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Math 0310 Intermediate Algebra

LSC-CyFair Math Department

Note:

Math 0310 is no longer offered by Lone Star College. This page is here for archival purposes documenting the content of the course for former students and transfer universities.

Catalog Description

Topics for all formats include special products and factoring, rational expressions and equations, rational exponents, radicals, radical equations, quadratic equations, absolute value equations and inequalities, complex numbers, equations of lines, an introduction to the function concept, and graphing. This course carries institutional credit but will not transfer and will not be used to meet degree requirements.

Student Learning Outcomes

Upon completion of this course the student will

  1. Define, represent, and perform operations on real and complex numbers.
  2. Recognize, understand, and analyze features of a function.
  3. Recognize and use algebraic (field) properties, concepts, procedures (including factoring), and algorithms to combine, transform, and evaluate absolute value, polynomial, radical, and rational expressions.
  4. Identify and solve absolute value, polynomial, radical, and rational equations.
  5. Identify and solve absolute value and linear inequalities.
  6. Model, interpret and justify mathematical ideas and concepts using multiple representations.
  7. Connect and use multiple strands of mathematics in situations and problems, as well as in the study of other disciplines.

Contact and Credit Hours

  • Credit Hours: 3
  • Lecture Hours: 3
  • Total Contact Hours: 64

Prerequisites

A grade of C or better in Math 0308 (Introductory Algebra), departmental approval, or test scores in the following ranges:

  • TSI ASSESSMENT: 343 - 349

Required Materials for Students

(In order to help the students save on textbook costs, we are now only requiring the purchase and use of MyMathLab) MyLab Math with Pearson eText - Standalone Access Card - for Beginning & Intermediate Algebra and College Algebra: A Corequisite Solution, 18-Week Access ISBN: 9780134896038 (only use this ISBN for 0310 classes)

* Please let students know that MyMathLab (MML) access must be purchased either online at www.mymathlab.com, or at the bookstore on the Lone Star College–CyFair or at the Fairbanks Center or Cypress Center campuses, or at Text Express across the street from the Lone Star College-CyFair campus. MyMathLab purchased at www.amazon.com and other online sites will not work, as it has a different ISBN than mentioned above and because we have a custom textbook.

Allowed calculators: TI-83, TI- 83 Plus, TI-83 Silver Edition, TI-84, TI-84 Plus or TI-84 Silver Edition.

Optional Materials for Students or Reference Texts

Lial, Hornsby, & McGinnis; Beginning & Intermediate Algebra,6th  Edition (publisher: Pearson); Package: Textbook + MML Access Code, ISBN _9780135266724

Textbook Sections: Beginning & Intermediate, Lial 6th ed.

Equations, Inequalities, and Problem Solving

8.1 – Solving Linear Inequalities (Review of 0308)
8.2 – Compound Inequalities
8.3 – Absolute Value Equations
8.3 – Absolute Value Inequalities

Rational Expressions

6.1, 6.2 – Rational Functions and Multiplying and Dividing Rational Expressions (6.2 is a review from MATH 0308)
6.4 – Adding and Subtracting Rational Expressions
6.5 – Simplifying Complex Fractions
6.6 – Solving Equations Containing Rational Expressions
6.7 – Rational Equations and Problem Solving
9.4 – Variation and Problem Solving


Graphs and Functions

3.2 – Graphing Equations (review Objectives #1 through Objective #4)
9.1 – Introduction to Functions
3.2 – Graphing Linear Functions
3.3 – The Slope of a Line (Review of 0308)
3.4, 3.5 – Equations of Lines
8.4 – Graphing Linear Inequalities (Objective #1 only)


Rational Exponents, Radicals, and Complex Numbers

10.1 - Radicals and Radical Functions
10.2 – Rational Exponents
10.3 – Simplifying Radical Expressions (Objectives #1 thru 5 only)
10.4, 10.5 – Adding, Subtracting, and Multiplying Radical Expressions
10.5 – Rationalizing Denominators and Numerators of Radical Expressions
10.6 – Radical Equations and Problem Solving
10.7 – Complex Numbers


Exponents, Polynomials, and Polynomial Functions

Some of these skills were covered in MATH 0308 (Greatest Common Factor, Factor by Grouping, Factoring Special Products and Trinomials)- so please review these topics and COVER the others. We will review them, but not cover the sections individually.

5.1 – The Greatest Common Factor and Factoring by Grouping
5.2, 5.3 – Factoring Trinomials
5.4 – Factoring by Special Products
5.5, 5.6 – Solving Equations by Factoring and Problem Solving


Quadratic Equations and Functions

11.1 Solving Quadratic Equations by the Square Root Property

11.2 – Solving Quadratic Equations by Completing the Square
11.3 - Solving Quadratic Equations by the Quadratic Formula
11.4 – Solving Equations by Using Quadratic Methods (Objective #1)

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