Math 105-922, Summer 2012

Integral Calculus with Applications to Commerce and Social Sciences

Instructor:	Cihan Okay
Email:	okay (at) math (dot) ubc (dot) ca
Web Page:	http://www.math.ubc.ca/~okay/index.html
Lectures:	Mon/Thu/Fri 13:00-15:00, Wed 13:00-14:00 - Buchanan A103
Text:	Calculus: Early Transcendentals, second custom edition for UBC, by Briggs and Cochran
Office Hours:	Wednesday: 14:00- 16:00 MLC , LSK 100

Webwork TA:	Jeffrey Yiu
Email:	jeff_3833 (at) hotmail (dot) com
Office Hours:	Monday: 11:00- 12:00 and Thursday: 15:00-16:00 MLC , LSK 100

Updates

Please do not use the Webwork email system to ask your questions, instead use the regular email.

You can see your Final Exam papers on August 6th Monday morning between 10:00-12:00 at MLC.

Solutions to Sample Final: See Math 105-921, section "Final Info".

Math 105 2011W final exam.
Jeffrey will have his office hours on Wednesday at 11-12 and on Friday at 11-12.

My office hour will be on Thursday at 3-5.(MLC, LSK 100)
Solutions to quiz 4.

Solutions to Midterm 2.
Quiz 4: There will be two questions on applications of
- The divergence and integral tests (8.4)
- The ratio, root and comparison tests (we haven't seen the limit comparison test yet) (8.5).

Final Exam : Friday July 27, 13:00-15:30, BUCH A101(<--note the location).
- The final exam is cumulative.
- A copy of the formula sheet that will be provided in the final exam.
- Here is a link to an online module that may be helpful in reviewing the material on sequences and series.
  Problem set from Math 105, 2012W Term 2.
- Math exam resources wiki is a wiki of solutions to previous final exams prepared by math graduate students. There are currently solutions for most of the April 2011 and 2010 exams, and the Math 101 and Math 103 exams may also be useful.

quiz 3 solutions.
quiz 2 solutions.
Lecture notes updated, week 5&6.

In the midterm week, Jeffrey will have his office hours on Monday at 11-12 and on Tuesday at 2-3. My office hour will be on Tuesday at 3-5.(MLC, LSK 100)
Quiz3: There is a quiz on Monday, July 16th. There will be one problem on Differential equations and another on Probability.
Solutions to Midterm 1.
Midterm 2: Wednesday July 18, 13:00-13:50, BUCH A201(<--note the location).
- Midterm syllabus: The midterm covers everything in the course syllabus covered in week 3 and week 4 (refer to the week-by-week schedule below).
- A note about the midterm format: Very similar to midterm 1. There are 4-5 problems, one of which is a multipart short-answer question, and the others are computational. The multipart question consists of several, unrelated sub-questions designed to test your conceptual understanding of the material. The computational problems will be on integration, differential equations and probability, and modeled on WebWork and textbook practice problems.
- Books, notes and calculators are not allowed in the midterm, but this formula sheet will be provided. Any other possibly useful formulae have to be memorized.
- Studying for the first midterm? In addition to the WebWork problems and weekly practice problems from the text posted below in this site, here are a few review problem sets.
  - Review Problem Set 1 . Solutions .
  - Review Problem Set 2 . Solutions .
- Midterm drafts: 1 , 2 , 3 , 4 , 5 .

Lecture notes updated, week 3&4.

Math 105: Probability module and probability practice problem set .
Quiz 2 is on Monday, on Trigonometric integrals.

Lecture notes, week 3&4.

For Midterm 1, next week the office hours will be on the following days: Jeffrey Yiu- Tue: 16:00-17:00 and Wed: 11:00-12:00.

quiz 1 solutions.
Next week my office hour will be on July 3th Tuesday, between 14:00-16:00 in MLC.
Midterm 1: Wednesday July 4, 13:00-13:50, BUCH A201(<--note the location).
- Midterm syllabus: The midterm covers everything in the course syllabus up until week 2 (refer to the week-by-week schedule below).
- A note about the midterm format: There are 4-5 problems in the midterm, one of which is a multipart short-answer question, and the others are computational. The multipart question consists of several, unrelated sub-questions designed to test your conceptual understanding of the material. The computational problems will be on multivariable calculus and modeled on WebWork and textbook practice problems.
- Books, notes and calculators are not allowed in the midterm, but this formula sheet will be provided. Any other possibly useful formulae, such as trigonometric identities or roots of a quadratic equation, have to be memorized.
- Studying for the first midterm? In addition to the WebWork problems and weekly practice problems from the text posted below in this site, here are a few review problem sets.
  - Review Problem Set 1 with solutions .
  - Review Problem Set 2 with solutions .
  - Review Problem Set 3 with solutions .
- Midterm drafts: 1 , 2 , 3 , 4 , 5 .

