Mathematics at Ozarks

Course Descriptions

MTH 1013 CONTEMPORARY MATHEMATICS
This course covers a variety of mathematical topics related to the history of mathematics and to applications of mathematics. Topics include mathematical problem solving, number representation and calculation, the real number system, consumer/financial mathematics, the metric system, and statistics. The course includes a mandatory laboratory in addition to the regular three hours of class meeting time. As a general elective, the course will be helpful to students who want or need additional help with applied mathematics.

MTH 1033 COLLEGE ALGEBRA
This course satisfies the minimum mathematics requirement for graduation. The course covers properties of the real number system, functions and relations, graphing, systems of equations and logarithmic functions.

MTH 1043 COLLEGE TRIGONOMETRY
Circular functions and their graphs, identities, inverse trigonometric functions, trigonometric equations and applications of trigonometry. Prerequisite: MTH 1033 College Algebra, or its equivalent.

MTH 2015 CALCULUS I
Analytic geometry, functions, limits; continuity, derivatives of algebraic functions, applications of the derivative, antiderivatives and ntegration, transcendental functions. Prerequisites: MTH 1033, College Algebra and MTH 1043, College Trigonometry.

MTH 2024 CALCULUS II
Application of integration, Techniques of integration, indeterminate forms, sequences and series, conics, parametric equations, and polar coordinates. Prerequisite: MTH 2015, Calculus I. MTH 2053 Mathematics for Middle Level Teachers I Topics include sets, systems of numeration, elementary number theory, algorithms, geometric principles, and data analysis.

MTH 2063 MATHEMATICS FOR ELEMENTARY LEVEL TEACHERS I
Topics include sets, systems of numeration, elementary number theory, algorithms. For elementary education majors only.

MTH 2123 DISCRETE MATHEMATICS
Concepts covered are sets, functions, proof techniques, logic, logic circuits, relations on sets, counting, pigeonhole principle, binomial coefficients, recurrence relations, and graph theory. Prerequisite: MTH 1033, College Algebra (or its equivalent).

MTH 2153 MATHEMATICS FOR MIDDLE LEVEL TEACHERS II
This course is a continuation of MTH 2053. Prerequisite: MTH 2053 Mathematics for Middle Level Teachers I, or the Instructor’s permission.

MTH 2163 MATHEMATICS FOR ELEMENTARY LEVEL TEACHERS II
This course is a continuation of MTH 2063. Prerequisite: MTH 2063, Mathematics for Elementary Level Teachers I, or the Instructor’s permission.

MTH 3013 MODERN GEOMETRY
A modern development of Euclidean geometry with an introduction to non-Euclidean geometry. Prerequisite: MTH 1033, College Algebra.

MTH 3023 DIFFERENTIAL EQUATIONS
A study of techniques for solving various types of differential equations. Prerequisite: MTH 2024, Calculus II.

MTH 3033 PROBABILITY AND STATISTICS
Discrete and continuous random variables, probability distributions, moments and limit theorems. Prerequisite: MTH 2024, Calculus II.

MTH 3113 DATA STRUCTURES
Study of data structures and algorithms fundamental to computer science; abstract data-type concepts; measures of program running time and time complexity; algorithm analysis and design techniques, queues, stacks, and lists; methods of proof as they relate to program verification; sets, functions, and relations as they relate to the analysis of algorithms. Includes the study of algorithms, time complexity, and design techniques. Prerequisites: CSC 2023, Introduction to Programming, and MTH/CSC, 2123 Discrete Math.

MTH 3114 CALCULUS III
Calculus of several variables, and vector calculus. Prerequisite: MTH 2024, Calculus II.

MTH 3123 LINEAR ALGEBRA
Matrices and matrix algebra, systems of linear equations, vector spaces, linear transformations, eigenvalues and eigenvectors. Prerequisite: MTH 2024, Calculus II. MTH 3213 Numerical Analysis Introduction to the problems of numerical analysis emphasizing computational procedures and application. Topics covered will include roots of equations, numerical integration, least squares, simultaneous equations, and curve fitting. Prerequisites: MTH 2024, Calculus II and CSC 2023, Introduction to Programming.

MTH 3703 MATHEMATICS PEDAGOGY
This course serves as a study of pedagogy used in the teaching of middle- school mathematics curriculum. It addresses basic models, strategies, and skills necessary for teaching mathematics content. Course will utilize lectures, speakers, candidate projects, and field experiences. The purpose of this course is to prepare candidates for successful middle- level classroom teaching in the fields of mathematics content through providing candidates with knowledge of the basic principles of instructional planning and presentation to include a repertoire of basic teaching models, strategies, and skills. The course will emphasize methods that actively engage students in learning and offer specific consideration for the integration of mathematics and science.

MTH 3991-3 DIRECTED STUDY IN MATHEMATICS
Various topics, on demand. May be repeated for credit when topics vary. By special arrangement with the Instructor.

MTH 4013 INTRODUCTION TO MATHEMATICAL PROGRAMMING AND COMPUTER ALGORITHMS
An introduction to structure programming using Java. Topics include user-defined types, arrays, records, files and sets. Common algorithms and data structures used in application software will also be discussed. Prerequisites: CSC 2023, Introduction to Programming and MTH 2024, Calculus II.

MTH 4043 INTRODUCTION TO ABSTRACT ALGEBRA
An introduction to algebraic structures, primarily groups, rings, and fields. Prerequisite: MTH 2024, Calculus II.

MTH 4113 HISTORY OF MATHEMATICS
Selected topics in the history of mathematics with an emphasis on the development of mathematics, and the people who contributed to those developments. Prerequisite: MTH 2024, Calculus II, or permission of the Instructor.

MTH 4143 ADVANCED CALCULUS
Limits, continuity, and differentiation of functions of one and several variables, the Riemann integral, and vector analysis. Prerequisite: MTH 3114, Calculus III.

MTH 4213 SENIOR PROJECT
An independent research project arranged between a senior mathematics student and an instructor to provide intensive study in a particular area of interest on a topic approved by the mathematics faculty. The course includes a definition of goals appropriate for the advanced student, ways of attaining those goals, and means of measuring progress. Successful completion of this project is a requirement for graduation.

MTH 4991-3 SPECIAL PROBLEMS IN MATH
Various topics, on demand. May be repeated for credit when topics vary. By special arrangement with the Instructor.

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