| Weeks |
Topics |
| 1 |
Preliminaries (solving inequalities and equations, absolute value, rational expressions, factoring, quadratic equations, simplifications), |
| Functions and Graphs, Lines, Parabolas and Linear Functions, |
| 2 |
Quadratic Functions, Exponential and Logarithmic Functions |
| Simple and Compound Interest, Present and Future Values, Annuities |
| 3 |
Limits, Infinite Limits, Limits at infinity |
| Continuity, Differentiation |
| 4 |
Differentiation, Rules for Differentiation |
| The Product and Quotient Rule, The Chain Rule |
| 5 |
Derivatives of Logarithmic and Exponential Functions |
| Applications of Derivatives, Marginal Analysis |
| 6 |
Curve Sketching, Optimization |
| Antiderivatives and Indefinite Integrals, Definite Integral |
| 7 |
Substitutiton, Integration by parts, Partial fractions |
| Area between curves |