105L Syllabus Spring 2020

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Homework should be completed following the class on that day, before the next class. For example, Day 1-1 (08/26/19) homework should be completed before Day 1-2 (08/28/19). It is suggested that homework be done the day it is covered in class.

Exception: Review day homeworks should be completed before that review day.

Notation like ‘1.5/2, 4, 6’ refers to chapter 1.5 of the textbook, questions 2, 4, and 6. ‘Chapter 3 Review’ refers to the review questions at the end of Chapter 3 of the textbook.

All homework from the textbook has solutions that can be found on Sakai under ‘Resources’ -> ‘Textbook Solutions’.

Day Date Textbook Section Topic Homework
1-1 08/26/19 Course Expectations, Precalculus Concept Assessment Pre-Lab 1: Spreadsheet Training for Labs (Sakai)
1-2 08/28/19 Algebra Review, Writing in Mathematics Complete in-class worksheet
Online Writing Assessment (Sakai)
(must be done before lab)
Read this first!
Lab 08/29/19 Cancer Mortality
1-3 08/30/19 Introduction to Modeling 1.1/5, 7, 10-13
Complete in-class worksheet
2-1 09/02/19 1.1 Functions 1.1/1, 3, 20-23, 39, 44-48
Chapter 1 Review/9
Extra homework problems from in-class worksheet
2-2 09/04/19 1.1 Linear Functions 1.1/15-19, 27-31, 43, 57, 60
Extra homework problems from in-class worksheet
Lab 09/05/19 Linear Modeling
2-3 09/06/19 1.6 Power Functions & Polynomials 1.6/4, 6, 17-19, 23, 31-34, 39-42
(39-41: You may assume that a quadratic function reaches its max or min half way between its zeros)
Extra homework problems from in-class worksheet
3-1 09/09/19 1.6 Rational Functions 1.6/7-9, 28, 37, 43, 44, 49
Chapter 1 Review/73
Extra homework problems from in-class worksheet
3-2 09/11/19 1.3 New Functions From Old 1.3/4-7, 12-17, 22, 28-32, 34
Extra homework problems from in-class worksheet
Lab 09/12/19 Exploring Limits
3-3 09/13/19 2.1 Rate of Change 2.1/1, 4, 5, 8, 11-14, 16, 18-23.
4-1 09/16/19 2.2 Derivative at a Point 2.2/1, 6, 9-12, 14-19, 27, 41, 43, 46, 47, 50
begin 5-2 review.
4-2 09/18/19 Catch Up Day
Lab 09/19/19 Strategies for Buying Stock
4-3 09/20/19 1.7, 1.8 Limits and Continuity 1.7/1-6, 15, 20, 31, 37
1.8/1, 29-31, 39, 41, 64, 66, 69
Chapter 1 Review/77.
5-1 09/23/19 2.3 The Derivative Function 2.3/3, 5, 7, 21, 26-28, 31, 35-38, 40, 43, 48, 54
finish 5-2 review
5-2 09/25/19 Review Chapter 1 Review: 11(a-f), 28, 31, 34, 35, 37, 38, 42-45, 47, 58, 71 (Hint for 35: y is not a function of x, but x is a function of y…)
Chapter 2 Review: 6, 13, 15, 20, 31, 32, 34, 43, 44, 46, 49, 50
1.7/21
1.1/40
1.6/35
Lab 09/26/19 Test 1
5-3 09/27/19 2.4 Interpretations of the Derivative 2.4/1, 3, 4, 6-9, 11, 12, 22, 26, 28, 32
Chapter 2 Review/55
6-1 09/30/19 2.5 The Second Derivative 2.5/2-13, 16, 18, 19, 24, 26, 31
Chapter 2 Review/56
6-2 10/02/19 2.6 Differentiability 2.6/1-5, 8-10, 16.
Lab 10/03/19 3.1 Sum, Difference & Power Rules 3.1/1, 2, 6, 8, 10, 11, 16, 21, 23, 25, 27, 35, 42, 57, 58, 61, 63, 70, 75, 78
