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

Course Information      Math Resource Center     Academic Calendar

Calculus resources:  Gregory Naber’s lecture notes.

Program Outline

 Sep 26.   Course overview. 6.1, 6.4.  Reuleaux Triangle. Riemann sums.

                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.

                A handout on inverse trigonometric functions.

                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.

                Solutions.

                

 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.

                Solutions.

 

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.

                Please arrive by 12:50pm.