### Math 132 - Calculus II - Course Outline (Fall, 2017)

This is a tentative outline for the course and will be updated weekly.

 Date Topics Aug 25 Review on integration: (5.3), (5.4) (1) basic antidifferentiation formulas      - Table of Indefinite Integral on Page 403 (2) the fundamental theorem of calculus: Part II Lecture on Substitution: (5.5) (3) substitution technique   Worksheet 1 `Homework 1:`` ``Online: - due Sept 15``Section 5.5: ``Page 418: ``3, 5, 13, 17, 21, 23, 25, 28, 34, 35, ` 38, 39, 40, 41, 44, 45, 53, 60, 62, 67   `Turn in – due Aug 29``Page 418:  8, 14, 28 ``Solutions`` ` ` ` Aug 28 Lecture on Substitution: (5.5) `Homework 2:`` ``Online: - due Sept 15``Section 5.5: ``Page 418:` 3, 5, 13, 17, 21, 23, 25, 28, 34, 35, 38, 39, 40, 41, 44, 45, 53, 60, 62, 67   `Turn in – due Aug 30``Page 418:  18, 34, 42, 44 ``Solutions`` ` Aug 29 `Areas between curves (6.1)` `Homework 3:`` ``Online: - due Sept 15``Section 6.1: ``Page 434:` 1, 2, 3, 4, 9, 11, 12, 19, 21, 24, 27, 41   `Turn in – due Sept 1``Page 434:  8, 12, 28``Solutions  ` Aug 30 `Quiz 1 on Section 5.5 Substitution``Solutions`` ``Areas between curves (6.1)` Lecture Notes Sept 1 Volumes (6.2) (1) volumes: slicing method (2) disc and washer  Lecture Notes (get a copy here) `Homework 4:`` ``Online: - due Sept 15``Section 6.2: - Page 446 ``3, 5, 7, 9, 11, 13, 14, 15, ``23, 25, 28,``54, 55, 56, 57, 58 `   `Turn in – due Sept 5``Page 446: 8, 12, 14, 24, 28``For each problem, ``(1) sketch the region,``(2) sketch one cross-section,``(3) give the area of the cross-section in terms of x or y, and``(4) set up a definite integral that gives the volume.``Solutions  `` `` ``Turn in – due Sept 15` Page 446: 56, 58 `For each problem, ``(1) sketch the region of the base,``(2) sketch one cross-section,``(3) give the area of the cross-section in terms of x or y, and``(4) set up a definite integral that gives the volume.` Sept 4 Quiz 2 on 5.5 Substitution `Solutions`   Volumes (6.2) (1) volumes: slicing method (2) disc and washer  Lecture Notes (get a copy here) Sept 5 Volumes by Cylindrical Shells (6.3) Lecture Notes (get a copy here ) `Homework 5:`` ``Online: - due Sept 18``Section 6.3: - Page 453 ``2, 5, 7, 8, 15, 17, 19, 23, 25`   `Turn in – due Sept 15``Page 453: 6, 10``For each problem, ``(1) sketch the region,``(2) sketch one cross-section,``(3) give the area of the cross-section in terms of x or y, and``(4) set up a definite integral that gives the volume.``Solutions`` ``Turn in – due Sept 18` Page 453: 14, 18 `For each problem, ``(1) sketch the region of the base,``(2) sketch one cross-section,``(3) give the area of the cross-section in terms of x or y, and``(4) set up a definite integral that gives the volume.