Contact
coneill «at» math.ucdavis.edu
Mathematical Sciences
Building, Room 3149
Department of Mathematics
University of California Davis
One Shields Ave
Davis, CA 95616
U.S.A.
Math 21B Sections B01-B02: Calculus II (Fall 2016)
Lectures: MWF 2:10pm - 3:00pm, Wellman 216.
Final exam: Tuesday, December 6th, 1:00pm - 3:00pm.
Office hours: Tuesday 1:30pm - 3:30pm,
Wednesday 11:00am - 12:00pm,
Thursday 4:00pm - 5:00pm,
or by appointment.
Textbook: Thomas' Calculus: Early Transcendentals (13th Edition).
Calculus room: See the department schedule for dates/times. Open to all Math 21ABCD students.
As described in the course catalog, this course is a continuation of Math 21A covering integral calculus. Specific topics include the definition of definite integral, the fundamental theorem of calculus, and techniques of integration, as well as applications to area, volume, arc length, surface area of revolution, average of a function, and improper integrals.
Announcements
July 19, 2016: Course webpage has been created.
September 15, 2016: Course details have been updated.
September 19, 2016: A syllabus and lecture schedule have been uploaded.
September 24, 2016: Office hour times have been updated.
October 18, 2016: The lecture schedule has been updated.
October 26, 2016: Solutions to Exam 1 have been posted.
November 1, 2016: The lecture schedule has been updated.
November 6, 2016: A correction to Homework Sheet 6 has been posted.
November 20, 2016: The lecture schedule has been updated, and the remaining textbook assignments for the quarter have been posted.
Resources
The course syllabus.
A tentative day-by-day schedule (subject to change without notice).
Exam Formula Sheets
Exam 1 Formula Sheet, for Friday, October 14, 2016.
Exam 2 Formula Sheet, for Wednesday, November 9, 2016.
Final Exam Formula Sheet, for Tuesday, December 6, 2016.
Homework
Weekly homework assignments will consist of two parts. The first part consists of textbook problems selected from each section covered in class. Your solutions to the textbook problems will not be turned in for credit. The second part consists of a short homework sheet assigned each week, to be submitted for a homework grade. Homework sheets will usually be due on Tuesdays, and cover topics from the preceeding week's lectures (Monday, Wednesday, and Friday).
I will post homework assignments here. If you have questions about course material, do not hesistate to ask me in/before/after class, stop by my office hours, or email me.
Textbook Problems
Wednesday, September 21, 2016:
Chapter 2 Practice Exercises (page 118): 41, 51, 55.
Chapter 3 Practice Exercises (page 215): 3, 15, 17, 45, 65, 99, 121.
Friday, September 23, 2016:
§5.1 / 1, 3, 5, 7, 11, 19.
§5.2 / 3, 7, 9, 13, 15, 17, 19, 23, 29, 31ab.
Monday, September 26, 2016:
§5.3 / 9, 11, 15, 17, 19, 27, 53, 71, 73, 75, 79.
Wednesday, September 28, 2016 and
Friday, September 30, 2016:
§4.8 / 1, 5, 13, 15, 19, 23, 29, 45, 51, 55, 67, 73, 77, 83, 89, 93, 97, 105, 123.
§5.4 / 1, 3, 7, 9, 15, 27, 29, 39, 41, 47, 57, 61.
Monday, October 3, 2016:
§5.5 / 3, 5, 11, 13, 19, 21, 31, 35, 37, 43, 53, 61, 65, 73.
§5.6 / 1a, 3a, 5ab, 7a, 9a.
Wednesday, October 5, 2016:
§8.7 / 1abab, 3abab, 7abab, 9abab, 11, 13, 17, 23, 25, 38.
Friday, October 7, 2016:
§7.1 / 1, 5, 9, 13, 15, 25, 35, 47, 51, 67.
Exam 1 Review:
Chapter 5 Practice Exercises (page 357):
3, 9, 11, 13, 35, 37, 39, 43, 47, 51, 57,
59, 61, 73, 77, 83, 89, 99, 121, 123, 125.
Union with 43-111 odd for more integration practice.
