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 (41 hours):
| Course | Title | Hours Required |
| MATH 1513 | College Algebra | 3 |
| MATH 1613 | Trigonometry | 3 |
| MATH 1745 | Calculus & Analytic Geometry I | 5 |
| MATH 2225 | Calculus & Analytic Geometry II | 5 |
| MATH 3233 | Linear Algebra * | 3 |
| MATH 3243 | Calculus III | 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 2114 | General Physics I | 4 |
| * 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 7-12. For a program checklist for teacher certification or information about the provisional teaching endorsement, students should consult the mathematics education advisor.
Required Professional Education core (30 hours), plus
Required Math Core (48 hours):
| Course | Title | Hours Required |
| MATH 1513 | College Algebra | 3 |
| MATH 1613 | Trigonometry | 3 |
| MATH 1145 | Calculus & Analytic Geometry I | 5 |
| MATH 2225 | Calculus & Analytic Geometry II | 5 |
| MATH 3243 | Calculus III | 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 4463 | Teaching Mathematics in Secondary School | 3 |
plus two of the following courses (for total of 6 hours):
| MATH 3233 | Linear Algebra | 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 4403 | Probability & Statistics II | 3 |
| MATH 4413 | Numerical Analysis | 3 |
| MATH 4423 | Complex Variable Theory | 3 |
|
and |
||
| CSCI 2043 | Programming in Basic | 3 |
| PHYS 1301 | General Physics Laboratory I | 1 |
| PHYS 2114 | General Physics I | 4 |
Minor in Mathematics
18 hours in mathematics from the following (with approval of math advisor):
| MATH 1745 | Calculus and Analytic Geometry I | 5 |
| MATH 2225 | Calculus and Analytic Geometry II | 5 |
| MATH 3233 | Linear Algebra | 3 |
| MATH 3243 | Calculus III | 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
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, polynomicals, 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. 3 hours. Prerequisite: MATH 0123
or two years of high school algebra.
1613 TRIGONOMETRY
Study of trigonometric functions; identities; equations; and applications.
3 hours. Prerequisite or co-requisite: MATH 1513
1745 CALCULUS & ANALYTIC GEOMETRY I
Differential and integral calculus of elementary functions, with associated
analytic geometry. 5 hours. Prerequisites: MATH 1513 and MATH 1613
(or the equivalent of these).
2113 MATH CONTENT I
Materials and content of the mathematics commonly included or related
to today's lower elementary school curriculum. Does not meet degree requirements
for math majors. 3 hours. Prerequisite: IDS 1223 or equivalent.
2203 ELEMENTARY STATISTICS
An introduction to statistical principles and probability, with applications
in business, social and behavioral sciences. 3 hours. Prerequisite: 0123
or equivalent.
2213 FINITE MATH
Elements of set theory. Matrix and determinant, linear programming,
decision theory, finance math, and probability theory. 3 hours. Prerequisite:
0123.
2225 CALCULUS & ANALYTIC GEOMETRY II
Theory and techniques of single variable calculus, including differentiable
functions, limits and theory of curves. 5 hours. Prerequisite: MATH 1745.
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 MATH CONTENT II
Materials and content of the mathematics commonly included or related
to today's curriculum in the intermediate grades. Does not meet degree
requirements for math majors. 3 hours. Prerequisite: MATH 2113 and
admission to Teacher Education.
3233 LINEAR ALGEBRA
Systems of linear equations, vector spaces, linear transformations and
matrices, dot products and cross products, eigenvalues, and eigenvectors.
3 hours. Prerequisite: MATH 1745 or equivalent.
3243 CALCULUS III
Theory and techniques of single and multivariable calculus, partial
differentiation, multiple integration, and linear differential equations.
3 hours. Prerequisites: MATH 2225.
3253 FOUNDATIONS OF MATHEMATICS
Study of logic structure in mathematics, mathematical language and proof,
set theory, relations and functions, and number system. 3 hours. Prerequisite:
MATH 2225.
3313 ADVANCED EUCLIDEAN GEOMETRY
Logical structure and proofs in several geometries including affine,
Euclidean and some finite geometries. 3 hours. Prerequisite or co-requisite:
MATH 3253.
3323 MODERN ALGEBRA I
Introduction to algebraic properties of groups, rings, fields and other
abstract algebras. 3 hours. Prerequisite: MATH 3253.
3333 MODERN ALGEBRA II
Continuation of MATH 3323. 3 hours.
3353 DIFFERENTIAL EQUATIONS
Study of some ordinary differential equations, their applications, and
methods of obtaining solutions. 3 hours. Prerequisite: MATH 3243.
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. 3 hours. Prerequisite: MATH 3243.
3373 ADVANCED CALCULUS II
Continuation of 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. 3 hours. Prerequisite: MATH 2225.
4403 PROBABILITY AND STATISTICS II
Continuation of 4303. Study includes such topics as curve fitting; testing
hypotheses; decision making; estimation; small sample distributions; nonparametric
methods; regression; correlation and analysis of variance. 3 hours. Prerequisites:
MATH 3243 and MATH 4303.
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. 3 hours. Prerequisites: CSCI 2243 and MATH 3243.
4423 COMPLEX VARIABLE THEORY
Complex numbers, elementary functions and analytic functions, conformal
mappings, complex integrals, power series, and integration by the method
of residues. 3 hours. Prerequisite: MATH 3243.
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. 3 hours. Prerequisite: admission to Teacher Education in mathematics.
Education credit only.
4880 SPECIAL TOPICS
Special topics in mathematics. 1-4 hours (may be repeated for total
of 6 hours).
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).