AB Calculus - Winter 2011

Course Information Handout

Announcements

Our test over techniques of integration will run from Wednesday, February 22nd to Friday, February 24th.

Class Summaries

Date Assignment Description
Tues, 2/28 HW 68 Review problems from an old AP exam
Wed, 2/29   Work day
Thurs, 3/1   Have a great vacation!

Unit 5 - Areas and Integration

HW 36 - p 364/1a, 3, 4, 5ab
HW 37 - p 364/7, 8, 10ac
HW 38 - p 365/17, 20, 21, 23; p 377/21, 22; Handout - Limit Definition of Area
HW 39 - p 376/5, 8, 27, 33-35, 37, 41, 42, 46-50, 54
HW 40 - p 387/2, 3, 63; Handout - Integral Functions
HW 41 - p 387/7-9, 19, 21, 24, 25, 29, 30, 32, 74
HW 42 - p 387/11-13, 37-42, 59, 73
HW 43 - p 388/15-18, 43, 45, 53-55, 64, 72; p 397/5, 6, 9
HW 44 - p 388/46; p 397/11, 12, 17, 18, 42, 43
Review - p 409/True-False 1-8, 15; Exercises 1-14, 37-38, 43-48, 60, 65, 66, 68, 70

Mini-Unit 6 - Integration by Substitution

HW 45 - p 406/3-5, 9, 11-15
HW 46 - p 407/21, 30, 32, 35-37, 43, 44, 52, 63, 66, 75, 82
HW 47 - p 406/18, 39, 45, 53, 56, 73, 85, 86
Review Handout - Integration by Substitution (Answers)

Unit 7 - Applications of Integration

HW 48 - p 420/1-4, 10, 11, 17, 19, 21
HW 49 - p 431/58-62; p 421/27, 31, 49
HW 50 - p 430/1-3, 5, 7, 8
HW 51 - p 430/13, 27-31, 35, 43, 50
HW 52 - p 436/1, 5, 7, 15, 17, 19, 44
HW 53 - Read pp 443-4 (Mean Value Theorem for Integrals); p 436/37-40; p 445/5-7, 9, 10, 17
HW 54 - Handout: Cumulative Review #1
HW 55 - Read pp 221-3; p 230/1, 4-6; p 398/57, 59, 60
HW 56 - p 230/2; p 398/49, 51, 52, 58; Handout: Motion problem from an AP exam
HW 57 - Handout: Area, volume, and motion problems from an AP exam
Web demonstrations of volumes: known cross sections, discs, shells
Review - p 263/87-89; p 350/73-74; p 446/Concepts 1-4, 6; Exercises 1-26, 30, 32

Unit 8 - Techniques of Integration

HW 58 - p 457/1, 4, 7, 11, 13, 17, 22, 31, 59
HW 59 - p 457/33, 35, 38, 47, 50-52, 65, 66
HW 60 - Read pp 460-462; p 465/1, 3-8
HW 61 - Read pp 462-464; p 466/17, 24, 25, 31, 39, 40, 55
HW 62 - Read pp 469-70 Examples 3, 4; p 472/1, 7, 9, 15, 17, 27, 31a
HW 63 - p 481/9, 10, 12, 17, 49; Handout: AP review
HW 64 - p 481/8, 16, 21, 25
HW 65 - p 482/29, 31, 32, 51; Handout: AP review
HW 66 - Read p 509 (red box), p 513 (Ex. 7); p 515/2, 5, 11, 18, 29, 32, 41
Review - Read pp 483-8; p 488/1-79 (omit 31, 34-36, 40, 42, 44, 47, 49, 50, 53, 58, 63, 64, 66, 68, 75)

Unit 9 - Differential Equations

HW 67 - p 571/1, 4, 8bd, 9, 11, 13
HW 68 - Handout: AP review

Quizzes and Tests

Wed, Dec 14 Test Unit 5
Wed, Jan 11 Test Unit 6
Tues, Jan 31 Test Unit 7
Wed, Feb 22 Test Unit 8: similar to p 488/1-20; may also include an improper integral
Thurs, Feb 23 Test Unit 8: similar to p 488/21-30, 32, 33, 37-39, 41, 43, 45, 46, 48, 51; may also include an improper integral
Fri, Feb 24 Test Unit 8: similar to p 489/52, 54-57, 59-62, 65, 67, 69-74, 76-79; may also include an improper integral