# Mathematics (MAT) Courses

**MAT 1005 INTERMEDIATE** **ALGEBRA** (3)

Preparation for MAT 1015. Basic algebra concepts are discussed. The following topics are covered in this course: real numbers, algebraic expressions, linear equations, linear inequalities, graphing, linear functions, and applications.

Prerequisite: none

Offered: as needed

**MAT 1015 INTERMEDIATE ALGEBRA** (3)

Preparation for MAT 1050, MAT 1060, MAT 1100, and MAT 2060. Reviews main topics from high school coursework with a focus on functions and problem solving. Additional concepts include algebraic operations, factoring, linear equations, graphs, exponents, radicals, complex numbers, quadratic equations, radical equations, and applications.

Prerequisite: (1) MAT 1005 or (2) appropriate Math SAT/ACT score or (3) passing a placement test or (4) permission of the instructor.

Offered: fall and spring

**MAT 1030 INTRODUCTION TO COLLEGE MATHEMATICS **(3)

Preparation for MAT 1050 and MAT 1100. Basic algebra concepts are discussed. The following topics are covered in this course: Real numbers, exponents, factoring, linear equations, linear inequalities, rational expressions, radicals, and applications.

Prerequisite: none

Offered: as needed (MU Online Programs Only)

**MAT 1050 COLLEGE ALGEBRA** (3)

Linear and quadratic equations/inequalities, equations with radicals, equations/inequalities with absolute values, applications, functions, graphing, exponential and logarithmic functions, and systems of equations.

Prerequisite: (1) MAT 1015 or MAT 1030 or (2) appropriate Math SAT/ACT score or (3) passing a placement test or (4) permission of the instructor

Offered: fall and spring

**MAT 1060 TOPICS IN ELEMENTARY MATHEMATICS I** (3)

This course is designed to acquaint prospective PK-8, vocational, and special education teachers with the structure of the real numbers system and its subsystems, properties, operations, and algorithms. Topics include problem solving, logic, number theory, mathematical operations over natural, integer, and rational numbers, and algebraic expressions. Students are required to earn a final grade of C or better.

*This course is to be taken by Elementary Education and Special Education Majors and does not fulfill the general core requirement in Mathematics.
*Prerequisite: (1) Appropriate SAT/ACT or placement score or (2) MAT 1015 or MAT 1030 with a grade of C or better.

Offered: as needed in the spring semester

**MAT 1100 FINITE MATHEMATICS** (3)

Functions, lines, sets, systems of equations, inequalities, matrices, linear programming, logic, mathematics of finance, probability, and statistics. A graphing calculator is required.

Prerequisite: (1) MAT 1015 or MAT 1030 or (2) appropriate Math SAT/ACT score or (3) passing a placement test or (4) permission of the instructor.

Offered: fall and spring

**MAT 1125 INTEGERATED PRECALCULUS I – ALGEBRA** (4)

Review of basic concepts of algebra, linear equations in one variable, quadratics equations, rational equations, equations involving radicals, equations with rational exponents, equations in quadratic form, inequalities, equations, and inequalities involving absolute values, graphs and functions, polynomial and rational functions, exponential and logarithmic functions, and applications. Credit is not allowed for both MAT 1125 and MAT 1130.

Prerequisites: Students majoring in Chemistry, Computer Science, Computer Information Technology, Economics, Engineering, Kinesiology, Mathematics, and Mathematics Education with (1) three years of secondary school mathematics, including two years of algebra and units in geometry and trigonometry and an appropriate math SAT/ ACT score or (2) passing a placement test or (3) permission of the instructor.

Offered: fall and spring

**MAT 1130 PRE-CALCULUS I – ALGEBRA** (3)

Linear equations in one variable, quadratics equations, rational equations, equations involving radicals, equations with rational exponents, equations in quadratic form, inequalities, equations and inequalities involving absolute values, graphs and functions, polynomial and rational functions, exponential and logarithmic functions, and applications. Credit is not allowed for both MAT 1125 and MAT 1130.

Prerequisites: (1) three years of secondary school mathematics, including two years of algebra and units in geometry and trigonometry, and an appropriate math SAT/ACT score or (2) passing a placement test or (3) MAT 1050 or (4) permission of the instructor

Offered: fall and spring

**MAT 1140 PRE-CALCULUS II – TRIGONOMETRY** (3)

Trigonometric functions, identities, conditional equations, inverse relations, DeMoivre’s theorem, polar coordinates, applications, and conic sections.

Prerequisite: (1) MAT 1125 or MAT 1130 or (2) passing a placement test or (3) permission of the instructor

Offered: fall and spring

**MAT 2060 TOPICS IN ELEMENTARY MATHEMATICS II** (3)

A course designed to introduce problem-solving skills and heuristic instruction to prospective PK-8, vocational, and special education teachers. Topics include probability, statistics, geometry, and measurement. Students are required to earn a final grade of C or better.

