- MATH 10 3 credits Elementary Algebra
- This course is a comprehensive study of the topics generally found in a first year high school algebra course, and provides a foundation for success in required college mathematics courses. (This course is required for students with a mathematics proficiency level of 00. This course does not carry UWP degree credit.) (Fall, Spring, Summer)
**Components:**Lecture- MATH 15 3 credits Intermediate Algebra
- Fundamental operations, factoring, fractions, equations, functions, graphing, exponents and radicals, linear equations, systems of equations, inequalities, polynomials, rational expressions, and quadratics. (This course does not carry UWP degree credit.) (Fall, Spring, Summer)
**Components:**Lecture**Prereqs/Coreqs:**P: MATH 10 with a "C" or better or mathematics proficiency level of 10 or above- MATH 1030 3 credits Mathematics for Educators I
- Math 1030 is the first semester in a three-semester sequence of integrated content and methods courses for preservice teachers. It is open only to students in elementary education pursuing certification levels B-11 or 10-14. (The course is not intended for students pursuing certification level 10-21.) Topics covered include problem solving, formal and informal argument, history and development of number systems, sets, fundamental operations with whole numbers and integers, foundational work with functions, and selected topics from statistics. (Fall, Spring)
**Components:**Exam, Lecture**Prereqs/Coreqs:**P: MATH 15 with a grade of "C" or better or mathematics proficiency level of 15 or above. (Open only to Elementary Education majors)- MATH 1530 3 credits College Algebra
- Equations and inequalities, functions and their graphs, polynomial and rational functions, exponential and logarithmic functions, complex numbers, systems of equations. This course is equivalent to the first half of Math 2450. Students will not receive credit for both Math 1530 and Math 2450. (Fall, Spring, Summer)
**Components:**Lecture**Prereqs/Coreqs:**P: MATH 15 with a grade of "C" or better or mathematics proficiency level of 15 or above. (MATH 1530 and MATH 2530 may not be taken concurrently)- MATH 1630 3 credits Finite Mathematics with Applications
- Set theory, coordinate systems and graphs, matrices, linear systems, linear programming (geometric and simplex), probability, Markov Processes; with applications in the fields of business and economics. (Fall)
**Components:**Lecture**GE:**Math**Prereqs/Coreqs:**P: MATH 15 or MATH 1530 or mathematics proficiency level of 15 or above- MATH 1730 3 credits Mathematics of Finance
- Simple and compound interest, annuities, amortization, depreciation, valuation of securities, and bonds. (Fall, Spring, Summer)
**Components:**Lecture**GE:**Math**Prereqs/Coreqs:**P: MATH 15 or MATH 1530 or mathematics proficiency level of 15 or above- MATH 1830 3 credits Elementary Statistics
- An introduction to statistical analytical methods including graphing distributions, numerical summaries, linear regression and correlation, the normal distribution, confidence intervals and hypothesis tests for means and proportions, analyzing two-way tables, and analysis of variance. Minitab will be used throughout the course. (Fall, Spring, Summer)
**Components:**Exam, Lecture**GE:**Math**Prereqs/Coreqs:**P: MATH 15 or MATH 1530 or mathematics proficiency level of 15 or above- MATH 2030 3 credits Mathematics for Educators II
- Math 2030 is the second semester in a three-semester sequence of integrated content and methods courses for preservice teachers. It is open only to students in elementary education pursuing certification levels B-11 or 10-14. (The course is not intended for students pursuing certification level 10-21.) Topics covered include number theory; composition and decomposition of numbers including primes, factors, and multiples; using physical models to develop concepts of and operations on rational numbers; proportional reasoning; and number sense. (Fall, Spring)
**Components:**Exam, Lecture**GE:**Math (Elem/Mdl Educ Only)**Prereqs/Coreqs:**P: MATH 1030 with a grade of "C" or better. (Open only to Elementary Education majors)- MATH 2450 5 credits Precalculus
- Solving equations and inequalities, functions and their graphs, polynomial and rational functions, exponential and logarithmic functions, trigonometric and inverse trigonometric functions, trigonometric identities and formulas, complex numbers, systems of equations, and conic sections. This course is equivalent to taking both Math 1530 and Math 2530. Students who have credit for Math 1530 or Math 2530 should not take Math 2450. (Fall, Spring, Summer)
