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Course Criteria
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3.00 Credits
This course is designed to develop students' logical, quantitative, and mathematical thinking skills, while exploring applications. The goals of the course are for students to be able to think critically about the mathematics of topics covered in the news, make decisions on quantitative issues in their lives and careers, and clearly explain their reasoning. The course includes topics such as the use and misuse of numbers, statistics in the media, group decision-making, and personal financial mathematics.
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3.00 Credits
This course is an introduction to decision-making in which students will learn how to apply methods of statistical analysis and interpret the results. Students are exposed to basic concepts of counting and estimation with confidence intervals. Topics include descriptive statistics, probability, binomial and normal distributions. Additional topics may include an introduction to hypothesis testing and the Student's t-distribution. Students will learn to use a statistical software package for performing statistical analysis.
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3.00 Credits
This course covers the mathematics topics encountered in elementary school and models some related teaching approaches. The goals of the course are to deepen conceptual understanding of mathematics while developing problem solving and communication skills. Topics include properties of the real number system, multi-base arithmetic, set theory, number theory, probability, statistics, measurement, and principles of geometry. This course covers many of the topics that appear on the mathematics portion of the teacher qualifying examination. Offered in the spring semester. Does not fulfill core curriculum mathematics requirement.
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3.00 Credits
This course is designed for life science majors. Students will apply principles of research design and statistical analysis to interpret data and draw conclusions about the results of experimental situations relevant to the life sciences. Topics include sampling, binomial and normal distributions, hypothesis testing, t-tests, chi-square, correlation, regression, and analysis of variance. Students will learn how to use statistical computer software to perform statistical analyses.
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3.00 Credits
This course focuses on the study of functions. It provides a foundation for the study of calculus, chemistry, and general physics. The goal is to help students understand functional relationships, especially as they may be used to model data related to processes in the physical and biological sciences. Topics include graphing and the analysis, interpretation, and application of polynomial, rational, exponential, logarithmic, and trigonometric functions.
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4.00 Credits
This course focuses on the techniques and applications of differential calculus and introduces integral calculus. The goals are to enable students to understand that differentiation is a study of the rate of change of functions and to develop and analyze mathematical models for solving problems. Additionally, students should learn techniques of integration and be able to interpret the meaning of the definite integral in several applications. Topics to be covered include limits, continuity, derivatives of algebraic, logarithmic, exponential, and trigonometric functions, applications of differentiation, Riemann sums, the Fundamental Theorem of Calculus, and techniques and applications of integration.
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4.00 Credits
This course covers the topics found in MAT 190 (limits, continuous functions, differentiation, the Mean Value Theorem, implicit functions, derivatives of higher orders, applications of derivatives, integral calculus of the polynomial, logarithmic, exponential and and trigonometric functions, integration techniques and applications) but will also introduce students to the mathematical underpinnings of mathematical analysis. Students will be held to a high standard of mathematical rigor and will be expected to demonstrate mastery of definitions as well as statements and proofs of theorems. Additional topics include in-depth examination of selected applications in mathematics and sciences.
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4.00 Credits
This course focuses on the techniques and applications of integral calculus. The goal is to enable students to understand that integration is a study of infinite summation and to utilize this process in solving problems. Applications of integration in several settings and spaces are considered. Additionally differential equations, improper integration, and infinite sequences and series are some of the topics studied.
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4.00 Credits
The focus of this course is the study of multivariable calculus. Major topics include vectors, lines, planes, limits, continuity, derivatives, and integrals of vector valued functions. Other topics may include: sequences and series; polar, cylindrical, spherical and surface integrals; the theorems of Green and Stokes. A variety of applications will also be investigated. Technology will be used to investigate concepts and solve problems. Offered in the fall of alternate years.
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3.00 Credits
This course covers the basic processes, structures, and syntax of a variety of mathematical software packages, including LaTeX for mathematical communication, MS Excel with VBA for data organization, analysis,and simulations, Matlab for numerical analysis and linear algebra, Maple for symbolic manipulation and mathematical exploration, and Mintab for statistical analysis. Although the primary focus of the course is to learn the "syntax" of the software, other skills such as mathematical communication and problem solving will be developed throughout the course through the use of these technologies. The primary goal of the course is to provide mathematical software skills that are valuable for a successful career as a student and in future professions. Does not fulfill the core curriculum mathematics requirement.
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