# MATH& 142 : Precalculus II

Conic sections; trigonometric functions; identities, inverse trigonometric functions; trigonometric equations; solutions of right triangles, laws of sines and cosines; vectors, polar coordinates, and complex numbers, sequences, series, binomial theorem. This class will include students from multiple sections. (QS, NS)

## Prerequisites

2.0 or higher in MATH& 141 or equivalent.

## Course Outcomes

A student who successfully completes this class with a grade of 2.0 or better should be able to:

1. Graph the conic sections: circle, ellipse, parabola, and hyperbola
2. Identify all conic sections
3. Find the equation for each conic section
4. Find foci, directrix, vertices, and eccentricity
6. Find arc length
7. Define the six trigonometric functions
8. Perform right triangle trigonometry
9. Use reference angles to determine trigonometric values of oblique angles
10. Graph trigonometric functions using phase shift, period, and amplitude
11. Use the sum and difference, double angle, and half-angle identities
12. Verify trigonometric identities
13. Solve trigonometric equations
14. Use the Law of Sines and the Law of Cosines to solve triangles
15. Find the magnitude and direction angle of a vector
16. Perform vector operations, including the dot product of two vectors.
17. Find the angle between two vectors
18. Convert a complex number in rectangular form into polar (trigonometric) form and vice versa.
19. Use De Moivre’s Theorem to find a power of a complex number
20. Find the roots of a complex number
21. Convert a rectangular equation to polar equation and vice versa.
22. Convert parametric equations to a rectangular equation and vice versa.
23. Apply and extend concepts to various problems

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