See section: "Practice problems".
Lecture notes, week 1&2, updated.

Quiz 1: There will be a short quiz on Monday at the end of the class. Topics: Week 1 lecture notes pages 1-20 (upto the definition of "Saddle point").

Week 1 lecture notes uploaded.
A hint for question 6 in Homework 1.
Midterm dates: See section "Exam dates".

Course information

See the following sections from Math 105, 2012W Term 2

Need a review of differential calculus?
Course Outline (Learning Goals)
Practice problems

Week 1 and Week 2:
- Planes and surfaces (12.1)
- Graphs and level curves (12.2)
- Partial derivatives (12.4)
- Maximum/minimum problems (12.8)
- Lagrange multipliers (12.9)
- Approximating areas under curves (5.1)
- Definite integrals (5.2)
Week 3 and Week 4 :
- Fundamental theorem of calculus (5.3)
- Substitution rule (5.5)
- Integration by parts (7.1)
- Trigonometric integrals (7.2)
- Trigonometric substitutions (7.3)
- Partial fractions (7.4)
- Numerical integration (7.6)
- Improper integrals (7.7)
- Introduction to differential equations (7.8)
- Probability
- Continuous random variable
- Mean and variance
Week 5 and Week 6 :
- Sequences (8.1-8.2)
- Infinite series (8.3)
- The divergence and integral tests (8.4)
- The ratio, root and comparison tests (8.5).
- Approximating functions with polynomials (9.1)
- Properties of power series (9.2)
- Taylor series (9.3)
- Working with Taylor series (9.4)

Practice problems

Week 1&2:
- Section 12.1: 2-4, 11-14, 23-24, 25-28.
- Section 12.2: 1-4, 7, 11-18, 28-33, 36, 38(b) (c), 49.
- Section 12.4: 1-30, 56-73. For problems 72 and 73, show differentiability using Theorem 12.5. You do not need to produce $\epsilon_1$ and $\epsilon_2$.
- Section 12.8: 15-28, 29-36.
- Section 12.8: 37-44, 49-52, 62.
- Section 12.9: 1, 2, 4, 5-10, 20, 21, 38-41, 45-47.
- Section 5.1: 3-8, 17-26, 31-33, 34(i), 49-56.
- Section 5.2: 19-50, 66-69.
Week 3&4:
- Section 5.3: 12, 17, 18, 19, 22, 25, 30, 32, 37, 39, 51-57.
- Section 4.8: 11, 13, 17, 19, 22, 25, 27, 28,
- Section 5.5: 35, 36, 37, 40.
- Section 7.1: 7-28, 29, 32, 33.
- Section 7.2: 9-32, 40-49.
- Section 7.3: 7-46, 48-55.
- Section 7.4: 5-18, 49, 51-53, 57, 58, 60-62.
- Section 7.6: 7-10, 35-38, 44-47.
- Section 7.7: 5-20, 27-36.
- Section 7.8: 9-20, 23-32, 53-59.
- Probability practice problem set .
Week 5&6:
- Section 8.1: 6-16, 23--30, 47--58, 60--67.
- Section 8.2: 1--4, 9--26, 35-42, 63, 67, 69.
- Section 8.3: 7-46, 59
- Section 8.4: 9-30, 44-49.
- Section 8.5:
- Section 9.1: 1--46, 53--64.
- Section 9.2: 1--44, 46--49, 52--57.
- Section 9.3: 9--28.
- Section 9.4: 21--26.

Assignments

There will be weekly homeworks on WebWork. In total there will be 6 assignments, 5 of which will count toward your overall grade.

WebWork click on MATH105-922.

Grading Scheme

Final Exam 50%

2 Midterms 30%

Webwork Assignments 10%

Quizzes 10%

Exam Dates

Midterm 1: Wednesday July 4, 13:00-13:50

Midterm 2: Wednesday July 18, 13:00-13:50

Final Exam: Friday July 27, 13:00-15:30