*This course is to be taken by Elementary Education and Special Education Majors and does not fulfill the general core requirement in Mathematics.
*Prerequisite: (1) Appropriate SAT/ACT or placement score or (2) MAT 1015 or MAT 1030 with a grade of C or better

Offered: as needed in the fall semester

**MAT 2200 APPLIED STATISTICS** (3)

Basic concepts of data collection, sampling, and experimental design. Descriptive analysis and graphical displays of data, probability concepts and expectations, normal and binomial distributions, sampling distributions and the Central Limit Theorem, confidence intervals and hypothesis testing, tests for means/proportions of two independent groups, one factor analysis of variance, and understanding relationships among variables: correlation and simple linear regression. Technology use is emphasized. A graphing calculator is required.

Prerequisite: (1) MAT 1050, MAT 1100, or higher or (2) permission of the instructor

Offered: fall and spring

**MAT 2310 CALCULUS I** (3)

Limits, derivatives, including sines and cosines, applications of the derivative, including maxima and minima, and curve sketching. Introduction to the Integral. Credit is not allowed for both MAT 2310 and MAT 2410.

Prerequisite: MAT 1140 or passing a placement test, or permission of the instructor

Offered: as needed

**MAT 2320 CALCULUS II** (3)

Applications of integration related to the area between two curves, volume, work, pressure, moments, centers of mass, arc length, and surfaces of revolution. Derivatives of logarithmic, exponential, and trigonometric functions; l’Hopital’s Rule; improper integrals; techniques of integration. Credit is not allowed for both MAT 2320 and MAT 2420.

Prerequisite: MAT 2310 or permission of the instructor

Offered: as needed

**MAT 2410 CALCULUS I** (4)

Limits, derivatives, including sines and cosines, applications of the derivative, including maxima and minima, and curve sketching, definite integrals, fundamental theorem of calculus, and applications of integrals. Credit is not allowed for both MAT 2310 and MAT 2410.

Prerequisite: (1) MAT 1140 or (2) passing a placement test or (3) permission of the instructor

Offered: fall and spring

**MAT 2420 CALCULUS II** (4)

Techniques and applications of integration, elementary differential equations, sequences, series, power series, Taylor’s Theorem, conic sections, and polar coordinates. Credit is not allowed for both MAT 2320 and MAT 2420.

Prerequisite: MAT 2410 or permission of the instructor

Offered: fall and spring

**MAT 2500 DISCRETE MATHEMATICS I** (3)

Logic, sets, functions, algorithms, integers, matrices, and mathematical reasoning-methods of proof. Prerequisite: MAT 1125 or MAT 1130, or permission of the instructor

Offered: spring

**MAT 2510 DISCRETE MATHEMATICS II** (3)

Elementary and advanced counting techniques, relations, graphs and digraphs, trees, Boolean algebra, and machines.

Prerequisite: MAT 2500 or permission of the instructor

Offered: fall

**MAT 2600 TRANSITION TO ABSTRACT MATHEMATICS** (3)

Preparatory course for upper-level mathematics courses. Topics include logic and proofs, set theory, relations, functions, and cardinality.

Prerequisite: MAT 2500 or permission of the instructor

Offered: fall (even calendar years)

**MAT 3040 CALCULUS III** (4)

Vectors, vector algebra, and vector functions. Differentiation and Integration of functions of several variables, multiple integration, parameterization of curves and surfaces, Green’s Theorem, Gauss’ Theorem, Stokes’ Theorem. Credit is not allowed for both MAT 3040 and MAT 3090.

Prerequisite: MAT 2420 or permission of the instructor

Offered: fall

**MAT 3050 THE HISTORY OF MATHEMATICS** (3)

Mathematical thought from ancient to modern times, major theorems of mathematics, problems of different periods, and the context in which mathematics developed.

Prerequisites: MAT 2420 and 2500, or permission of the instructor

Offered: spring (odd calendar years)

**MAT 3090 CALCULUS III** (3)

Infinite sequences and series, conic sections; and polar coordinates, vectors in the plane and in n-space. Credit is not allowed for both MAT 3040 and MAT 3090.

Prerequisite: MAT 2320 or permission of the instructor

Offered: as needed

**MAT 3100 CALCULUS IV** (3)

Differentiation and Integration of functions of several variables, parameterization of curves and surfaces, Green’s Theorem, Gauss’ Theorem, Stokes’ Theorem. Credit is not allowed for both MAT 3040 and MAT 3100.

Prerequisite: MAT 3090

Offered: as needed

**MAT 3120 LINEAR ALGEBRA** (3)

Linear equations, matrices, determinants, vector spaces, linear independence, linear transformations, similarity of matrices, and characteristics of a matrix.

Prerequisite: MAT 2410 or permission of the instructor

Offered: spring

**MAT 3140 NUMERICAL ANALYSIS** (3)

Error analysis, interpolation, numerical differentiation and integration, solutions of linear and non-linear systems of equations, and ordinary differential equations.

Prerequisite: MAT 2410, MAT 3120, knowledge of a high-level language or permission of the instructor. Cross-listed with CSC 3140 and ISE 3140

Offered: as needed

**MAT 3150 MODERN COLLEGE GEOMETRY** (3)

Euclidean and non-Euclidean geometry. Useful to prospective secondary school mathematics teachers. Prerequisites: MAT 2410 and 2500 or permission of the instructor

Offered: as needed

**MAT 3160 ABSTRACT ALGEBRA** (3)

Basic properties of groups, rings, and fields, including elements of set theory and polynomials.

