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Course Description: Students will be able to perform arithmetic operations on rational expressions; solve and graph inequalities, absolute value, functions, and systems of linear equations; evaluate, simplify, and rationalize radical expressions and complex numbers; solve quadratic equations by completing the square and using the quadratic formula; and solve and graph inverse, exponential, and logarithmic functions.

- Prerequisite Courses: A grade of "C" or better in MS 096, by placement, or permission of instructor.

The student will be able to:

- Demonstrate understanding and apply mathematical concepts in problem solving
*and*in day to day activities. - Present and interpret numeric information in graphic forms.
- Communicate thoughts and ideas effectively using proper mathematical terms.

The student will be able to:

- Perform arithmetic operations on rational expressions.
- Solve and graph inequalities, absolute value, functions, and systems of linear equations.
- Evaluate, simplify, and rationalize radical expressions and complex numbers.
- Solve quadratic equations by completing the square and using the quadratic formula.
- Solve and graph inverse, exponential, and logarithmic functions.

SLO |
PLO 1 |
PLO 2 |
PLO 3 |

1 |
D |
D |
D |

2 |
ID |
ID |
ID |

3 |
D |
ID |
ID |

4 |
ID |
D |
D |

5 |
D |
ID |
ID |

I = Introduced

D = Demonstrated

M = Mastered

The student will be able to:

General SLO 1. Perform arithmetic operations on rational expressions.

Student Learning Outcomes: |
Assessment Strategies |

1.1. Simplify, add, subtract, multiply, and divide rational expressions. |
Homework and/or class quizzes and/or exams. |

1.2. Find common denominators for rational expressions. |
Homework and/or class quizzes and/or exams. |

1.3. Solve equations involving rational and complex expressions. |
Homework and/or class quizzes and/or exams. |

General SLO 2. Solve and graph inequalities, absolute value, functions, and systems of linear equations.

Student Learning Outcomes: |
Assessment Strategies |

2.1. Solve absolute value equations and graph absolute value inequalities. |
Homework and/or class quizzes and/or exams. |

2.2. Graph functions and relations. |
Class quizzes and/or exams |

2.3. Add, subtract, multiply, and divide functions. |
Homework and/or class quizzes and/or exams. |

2.4. Solve systems of linear equations graphically, by substitution, and elimination. |
Class quizzes and/or exams |

2.5. Solve systems of linear equations with more than two variables. |
Homework and/or class quizzes and/or exams. |

2.6. Solve and graph systems of linear inequalities. |
Class quizzes and/or exams |

General SLO 3. Evaluate, simplify, and rationalize radical expressions and complex numbers.

Student Learning Outcomes: |
Assessment Strategies |

3.1. Simplify, evaluate, and perform arithmetic operations on radical expressions. |
Homework and/or class quizzes and/or exams. |

3.2. Find the domains of radical functions. |
Class quizzes and/or exams |

3.3. Evaluate rational exponents. |
Homework and/or class quizzes and/or exams. |

3.4. Solve radical equations. |
Homework and/or class quizzes and/or exams. |

3.5. Perform arithmetic operations with complex numbers. |
Homework and/or class quizzes and/or exams. |

General SLO 4. Solve quadratics equations by completing the square and using the quadratic formula.

Student Learning Outcomes: |
Assessment Strategies |

4.1. Solve quadratic equations by completing the square including imaginary solutions. |
Homework and/or class quizzes and/or exams. |

4.2. Use the quadratic formula to solve quadratic equations. |
Homework and/or class quizzes and/or exams. |

4.3. Graph quadratic equations and functions. |
Class quizzes and/or exams |

4.4. Solve and graph non-linear inequalities. |
Class quizzes and/or exams |

General SLO 5. Solve and graph inverse, exponential, and logarithmic functions.

Student Learning Outcomes |
Assessment Strategies |

5.1. Find the composition of two functions. |
Homework and/or class quizzes and/or exams. |

5.2. Use composition to find the inverse of a function. |
Homework and/or class quizzes and/or exams. |

5.3. Solve and graph exponential and logarithmic equations and functions. |
Class quizzes and/or exams |

5.4. Solve and graph logarithmic equations and functions. |
Class quizzes and/or exams Practical assessment where students will use graphing paper and software to graph logarithmic functions (scored with a rubric). |

5.5. Solve applications using natural and common logarithms. |
Homework and/or class quizzes and/or exams. |

- Rational expressions and equations
- Compound inequalities
- Absolute value equations, inequalities and functions
- Arithmetic operations with functions
- Systems of linear equations and inequalities
- Radical expressions, equations and functions
- Rational exponents and complex numbers
- Quadratic equations and functions
- Nonlinear inequalities
- Composition and inverse functions
- Exponential equations and functions
- Logarithmic equations and functions.

The course will be taught by lectures and class discussions and activities. Sections that can access or meet in a computer laboratory are encouraged to utilize graphing software to assist students in visualizing equations and functions through graphing tools. Students will also be encouraged to utilize the computer labs outside of class for homework and group work on graphing exercises.

**F. REQUIRED TEXT(S) AND COURSE MATERIALS**

Carson, T., and Jordan, B. (2011). *Elementary and Intermediate Algebra. *Arlington Street, Boston: Pearson Education, Inc., publishing as Addison – Wesley, 3rd edition or most recent edition. (or more recent edition).

Graphing calculators and/or graphing software (optional) e.g. *Winplot*

**G. REFERENCE MATERIALS**

None

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