Math 104

University of British Columbia

Section 107 Winter 2012 Term 1

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Lectures

This is where I will post lecture files as the course progresses. I will try to post the lectures relatively soon after I have given them. I HIGHLY encourage you to do as many of the suggested problems as possible. In order to view lectures you will require a PDF viewer. Problems with a * are eligible quiz problems and problems with a ^ are problems that were on previous quizzes. Please note that the posted problems are to be completed after the lecture material has been covered.

Week 0 [Show]

Week 0 [Hide]

Date Section Lecture Comments and Suggested Homework
Sept 6, 2012 1.3 1.3 Inverse, Exponential, and Logarithmic Functions 1.3: 3, 5, 11^, 23, 33, 34, 35, 36, 41, 42, 43, 44, 58, 59, 60, 61, 67, 70, 79^

Week 1 [Show]

Week 1 [Hide]

Date Section Lecture Comments and Suggested Homework
Sept 11, 2012 2.1 2.1 The Idea of Limits 2.1:3, 4, 5, 6, 8^, 16, 21
Sept 13, 2012 2.2 2.2 Definition of Limits 2.2:2^, 5, 10, 12, 18, 23^ ,35^

Week 2 [Show]

Week 2 [Hide]

Date Section Lecture Comments and Suggested Homework
Sept 18, 2012 2.3 2.3 Techniques for Computing Limits 2.3:5, 10, 24, 27, 32, 38, 44, 64
Sept 20, 2012 2.6 2.6 Continuity 2.6:8, 10, 16, 21, 33, 50, 55, 74

Week 3 [Show]

Week 3 [Hide]

Date Section Lecture Comments and Suggested Homework
Sept 25, 2012 3.1
3.2
3.1 Introducting the Derivative
3.2 Rules of Differentiation
3.1:2, 12, 21, 41, 44, 55, 58, 71
3.2:19-24, 28, 33, 36, 38, 41, 50, 58, 68, 75
Sept 27, 2012 3.3
3.4
3.3 The Product and Quotient Rules
3.4 Derivatives of Trigonometric Functions
3.3:7-12, 13, 21, 25, 28, 43, 46, 51, 52, 62, 72, 75, 77
3.4:6, 15-22, 34, 50, 54

Week 4 [Show]

Week 4 [Hide]

Date Section Lecture Comments and Suggested Homework
Oct 2, 2012 3.5 3.5 Derivatives as Rates of Change 3.5:7, 10, 11, 12, 20, 21, 29, 35, 36, 40, 41
Oct 4, 2012 3.6 3.6 The Chain Rule 3.6:2, 4, 5, 6, 17-28, 29, 30, 32, 40, 41^, 42, 57, 59, 60, 66^, 71, 77^, 78

Week 5 [Show]

Week 5 [Hide]

Date Section Lecture Comments and Suggested Homework
Oct 9, 2012 3.7 3.7 Implicit Differentiation 3.7:2, 3, 8, 10, 14, 20^, 23, 24, 47, 50^, 52, 54, 55, 62^, 68, 69
Oct 11, 2012 3.8 3.8 Derivative of Logarithmic and Exponential Functions 3.8:1, 2, 6, 10, 12, 15, 36, 39, 42, 47, 50, 79, 87

Week 6 [Show]

Week 6 [Hide]

Date Section Lecture Comments and Suggested Homework
Oct 16, 2012 -- Price Elasticity of Demand Elasticity Problems(Solutions)
Oct 18, 2012 -- Compound Interest and Exponential Models 6.8:1, 10, 11, 13, 16, 25, 30, 38,Compound Interest Problems (2^,4^,6^ from Compound Interest Problems)(Solutions)

Week 7 [Show]

Week 7 [Hide]

Date Section Lecture Comments and Suggested Homework
Oct 23, 2012 3.10 3.10 Related Rates 3.10:3, 6, 11, 13, 16, 18, 23, 38, Business Related Rates Problems(Solutions)
Oct 25, 2012 4.1 4.1 Maxima and Minima 4.1:1, 4, 5, 7, 8, 10, 13, 14, 20^, 24, 26, 27^, 29, 44, 46^, 50, 53, 54, 58, 71

Week 8 [Show]

Week 8 [Hide]

Date Section Lecture Comments and Suggested Homework
Oct 30, 2012 4.2 4.2 What Derivatives Tell Us 4.2:1, 2, 3, 12, 16, 22, 30, 32, 36, 37, 40, 48, 50, 54, 56, 60, 62, 77, 78, 80
Nov 1, 2012 2.5 2.5 Limits at Infinity 2.5:22, 24, 38, 39, 43, 54

Week 9 [Show]

Week 9 [Hide]

Date Section Lecture Comments and Suggested Homework
Nov 6, 2012 4.3 4.3 Graphing Functions 4.3:2, 3, 8, 14, 19, 22, 26, 31, 32, 42, 43, 64
Nov 8, 2012 Review

Week 10 [Show]

Week 10 [Hide]

Date Section Lecture Comments and Suggested Homework
Nov 13, 2012 4.4
Nov 15, 2012 4.4 4.4 Optimization Problems 4.4:2, 3, 4, 8, 11, 13, 15, 16*, 20, 23*, 25, 31*, 33, 48, 55, 57

Week 11 [Show]

Week 11 [Hide]

Date Section Lecture Comments and Suggested Homework
Nov 20, 2012 4.5 4.5 Linear Approximation and Differentials 4.5:Quick Checks:1-4, Problems:2, 3, 4, 9*, 10, 12, 16, 18*, 22, 25*, 26, 35, 39, 43, 45, 47
Nov 22, 2012 9.1 9.1 Approximating Functions with Polynomials 9.1:1,2, 6, 7, 9, 15, 19, 27, 33, 36, 37, 65

Week 12 [Show]

Week 12 [Hide]

Date Section Lecture Comments and Suggested Homework
Nov 27, 2012 3.9 3.9 Derivatives of Inverse Trig Functions 3.9:7-12, 20, 24
Nov 29, 2012 Final Exam Review Final Exam Review

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