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 Exam 1   Solutions 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 24 Page 311 : 54, 56, 58, 64  Solutions 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) Exam 2   Solutions Oct 18 Leadership Day Oct 20 Indeterminate Forms and L’Hospital (0^0. 1^inf,  inf^0)   Improper Integrals (7.8)   Gateway Exam for Integration Techniques `Homework 13:`` ``Online: - due Oct 30``Section 7.8: - Page 534``5, 6, 9, 13, 14, 15, 21, 23, 31,``32, 35`   Turn in – due Oct 25 Page 534: 6, 14     `Turn in – due Oct 27` Page 534: 22, 24, 28, 32 ` ` Oct 23 Improper Integrals (7.8) Lecture Notes ` ` Oct 24 Improper Integrals (7.8) ` ` Oct 25 Arc Length (8.1) Lecture Notes `Homework 14:`` ``Online: - due Nov 3``Section 8.1: - Page 548``7, 9, 13, 19, 21`   Turn in – due Oct 31 Page 548: 4, 14, 20 ` ` Oct 27 Arc Length (8.1)   Surface Area of a Region Obtained by Rotating a Curve about the x-axis and y-axis  (8.2) Lecture Notes Oct 30 Quiz on Section 4.4 Solutions     Surface Area of a Region Obtained by Rotating a Curve about the x-axis and y-axis  (8.2) Lecture Notes `Homework 15:`` ``Online: - due Nov 6``Section 8.2: - Page 555``5, 7, 8, 10, 13, 15, 27, 28`   Turn in – due Nov 3 Page 555: 8, 14, 18, 28 Solutions Oct 31 Surface Area of a Region Obtained by Rotating a Curve about the x-axis and y-axis  (8.2) Nov 1 `Quiz on 7.8` Solutions ` ``Moments and Center of Mass (8.3)``(1) moments of the system about the y-axis and x-axis``(2) the centroid: the center of mass of a plate` Lecture Notes `Homework 16:`` ``Online: - due Nov 8``Section 8.3: - Page 565``25, 27, 29, 31, 32`   Turn in – due Nov 7 Page 565: 26, 28, 32 Nov 3 `Moments and Center of Mass (8.3)``(1) moments of the system about the y-axis and x-axis``(2) the centroid: the center of mass of a plate` Nov 6 Review for Hour Exam 3: Sections 4.4, 7.8, 8.1-8.3   Sequences and series (11.1) (i) definition of a sequence (ii) limit of a sequence (iii) convergence and divergence of a sequence Lecture Notes Nov 7 Hour Exam 3: Section 4.4, 7.8, 8.1-8.3 Formulas for Exam 3   Exam 3   Solutions `Homework 17:`` ``Online: - due Nov 16``Section 11.1: - Page 704` 5, 9, 15, 23, 29, 30, 33, 37, 38, 41, 42, 47, 49, 55 Turn in – due Nov 10 Page 704: 6, 10, 14, 16   Turn in – due 14 24, 30, 36, 48, 52, 56 Nov 8 Sequences and series (11.1) ` ` Nov 10 Sequences and series (11.1) Nov 13 Series (11.2) `(1) infinite series``(2) partial sums of a series``(3) convergence of a series defined by the limit of the sequence of partial sums``(4) geometric series:``(5) the nth-term test for divergence``(6) properties of convergent series``(7) harmonic series``Lecture Notes`   Summary on Sequence and Series `Homework 18:`` ``Online: - due Nov 27``Section 11.2: - Page 715:` 3, 15, 18, 19, 22, 23, 31, 37, 39, 41, 43, 44, 45, 52, 53, 57   Turn in – due Nov 16 Page 715: 12, 18, 22, 26, 44, 46 Solutions Nov 14 Series (11.2) Nov 15 Quiz on Section 11.1 Solutions   Section 11.3 Integral Test and Estimates of Sums Lecture Notes `Homework 19:`` ``Online: - due Nov 28``Section 11.3: - Page 725:` 7, 8, 11, 14, 15, 17, 21, 25, 35, 37, 39   Turn in – due Nov 17 Page 725: 8, 14, 22, 26 Solutions   Turn in – due Nov 27 Page 725: 36, 38 Solutions Nov 16 Noon 12: Section 11.3 Nov 17 Quiz on Section 11.2 Solutions   Section 11.4 Comparison and Limit Comparison Tests Lecture Notes Nov 27 Section 11.4 Comparison and Limit Comparison Tests   Section 11.5 Alternating Series Lecture Notes `Homework 20:`` ``Online: - due Dec 4``Section 11.4: - Page 731:` 5, 7, 15, 17, 19, 20, 23, 28   Turn in – due Nov 29 Page 731: 8, 14, 26, 28 Nov 28 Section 11.5 Alternating Series `Homework 21:`` ``Online: - due Dec 5``Section 11.5: - Page 736:` 4, 6, 7, 11, 13, 19, 23   Turn in – due Dec 1 Page 736: 8, 12, 22 Nov 29 Quiz on Section 11.3 Solutions   Section 11.6 Absolutely Convergence and Ratio Test Lecture Notes `Homework 22:`` ``Online: - due Dec 6 ``Section 11.6: - Page 742:` 1, 2, 3, 4, 7, 8, 9, 19, 13, 18, 23   Turn in – due Dec 4 Page 742: 2, 4, 8, 14 Dec 1 10am Section 11.8 Power Series Lecture Notes   5pm Section 11.9-10 Power Series Representation and Taylor Series Lecture Notes   Power Series and Taylor Series formulas `Homework 23:`` ``Online: - due Dec 7 ``Section 11.8: - Page 751:` 3, 4, 5, 6, 7, 14, 16, 17   Turn in – due Dec 5 Page 751: 4, 6, 12, 16   `Homework 24:`` ``Online: - due Dec 8 ``Section 11.9: - Page 757:` 3, 7, 8, 13, 15, 16, 17, 23, 25, 27   Turn in – due Dec 7 Page 757: 8, 16, 22, 32   `Homework 25:`` ``Online: - due Dec 8 ``Section 11.10: - Page 771:` 12, 14, 22, 23, 35, 39, 43, 45, 55   Turn in – due Dec 8 Page 771: 16, 40, 48, 54 Dec 4 Review for Hour Exam 4 – Section 11.1-11.6, 11.8 Dec 5 Hour Exam 4 – Sections 11.1-11.6, 11.8 Exam 4   Solutions Dec 6 Review for Final Exam Final Exam Dec 8: 5:30pm-8:30pm or Dec 11: 1pm-4pm