Math 105 Section 101 - Winter 2014

Integral Calculus with Applications to Commerce and Social Sciences

Instructor:Athena Nguyen
Email:athena (at) math (dot) ubc (dot) ca
Web Page: http://www.math.ubc.ca/~athena/index.html
Office:Auditorium Annex 126
Lectures:TTh 15:30-16:50 - Buchanan A102
Text:Calculus: Early Transcendentals, fourth custom edition for UBC, by Briggs and Cochran
Office Hours:Wed 9:00-11:00 or by appointment via email

News

- Webwork 8 is now open here and will be due at 11:59pm Nov 2, 2014.
- Week 8 Learning goals and recommended exercises are posted.
- Assignment 4 Problem Set is now posted under Assignments and will be due at the beginning of the lecture on October 30, 2014.
- Formula sheet for midterm 2, and all sample midterms are posted under Midterm Info.

Last update: October 28, 2014.

Marking Scheme

Assignments - 10%
Webworks - 10%
2 Midterms - 30% (15% each)
Final Exam - 50%


Webworks

There will be approximately 12 webwork assignments, 10 of which will count toward the Webworks component. Each webwork will have approximately 15 questions. As the questions are different for each student, students are strongly encouraged to work on webworks together. To access webwork, click here.

Assignments

Assignment 1 (Due date: September 18, 2014): Questions Solutions
Assignment 2 (Due date: October 2, 2014): Questions Solutions
Assignment 3 (Due date: October 16, 2014): Questions Solutions
Assignment 4 (Due date: October 30, 2014): Questions

Assignment Policies


Final Info

Time: 12:00 - 14:30 Dec 6, 2014
Location:TBA

Please do not make any end-of-term travel arrangements until the final exam schedule has been released.

Midterm Info

Midterm 1

Time: 15:30 - 16:20 Oct 2, 2014
Location:Buchanan A102
Midterm 1 will cover materials listed in Weeks 1-3 Learning Goals, that is, those from Sections 12.1, 12.2, 12.4, 12.8 and 12.9. Note that this also include some topics on vectors, and differentiation rules. There will be NO formula sheets allowed or provided for this midterm. Please refer to the week-by-week learning goals for precise lists of topics you should know for this midterm.

Midterm 1: Questions Solutions

Sample Midterm 1 : Questions Solutions
Sample Midterm 2 : Questions Solutions
Sample Midterm 3 : Questions Solutions
Sample Midterm 4 : Questions Solutions
Sample Midterm 5 : Questions Solutions

Midterm 2

Time: 15:30 - 16:20 Oct 30, 2014
Location:Buchanan A102
Midterm 2 will cover materials listed in Weeks 4-7 Learning Goals, that is, those from Sections 5.1, 5.2, 5.3, 5.5, 7.2, 7.3, 7.4, 7.7, 7.8, 7.9. Note that this also include antiderivatives which are covered in 4.8 of the scanned text. This formula sheet will be provided (attached to the end of each midterm). Please refer to the week-by-week learning goals for precise lists of topics you should know for this midterm.

Sample Midterm 1 : Questions Solutions
Sample Midterm 2 : Questions Solutions
Sample Midterm 3 : Questions Solutions
Sample Midterm 4 : Questions Solutions
Sample Midterm 5 : Questions Solutions

Exam policies


Course outline


Week 1 (Sep 9 , Sep 11) Planes and surfaces (12.1) Learning goals
Graphs and level curves (12.2)
Week 2 (Sep 16 , Sep 18) Partial derivatives (12.4) Learning goals
Maximum/minimum problems (12.8)
Week 3 (Sep 23 , Sep 25) Maximum/minimum problems (12.8)Learning goals
Lagrange Multipliers (12.9)
Week 4 (Sep 30 , Oct 2) Approximating areas under curves (5.1) Learning goals
Definite integrals (5.2)
Week 5 (Oct 7 , Oct 9) Fundamental Theorem of Calculus (5.3) Learning goals
Substitution Rule (5.5) Section 4.8
Integration By Parts (7.2) Learning goals
Week 6 (Oct 14 , Oct 16)Trigonometric integrals (7.3)
Trigonometric Substitutions (7.4)
Partial Fractions (7.5)
Week 7 (Oct 21 , Oct 23) Numerical Integration (7.7) Learning goals
Improper Integrals (7.8)
Introduction to Differential Equations (7.9)
Week 8 (Oct 28 , Oct 30) Random Variables and Probabiity Basics (12.1 in Probability Appendix) Learning goals
Continuous Random Variables (12.2 in Probability Appendix)
Expected Value, Variance, and Standard Deviation
Week 9 (Nov 4 , Nov 6) Sequences (8.1, 8.2)
Infinite Series (8.3)
Divergence Test, Integral Test (8.4)
Week 10 (Nov 11 , Nov 13) Ratio Test, Comparison Test, Limit Comparison Test (8.5)
Approximating functions with polynomials (9.1)
Properties of Power Series (9.2)
Week 11 (Nov 18 , Nov 20) Taylor Series (9.3)
Working with Taylor Series (9.4)
Week 12 (Nov 23 , Nov 25) Review

