Math 151: Differential CalculusWinter 2012 |
Contents
- Syllabus (Word)
- Calendar (Excel)
- To purchase Webassign online
- WebAssign Quick Start Guide
- Honors Option (example 1 and example 2)
- AMATYC Math Competition
| Topic | Handouts | Reading Guides | Lectures Notes |
| Ch 1: Review | |||
| Ch 2: Limits and Derivatives |
2.1: Tangents (notebook) 2.2: Limit Animations (notebook)2.3: Limit Laws 2.4: Epsilon Delta (notebook) 2.5: Continuity (notebook) 2.7: Difference Quotient (notebook) 2.8: Derivative (notebook) |
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| Ch 3: Differentiation Rules |
3.3: Derivative of Sine (notebook) 3.7: Caterpillar motion 3.9: Related Rates (notebook and workalong) |
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| Ch 4: Applications of Differentiation |
4.2: MVT (notebook) 4.6: Calc with Calculators (notebook) 4.7: Optimization and the Beach 4.7: Finding the minimum distance exactly 4.7: The Quadratic and Cubic Equation 4.8: Newton's Method (notebook) |
| Topic | Review | Test Key |
| Group Quiz 1 | ||
| Group Quiz 2 | ||
| Group Quiz 3 | ||
| Group Quiz 4 | ||
| Group Quiz 5 | ||
| Group Quiz 6 | ||
| Test 1 | ||
| Test 2 |
Review for Test 2 |
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| Final Exam | Review for Final Exam |
Videos provided thru Princeton University Press (here) are based on another text from that used at Highline
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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 |