| Week |
Topics |
| 1. Week |
Real numbers and real line, Cartesian coordinates |
| 2. Week |
Graphs of quadratic equations, functions |
| 3. Week |
Combining functions to make new functions, Trigonometric functions |
| 4. Week |
Limits of functions, limits of infinity and finite limits |
| 5. Week |
Continuity, formal definition of limit, chapter review |
| 6. Week |
Tangent lines and their slopes, derivative, differention |
| 7. Week |
The chain rule, derivatives of trigonometric function |
| 8. Week |
The mean-value theorem, using derivatives, higher order derivatives |
| 9. Week |
Implicit differention, antiderivatives, and initial value |
| 10. Week |
Velocity and acceleration, chapter review |
| 11. Week |
Inverse functions, exponential and logarithmic functions |
| 12. Week |
The national logarithm and exponential, the inverse trigonometric functions |
| 13. Week |
Hyperbolic functions, extreme value, some application of derivatives |
| 14. Week |
Extreme value problems, Taylor polynomials |