MATH 1201 - College Algebra II and Trigonometry

1. Convert from degrees to radians and vice versa.
2. Define the six trigonometric functions and find values of them with and without a calculator.
3. Prove identities that make use of the eight fundamental identities and other identities such as the sum and difference formulas and the double and half angle formulas.
4. Solve application problems that involve solving triangles using right triangle trigonometry, the Law of Sines, Law of Cosines, and other application problems that might include finding the area of a triangle and harmonic motion.
5. Solve trigonometric equations, including those that involve factoring.
6. Demonstrate elementary properties of inverse trigonometric functions.
7. Add, subtract, multiply and divide complex numbers in rectangular form.
8. Graph a complex number and change it to trigonometric form and vice versa.
9. Multiply, divide, raise to a power, and find roots of complex numbers by using the trigonometric form.
10. Sketch and find a scalar multiple, sum, and difference of vectors.
11. Find the magnitude of a vector.
12. Find a unit vector that points in the direction of a given vector.
13. Find and use the dot product of two vectors.
14. Solve application problems that involve vectors.
15. Find the real, rational, and/or complex zeros of a polynomial function. 
16. Identify, transform, and/or produce the graph for a given parabola, ellipse, or a hyperbola.
17. Eliminate the parameter for a plane curve defined parametrically.
18. Sketch certain curves defined parametrically.
19. Sketch the graphs of equations given in polar coordinates.
20. Readily convert back and forth between Cartesian and polar coordinates and equations.
21. Solve a system of linear equations using row reduction.
22. Find any foci, vertices, and directrices for a given parabola, ellipse, or hyperbola.
23. Find the domain, intercepts, and asymptotes (vertical, horizontal, and oblique) for a given rational function and graph the function.
24. Use a graphing utility where applicable in the above outcomes and interpret the results.
25. Graph the six trigonometric functions with emphasis on graphs of the form y = asin (bx + c) + d and y = acos (bx + c) + d.

1. Trigonometric functions
2. Analytic trigonometry (identities, equations, and inverse functions)
3. Applications of trigonometry
4. Selected polynomial and rational function topics
5. Matrices and vectors
6. Conics
7. Parametric equations and polar coordinates
8. Modeling

1. The student should contact an instructor currently teaching or scheduled to teach the desired course.
2. The instructor will provide and schedule an exam date.
3. The student is to bring the Credit by Exam form to the scheduled exam.
4. The faculty member will notify the student and Records Office of the results.