**Components:**Lecture**GE:**Math**Prereqs/Coreqs:**P: MATH 15 with a grade of "B" or better or mathematics proficiency level of 20 or above- MATH 2530 3 credits Trigonometry and Analytic Geometry
- Functions and their graphs, trigonometric and inverse trigonometric functions, trigonometric identities and formulas, solution of triangles, complex numbers, exponential and logarithmic functions, and conic sections. This course is equivalent to the second half of Math 2450. Students will not receive credit for both Math 2450 and Math 2530. (Fall, Spring, Summer)
**Components:**Lecture**GE:**Math**Prereqs/Coreqs:**P: MATH 1530 with a grade of "C" or better or mathematics proficiency level of 30 or above- MATH 2630 3 credits Calculus with Applications
- Functions, limits, rates of change, exponential and logarithmic functions, differentiation, integration; with applications in the fields of business and economics. (Spring)
**Components:**Lecture**GE:**Math**Prereqs/Coreqs:**P: MATH 1530 or MATH 1630 or MATH 2450 or mathematics proficiency level of 30 or above- MATH 2640 4 credits Calculus and Analytic Geometry I
- Limits and continuity, differentiation, differentials, antiderivatives, the definite integral and applications. (Fall, Spring, Summer)
**Components:**Exam, Lecture**GE:**Math**Prereqs/Coreqs:**P: MATH 2450 or MATH 2530 with a grade of "C" or better, or mathematics proficiency level of 40- MATH 2730 3 credits Discrete Mathematics
- Logic, sets, combinations, relations, networks and algebraic structures. (Fall, Spring)
**Components:**Lecture**Prereqs/Coreqs:**P: MATH 2450 or MATH 2530 or MATH 2630 or MATH 2640 with a grade of "C" or better, or mathematics proficiency level of 40- MATH 2740 4 credits Calculus and Analytic Geometry II
- Derivatives and integrals involving exponential, logarithmic, and inverse trigonometric functions, further study of limits, further techniques and applications of integration, sequences and series, polar coordinates, and parametric equations. (Fall, Spring, Summer)
**Components:**Exam, Lecture**Prereqs/Coreqs:**P: MATH 2640 with a grade of "C" or better or advanced placement- MATH 2840 4 credits Calculus and Analytic Geometry III
- Analytic geometry of three dimensions, vector analysis, partial differentiation, multiple integrals, and line integrals. (Fall, Spring, Summer)
**Components:**Exam, Lecture**Prereqs/Coreqs:**P: MATH 2740 with a grade of "C" or better or advanced placement- MATH 3020 3 credits Teaching of Mathematics in the Middle and Secondary School
- An analysis of the mathematics studied in the middle and secondary schools. Topics include the principles and standards implemented by the NCTM for teaching mathematics and the methods and materials used in educating students in mathematics. (Fall)
**Components:**Lecture**Prereqs/Coreqs:**P: MATH 2640 and MATH 2740 with a "B" or better and junior standing and admission to the School of Education

- MATH 3030 3 credits Mathematics for Educators III
- Math 3030 is the third semester in a three-semester sequence of integrated content and methods courses for preservice teachers. It is open only to students in elementary education pursuing certification levels B-11 or 10-14. (The course is not intended for students pursuing certification level 10-21). Topics covered include names, properties, and relationships of two- and three-dimensional shapes; spatial sense; transformations including rotations, reflections, and translations; coordinate geometry; concepts of measurement including measurable attributes, standard and non-standard units, precision and accuracy, use of appropriate tools, the structure of systems of measurement; measurement including length, area, volume, size of angles, weight, mass, and temperature; indirect measurement and its uses, including developing formulas; formal and informal argument. (Fall, Spring)
**Components:**Exam, Lecture**Prereqs/Coreqs:**P: MATH 2030 with a grade of "C" or better. (Open only to elementary education majors)- MATH 3040 4 credits Mathematics Seminar for Middle School Teachers
- This course is intended to provide a background for teaching algebra and geometry in the middle school. This course will emphasize problem solving, communication, reasoning, representations, and making connections. Through problem-solving activities lead by either the instructor or students, the course will emphasize specific topics such as proportional reasoning, pattern finding, generalizing functional relationships, solving equations, area, perimeter, and volume. In particular, the course will emphasize the links between algebra and geometry, and when appropriate, will use relevant manipulatives including technology. The course will also emphasize pedagogical implications of current research regarding the teaching and learning of algebra and geometry. (Spring)
**Components:**Lecture**Prereqs/Coreqs:**P: MATH 3030 with a grade of "C" or better. (Open only to students in the early adolescent education program)- MATH 3130 3 credits College Geometry
- Topics from Euclidean geometry including classical theorems, transformational geometry, and Euclidean constructions. Non-Euclidean topics include inversion and reciprocation, as well as some ideas from projective geometry. A dynamic geometry software program is used extensively to illustrate ideas in this course. (Spring)
