Calculus and Analytic Geometry I.

office: 713 Van Vleck
e-mail: maxim AT math.wisc.edu
office hours: Mo, 3-6 PM, or by appointment.

CLASS SCHEDULE:

MWF 11:00 -11:50, Room VAN VLECK B102.

CLASS HOMEPAGE: http://www.math.wisc.edu/~maxim/MATH221.html

SYLLABUS

TEXTBOOK:

Thomas' Calculus (Including Second-Order Differential Equations) Weir, Hass, Giordano (Special Printing)

GRADE and EXAMS:

Your course grade will be based on two midterms (100 points each), a final exam (200 points), and a discussion grade based on homework and quizzes (100 points).
The first midterm is scheduled for Thursday, Feb 25, 5:30-7:00 PM (Room: B10 Ingraham). The second midterm exam will be on Thursday, April 8, 5:30-7:00 PM (Room: B10 Ingraham).
The final exam is scheduled for Thursday, May 13, 2:45-4:45 PM (Room: 0165 Bascom Hall).
A practice exam 1 can be found here, with an answer key. A practice exam 2 can be found here, with solutions by Mushfeq Khan. Solutions for the second midterm are now available here.
A practice final exam is available here (with solutions by Mushfeq Khan), and another one is available here (with solutions by Peng Qi).
Some old exams are available here.

CALCULATORS:

No graphing calculators are required for this course. You will need a scientific calculator for some of the homework. Calculators, cell phones and notes will not be allowed in the exams. Answers on all exams will be required in the exact form, e.g., pi rather than 3.14.

GETTING HELP:

If you need help with the course, first talk to your TA, then to the instructor. If you cannot come to the scheduled office hours, make an appointment to see either your TA or the instructor at a different time. You can also get help in the MathLab, located in B227 Van Vleck Hall (across from the Mathematics Library), or you can take advantage of the Math Tutorial Program. Other sources for help include the GUTS, or the Private Tutor List.

HOMEWORK and QUIZZES:

Homework will be assigned each Monday, and will be posted on this page. You will have to submit it on Tuesday the following week at the discussion session. Quizzes will be given in the discussion session on each Thursday. Each will consist on short questions on the material of the last homework.

• HW 1: (due Jan. 26)
  Read sections §1.1, §1.2 and §1.3 from the textbook, and solve the following exercises:
  §1.1: 1, 3, 7, 12, 14, 18, 22, 27, 32, 38, 42.
  §1.2: 10, 15, 18, 19, 26, 28, 29, 32, 44, 48.
  §1.3: 6, 7, 16, 25.
• HW 2: (due Feb. 2)
  Read sections §2.1, §2.2 and §2.3 from the textbook, and solve the following exercises:
  §2.1: 1, 2, 3, 4, 5, 6.
  §2.2: 2, 4, 7, 8, 10, 16, 17, 18, 20, 22, 37, 49.
  §2.3: 1, 3, 5, 8, 9, 11, 17, 23, 37, 39, 43.
• HW 3: (due Feb. 9)
  Read sections §2.4, §2.5 and §2.6 from the textbook, and solve the following exercises:
  §2.4: 1, 12, 25, 39, 48, 50.
  §2.5: 6, 9, 18, 33, 37.
  §2.6: 2, 4, 15, 27, 35.
• HW 4: (due Feb. 16)
  Read sections §2.7, §3.1, §3.2 and §3.3 from the textbook, and solve the following exercises:
  §2.7: 5, 8, 11, 17, 25, 27, 33.
  §3.1: 3, 7, 13, 17, 18.
  §3.2: 3, 5, 6, 8, 13, 17, 20, 21, 33, 34, 39, 41.
  §3.3: 7, 9, 23, 25.
• HW 5: (due Feb. 23)
  Read sections §3.4, §3.5 and §3.6 from the textbook, and solve the following exercises:
  §3.4: 1, 3, 5, 8, 9, 16, 23, 27, 39.
  §3.5: 3, 5, 6, 11, 13, 17, 21, 25, 27, 43, 57, 88, 93.
  §3.6: 3, 6, 9, 19, 23, 45, 53, 57.
• HW 6: (due March 9)
  Read sections §3.7, §4.1, §4.2 and §4.3 from the textbook, and solve the following exercises:
  §3.7: 1, 3, 7, 10, 13.
  §4.1: 6, 7, 21, 23, 27, 29, 45, 47.
  §4.2: 1, 9, 15, 23, 25.
  §4.3: 2, 3, 7, 11, 18, 27, 31.
• HW 7: (due March 16)
  Read sections §4.4, §4.5 and §4.6 from the textbook, and solve the following exercises:
  §4.4: 11, 13, 17, 21, 31, 36, 37.
  §4.5: 5, 11, 13, 33, 47.
  §4.6: 1, 4, 7-13, 22-25, 27, 28.
• HW 8: (due March 23)
  Read sections §4.8, §5.1 and §5.2 from the textbook, and solve the following exercises:
  §4.8: 1, 3, 7, 11, 15, 17, 23, 26, 31, 38, 41, 43, 49, 55, 67, 69.
  §5.2: 1, 3, 8, 11, 15, 29, 31.
• HW 9: (due April 6)
  Read sections §5.3, §5.4, §5.5 and §5.6 from the textbook, and solve the following exercises (the problems marked with * are optional and don't have to be handed in; however, it is recommended that you work them out, as a good practice for the midterm and final exam):
  §5.3: 3*, 9, 11*, 13, 15*, 17, 19*, 65.
  §5.4: 3*, 5, 7*, 9, 11*, 15, 17*, 23, 27*, 30, 36*, 39, 40*, 45.
  §5.5: 1*, 3, 5*, 9, 15*, 17, 19*, 23, 27*, 35, 39*, 47.
  §5.6: 3*, 5, 7*, 9, 11*, 13, 15*, 17, 23*, 25, 27*, 30, 33*, 35, 39*, 41, 43*, 45, 51*.
• HW 10: (due April 20)
  Read sections §6.1 and §6.2 from the textbook, and solve the following exercises (the problems marked with * are optional and don't have to be handed in; however, it is recommended that you work them out, as a good practice for the final exam):
  §6.1: 1, 3, 5, 7, 8*, 9, 13, 15, 16*, 21, 25, 26*, 31, 32*, 33, 35*, 39.
  §6.2: 1, 3, 5, 7, 11, 20*, 24(a,b), 25, 27, 28*.
• HW 11: (due April 27)
  Read sections §6.3 and §6.4 from the textbook, and solve the following exercises:
  §6.3: 1, 3, 5, 7, 9, 13.
  §6.4: 1, 5, 7, 11, 13, 15, 19, 25, 27.
• HW 12: (due May 4)
  Read sections §7.1-7.4 from the textbook, and solve the following exercises:
  §7.1: 2, 3, 7, 8, 13, 15, 16, 27, 28, 31, 32, 47.
  §7.2: 1, 3, 13, 21, 27, 33, 41, 45, 61, 65.
  §7.3: 3, 11, 15, 22, 23, 25, 32, 33.
  §7.4: 3, 5, 9, 11, 13, 21, 27, 33, 39, 43, 47, 51, 55, 61, 69.