Math College Courses Completed and Descriptions: Analytic Geometry and Calculus 1 : This course covers plane analytic geometry, rate of change of a function, differentiation of algebraic functions, integration and applications.
Analytic and Geometry Calculus 2 : This course covers equations of the second degree, differentiation and integration of transcendental functions, parametric equations, and applications.
Analytic and Geometry Calculus 3 : This course covers infinite series, multi-variable calculus, solid analytic geometry, coordinate systems, review of integration, applications.
Elementary Statistics : Introduction to the fundamental concepts of applied statistics that include elementary probability, descriptive statistics, frequency functions, sampling distributions, the testing of hypotheses, estimation, correlation and regression. Emphasis is given to applications of these concepts in the managerial, business and behavioral sciences.
Fundamentals of Mathematical Reasoning : Students will be introduced to topics and themes that appear in upper-level courses, including set theory, functions, relations, cardinality, methods of proof. Mathematical software, computer algebra systems, techniques and other resources will be used for writing, presentation, and research in mathematics.
History of Mathematics : This course is a survey of the history of mathematics from ancient times through the development of calculus and the origins of modern algebra in the nineteenth century. Topics of the history of mathematics will be examined using a problem solving approach.
Linear Algebra : Linear functions limited to real, finite dimensional cases, linear transformations, vector spaces, matrix theory, quadratic forms.
Math Coordinating Seminar : This course serves as a capstone experience. Students will demonstrate their understanding of various topics in mathematics through projects and extended readings.
Mathematics for the Elementary School Teacher Part 1 : A course for elementary school teachers covering problem solving, numeration, sets, relations, functions, integers, rational and real number systems, and the use of calculators.
Methods in Mathematics for Childhood Education : This course focuses on methods of teaching elementary mathematics. Current theories and relevant research will be examined. Candidates will learn instructional strategies to teach major concepts and procedures that define number and operations, algebra, geometry, measurement, and data analysis and probability. Lesson planning will also be a focus, with an emphasis on engaging students in critical thinking, problem solving, communication, and collaboration.
Modern Abstract Algebra : Number theory, equivalence and congruence, groups, rings and fields, solution of polynomial equations.
Probability and Mathematical Statistics : Introduction to probability theory and the fundamental concepts of statistical inference that includes a study of the common discrete and continuous probability distributions, sampling theory, estimation, testing hypotheses, method of least squares and analysis of variance.