MATH 1210 - Pre-Calculus

1. Identify, graph, and transform functions including constant, linear, polynomial, parabolic, cubic, square root, absolute value, rational, logarithmic, and exponential functions.
2. Identify, transform, and/or produce the graph of a circle.
3. Find an equation of a line given sufficient information.
4. Translate an applied problem into an equation or inequality and provide a solution through algebraic manipulation.
5. Interpret an expression, equation, or inequality by utilizing a graph, table, or diagram.
6. Define a function along with its domain and range.
7. Combine functions through the operations of addition, subtraction, multiplication, division, and composition.
8. Determine the inverse function for a given function.
9. Solve any equation of first or second degree.
10. Solve an exponential equation.
11. Solve a logarithmic equation.
12. Solve a system of linear equations with row reduction.
13. Find a particular term of a given sequence.
14. Find the finite or infinite sums of arithmetic and geometric series.
15. Convert between expanded and closed forms of summation notation.
16. Convert from degrees to radians and vice versa.
17. Define the six trigonometric functions and find values of them with and without a calculator.
18. 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.
19. Graph the six trigonometric functions with emphasis on graphs of the form y = asin (bx + c) and y = acos (bx + c).
20. 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.
21. Solve trigonometric equations, including those that involve factoring.
22. Demonstrate elementary properties of inverse trigonometric functions.
23. Find the real, rational, and/or complex zeros of a polynomial function.
24. Identify, transform, and/or produce the graph for a given parabola, ellipse, or hyperbola.
25. Eliminate the parameter for a plane curve defined parametrically.
26. Sketch certain curves defined parametrically.
27. Sketch the graphs of equations given in polar coordinates.
28. Readily convert back and forth between Cartesian equations and polar equations.
29. Sketch and find a scalar multiple, sum, and difference of vectors.
30. Find the magnitude of a vector.
31. Find a unit vector that points in the direction of a given vector.
32. Find the domain, intercepts, and asymptotes (vertical, horizontal, and oblique) for a given rational function and graph the function.
33. Use a graphing utility and interpret the results where applicable in the above outcomes.

1. Functions (linear, polynomial, rational, exponential, logarithmic)
2. Systems of equations
3. Matrices and Vectors
4. Sequences and Series
5. Conics
6. Parametric Equations and Polar coordinates
7. Trigonometric Functions
8. Analytic Trigonometry (identities, equations, and inverse functions)
9. Applications of Trigonometry
10. 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.