C A L C U L U S II - S U M M E R II 2 0 1 6

LECTURES: Monday, Tuesday, Thursday 6:00pm-8:30pm, in PHO 210.

INSTRUCTOR: Solesne Bourguin, office hours Monday 5:00pm-6:00pm. You can also email me (bourguin@math.bu.edu) to set up an appointment.

TUTOR: Joe Hannon, office hours Tuesday 4:00pm-5:00pm, Wednesday 4:00pm-5:00pm in MCS 144. He is also available every day from 12:00pm to 4:00pm in the tutoring room MCS 144, so you can just drop by (but he might be busy with other students from other classes). His email address is hannon@math.bu.edu.

GRADERS: Varnica Bajaj (varnica@bu.edu) and Thao Nguyen (tdn96@bu.edu). Don't hesitate to contact them if you have questions.

COURSE DESCRIPTION:
In this class we shall continue the study of integration, in particular developing various techniques of integration as well as applications of integration. The remainder of the class will be devoted to sequences and series and an introduction to differential equations. Outline of topics to be covered: Integration, Applications of Integrals, Integration Techniques, Sequences and Infinite Series, Power Series, Differential Equations.

TEXTBOOK: Single Variable Calculus: Early Transcendentals, 2nd Edition, by Briggs, Cochran and Gillett Pearson 2015.

GRADING: problem sets (40%), midterm exam (20%) and a final exam (40%).

HOMEWORK: Every Thursday for the next Thursday. Late homeworks will not be accepted at all. See below table for assignments and due dates.

SCHEDULE OF EXAMS: The midterm exam will be held on Monday, July 25th from 6:00pm to 7:30pm and will cover all that has been done up to Tuesday, July 19th included. The (cumulative) final exam will be held on Thursday, August 11th from 6:00pm to 8:00pm in the usual classroom (PHO 210) and will cover everything that has been done in class. No documents or calculators will be allowed.

REVIEW EXERCISES.

Review Exercises for the Midterm.

Review Exercises for the Final.

PROBLEM SETS: The following table summarizes the homework assignments (to be found in the exercises sections of the textbook) and due dates (due in class, not in my office or mailbox). ** Please only hand in the exercises marked with a ^{*} sign**. You are strongly encouraged to also try to solve the other exercises not marked with a

Table of homework assignments | ||||
---|---|---|---|---|

Homework | Assignment | Due date | ||

HW #1 | §4.9: 27, 30^{*}, 36, 37, 42^{*}, 48^{*}. §5.1: 5, 13^{*}, 21, 34^{*}, 41(b), 62^{*}. §5.2: 16, 23^{*}, 45, 50^{*}, 78^{*}. §5.3: 17^{*}, 23, 38^{*}, 47, 58, 61, 64^{*}. |
Thursday, July 14th | ||

HW #2 | §5.4: 14^{*}, 23, 31^{*}. §5.5: 16, 20^{*}, 36, 51, 59^{*}, 82, 84^{*}. §7.1: 17, 30^{*}, 34^{*}, 38, 66. §7.2: 16, 26^{*}, 44^{*}, 57^{*}, 70. §7.3: 22^{*}, 27^{*}, 34, 51. §7.4: 30^{*}, 31^{*}, 44^{*}. §7.5: 30^{*}, 45^{*}, 64^{*}. |
Thursday, July 21st | ||

HW #3 | §7.7: 12^{*}, 17^{*}, 24, 32, 34^{*}. §7.8: 6, 17^{*}, 20^{*}, 35^{*}, 36^{*}, 39, 58^{*}. §7.9: 19, 24^{*}, 27^{*}, 31, 33^{*}, 36, 39. |
Thursday, July 28th | ||

HW #4 | §6.2: 8^{*}, 11, 25^{*}, 45, 52^{*}, 69. §6.3: 7^{*}, 10^{*}, 16, 19^{*}, 30^{*}, 35. §6.4: 5, 15^{*}, 43^{*}, 51. §8.1: 12, 20, 28^{*}, 37^{*}, 63^{*}, 73^{*}. |
Thursday, August 4th | ||

HW #5 | §8.2: 16, 22, 50^{*}, 57^{*}, 92, 105. §8.3: 26, 31^{*}, 55, 59^{*}, 74, 81^{*}. §8.4: 11, 16, 21^{*}, 56^{*}. §8.5: 15^{*}, 22^{*}, 45. §8.6: 55^{*}. §9.1: 8, 14, 16, 17, 37, 51, 54, 57. §9.2: 12, 19, 23^{*}, 38^{*}, 55. §9.3: 11, 12^{*}, 17, 58^{*}, 59. |
Thursday, August 11th |