               
               MATH 1513. 3 hours

1743       CALCULUS & ANALYTIC GEOMETRY I
              Topics covered include equations of straight lines:  conic sections; functions and their graphs; rates of change;
              limits and continuity of elementary functions; derivatives; applications of derivatives including extreme value
              problems and curve sketching.  Prerequisites:  MATH 1513 and MATH 1613 or the equivalent.  3 hours

2113       NUMBER SYSTEMS AND PROBLEM SOLVING
              Inductive and deductive reasoning, relations and functions, number theory, the systems of whole numbers,
              integers, rational numbers and real numbers, mental math & estimation, proportional reasoning and percents. 
              Prerequisites IDS 1223 or equivalent and MATH 0123 or an ACT mathematics score of 19 or higher. 3 hours

2203       ELEMENTARY STATISTICS
              An introduction to statistical principles and probability, with appli­cations in business, social and behavioral
              sciences. Prerequisite: MATH 0123 or an ACT mathematics score of 19 or higher. 3 hours

2213       FINITE MATH
              Elements of set theory. Matrix and determinant, linear program­ming, decision theory, finance math, and
              probability theory. Prerequi­site: MATH 0123 or an ACT mathematics score of 19 or higher. 3 hours

2223       CALCULUS & ANALYTIC GEOMETRY II
              Topics covered include antiderivatives; definite integrals, indefinite integrals; applications of integrals; differential
              and integral calculus of transcendental functions. Prerequisite: MATH 1743. 3 hours

2243       CALCULUS & ANALYTIC GEOMETRY III
              Topics covered include integration techniques; improper integral; sequences, infinite series, power series, calculus
              of polar curves, vector analysis.  Prerequisite: MATH 2223. 3 hours

2880       SPECIAL TOPICS
              Special topics in mathematics. 1-4 hours (may be repeated for total of 6 hours).

2900       WORKSHOP
              Guided study in mathematics under faculty supervision; various topics and methods of instruction. 1-4 hours
              (may be repeated for total of 6 hours with change in title and topic).

2990       TUTORIAL
              Independent study in mathematics under faculty supervision. 1-4 hours (may be repeated for total of 9 hours
              with change in title and content).

3113       FOUNDATIONS OF GEOMETRY AND MEASUREMENT
              Spatial reasoning, constructions, congruence and similarity, concepts of measurement, motion geometry and
              tessellations, and graphical representations of data. 3 hours

3233       LINEAR ALGEBRA
              Systems of linear equations, vector spaces, linear transformations and matrices, dot products and cross products,
              eigenvalues, and eigen­vectors. Prerequisite: MATH 1743 or equivalent. 3 hours

3253       FOUNDATIONS OF MATHEMATICS
              Study of logic structure in mathematics, mathematical language and proof, set theory, relations and functions, and
              number system. Prerequisite: MATH 2223. 3 hours

3263       CALCULUS & ANALYTIC GEOMETRY IV
              Topics covered include vector calculus, multivariable functions and their derivatives; extreme values; Lagrange 
              multipliers; multiple integrals; integration in vector fields. Prerequisite: MATH 2243. 3 hours

3313       ADVANCED EUCLIDEAN GEOMETRY
              Logical structure and proofs in several geometries including affine, Euclidean and some finite geometries.
              Prerequisite or co-requisite: MATH 3253. 3 hours

3323       MODERN ALGEBRA I
              Introduction to algebraic properties of groups, rings, fields and other abstract algebras. Prerequisite: MATH 3253.
              3 hours

3333       MODERN ALGEBRA II
              Continuation of MATH 3323. Prerequisite: MATH 3323. 3 hours

3353       DIFFERENTIAL EQUATIONS
              Study of some ordinary differential equations, their applications, and methods of obtaining solutions. 
              Prerequisite: MATH 3263. 3 hours

3363       ADVANCED CALCULUS I
              Rigorous treatment of topics, including advanced topics in calcu­lus of one variable, calculus of several variables,
              sequences and series, vector calculus, line and surface integrals. Green’s and Stoke’s theorems. Prerequisite: 
              MATH 3263. 3 hours

3373       ADVANCED CALCULUS II
              Continuation of MATH 3363. Prerequisite: MATH 3363. 3 hours

4303       PROBABILITY AND STATISTICS I
              Probability and statistical theory including such topics as condition­al probability; distributions; moment generating
              functions; estima­tion and confidence intervals. Prerequisite: MATH 2223. 3 hours

4403       PROBABILITY AND STATISTICS II
              Continuation of MATH 4303. Study includes such topics as curve fitting; testing hypotheses; decision making;
              estimation; small sample dis­tributions; nonparametric methods; regression; correlation and analysis of variance. 
              Prerequisites: MATH 2223 and MATH 4303. 3 hours

4413       NUMERICAL ANALYSIS
              Selected topics in this field including approximation theory; itera­tive methods for solving equations; interpolation;
              numerical differ­entiation and integration; and difference equations. Emphasis on methods of high speed
              computing. Prerequisites: CSCI 2243 and MATH 3263. 3 hours

4423       COMPLEX VARIABLE THEORY
              Complex numbers, elementary functions and analytic functions, conformal mappings, complex integrals, power
              series, and integration by the method of residues. Prerequisite: MATH 3263. 3 hours

4450       SEMINAR
              Selected topics in mathematics. Topic of study will vary; seminar may be repeated for additional credit with each
              change in content to total of 6 hours. 1-3 hours.

4463       TEACHING MATHEMATICS IN THE SECONDARY SCHOOL
              Survey of methods and materials used in teaching mathema­tics in secondary school. Prerequisite: admission to
              Teacher Education in mathematics. Education credit only. 3 hours

4880       SPECIAL TOPICS
              Special topics in mathematics. 1-4 hours (may be repeated for total of 6 hour

4900       WORKSHOP
              Related topics and problems in mathematics. 1-6 hours (may be repeated for total of 9 hours with change in title 
              and content).

4990       TUTORIAL
              Independent study in mathematics under faculty supervision. 1-4 hours (may be repeated for total of 9 hours
              with change in title and content).