You are encouraged to watch the videos in advance before class.
Note: videos are available up to and including the one with the
flag. Videos below the
flag will be made available as soon as they are produced.
|
These are complete notes from a past FastTrack program:
|
Videos for the lecture notes of MA 137 are posted below. Each lecture has been broken into several videos for your convenience.
You are encouraged to watch the videos in advance before class.
Note: videos are available up to and including the one with the flag.
Videos below the flag will be made available as soon as they are produced.
|
Lecture 1: |
Preliminaries and Elementary Functions (1.3 and 1.4): pp. 18-42 of our textbook August 21, 2023 | ||
|
Lecture 2: |
Exponential and logarithmic functions (1.2 and 1.3): pp. 4-40 of our textbook August 23, 2023 | ||
|
Lecture 3: |
Applications: Exponential growth and decay (1.2 and 1.3): pp. 4-40 of our textbook August 25, 2023 | ||
|
|||
|
Lecture 4: |
Semilog and double-log plots (end of Section 1.4): pp. 42-58 of our textbook August 28, 2023 | ||
|
Lecture 5: |
Semilog and double-log plots (end of Section 1.4): pp. 42-58 of our textbook August 30, 2023 | ||
|
Lecture 6: |
Exponential growth and decay/Sequences (Sections 2.1 and 2.2): pp. 62-71 of our textbook September 1, 2023 | ||
|
Lecture 7: |
Sequences (Section 2.2): pp. 71-75 of our textbook September 6, 2023 | ||
|
Lecture 8: |
Sequences (Section 2.2): pp. 75-79 of our textbook September 8, 2023 | ||
| |||
|
Lecture 9: |
Optional - More population models (Section 2.3): pp. 81-88 of our textbook September 11, 2023 | ||
| |||
|
Lecture 10: |
Limits (Section 3.1): pp. 101-112 of our textbook September 13, 2023 | ||
|
Lecture 11: |
Limits (Section 3.1); Continuity (Section 3.2): pp. 101-120 of our textbook September 15, 2023 | ||
|
Lecture 13: |
Continuity (Section 3.2): pp. 112-120 of our textbook September 20, 2023 | ||
|
Lecture 14: |
Limits at infinity (Section 3.3); properties of continuous functions (Section 3.5): pp. 120-124 and 129-134 of our textbook September 22, 2023 | ||
|
Lecture 15: |
The Sandwich Theorem and some trigonometric limits (Section 3.4): pp. 124-129 of our textbook September 25, 2023 | ||
| |||
|
Lecture 16: |
Formal definition of the derivative (Sections 4.1 and 4.2): pp. 142-154 of our textbook September 27, 2023 | ||
| |||
|
Lecture 17: |
The power rule, the basic rules of differentiation, and the derivatives of polynomials (Section 4.3): pp. 154-159 of our textbook September 29, 2023 | ||
|
Lecture 18: |
Product rule and quotient rule (Section 4.4): pp. 160-168 of our textbook October 2, 2023 | ||
|
Lecture 19: |
The chain rule and higher derivatives (Sections 4.5 and 4.7): pp. 168-174 and 180-184 of our textbook October 4, 2023 | ||
|
Lecture 20: |
Implicit differentiation (Subsection 4.6.1): pp. 174-176 of our textbook October 6, 2023 | ||
|
Lecture 21: |
Related rates (Subsection 4.6.2): pp. 177-180 of our textbook October 9, 2023 | ||
|
Lecture 22: |
Derivatives of trigonometric functions (Section 4.8): pp. 184-188 of our textbook October 11, 2023 | ||
|
Lecture 23: |
Derivatives of exponential functions (Section 4.9): pp. 188-194 of our textbook October 13, 2023 | ||
|
Lecture 25: |
Derivatives of logarithmic functions and logarithmic differentiation (Subsections 4.10.2 and 4.10.3): pp. 199-204 of our textbook October 18, 2023 | ||
|
Lecture 26: |
Linear approximations and error propagation (Section 4.11): pp. 204-211 of our textbook October 20, 2023 | ||
|
Lecture 27: |
Extrema and the Mean Value Theorem (Section 5.1): pp. 213-225 of our textbook October 25, 2023 | ||
|
Lecture 28: |
Extrema and the Mean Value Theorem (Section 5.1): pp. 213-225 of our textbook October 27, 2023 | ||
|
Lecture 29: |
Monotonicity and concavity (Section 5.2): pp. 225-234 of our textbook October 30, 2023 | ||
|
Lecture 30: |
Extrema, inflection points and graphing (Sections 5.3 and 5.6): pp. 234-242 and 260-271 of our textbook November 1, 2023 | ||
|
Lecture 31: |
Optimization (Section 5.4): pp. 242-253 of our textbook November 3, 2023 | ||
|
Lecture 32: |
Optimization (Section 5.4): pp. 242-253 of our textbook November 6, 2023 | ||
|
Lecture 33: |
L'Hôpital's rule (Section 5.5): pp. 253-260 of our textbook November 8, 2023 | ||
|
Lecture 34: |
Difference equations: Stability (Section 5.7): pp. 271-279 of our textbook November 10, 2023 | ||
| |||
|
Lecture 36: |
Antiderivatives (Section 5.10): pp. 294-301 of our textbook November 15, 2023 | ||
|
Lecture 37: |
Antiderivatives (Section 5.10): pp. 294-301 of our textbook November 17, 2023 | ||
|
Lecture 38: |
optional lecture - there is no homework assignment associated to it A first look at differential equations (Section 5.9): pp. 285-294 of our textbook November 20, 2023 | ||
|
Lecture 39: |
The definite integral (Section 6.1): pp. 306-321 of our textbook November 27, 2023 | ||
| |||
|
Lecture 40: |
The definite integral (Section 6.1): pp. 306-321 of our textbook November 29, 2023 | ||
|
Lecture 41: |
The definite integral (Section 6.1): pp. 306-321 of our textbook December 1, 2023 | ||
|
Lecture 42: |
The Fundamental Theorem of Calculus (Section 6.2): pp. 322-334 of our textbook December 4, 2023 | ||
|
Lecture 43: |
The Fundamental Theorem of Calculus (Section 6.2): pp. 322-334 of our textbook December 6, 2023 | ||