` Sept 6 Quiz 3 on Section 6.1 `Solutions`   Volumes by Cylindrical Shells (6.3) Sept 8- 13 Evacuation for Irma Sept 15 Average Value of a Function (6.5) Lecture Notes  (get a copy here) `Homework 6:`` ``Online: - due Sept 22``Section 6.5: - Page 463 ``4, 5, 6, 7, 8, 9, 11, 14, 16, 17`   `Turn in – due Sept 20``Page 463: 6, 10, 20` Sept 18 Quiz 4 on Section 6.2 Solutions   Review for Hour Exam 1: Section 5.5, 6.1, 6.2, 6.3, 6.5 Sept 19 Quiz 5 on Section 6.3 Solutions   Integration by parts (7.1) Sept 20 Integration by parts (7.1) `Homework 7:`` ``Online: - due Sept 28``Section 7.1: - Page 476``1,3, 5 ,7,9,11,15,17,19,26,28,39 `   `Turn in – due Sept 26` Page 476: 4, 6, 20, 26 For each problem, specify first u, du, dv and v. Solutions     `Turn in – due Sept 27` Page 476: 12, 22, 32, 18 For each problem, specify first u, du, dv and v. Solutions Sept 22 Hour Exam 1: Section 5.5, 6.1, 6.2, 6.3, 6.5 Sept 25 Integration by parts (7.1) Sept 26 Trigonometric Techniques of Integration (7.2) `  (1) Integrals involving sinm(x)cosn(x)``  (2) Integrals involving tanm(x)secn(x)` `Homework 8:`` ``Online: - due Oct 3``Section 7.2: - Page 484``1, 2, 3,7, 10, 11, 21,23, 25,27, ``29, 31, 41, 43 `   `Turn in – due Sept 29` Page 484: 2, 6, 10, 22 For each problem, specify first u, du Solutions     `Turn in – due Oct 3` Page 484 : 14. 18, 42, 28, 32  For each problem, specify first u, du Solutions Sept 27 Trigonometric Techniques of Integration (7.2) Sept 29 Quiz on Section 7.1 Solutions   Trigonometric Substitute (7.3) Lecture Notes `Homework 9:`` ``Online: - due Oct 10``Section 7.3: - Page 491``2, 3, 4, 9, 12, 13, 19, 21, 22, 37`   `Turn in – due Oct 4` Page 491: 4, 8, 12 For each problem, specify first the substitution for x. Solutions     `Turn in – due Oct 6` Page 491: 5, 22, 38  For each problem, specify first the substitution for x. Solutions Oct 2 Trigonometric Substitute (7.3) Oct 3 Trigonometric Substitute (7.3) Oct 4 Integration of rational functions  (7.4) (1) partial fractions decomposition (2) integration of rational functions Lecture Notes `Homework 10:`` ``Online: - due Oct 12``Section 7.4: - Page 501``2, 4, 9, 12, 19, 23, 24, 26, 31, 32`   `Turn in – due Oct 9` Page 501: 12, 16     `Turn in – due Oct 11` Page 501: 24, 28, 32 Oct 6 Quiz on Section 7.2 Solutions   Integration of rational functions  (7.4) Oct 9 Integration of rational functions  (7.4) Oct 10 Quiz on Section 7.3 Solutions   Indeterminate Forms (4.4) `Homework 11:`` ``Online: - due Oct 17``Section 4.4: - Page 311``13, 19, 20, 25, 27, 31, 32, 33, `   `Turn in – due Oct 9` Page 501: 12, 16     `Turn in – due Oct 11` Page 501: 24, 28, 32 Oct 11 Integration of rational functions  (7.4) Oct 13 Indeterminate Forms and L’Hospital   Lecture Notes `Homework 12:`` ``Online: - due Oct 20``Section 4.4: - Page 311``13, 19, 20, 25, 27, 31, ``32, 33, 41, 47, 51, 52, 56, 58, ``59, 63, 69`   Turn in – due Oct 16 Page 311: 18, 22, 25 (show your work)     `Turn in – due Oct 20` Page 311: 32, 40     Turn in – due Oct 23 Page 311 : 54, 56, 58, 64 Oct 16 Quiz on Section 7.4 Solutions     Review for Hour Exam 2: Section 7.1-7.4, 4.4 (part 1, 0/0, inf/inf) Oct 17 Hour Exam 2: Section 7.1-7.4, 4.4 (part 1) Oct 18 Indeterminate Forms and L’Hospital (0^0. 1^inf,  inf^0) Oct 20 Improper Integrals (7.8) Nov 10 10am   5pm Dec 1 10am   5pm Dec 8 5:30pm-8:30pm:  Final Exam