Course information:
MAT 21B, Winter Quarter, 2013
Lectures: MWF 12:10–1:00 p.m., Young 198
Office hours: MW 1:15–2:30 p.m.
Text: Thomas' Calculus, Weir and Hass, 12th Edition
Smart Site: The SmartSite for the class is here
University of California
Davis, CA 95616, USA
e-mail: jkhunter@ucdavis.edu
Phone:
- (530) 554-1397 (Office)
- (530) 752-6653 (Fax)
Office: 3230 Mathematical Sciences Building
Announcements
Final exam scores are available on SmartSite, and I've submitted course grades to the registrar.Solutions to the final exam are here.
Important Dates
- Instruction begins: Monday, January 7
- Last day to add: Wednesday, January 23
- Last day to drop: Monday, February 4
- Last class: Monday, March 18
- Academic holidays: Monday, January 21; Monday, February 18
TA information
Lead TA: David Stein
Discussion sections:
- F01, R 3:10–4:00 p.m., Storer 1344, Jennifer Piaseczny,
- F02, R 4:10–5:00 p.m., Storer 1344, Jennifer Piaseczny,
- F03, R 5:10–6:00 p.m., Hutchison 102, Rex Cheung,
- F04, R 6:10–7:00 p.m., Hutchison 102, Matthew Cha,
- F05, R 7:10–8:00 p.m., Hutchison 102, Jason Barnett,
- F06, R 3:10–4:00 p.m., Wellman 101, Rex Cheung.
TA Office Hours:
- Jason Barnett: W 4:00-5:00pm in MSB 2129
- Rex Cheung: R 9:30 - 10:30am, F 10:00-11:00am in MSB 1228 (inside the calculus room)
- Matthew Cha: F 2:00-3:00pm in MSB 2129
- Jennifer Piaseczny: T 2:00-3:00pm, R 1:00-2:00pm in MSB 2117
Exams
There will be two in-class midterms and a final.
There will be no makeup exams.
- Midterm 1: Friday, February 1
- Midterm 2: Friday, March 1
- Final: Wednesday, March 20, 10:30 a.m.–12:30 p.m. (Exam Code G)
Exams are closed book. No electronic devices are allowed.
Grade
Grade will based on the two midterms and the final exam, weighted as follows:
- 30%: Midterm 1
- 30%: Midterm 2
- 40%: Final
Homework will be assigned but will not be collected or graded. Don't expect to pass this course unless you do the homework.
Grades will be available on Smartsite.
Midterm 1
The first midterm covers Sections 4.8 and Chapter 5 of the text:
- 4.8 Antiderivatives
- 5.1 Approximating areas by rectangles
- 5.2 Summation notation and Riemann sums
- 5.3 Definition of the definite Riemann integral as a limit of partial sums
- 5.4 The fundamental theorem of calculus (Parts 1, Part 2) and the evaluation of integrals
- 5.5 Indefinite integrals (= antiderivatives) and substitution
- 5.6 Definite integrals by substitution and the area between curves
Here are some sample midterm questions. Solutions to the sample midterm problems are here.
Solutions to Midterm 1 are here.
Midterm 2
Midterm 2 covers Chapter 6 (not including Section 6.6) and Sections 7.1, 7.2 of the text:
- 6.1 Volumes using cross-sections
- 6.2 Volumes using shells
- 6.3 Arc length
- 6.4 Surface areas of revolution
- 6.5 Work, force, and pressure
- 7.1 The logarithm
- 7.2 Differential equations
Solutions to Midterm 2 are here.
Some sample questions for the material in Chapter 6 are here.
Solutions for the sample questions are here As usual, please try the questions yourself before consulting the solutions.
Here is a brief summary of the work, force, and pressure formulas that you need to know to set up the corresponding integrals.
Midterm 1
The final exam is: Wednesday, March 20, 10:30 a.m.–12:30 p.m. (Exam Code G).The exam is not in our regular classroom. It will be in
123 Sciences Lecture Hall
(Anyone taking two 21ABC calculus finals or with an accomodation for extra time from the SDC should go to Chemistry 176 at 10:30am.)
