MTH 095 Intermediate Algebra

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

Credits

Prerequisite

MTH 065 or MTH 070 with a C- or better within the past two years OR equivalent placement via the math placement process

Course Learning Outcomes

Upon successful completion of this course, the student will be able to:

1. Use prerequisite concepts and skills of the arithmetic of real numbers

2. Simplify and factor expressions involving polynomial

3. Simplify and perform operations involving rational expressions

4. Solve equations involving rational expressions

5. Solve application problems leading to equations involving rational expressions

6. Use function notation and distinguish between input and output

7. Identify the domain and range of a function

8. Simplify and perform operations involving radical expressions

9. Solve equations involving radical expressions

10. Solve application problems leading to equations involving radical expressions

11. Write the square root of a negative number in terms of i, and operate with complex numbers

12. Solve quadratic equations by taking square roots, by completing the square, and by the quadratic formula

13. Given a quadratic function find its vertex, axis of symmetry, and intercepts, and graph the parabola

14. Model and solve application problems involving quadratic equations and functions

15. Solve and graph compound inequalities and use interval notation

16. Solve absolute value equations and inequalities

17. Evaluate an exponential function

18. Translate between equivalent exponential and logarithmic notations

19. Model and solve application problems involving exponential and logarithmic equations

20. Use a scientific calculator when appropriate and in an efficient manner