# Math 122 - Calculus II

TR 2-3:50 pm, room 411 Matheson

Instructor: Anatolii Grinshpan
Current office hours: TR 4-5:30 or by appointment, 270 Korman

Calculus resources:  Gregory Naber’s lecture notes.

Program Outline

Sep 26.   Course overview. 6.1, 6.4.

Page 354: 1-17 (odd numbers), 23, page 384: 31-34.

Sep 28.   Antiderivatives: 6.2.

Page 363:  1-30,  47.

Oct 3.     Taking integrals by substitution: 6.3.

Page 371: 1,  9-30.

Oct 5.     Definite Integrals: 6.5

Page 394: 11-30.

Oct. 10.  The Fundamental Theorem of Calculus: 6.6.

Page 406: 1-27, 31.

Oct.12.   The Fundamental Theorem of Calculus (continued).

Substitution in definite integrals.

Differentiation of integrals with variable limits.

Page 423: 1-18,  29-40.

Oct. 17.   Differentiation of  integrals.

Rectilinear motion via integration.

Page 416: 1-4, 5-16(odds), 30, 32.

Oct. 19.   Logarithmic functions via integration.

Review.

Page 434: 11, 15-18, 21-29

Oct. 24.   Exam 1. The test will cover Chapter 6, 50 minutes in duration.

Expect 4 questions (a question may consist of several parts) focusing on the homework.

Oct. 26.   Area between curves.

Page 448:  1-18, 31.

Oct. 31.  Computation of volumes. Disk method and shell method.

Page 456:  1-25 (odds), 49. Page 464: 1-15 (odds).

Nov. 2.    Volumes of solids of revolution. Arc length.

Page 469: 1-14.

Nov. 7.     Arc length. Surface area. Average value of a function.

Page 474: 1-8. Page 479:  1-14 (odds).

Nov.  9.   Surface area. Work and Energy.

Page 488:  1-10 (odds).

Nov. 14.   Work and Energy. Hyperbolic functions. Review.

Page 505: 31-45 (odds).

Nov. 16.   Exam 2. The test will cover Chapter 7 (except Section 7.8) and will be 50 minutes in duration.

It will contain 4 questions (a question may consist of several parts) focusing on the homework.

Nov. 21.   Inverse hyperbolic functions. Integration by parts.

Page 520: 1-20.

Nov. 23.   Thanksgiving.

Nov. 28.   Trigonometric integrals. Trigonometric substitutions.

Nov. 30.   More on trig. integrals and substitutions. Partial fractions.

Page 529: 11-33 (odds),  page 535: 1-11 (odds),  23, 25.

Dec. 5.      Integrals via partial fractions.

Page  543: 1-20.

Dec. 7.     Improper integrals.

Page 576: 1-4, 18, 19.

Dec 15.   Final Exam 1-3pm, 405 Matheson.

Material:  parts of Chapter 6, Chapter 7, Chapter 8 covered in class.

Focus on the homework, in-class examples, quizzes, and midterm questions.