Pre Calculus (Honors)

Department: Mathematics
Teachers: Zachary Sandoval, Susan Torales
Open to: Sophomores, Juniors
Length: 2 Semesters

This course is a continuation of Honors Algebra II. It is expected that students enrolled in this course will have completed Honors Algebra II (or its equivalent) with a grade of B or better and have been recommended by their teacher for advancement in the Honors Program. A scientific calculator is required, preferably a programmable one.

The emphasis in the first semester is on Trigonometry. Numerical methods, graphs, identities, and the inverse trigonometric functions are covered. Optional topics: vectors in 2 and 3 dimensions; and complex numbers in trigonometric form.

During the second semester, matrix algebra and linear systems are studied in some depth, with emphasis on applications. Polar and parametric graphs are also studied. An additional focus point is arithmetic, geometric, and recursive sequences and series, both finite and infinite. Optional topics include: Gaussian elimination; Cramer’s Rule; non-linear systems; mathematical induction; the binomial theorem; and elementary counting techniques (permutations and combinations).