MAC1140 - Precalculus Algebra

Topical Outline with Specific Course Objectives

1. Introduction of Functions, the Properties, Graphs, and Inverses
   1. Analyze and interpret functions using graphs, tables, and equations.
   2. Determine domain and range both algebraically and graphically.
   3. Construct the inverse of a function, both graphically and algebraically when feasible.
   4. Demonstrate an intuitive understanding of functions including limits, continuity, increasing, decreasing, maximum and minimum values, and concavity.
2. Polynomial, Rational, Exponential, Logarithmic, and Piecewise-Defined Functions
   1. Model real-world applications using the functions.
   2. Explain the relationship between logarithmic and exponential functions.
3. Polynomial and Rational Inequalities
   1. Solve non-linear inequalities numerically and graphically, as well as algebraically.
4. Conic Sections
   1. Identify and graph a conic section from its equation.
   2. Find the equation of a conic section from its description.
   3. Identify the attributes of a conic section.
5. Coordinate Transformation
   1. Relate the algebra of functions to graphical representations.
6. Required Special Topics
   1. Use matrices and determinants to solve linear systems of equations.
   2. Demonstrate an understanding of Proof by Induction.
   3. Apply the Binomial Theorem.
   4. Recognize arithmetic and geometric sequences and series in summation or iterative notation.

Department Policies

• Graphing Calculator not allowed on proctored tests or final exam
• Comprehensive Final