# Intermediate Algebra

**I. Course Prefix/Number: **
MAT 110

** Course Name: **
Intermediate Algebra

** Credits: **
4 (4 lecture; 0 lab)

**II. Prerequisite **

MAT 070 or appropriate score on Mathematics Placement Test.

**III. Course (Catalog) Description **

Course covers algebraic principles at intermediate level. Content includes real and complex numbers, exponents, polynomials, radicals, first- and second-degree equations, systems of equations, inequalities and rational expressions. Course objectives will be achieved using computer-assisted learning, group discussions, and individual tutoring.

**IV. Learning Objectives **

**Module 11 Objectives:**

Use interval notation successfully.

Demonstrate the ability to find intersections, unions and compound inequalities.

Calculate the absolute value of equations and inequalities.

Solve systems of equations with 3 variables successfully.

Demonstrate the ability to solve applied problems using systems of equations.

**Module 12 Objectives:**

Factor polynomials including sums and differences of cubes successfully.

Demonstrate the ability to solve second degree equations by factoring.

Calculate, simplify, and perform operations on rational expressions successfully.

Find the LCM’s of rational expressions.

Demonstrate the ability to divide polynomials.

**Module 13 Objectives:**

Provide evidence of successfully simplifying complex fractions.

Solve rational equations correctly.

Recognize and apply applications of rational equations including proportions.

Compute with rational formulas and applications correctly.

Demonstrate the ability to calculate variation and applications thereof.

**Module 14 Objectives:**

Simplify and perform operations on radical expressions successfully.

Compute with rational numbers as exponents.

Solve radical equations.

Perform the basic operations of complex numbers.

**Module 15 Objectives:**

Solve quadratic equations using principle of square roots, completing the square and the quadratic formula.

Apply the concepts learned to solving word problems.

**V. Academic Integrity **

Students and employees at Oakton Community College are required to demonstrate academic integrity
and follow Oakton's Code of Academic Conduct. This code prohibits:

• cheating,

• plagiarism (turning in work not written by you, or lacking proper citation),

• falsification and fabrication (lying or distorting the truth),

• helping others to cheat,

• unauthorized changes on official documents,

• pretending to be someone else or having someone else pretend to be you,

• making or accepting bribes, special favors, or threats, and

• any other behavior that violates academic integrity.

There are serious consequences to violations of the academic integrity policy. Oakton's policies and procedures provide students a fair hearing if a complaint is made against you. If you are found to have violated the policy, the minimum penalty is failure on the assignment and, a disciplinary record will be established and kept on file in the office of the Vice President for Student Affairs for a period of 3 years.

Details of the Code of Academic Conduct can be found in the Student Handbook.

• cheating,

• plagiarism (turning in work not written by you, or lacking proper citation),

• falsification and fabrication (lying or distorting the truth),

• helping others to cheat,

• unauthorized changes on official documents,

• pretending to be someone else or having someone else pretend to be you,

• making or accepting bribes, special favors, or threats, and

• any other behavior that violates academic integrity.

There are serious consequences to violations of the academic integrity policy. Oakton's policies and procedures provide students a fair hearing if a complaint is made against you. If you are found to have violated the policy, the minimum penalty is failure on the assignment and, a disciplinary record will be established and kept on file in the office of the Vice President for Student Affairs for a period of 3 years.

Details of the Code of Academic Conduct can be found in the Student Handbook.

**VI. Sequence of Topics **

**Module 11: Systems of Equations**

1.4 Sets, Inequalities and Interval notation

1.5 Intersections, Unions and Compound inequalities

1.6 Absolute value equations and inequalities

2.2 Functions and Graphs

3.5 Solving systems in 3 variables

3.6 Solving applied problems in 3 variables

**Module 12: Factoring Polynomials, solving equations by factoring, simplifying, multiplying and dividing Fractions**

4.6 Factoring Sums and differences of Cubes

4.7 Factoring: A general strategy

4.8 Solving polynomial equations by factoring and Applications

5.1 Multiplying, Dividing and Simplifying Rational Expressions

5.2 LCM’s and adding and subtracting fractions

5.3 Division of Polynomials

**Module 13: Complex (compound) Rational Expressions, Solving Rational Equations, Solving Formulas, Variation**

5.4 Complex (compound) Fractions

5.5 Solving Rational equations

5.6 Applications and Proportions

5.7 Formulas and Applications

5.8 Variation and Applications

**Module 14: Radicals and Complex Numbers**

6.1 Radical Expressions

6.2 Rational Numbers as Exponents

6.3 Simplifying Radical Expressions

6.4 Adding, Subtracting and more multiplication

6.5 More on Division of Radicals

6.6 Solving Radical Equations

6.8 The Complex Numbers

**Module 15: Quadratic Equations and Functions**

7.1 Solving Quadratic Equations by taking square roots and by completing the square

7.2 The Quadratic Formula

7.3 Applications of Quadratic Equations

7.4 More on Quadratic Equations

7.5 Graphing Quadratic Functions

**VII. Methods of Instruction **

Methods of instruction include one-on-one and/or small group discussion, and required website ancillaries.

Calculators / computers will be used when appropriate.

Course may be taught as face-to-face, media-based, hybrid or online course.

Calculators / computers will be used when appropriate.

Course may be taught as face-to-face, media-based, hybrid or online course.

**VIII. Course Practices Required **

This course will be taught by a classroom instructor with the use of an interactive computer website. Course participants must attend scheduled class hours as well as one computer lab hour per week. Students may be dropped from the course if they miss more than three class sessions or three lab hours.

Each of the first four modules must be completed with the minimal post-test score as prescribed by the department to proceed to the final module for the course. All course work must be completed in a notebook.

Students may complete a course at any time during the semester. Upon completion of a course, the student can start the next sequential course. A new access code must be purchased at that time. If all modules of a course are not successfully completed within a semester, the student can re-enroll in the same course the following semester beginning with their first uncompleted module.

Each of the first four modules must be completed with the minimal post-test score as prescribed by the department to proceed to the final module for the course. All course work must be completed in a notebook.

Students may complete a course at any time during the semester. Upon completion of a course, the student can start the next sequential course. A new access code must be purchased at that time. If all modules of a course are not successfully completed within a semester, the student can re-enroll in the same course the following semester beginning with their first uncompleted module.

**IX. Instructional Materials **

**Note:**Current textbook information for each course and section is available on Oakton's Schedule of Classes.

Within the Schedule of Classes, textbooks can be found by clicking on an individual course section and looking for the words "View Book Information".

Textbooks can also be found at our Mathematics Textbooks page.

**X. Methods of Evaluating Student Progress **

As determined by department and individual instructor.

**XI. Other Course Information **

If you have a documented learning, psychological, or physical disability you may be entitled to reasonable academic accommodations or services. To request accommodations or services, contact the Access and Disability Resource Center at the Des Plaines or Skokie campus. All students are expected to fulfill essential course requirements. The College will not waive any essential skill or requirement of a course or degree program.