Appendix B - Mathematics Courses – Nova Southeastern University
The following courses are approved to satisfy the 18 GSH for teaching mathematics.
MAT 505 Geometry for Mathematics Teachers (3 Cr)
This course is designed to offer a wide perspective on geometry for graduate students planning to teach secondary mathematics. The course covers both Euclidean and non-Euclidean geometry.
MAT 507 or MAT 681 Linear and Abstract Algebra (3 Cr)
This course provides theory and computational practice with Linear Algebra, as well as a theoretical foundation for Abstract Algebra structures such as rings, fields, and groups. Students will create two portfolios of notes, activities, and exercises: one for Abstract Algebra, and one for Linear Algebra. Prerequisite/s: College Algebra and MAT 0503.
MAT 514 Topics in Algebra and Geometry (3 Cr)
This course covers concepts in number theory, the real number system as well as algebra and geometry. The emphasis is on algebraic models (linear, quadratic, and exponential) and their applications. Additionally, this course will serve students well as a foundation course leading to further study in more advanced topics in algebra, geometry, trigonometry and calculus.
MAT 515 Probability and Statistics (3 Cr)
This course is designed to give students an introduction to probability and statistics with a focus on problem solving. The course includes set theory, Venn diagrams, combinations and permutations, probability, and expected value and concludes with a unit in descriptive statistics and normal distributions. A class project requires students to think critically as well as apply the concepts learning in the course.
MAT 516 Elements of Differential Calculus (3 Cr)
Topics include Limits, Continuity, Definition of the Derivative, Rules of Differentiation, Implicit Differentiation, Applications of the Derivative; Curve Sketching, Related Rates, and Optimization problems.
MAT 517 Elements of Integral Calculus (3 Cr)
The second part of the two-course calculus sequence MAT516/MAT517. Topics include differentiation and applications of exponential and logarithmic functions, indefinite integrals via the anti-derivatives, definite integrals, calculating area using Riemann sums and the Fundamental Theorem of Calculus, properties of the definite integral, integration by substitution, integration by parts, use of integration tables, additional applications of the definite integral to probability theory, volumes of revolution, and separations of variables.
MAT 591 Calculus for Teachers I (3 Cr)
This course is a proof-based "epsilon-delta" calculus, ranging from limits and cluster points to differentiation. Students will solve standard calculus problems computationally and theoretically. Students in this course should have completed College Algebra and Trigonometry, or equivalent courses. Prerequisite/s: MAT 0503
MAT 592 Calculus for Teachers II (3 Cr)
This course is a proof-based "epsilon-delta" calculus, ranging from integral calculus to sequences and series, and cluster points to differentiation. Students will solve standard calculus problems computationally and theoretically. Students in this course should have completed Calculus I or an equivalent course. Prerequisite/s: MAT 0592.
MAT 685 Symbolic Representation and Number Theory in Mathematics (3 Cr)
This course will focus on notational systems, number theory, and the rationale behind them. The increasing use of manipulative and kinesthetic learning will also be addressed. This course is designed to include significant number theory preparation for students wishing to earn initial certification. Prerequisite/s: College algebra and MAT 0503.
MAT 689 Probability and Statistics in Mathematics Education (3 Cr)
This course offers preparation in probability and statistics for the secondary mathematics teacher, as well as for teachers pursuing their initial teacher certification. Also, students will gather and analyze statistics in educational research.