Course Number: MS099
Course Title: Intermediate Algebra

STUDENT LEARNING OUTCOMES

General 

Students will be able to:

1. perform arithmetic operations on rational expressions.
2. solve and graph inequalities, absolute value, functions, and systems of linear equations.
3. evaluate, simplify, and rationalize radical expressions and complex numbers.
4. solve quadratics equations by completing the square and using the quadratic formula.
5. solve and graph inverse, exponential, and logarithmic functions.

Specific 

Students will be able to:

1. perform arithmetic operations on rational expressions.
    a. simplify, add, subtract, multiply, divide, rational expressions
    b. find common denominators for rational expressions
    c. solve equations involving rational and complex expressions

2. solve and graph inequalities, absolute value, functions, and systems of linear equations.
    a. solve equations with compound inequalities and absolute values
    b. graph functions and relations
    c. add, subtract, multiply, and divide functions
    d. solve systems of linear equations graphically, by substitution, and elimination
    e. solving systems of linear equations with more than two variables
    f. solve systems of linear inequalities

3. evaluate, simplify, and rationalize radical expressions and complex numbers.
    a. simplify, evaluate, and perform arithmetic operations on radical expressions and functions
    b. find the domain for radical expressions
    c. evaluate rational exponents
    d. solve radical equations
    e. perform arithmetic operations with complex numbers

4. solve quadratics equations by completing the square and using the quadratic formula.
    a. solve quadratic equations by completing the square including imaginary solutions
    b. use the quadratic formula to solve quadratic equations
    c. graph quadratic equations and functions
    d. solve non-linear inequalities

5. solve and graph inverse, exponential, and logarithmic functions
    a. find the composition of two functions
    b. use composition to find the inverse of a function
    c. solve and graph exponential equations and functions
    d. solve and graph logarithmic functions
    e. solve applications using natural and common logarithms