|
Date |
|
|
|---|---|---|
| August 18 |
1.1+, 1.2+ |
Introduction Review, Functions |
20 |
1.3+, 2.1+ |
Graphing, Scales, & Transformations, Discrete-Time Models |
25 |
2.2+, 2.3+ |
Exponential Growth & Decay via Sequences, Discrete Population Models |
27 |
3.1+ |
Sequences & Limits, Cobwebbing Project I: Fractal Geometry & Drug Delivery |
September 1 |
3.1+, 3.2+ |
Limits & Continuity |
3 |
3.3+, 3.4+, 3.5+ |
Limits @ Infinity, Some Trig Limits, Properties of Continuous Functions |
8 |
3.6+ |
The Formal Definition of Limits |
10 |
Chs 1-3++ |
EXAM I |
15 |
4.1+, 4.2+ |
The Formal Definition of the Derivative, The Power Rule, Basic Rules of Differentiation, & Derivatives of Polynomials |
17 |
4.3+ |
Product & Quotient Rules |
22 |
4.4+ |
The Chain Rule, Implicit Differentitation, & Related Rates |
24 |
4.5+ |
Derivatives of Trigonometric Functions |
29 |
Midterm Review |
|
October 1 |
Chs 1-4* |
MIDTERM |
6 |
4.6+, 4.7+ |
Derivatives of Exponential Functions, Derivatives of Inverse & Logarithmic Functions |
8 |
4.7+, 4.8+ |
Derivative of Logarithmic Functions & Logarithmic Differentiation, Approximation & Local Linearity Project II: Cancer Models or AV Hill's Contributions to Mathematical Physiology |
13 |
5.1+, 5.2+, |
Global & Local Extrema, Monotonicity & Concavity |
15 |
5.3+ |
Extrema, Inflection Points, & Graphing |
| 20 |
5.4+, 5.5+ |
Optimization, L'Hôpital's Rule |
| 22 |
5.6+, 5.7+ |
Difference Equations: Stability, Newton's Method |
| 27 |
5.8+, 6.1+ |
Antiderivatives, Riemann Integrals & Properties |
| 29 |
6.1+, 6.2+ |
Riemann Integrals & Properties, The Fundamental Theorem of Calculus: Parts I |
| November 3 |
6.2+ |
The Fundamental Theorem of Calculus: Parts I & II |
| 5 |
chs 4-6 |
EXAM II |
| 10 |
6.3+ |
Areas, Cumulative Change, & Average Values |
| 12 |
7.1+ |
Substitution |
| 17 |
7.2+, 7.3+ |
Integration by Parts, Partial Fractions |
| 19 |
7.4+, 7.5+ |
Improper Integrals, Numerical Integration |
| 24 |
7.7+ |
TaylorApproximation Project III: Signals & Neurons or Blood Cell Dynamics & Cell Cycle |
| 26 |
THANKSGIVING |
|
December 1 |
8.1+, 8.2+ |
Solving Differential Equations, Equilibria & Their Stability |
| 3 |
8.2+, 8.3+ |
Equilibria & Their Stability, Systems of Autonomous Differential Equations |
8 |
FR |
Review |
|
|
|
Final Exam: 1 hour 50 minutes from 9:30 - 11:20 am |
The above is a tentative
schedule of work. Any deviations will
be announced in class.
I strongly recommend that you not only master the assigned homeowrk,
but also investigate the unassigned exercises.
Be sure to display all the necessary steps in executing your work.