**Components:**Lecture**Prereqs/Coreqs:**P: MATH 2640 and junior standing- MATH 3230 3 credits Linear Algebra
- Matrices, systems of equations, determinants, eigenvalues, eigenvectors, vector spaces, linear transformations, and diagonalization. This class is intended to introduce students to formal mathematics. Students will be expected to write definitions, theorems, and proofs. (Fall, Spring, Summer)
**Components:**Exam, Lecture**Prereqs/Coreqs:**P: MATH 2740 with a grade of "C" or better- MATH 3330 3 credits Modern Algebra
- Study of the structure of abstract algebraic systems through formal proof. Deals primarily with groups, but also examines other algebraic systems including rings and fields. (Spring)
**Components:**Lecture**Prereqs/Coreqs:**P: MATH 3230 with a grade of "C" or better- MATH 3630 3 credits Differential Equations I
- Solutions of first order differential equations, linear homogeneous and nonhomogeneous differential equations, Laplace transforms, linear systems and applications. (Fall, Spring, Summer)
**Components:**Exam, Lecture**Prereqs/Coreqs:**P: MATH 2840 with a grade of "C" or better- MATH 3730 3 credits Numerical Analysis
- This course is intended to provide an introduction to numerical methods. Topics will include computer arithmetic, solving nonlinear equations, numerical linear algebra, interpolation and curve fitting, numerical calculus, and numerical solutions of ordinary differential equations. Other topics may be added as time permits. (Spring odd years.)
**Components:**Lecture**Prereqs/Coreqs:**P: MATH 3230 and fluency in a programming language- MATH 3830 3 credits Differential Equations II
- Linear systems of differential equations, nonlinear systems, series solutions of differential equations, partial differential equations, orthogonal sets, and Fourier series. (Spring)
**Components:**Lecture**Prereqs/Coreqs:**P: MATH 3630 with a grade of "C" or better- MATH 4030 3 credits Statistical Methods with Applications
- Introduction to probability, density and distribution functions, special discrete and continuous distributions, estimation, hypothesis testing, chi-square, correlation and regression. (Fall, Spring, Summer)
**Components:**Exam, Lecture**Prereqs/Coreqs:**P: MATH 2740 with a grade of "C" or better- MATH 4040 3 credits Statistics and Probability
- A thorough investigation of more advanced applications in statistics including joint distributions, linear regression, multiple regression, design of experiments for a single factor and multiple factors, analysis of variance, nonparametric statistics, and statistical quality control. (Fall)
**Components:**Lecture**Prereqs/Coreqs:**P: MATH 4030 with a grade of "C" or better- MATH 4320 3 credits History and Development of Mathematical Concepts
- A study of the history and development of mathematics from the primitive origins of numbers to modern mathematics. (Fall odd years.)
**Components:**Lecture**Prereqs/Coreqs:**P: MATH 2640 and junior standing- MATH 4330 3 credits Theory of Numbers
- Integers, divisibility, prime numbers, Euclidean algorithm, linear Diophantine equations, congruences, Wilson's and Euler's theorems, Fermat's little theorem, and other selected topics. (Fall even years.)
**Components:**Lecture**Prereqs/Coreqs:**P: MATH 2640 and junior standing- MATH 4430 3 credits Advanced Calculus
- Study, through formal proof, of sequences, limits, continuity, differentiation, integration, infinite series, and uniform convergence. (Fall)
**Components:**Lecture**Prereqs/Coreqs:**P: MATH 2840 with a grade of "C" or better- MATH 4530 3 credits Complex Variables
- Complex numbers, complex functions, differentiation, elementary functions, integration, and infinite series. (Spring even years.)
**Components:**Lecture**Prereqs/Coreqs:**P: MATH 2840 with a grade of "C" or better- MATH 4620 1 - 3 credits Topics in Modern Mathematics
- Topics to be selected by the instructor.
**Components:**Lecture**Prereqs/Coreqs:**P: MATH 2840 with a grade of "C" or better- MATH 4660 1 - 8 credits Cooperative Field Experience
- Enhancement of the educational experience through placement of a student with a cooperating agency, business, industry or institution. The nature of the assignment, type of experience, number of credits, and evaluation procedure to be stipulated in a statement of agreement (learning contract) between the student and department.
**Components:**Field Studies- MATH 4810 1 credit Senior Seminar
- Development of library research techniques, organization and presentation of research findings beyond those formed in existing courses. (Fall, Spring)
**Components:**Seminar**Prereqs/Coreqs:**P: 12 credits of mathematics selected from MATH 3100 and above- MATH 4920 1 - 3 credits Independent Study in Mathematics
**Components:**Independent Study