One Semester Math Courses

Fall Semester - Formal Logic

This course is an introductory course in the field of Abstract Mathematics, and through this course the students learn how to write and read formal proofs. The units include concepts related to the basics of sets and logic as well as truth tables, Venn diagrams, and Cartesian products. These ideas are Used when studying the five types of proofs: direct proof, proof by contra positive, and proof by contradiction, existence proofs and mathematical induction. There is a Mathematics laboratory component implemented to allow students to have actual hands-on experience with technology and real-world mathematical modeling. [Prerequisites: Calculus and AP Statistics (including concurrent enrollment) or department approval. Half credit.]

Spring Semester - Multivariable Calculus

This course reviews limits, derivatives, and integrals from single variable calculus and extends the concepts to functions of two or more variables. Topics of study include partial derivatives, directional derivatives and gradients, tangent planes and normal lines, extrema of functions of two variables, iterated integrals, double and triple integrals and applications. The course focU.S.es on the understanding of these topics from analytical, numerical and graphical perspectives. There is a Mathematics laboratory component implemented to allow students to have actual hands-on experience with technology and real-world mathematical modeling. [Prerequisites: Calculus and AP Statistics (including concurrent enrollment) or department approval. Half credit.]

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