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COLLEGE ALGEBRA - MATH 1111 (3 Credit Hours)

Description: This course is a functional approach to algebra that incorporates the use of appropriate technology. Emphasis will be placed on the study of functions and their graphs. This includes linear, quadratic, piece-wide defined, inequalities, rational, polynomial, exponential, and logarithmic functions. Appropriate applications will be included.

Prerequisites: None

Course Structure:

  • Lesson 1 - Sets and Sets Operations
  • Lesson 2 - Exponents and Radicals
  • Lesson 3 - Special Products and Factoring
  • Lesson 4 - Fundamental Operations with Rational Expressions
  • Lesson 5 - Linear Equations in One Unknown with Applications
  • Lesson 6 - Quadratic Equations in One Unknown
  • Lesson 7 - Linear Inequalities with One Unknown
  • Lesson 8 - Other Inequalities
  • Lesson 9 - The Cartesian Plane
  • Lesson 10 - Relations, Functions and Their Graphs
  • Lesson 11 - Linear Functions of a Single Variable with Applications
  • Lesson 12 - Systems of Equations and Applications
  • Lesson 13 - Quadratic Functions
  • Lesson 14 - Polynomial Functions of a Single Variable (including Graphs)
  • Lesson 15 - Exponential and Logarithmic Functions

Course Objectives:

  1. Model situations from a variety of settings in generalized mathematical forms. 
  2. Express and manipulate mathematical information, concepts, and thoughts in verbal/numeric/graphical/symbolic form while solving a variety of problems.
  3. Solve multiple-step problems through different (inductive, deductive and symbolic) modes of reasoning.
  4. Properly use appropriate technology in the evaluation, analysis, and synthesis of information in problem-solving situations.
  5. Shift among the verbal, numeric, graphical, and symbolic modes of considering relationships.
  6. Extract quantitative data from a given situation, translate the data into information in various modes, evaluate the information, abstract essential information, make logical deductions, and arrive at reasonable conclusions.

Also Required:
TI-83 or TI-83 PLUS Graphing Calculator
OR
TI-84 or TI-84 PLUS Graphing Calculator