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- Exit Skills
- MAT 171 Pre-Calculus

**Exit Skills: **The successful student will be able to solve a variety of problems within the following range of topics:

- Solve quadratic equations, equations of quadratic form and miscellaneous equations.
- Solve quadratic, rational, compound and absolute value inequalities, writing solutions in interval notation.
- Solve higher order polynomial equations using the Remainder, Factor, Rational Root and Conjugate Pairs Theorems.
- Graph rational functions, identifying key components including vertical and horizontal asymptotes.
- Find the rule for the inverse of a function and graph the inverse.
- Graph exponential and logarithmic functions.
- Solve exponential and logarithmic equations.
- Solve systems of non-linear equations and inequalities.
- Solve 3 x 3 systems of linear equations using Gaussian elimination, inverse of a matrix and Cramer’s Rule.
- Perform matrix algebra operations including addition, subtraction, products and the evaluation of determinants by the minor-cofactor method.
- Graph conic sections including circles, parabolas, ellipses and hyperbolas.
- Find terms of a sequence using recursion and explicit formulas, and find the n
^{th}-term formula for arithmetic and geometric sequences. - Use summation notation, and find the sum of arithmetic series, and the sum of finite and infinite geometric series.
- Define the trigonometric functions using the circular and triangular definitions.
- Convert between degree and radian measure.
- Locate and find trigonometric functions of special angles and angles corresponding by reference.
- Use amplitude, period, phase shift and vertical shift to graph trigonometric equations.
- Identify the range restrictions for the inverse trigonometric functions and find inverses.
- Prove and use basic, Pythagorean, angle sum and difference, double angle and half angle identities to simplify expressions, verify identities and solve conditional equations.
- Graph, add and subtract vectors and solve associated applications.
- Prove and use the Law of Sines and the Law of Cosines, and solve associated applications.
- Convert between rectangular and trigonometric form of complex numbers.
- Multiply and divide complex numbers in trigonometric form, and use DeMoivre’s theorem and the N
^{th}-Root theorem to find integer powers and roots of complex numbers. - Convert between rectangular and polar coordinates and equations and graph common polar equations.

8 a.m.-4:30 p.m. Monday-Friday

Administration Building, Room 1242

636-922-8496

Phyllis Marchand

636-922-8496

phyllis_marchand@stchas.edu

Joseph (Joe) W. Howe

636-922-8318

jhowe@stchas.edu

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