Recommended Exercises

Review on Differential Calculus

The following list of problems is only representative of the topics you should know from previous calculus courses. It is not an exhaustive list of questions that you only need to know.

Section 1.2 : 11, 15, 19.
Section 1.3: 25, 39, 47.
Section 1.4: 29, 32, 37.
Section 2.2: 19.
Section 2.3: 26, 39, 55.
Section 2.4: 36.
Section 2.5: 21, 39.
Section 2.6: 11, 75.
Section 3.1: 17, 27, 45.
Section 3.2: 21, 35, 43.
Section 3.3: 10, 20, 38, 60.
Section 3.4: 19, 34, 55.
Section 3.5: 11, 31.
Section 3.6: 41, 49.
Section 3.7: 13, 21, 43.
Section 3.8: 12, 15, 45.
Section 3.9: 7, 13, 17.
Section 4.1: 15, 31, 38.
Section 4.2: 19, 31, 51, 60.
Section 4.3: 29.
Section 4.4: 11.
Section 4.5: 9.
Section 9.1: 7, 13.

Review on Vectors

Section 11.1: 23-47, 59-62.
Section 11.2: 4, 5, 39-50, 67-70.

Course contents

This section contains a list of problems from the textbook. These are not to be turned in, but working through them will help crystallize the concepts covered in class. Not all parts of a textbook section will be emphasized equally in lectures, and these problems serve as guidelines for identifying the important and relevant parts that constitute the course syllabus. Exam questions will be largely modelled on these problems.

Section 12.1: 1-5, 11-14, 21-34.
Section 12.2: 1-4, 7, 11-20, 29, 30-37, 38a,b,d,f.
Section 12.4: 1-4, 6, 7-10, 11-28, 29-38, 39-44, 55, 56, 64-66, 69, 70, 72, 75.
Section 12.8: 9-18, 19-34.
Section 12.8: 43-52.
Section 12.9: 5-14, 27-29, 35-38.46-49.
Section 5.1: 5-8, 17-26, 27-34, 39-42, 43-46, 53, 55-57, 59-62.
Section 5.2: 11-14, 15-20, 21-24, 25-32, 33-36, 37-40, 41-46, 47-52, 67-75.
Section 4.8: 11, 13, 15, 17, 19, 21, 25, 27, 29, 39, 41. Solutions for these problems are here.
Section 5.3: 5, 9, 11-22, 23-50, 51-60, 61-68.
Section 5.5: 13-16, 17-32, 33-38, 39-52, 53-60, 62-78, 106-111.
Section 7.1: 7-14, 15-22, 23-28, 29-32, 33-36.
Section 7.2: 7-22, 23-30, 31-38, 44-47, 52-53.
Integral exercises Solutions
Section 7.3: 9-14, 15-24, 25-30, 31-44, 50-57, 58-61.
Section 7.4: 7-16, 17-46, 47-56, 58-65.
Section 7.5: 5-12, 13-26, 27-37, 63-74, 76-81.
Section 7.7: 7-10, 11-14, 15-18, 19-26.
Section 7.8: 5-28, 35-50.
Section 7.9: 9-12, 13-16, 17-20, 21-24, 25-28, 31-34, 35-40, 56-59.
Probability Appendix: 12.1 Practice Problems 1-2, Exercises 1-2.
12.2 Practice Problems 1-2, Exercises 1-6, 7-12, 13-38.

Academic Misconduct