The final will be on all of the material from this quarter. Here's a detailed list of the sections we've covered:
- 4.8 Antiderivatives
- 5.1 Approximating areas by rectangles
- 5.2 Summation notation and Riemann sums
- 5.3 Definition of the definite Riemann integral as a limit of partial sums
- 5.4 The fundamental theorem of calculus (Parts 1, 2) and the evaluation of integrals
- 5.5 Indefinite integrals (= antiderivatives) and substitution
- 5.6 Definite integrals by substitution and the area between curves
- 6.1 Volumes using cross-sections
- 6.2 Volumes using shells
- 6.3 Arc length
- 6.4 Surface areas of revolution
- 6.5 Work, force, and pressure
- 7.1 The logarithm
- 7.2 Differential equations
- 8.1 Integration by parts
- 8.2 Trigonometric integrals
- 8.3 Trigonometric substitutions
- 8.4 Partial fractions
- 8.7 Improper integrals
- 11.1 Parametric curves
- 11.2 Calculus with parametric curves
- 11.3 Polar coordinates
- 11.4 Sketching polar equations
Some practice final questions are here.
Solutions to the practice final questions are here.
I'll hold my usual office hours on Mon, Mar 18.
Syllabus
We will cover most of Chapters 5–8 of the text. The main topic of this class is integration: the definition of the integral by Riemann sums; integration as the inverse operation to differentiation (the Fundamental Theorem of Calculus); applications of integration; and techniques of integration.
The Department syllabus is here.
Homework
Set 1 (Friday, January, 11)
- Sec. 5.1, p. 304: 2, 3, 6, 16, 21, 22
- Sec. 5.2, p. 312: 1, 4, 8, 9, 13, 16, 17, 19, 40, 45
Set 2 (Friday, January 18):
- Sec. 5.3, p. 321: 3, 4, 6, 8, 9, 19, 22, 36, 55, 64, 69, 73, 79, 86
- Sec. 5.4, p. 333: 2, 9, 17, 29, 35, 36, 38, 39, 41, 61, 69, 71, 76
Set 3 (Friday, January 25):
- Sec. 4.8, p. 285: 4, 10, 13, 18, 19, 27, 36, 45, 52, 65, 72, 83, 84, 125
- Sec. 5.5, p. 342: 2, 4, 7, 10, 13, 18, 23, 37, 39, 42, 48, 55, 58, 63, 67, 79
Set 4 (Friday, February 1):
- Sec. 5.6, p. 350: 1, 4, 8, 13, 18, 29, 31, 32, 36, 39, 43, 47, 52, 54, 57, 71, 90, 100, 111, 114, 115, 117
Set 5 (Friday, February 8):
- Sec. 6.1, p. 371: 5, 10, 13, 17, 18, 29, 32, 37, 40, 51, 55, 62 (a), (b)
- Sec. 6.2, p. 379: 2, 3, 13, 21, 26, 31, 44, 47
Set 6 (Friday, February 15):
- Sec. 6.3, p. 386: 2, 3, 8, 9, 29, 31
- Sec. 6.4, p. 489: 2(a), 5(a), 13, 21, 24, 29, 32
- Sec. 6.5, p. 398: 1, 4, 7, 21, 23, 32, 33, 36
Set 7 (Friday, March 1):
- Sec. 7.1, p. 425: 3, 6, 12, 19, 26, 47, 59, 70
- Sec. 7.2, p. 433: 2, 3, 8, 9, 10, 11, 12, 24, 25, 29, 36, 39,
Set 8 (Friday, March 8):
- Sec. 8.1, p. 459: 3, 5, 8, 14, 29, 54, 59, 63, 68, 71
- Sec. 8.2, p. 466: 4, 9, 20, 24, 34, 39, 51, 68, 69
- Sec. 8.3, p. 470: 1, 4, 5, 8, 9, 16, 22, 28, 35, 38, 54, 57
Set 9 (Monday, March 18):
- Sec. 8.4, p. 479: 9, 14, 21, 39
- Sec. 8.7, p. 505: 1, 4, 5, 18, 26, 65, 74
- Sec. 11.1, p. 634: 1, 5, 22, 23
- Sec. 11.2, p. 643: 1, 10, 25, 26, 33
- Sec 11.3, p. 648: 1, 5, 27, 40, 42, 55, 57, 61