Math 122 - Overview of Calculus (Fall 2016)

Instructor: Ben McMillan
Email: bmcmillan@math.stonybrook.edu
Locataion: TuTh 10:00am-11:20am in Javits lecture hall 102

Announcements

Course Information:

The course syllabus is here. Some critical points:

Schedule and Homework:

The following is a tentative schedule for the course. As homework is assigned it will be posted here. Homework is due to your TA at the beginning of section the following week. You are responsible for your own homework---mathematics takes practice, and if you find ways to avoid it you will have a hard time on the tests.

Unless stated otherwise, the homework is from the corresponding section of the book. E.g., your first homework is problems 1,4, 11, etc. from section 1.1. All of the problems assigned in week n are due to your TA (at the start of recitation) in week n+1.

For each homework you turn in, please write an estimate of how long it took you at the top of the page.

Week Date Topic(s) Covered Reading Homework
18/30FunctionsSection 1.11.1: 1, 4, 11, 13, 28, 35, 36
9/1Linear functions,
Applications to economics
Section 1.2,
Section 1.4
1.2: 4, 5, 9, 12
1.4: read pages 28-30, do problem 19
2 9/6Labor Day, no class!.Have a good break!
9/8Average rate of changeSection 1.31.3: 1, 2, 3, 4, 5, 6, 9, 12, 24, 34, 38, 40
3 9/13Exponential functionsSection 1.5 1.5: 2, 3, 4, 11, 27, 29, 33
9/15The natural logarithm
Applications of exponentials
Section 1.6,
Section 1.7
1.6: 8, 15, 22, 23, 25, 40, 48
1.7: 2, 3, 10, 11, 15, 21
4 9/20Function composition, scaling, shiftingSection 1.81.8: 4, 3, 6, 11, 17, 23, 31, 37, 38, 39, 41
9/22Polynomials, 1/xSection 1.91.9: 1, 2, 4, 5, 8, 13, 17, 19, 27
5 9/27Review!Chapter 1Study
9/29Midterm 1Chapter 1None
6 10/4Instantaneous rate of changeSection 2.12.1: 1, 4, 6, 11, 14, 15
10/6Limits"Focus on theory" (Pages 131-135)Page 135: 1, 2, 3, 5, 7, 19, 22
7 10/11More aspects of the derivativeSection 2.12.1: 17, 18, 22
10/13The derivative of a function is a functionSection 2.2
Section 2.3
2.2: 1, 7, 8
2.3: 1, 3, 11, 17
3.1: 1, 2, 4, 7, 11, 25, 51, 53
8 10/18Graphing derivativesSection 2.2
Section 2.4
2.2: 2, 5, 6, 7, 9, 18, 19, 20, 21, 25, 26
2.4: 1, 4, 7, 10, 11, 26
10/20More on calculating derivativesSection 3.1
Section 3.2
3.1: 6, 11, 13, 15, 23, 32, 27, 47
3.2: 2, 5, 11, 23, 37
9 10/25The product ruleSection 3.43.4: 2, 3, 7, 13, 14, 17, 22, 25, 42
10/27The chain ruleSection 3.33.3: 1, 2, 4, 8, 11, 13, 14, 22, 34
10 11/1ReviewChapters 2 & 3.
11/3Midterm 2
11 11/8Local maxima and minimaSection 4.14.1: 1, 3, 4, 7, 14, 15, 17, 21
11/10AntiderivativesSection 6.26.2: 15, 19, 23, 40, 43, 51, 55, 59
12 11/15More antiderivatives, propertiesSection 6.26.2: 1, 3, 8, 9, 12, 26, 31, 36, 45, 49, 53, 59, 65, 71
11/17The Fundamental Theorem of Calculus, Graphs of antiderivativesSection 6.3
Section 6.1
6.3: 1, 3, 7, 13, 21, 29
6.1: 5, 7, 11, 17, 18
13 11/22The integral is an antiderivativeSection .
11/24Thanksgiving break, no class!
14 11/29Integration by partsSection 6.71, 4, 7, 10, 11, 22, 23, 24
12/1Integration by substitutionSection 6.67, 11, 14, 19, 21, 29, 51, 53
15 12/6Integrals as areasSection 5.3.
Previous Quizzes:

Quiz 1

Quiz 2

Quiz 3

Quiz 4

Quiz 5

Quiz 6

Quiz 7

Quiz 8

Solutions!