Chapter 3 Review/82
6-3 10/04/19 3.2 Product and Quotient Rules 3.3/1, 13, 14, 18, 21, 22, 28, 31-33, 44, 45, 52, 56, 57, 61, 62
Chapter 3 Review/3, 65
7-1 10/07/19 Fall Break
7-2 10/09/19 Compound Interest Complete in-class worksheet
Lab 10/10/19 1.3 Inverse Functions 1.3/19, 20, 23, 24, 42-46, 56, 63, 66
7-3 10/11/19 1.2 Exponential Functions 1.2/9, 12, 15, 16, 19, 25, 31-34, 40-42. (Hint for 34: see Day 3-2, ‘New Functions from Old’, and think about flipping and shifting graphs.)
8-1 10/14/19 1.4 Logarithms 1.4/1-10, 14-21, 24, 30, 31, 55, 32, 39, 63
Chapter 1 Review/61, 64
Extra homework problems from in-class worksheet
8-2 10/16/19 3.2 Composition 1.3/13, 15-17, 64, 68
Complete In-Class Worksheet
Lab 10/17/19 Log Plots
8-3 10/18/19 1.3 Chain Rule 3.4/4, 10, 23, 26, 38, 47, 51, 53, 57-65, 75-77, 79, 80, 94
Extra homework problems from in-class worksheet
Begin 10-2 review.
9-1 10/21/19 3.4 Differentiating Exponential Functions 3.2/1, 6, 8, 9, 13-15, 19, 21, 23, 24, 43, 44
3.3/6, 10, 25, 55, 58.
9-2 10/23/19 3.7 Implicit Differentiation I 3.7/1, 3, 9-12, 19, 20, 22, 26, 30, 31-36, 40
Lab 10/24/19 Implicit Differentiation II
9-3 10/25/19 3.6 Differentiating Logarithmic Functions 3.6/9-11, 14, 15, 29, 36, 38, 43, 45, 46, 49
3.7/13, 14, 27 Chapter 3 Review/53
finish 10-2 review.
10-1 10/28/19 3.9 Linear Approximations 3.9/1-3, 5-8, 14, 15, 25, 26, 38.
10-2 10/30/19 Review 1.2/41
1.4/34, 49
Chapter 1 Review/59, 60
2.4/17, 18
Chapter 2 Review/17, 41, 54, 60, 62
3.1/24, 67
3.3/17
3.7/37, 41
Chapter 3 Review/5, 13, 19, 23, 38, 45, 74, 76, 93, 94 95(a-d, f), 96(a-d, f), 106
Worksheet 10-2
Lab 10/31/19 Test 2
10-3 11/01/19 4.1 Using 1st & 2nd Derivatives 4.1/1-3, 9-15, 24-26
11-1 11/04/19 4.1 Using 1st & 2nd Derivatives 4.1/20-22, 27-31, 33, 34, 37, 38, 40, 43-46, 48.
11-2 11/06/19 4.2 Optimization 4.2/11, 12, 15, 26, 29, 31
4.3/50, 52
Lab 11/07/19 Derivatives and Roots
11-3 11/08/19 4.3 Optimization 4.3/17, 33, 39, 41, 42, 46
Chapter 4 Review/67, 69, 71
12-1 11/11/19 4.7 L’Hôpital’s Rule 4.7/1-3, 6-8, 10, 11-19, 25-28, 31
Extra Homework Problems from In-Class Worksheet
12-2 11/13/19 4.3 Optimization 4.3/23
Complete In-Class Worksheet
Lab 11/14/19 Relative Rates of Growth, Differentiation Practice
12-3 11/15/19 Review Chapter 4 Review/1-3, 6, 8, 9, 12, 13-24, 29-32, 39-45, 47-51, 56, 62, 64-66, 69-72, 80
13-1 11/18/19 Test 3 Part 1
13-2 11/20/19 Probability I Homework Problems from In-Class Worksheet
Lab 11/21/19 Probability II Homework Problems from In-Class Worksheet
13-3 11/22/19 Probability III Homework Problems from In-Class Worksheet
14-1 11/25/19 Catch Up Day
14-2 11/27/19 Thanksgiving Break
Lab 11/28/19 Thanksgiving Break
14-3 11/29/19 Thanksgiving Break
15-1 12/02/19 4.6 Related Rates 4.6/1, 3, 5, 11, 15, 21, 30, 34, 35, 41
15-2 12/04/19 4.6 Related Rates 4.6/13, 26, 28, 29, 33, 34, 38
Lab 12/05/19 Review Rework related rates + probability
Chapter 4 review/48-51, 79-81, 88-98, 100, 101
4.6/27
15-3 12/06/19 Test 3 Part 2 – Related Rates/Probability