Prerequisites: MAT 2420 and 2600 or permission of the instructor.

Offered: fall (odd calendar years)

**MAT 3200 PROBABILITY AND STATISTICS** (3)

Probability and statistics, including probability distributions, random variables, stochastic processes, estimation of parameters, hypothesis testing, and regression analysis.

Prerequisites: MAT 2200, 2410 and 2500 or permission of the instructor

Offered: as needed

**MAT 3300 OPERATIONS RESEARCH** (3)

This course provides a broad overview of deterministic and stochastic models in operations research. Topics discussed include different types of network models, review of probability theory, decision making under uncertainty, Markov chains, and queuing models (stochastic models). Some simulation will be included. This course familiarizes students with probabilistic models and methods in Operations Research and their applications. Upon completion of this course, students should understand how to model and analyze systems that show probabilistic behavior or evolve probabilistically over time.

Prerequisite: MAT 2410 or permission of instructor

Cross-listed with ISE 3300

Offered: fall

**MAT 3845 TOPICS IN MATHEMATICS EDUCATION** (3)

Facilitates students’ understanding of how to promote mathematical literacy focusing on instructional strategies for promoting mathematics literacy with adaptations for diverse and exceptional learners. Topics include error analysis, pedagogy of text structures (e.g., proofs, logic tables, and matrices); teaching mathematical writing; statistical techniques for analyzing student learning; and survey of research in mathematics education. This course requires 5 hours working in 6-12th grade mathematics classroom. If enrolled in 2510, 2420, 3420 no additional hours will be required. Students are required to earn a final grade of C or better.

Prerequisite: Formal acceptance to the Teacher Education Program is required for admission.

Cross-listed with EDU 3845

Offered: as needed

**MAT 3920 SEMINAR IN MATHEMATICS I** (2)

This is the first course in a two-course capstone sequence on problem-solving and communicating in mathematics. Students will study different strategies to solve various problems, explore mathematical ideas 377 with the instructor and present these ideas to the faculty and students. Initial research explorations will occur.

Prerequisites: MAT 3040 or permission of the instructor

Corequisite: MAT 3120

Offered: as needed

**MAT 4110 DIFFERENTIAL EQUATIONS** (3)

Ordinary differential equations of the first and second order with applications in geometry and physics.

Prerequisite: MAT 2420 or permission of the instructor

Offered: spring

**MAT 4120 THEORY OF COMPUTABILITY** (3)

The concept of effective computability, Turing machines, primitive recursive functions, Godel numbering, universal Turing machines, and undecidable predicates.

Prerequisites: MAT 2510 and CSC 3250

Cross-listed with CSC 4120

Offered: as needed

**MAT 4140 ADVANCED CALCULUS I** (3)

Sets, functions, real numbers, limits, continuity, differentiation, integration, and sequences of functions.

Prerequisite: MAT 3040 and MAT 3160 or permission of the instructor

Offered: spring (even calendar years)

**MAT 4145 METHODS OF TEACHING MATHEMATICS IN THE MIDDLE/SECONDARY SCHOOL** (3)

A combination of lecture and laboratory using materials and procedures appropriate for the teaching of middle/ secondary school mathematics. For teachers of secondary school mathematics. See EDU 4110- 4190. Students are required to earn a final grade of C or better.

Prerequisite: MAT 1140 or permission of the instructor

Cross-listed with EDU 4145

Offered: as needed

**MAT 4150 ADVANCED CALCULUS II** (3)

Fourier series; vector functions and their derivatives; line and surface integrals; multivariable calculus; implicit function theorem, and the theories of Gauss, Stokes, and Green.

Prerequisite: MAT 4140

Offered: as needed

**MAT 4800 SEMINAR IN MATHEMATICS** (3)

This is a course on problem-solving and communicating in mathematics. Students will study different strategies to solve various problems, explore mathematical ideas with the instructor and present these ideas to the faculty and students.

Prerequisites: MAT 3090 and MAT 3160 or permission of the instructor

Offered: as needed

**MAT 4850 SPECIAL TOPICS** (1-4)

Advanced students study logic and foundations, algebra, analysis, geometry, topology, or applied mathematics.

Prerequisite: permission of the department chair

Offered: as needed

**MAT 4920 SEMINAR IN MATHEMATICS II** (2)

This is the second course in a two-course capstone sequence on problem-solving and communicating in mathematics. Students will study different strategies to solve various problems, explore mathematical ideas with the instructor and present these ideas to the faculty and students. Final research presentations based on initial research will occur.

Prerequisites: MAT 3920 or permission of the instructor.

Offered: as needed

**MAT 4990 INDEPENDENT STUDY IN MATHEMATICS** (TBD)

An opportunity for a well-qualified, upper-division student to engage in special research in his/her major.

Prerequisite: Requires approval by the faculty advisor, the supervising professor, the department chair, and the college dean before approval by the Provost. Credits to be determined.

Offered: as needed