MATH8B: SECOND HALF PRECALCULUS
Course Description
Math 8B prepares students for the study of calculus by providing important skills in algebraic manipulation, interpretation, and problem solving at the college level. Topics will include trigonometric functions, identities, inverse trigonometric functions, and equations; applications of trigonometry, vectors, complex numbers, polar and parametric equations; conic sections; sequences, series, counting principles, permutations, mathematical induction; analytic geometry, and an introduction to limits. PREREQUISITE: Mathematics 8A with a grade of 'C' or better. ADVISORY: Math 208 Survey of Practical Geometry.
Learning Outcomes
- Explain and use trigonometric functions and their inverses.
- Sketch the graphs of the basic trigonometric functions under transformations.
- Apply right triangle trigonometry to problem solving.
- Verify trigonometric identities and solve conditional trigonometric equations.
- Employ the Law of Sines and the Law of Cosines in problem solving. Utilize vectors to describe physical situations and solve problems.
- Demonstrate proficiency with complex numbers in trigonometric form. Recognize and utilize polar and parametric graphs and equations. Recognize and graph conic sections.
- Recognize sequences and series and use them to solve appropriate problems.
- Use counting principles in problem solving. Use mathematical induction to illustrate proofs.
- Utilize vectors in three dimensions; calculate vector products. Recognize the equations of lines and planes in space.
- Find limits and apply limit theorems.