Math 151: Calculus I
Spring 2015
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Videos provided thru Princeton University Press (here) are based on another text from that used at Highline. A more topical series can be found at the Khan Academy.
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Chapters / Sections |
Contents |
Streaming |
Download |
Download |
| Chapters 1 & 2 | Functions, trig | Video 1 | File 1 | File 1 |
| Chapters 3 & 4 | Limits: theory and polynomial examples | Video 2 | File 2 | File 2 |
| Chapter 5 & Sections 7.1.1 & 7.1.2 |
Continuity, differentiability, trig limits | Video 3 | File 3 | File 3 |
| Sections 7.1.3 & 7.1.4 Chapter 6 (except 6.6 & 6.7) Section 7.2, excluding 7.2.3 |
Trig limits (continued), how to solve differentiation problems, trig derivatives, simple harmonic motion | Video 4 | File 4 | File 4 |
| Chapter 8 | Implicit differentiation, related rates | Video 5 | File 5 | File 5 |
| Chapter 9 (except 9.6 & 9.7) Section 14.2 |
Exponentials, review of topics so far | Video 6 | File 6 | File 6 |
| Sections 10.1, 10.2 & 13.2 (except 13.2.4) |
Inverse functions, inverse trig functions, linearization | Video 7 | File 7 | File 7 |
| Section 13.2.2 Chapter 11 |
More on the differential, extrema, Rolle/Mean Value Theorem, critical points and the second derivatives (Note: The lecture stops suddenly but is made up at the beginning of the next video.) | Video 8 | File 8 | File 8 |
| Section 11.5 Chapter 12 |
Classifying critical points, sketching graphs | Video 9 | File 9 | File 9 |
| Sections 13.1 & 14.1 | Optimization, L'Hôpital's Rule | Video 10 | File 10 | File 10 |