# 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:

- Graph the conic sections: circle, ellipse, parabola, and hyperbola
- Identify all conic sections
- Find the equation for each conic section
- Find foci, directrix, vertices, and eccentricity
- Convert from degrees to radians and from radians to degrees
- Find arc length
- Define the six trigonometric functions
- Perform right triangle trigonometry
- Use reference angles to determine trigonometric values of oblique angles
- Graph trigonometric functions using phase shift, period, and amplitude
- Use the sum and difference, double angle, and half-angle identities
- Verify trigonometric identities
- Solve trigonometric equations
- Use the Law of Sines and the Law of Cosines to solve triangles
- Find the magnitude and direction angle of a vector
- Perform vector operations, including the dot product of two vectors.
- Find the angle between two vectors
- Convert a complex number in rectangular form into polar (trigonometric) form and vice versa.
- Use De Moivre’s Theorem to find a power of a complex number
- Find the roots of a complex number
- Convert a rectangular equation to polar equation and vice versa.
- Convert parametric equations to a rectangular equation and vice versa.
- Apply and extend concepts to various problems