Chapter 7 Practice Exercises (page 453): 23, 27, 29.
Chapter 8 Practice Exercises (page 529): 45, 47, 51.
Monday, October 10, 2016:
§7.2 / 1, 5, 7, 9, 11, 13, 17, 19.
Monday, October 17, 2016:
§7.2 / 15, 21, 23, 25, 29, 35, 37, 41, 45.
Wednesday, October 19, 2016:
§8.2 / 1, 3, 7, 9, 13, 17, 21, 23, 29, 33, 35, 39, 63.
Friday, October 21, 2016:
§8.3 / 3, 5, 7, 11, 13, 17, 19, 33, 35, 37, 41, 45, 47.
Monday, October 24, 2016:
§8.4 / 1, 5, 7, 9, 11, 13, 15, 19, 23, 27, 31, 35, 43.
Wednesday, October 26, 2016:
§8.5 / 1, 3, 5, 7, 9, 11, 13, 15, 17, 21, 23, 27, 35, 41.
Friday, October 28, 2016:
Chapter 8 Practice Exercises (page 531):
69, 71, 73, 75, 77, 79, 81, 83, 85, 87,
89, 93, 95, 97, 99, 101, 103, 105, 107.
Union with 1-44 and 69-116 for more practice,
ignoring any integral with \(\infty\) as an endpoint.
Monday, October 31, 2016:
§6.1 / 11, 15, 17, 23, 25, 31, 33, 35, 59.
Wednesday, November 2, 2016:
§6.1 / 1, 3, 5, 9, 29, 37, 41, 43, 45, 47, 49, 51, 53.
Friday, November 4, 2016:
§6.2 / 3, 5, 7, 11, 13, 19, 23abde, 33, 35, 37.
Exam 2 Review:
Chapter 6 Practice Exercises (page 416): 1, 3, 4, 5, 7, 9, 11, 13.
Chapter 7 Practice Exercises (page 454): 31, 33, 35, 36, 39, 40.
Chapter 8 Practice Exercises (page 531):
Any problems from the Friday, October 28th
assignment you have not yet completed.
Monday, November 14, 2016:
§6.3 / 1, 3, 9, 13, 17, 21, 27.
§6.4 / 3a, 5a, 9, 13, 15, 19.
Wednesday, November 16, 2016:
§6.5 / 1, 3, 5, 7, 9, 11, 15, 17, 19.
Friday, November 18, 2016:
§6.6 / 1, 3, 5, 7, 15, 17, 29, 31.
Monday, November 21, 2016:
§8.8 / 1, 3, 5, 7, 11, 13, 21, 31, 35, 37, 41, 45, 55.
Monday, November 28, 2016:
§11.1 / 1, 3, 5, 7, 11, 15, 19, 21, 23, 25, 33, 39.
Wednesday, November 30, 2016:
§11.2 / 1, 3, 5, 7, 11, 15, 19, 25, 29, 31, 34.
Final Exam Review:
Chapter 5 Practice Exercises (page 357): 15-25 odd, 121, 123, 125, 127.
Chapter 6 Practice Exercises (page 416): 17-23 odd, 25, 29, 31, 33, 35, 37.
Chapter 7 Practice Exercises (page 454): 1, 5, 9, 13, 17.
Chapter 8 Practice Exercises (page 529): 1-43 odd, 45, 47, 53, 55, 57, 59, 65, 67, 91.
Chapter 11 Practice Exercises (page 699): 1, 3, 5, 7, 9, 11.
Any problems from the previous exam review assignments you have not yet completed.
Homework Sheets
Homework Sheet 1, due Tuesday, September 27, 2016.
Homework Sheet 2, due Tuesday, October 4, 2016.
Homework Sheet 3, due Tuesday, October 11, 2016.
Homework Sheet 4, due Tuesday, October 25, 2016.
Homework Sheet 5, due Tuesday, November 1, 2016.
Homework Sheet 6, due Tuesday, November 8, 2016.
Homework Sheet 7, due Tuesday, November 22, 2016.
Homework Sheet 8, due Tuesday, November 29, 2016.