Mar 28, 2023
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MTH 095 - Intermediate Algebra

5 Credit(s)

Topics include equations, function notation, polynomials, coordinate graphing, rational equations, radical equations, exponents, quadratic functions, exponential and logarithmic functions, inequalities and problem solving methods. This course provides a foundation for MTH 097, MTH 105-107, MTH 111, or MTH 211 or MTH 213.

Prerequisite: MTH 065 , MTH 070  or equivalent course with a grade of C- or better within the past two years, or placement test.
Learning Outcomes
Upon successful completion of this course, the student should be able to:

1. Use prerequisite concepts and skills of the arithmetic of real numbers.
2. Manipulate and evaluate expressions involving exponents, and use scientific notation.
3. Simplify expressions involving polynomials, including factoring.
4. Simplify and perform operations involving rational expressions.
5. Solve equations involving rational expressions.
6. Solve application problems leading to equations involving rational expressions.
7. Use function notation and distinguish between input and output.
8. Write the equation of a line and graph lines on a rectangular coordinate system.
9. Solve linear equations and apply linear equations to application problems.
10. Solve and graph a linear inequality, and use interval notation.
11. Simplify and perform operations involving radical expressions.
12. Solve equations involving radical expressions.
13. Solve application problems leading to equations involving rational expressions.
14. Write the square root of a negative number in terms of i, and operate with complex numbers.
15. Solve quadratic equations by taking square roots, by completing the square, and by the quadratic formula.
16. Given a quadratic function find its vertex, axis of symmetry, and intercepts, and graph the parabola.
17. Model and solve application problems involving quadratic equations and functions.
18. Evaluate an exponential function.
19. Translate between equivalent exponential and logarithmic notations.
20. Model and solve application problems involving exponential and logarithmic equations.
21. Use a scientific calculator when appropriate and in an efficient manner.