Unit 1      Initial Concepts in Calculus Preparation                          

                    Interval Notation                                                                                        1.2

                    Absolute Value                                                                                           1.3

                    nth Roots and Fractional Exponents                                                  1.4

                    Complex Numbers                                                                                     1.5

Unit 1 Test

 

Unit 2        Functions

                    What is a Function                                                                                     2.1

                    Adding, Subtracting, Multiplying and Dividing Functions            2.2

                    Beyond Basic Inputs

                    Composition of Functions

                    Domain and Range of Functions

                    Inverse Functions

                    Graphing Functions

                    Continuity

                    Split Domain Functions

Unit 2 Test

 

Unit    3    Polynomial and Rational Functions For Zero

                  Polynomial -- Division

                  The Remainder Theorem

                  Rational Zero Theorem

                  Complex Zeros

                  Factorization of Polynomials

                  The Zeros of Rational Functions

                  The Function of  Functions

Unit 3 Test

 

Unit 4        Inequalities

                    Inequalities -- Solving From Graphs

                    Inequalities that Involve Continuous Functions

                    Inequalities that Involve Non-continuous Functions

Unit 4 Test

 

Unit 5        Trigonometric Functions

                    Trigonometric Functions of Angles

                    Trigonometric Functions of Real Numbers

                    Trigonometric Functions -- Inverses

                    Trigonometric Functions -- Graphs

                    Trigonometric Identities

                    Angle Formulas

                    Trigonometric Equations

Unit 5 Test

 

Unit 6         Exponential and Logarithmic Functions

                    Exponential Functions

                    Exponential Equations

                    Logarithms

                    Log and Exponential Functions -- Graphs

                    Properties of Logarithms

                    Logarithmic and Exponential Equations

                    Exponential and Logarithmic Applications

Unit 6 Test

 

Unit 7         A Bit of Statistics

                 

 

                                                                                

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