Weeks

Topics

1

Preliminaries (solving inequalities and equations, absolute value, rational  expressions, factoring, quadratic equations, simplifications), 

2

Functions and Graphs, Lines, Parabolas and Linear Functions,

3

 Quadratic Functions, Exponential and Logarithmic Functions

4

Simple and Compound Interest, Present and Future Values, Annuities   

5

Limits, Infinite Limits, Limits at infinity

6

Continuity, Differentiation

7

Differentiation,  Rules for Differentiation

8

The Product and Quotient Rule, The Chain Rule

9

Derivatives of Logarithmic and Exponential Functions

10

Applications of Derivatives, Marginal Analysis

11

Curve Sketching, Optimization

12

Antiderivatives and Indefinite Integrals, Definite Integral

13

 Substitutiton, Integration by parts, Partial fractions

14

 

Area between curves