| Week of |
Text sections |
Topics |
| SEP 6 | 1.1, 1.2 | Functions and mathematical
modelling |
| SEP 11 | 1.3, 2.1 | Transformations of graphs;
difference quotients |
| SEP 18 | 2.2, 2.3, 2.5, 2.6 |
Limits, continuity, tangent slopes, velocities |
| SEP 25 | 3.1, 3.2 |
The derivative and differentiability
|
| OCT 2 | 3.3, 3.4 |
Differentiation formulas; applictions of the derivative
|
| OCT 9 | 3.5 |
Derivatives of the trig functions (also fall break)
|
| OCT 16 | 3.6, 3.7 |
The chain rule; implicit differentiation
|
| OCT 23 | 3.10 |
Differentials and their applications
|
| OCT 30 | 4.1, 4.2, 4.3 |
Optimization problems; the Mean Value Theorem
|
| NOV 6 | 4.4, 4.7 |
Curve sketching; more optimization
|
| NOV 13 | 4.8, 4.9 |
Applications to economics; Newton's method
|
| NOV 20 | 4.10 |
Antiderivatives (also Thanksgiving)
|
| NOV 27 | 5.1, 5.2 |
The definite integral
|
| DEC 4 | 5.3, 7.2 |
The Fundamental Theorem of Calculus; inverse functions
|
| DEC 11 | 7.1, 7.3 |
Exponential and logarithmic functions
|