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Course Criteria
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3.00 Credits
(3 sem. hrs.) This course is designed to review topics from arithmetic and elementary algebra. It is the goal of this course to prepare the student who comes to Heidelberg with mathematics deficiencies to enter MTH115, Quantitative Reasoning. Major emphasis will be given to applications in business, the natural sciences and social sciences. This course does not fulfill any degree requirements of any major. A student taking this course will need an additional three hours to graduate. Placement into this course will be determined by placement testing and evaluation of high school transcript. (Fall and Spring)
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3.00 Credits
(3 sem. hrs.) This course will cover a broad range of topics with emphasis given to applications in business, the natural sciences and the social sciences. Topics include the basics of set theory, functions, systems of linear equations and inequalities, linear programming, permutations, combinations, probability and descriptive statistics. It is a goal of this course to improve skills in problem solving and the ability to think quantitatively. This course does not fulfill any requirements of the mathematics major. (Fall and Spring) PREREQUISITES: Recommendation of the Mathematics Department or successful completion (C- or better) of MTH090.
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3.00 Credits
(3 sem. hrs.) Topics covered are set theory, numeration systems, estimation, number theory, counting procedures (permutations and combinations), geometry and measurement. Problem solving, communication skills and critical thinking will be emphasized in the treatment of all topics. This course does not fulfill any requirements of the mathematics major, or General Education Requirements. (Fall) PREREQUISITES: Completion of (or current enrollment in) EDU200 and successful completion of MTH090 (C- or better) or placement by the Mathematics department. Open only to Early and Middle Childhood Licensure/Candidates.
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3.00 Credits
(3 sem. hrs.) Topics covered are the study of the real numbers including integers, rational numbers, decimals and percents with applications; analytic geometry; probability and statistics. Problem solving, communication skills and critical thinking will be emphasized in the treatment of all topics. This course does not fulfill any requirements of the mathematics major. (Spring) PREREQUISITES: MTH117. Open only to Early and Middle Childhood Licensure/Candidates.
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3.00 Credits
(3 sem. hrs.) Study of elementary functions, their graphs and applications, including polynomials, rational functions, algebraic functions, exponential, logarithmic and trigonometric functions and plane analytic geometry. This course does not fulfill any requirements of the mathematics major, nor does it fulfill the pre-requisite requirement for MTH210. (Fall and Spring) PREREQUISITES: Recommendation of the Mathematics Department, or MTH115.
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3.00 Credits
(3 sem. hrs.) The purpose of this course is to introduce the student to statistical methods and techniques with emphasis given to applications in business, the natural sciences, psychology, and the social sciences. Topics include probability distributions, hypothesis testing (large and small sample), Chi-square test, ANOVA, correlation and regression and nonparametric testing. This course does not fulfill any requirement of the mathematics major. (Fall and Spring) PREREQUISITES: MTH115 or MTH118
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3.00 Credits
(3 sem. hrs.) The development of the concepts of limit, continuity and derivatives, and the associated computational techniques. Applications to the study of motion, optimization, and related concepts in other areas of the social and natural sciences are included. (Fall and Spring) PREREQUISITES: placement or MTH121.
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3.00 Credits
(3 sem. hrs.) The development of the concepts of the definite and indefinite integral, the fundamental theorem of calculus, applications to area, volume and related physical concepts, use of integrals to extend our knowledge of the transcendental functions: logarithmic, exponential and inverse trigonometric functions. (Fall and Spring) PREREQUISITES: MTH222.
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3.00 Credits
(3 sem. hrs.) Solutions of differential equations of the first order and first degree, singular solutions, linear differential equations, integration in series, systems of equations and Laplace transforms. (Fall of odd-even years) PREREQUISITES: MTH223.
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3.00 Credits
(3 sem. hrs.) Finite-dimensional vector spaces, matrix theory, linear transformations, systems of linear equations and quadratic forms. (Spring of odd-even years) PREREQUISITES: MTH222.
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