MATH 141 – PreCalculus

Course Description:  This course will present the following concepts: non-linear inequalities, matrices and determinants, polynomial and rational functions, conic sections, theory of equations, sequences and series, mathematical induction.

 

Textbook: Abed, S., Farag, S., Lane, S., Wallace, T., Whitney, B. (2013). Pre-Calculus 141 & 142: 4^th Ed.

 

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Unit 1: College Algebra

·         1.1 Simplifying with Exponents

·         1.2 Radical Expressions and Equations

·         1.3 Quadratic Expressions and Equations

·         1.4 Simplifying Rational Expressions

·         1.5 Complex Numbers

·         1.6 Complete the Square

·         1.7 Solving Linear Formulas

·         1.8 Solving Absolute Value Equations and Inequalities

Unit 2: Functions and Graphs

·         2.1 Functions

·         2.2 Algebra of Functions

·         2.3 Inverse Functions

·         2.4 Applications of Functions

·         2.5 Reading Graphs of Functions

·         2.6 Transformations of Graphs

·         2.7 Transformations of Basic Functions

Unit 3: Graphs of Key Functions

·         3.1 Graphs of Polynomial Functions

·         3.2 Synthetic Division

·         3.3 Rational Root Theorem

·         3.4 Graphs of Reciprocal Functions

·         3.5 Graphs of Rational Functions

Unit 4: Exponents and Logarithms

·         4.1 Exponential Equations with a Common Base

·         4.2 Properties of Logarithms

·         4.3 Exponential Equations with Different Bases

·         4.4 Solving Equations with Logarithms

·         4.5 Applications of Logarithms and Exponents