University of British Columbia Okanagan

Course outline

MATH 101 Integral Calculus

Last updated: April 9, 2008

General

Lectures

Mondays, Wednesdays, and Fridays, 10:30AM - 11:20AM, LIBRARY 317

Web page to watch

This course is WebCT supported; the current version of this page is http://people.ok.ubc.ca/bauschke/101.html

To access WebCT, go to http://www.elearning.ubc.ca

Text book

James Stewart: Calculus (Early Transcendentals, Single Variable, 6th edition)

Instructor

Dr. Heinz Bauschke

Office

SCIENCE 108

Email

heinz.bauschke@ubc.ca. Use MATH 101 in the Subject line of your email.

Evaluation

Class Tests 48%; Maple Lab Projects 7%; Final Exam 45%.

Office hours

Varies weekly or by appointment. Please visit http://calendar.yahoo.com/bauschke to see my current calendar.
Additional help is available: TAs during the labs, as well as the Math & Science Centre (ARTS 115).

Cheating and Plagiarism

I shall assume that you have read the corresponding pages on academic misconduct, in the current calendar, as well as general information about academic integrity.

Calculator Policy

Basic scientific (with a one or two line display) are allowed on exams. Advanced calculators such as graphing calculators or those allowing symbolic manipulations (e.g. TI-89), laptops, cell phones, etc are not allowed on exams.

Contents of the course

• Applications of Differentiation (Section 4.9)
• Integrals (Sections 5.1-5.5)
• Applications of Integration (Sections 6.1-6.3, 6.5)
• Techniques of Integration (Sections 7.1-7.8)
• Further Applications of Integration (Section 8.1)
• Infinite Sequences and Series (Sections 11.1-11.2)

Depending on available time, we may cover material drawn from a selection of the following sections.

• Sections 11.3, 11.6, 11.8-11.10, 9.1-9.6.

Class Tests

Four class tests will be given (in class).

1. See WebCT.
   
2. See WebCT.
   
3. Wednesday, March 5, 2008.
   Covers all sections covered in the previous class tests, plus the new ones on which most focus is placed: Section 6.5 (average value), Section 7.1 (integration by parts), Section 7.2 (trig integrals), Section 7.3 (trig substitution). Make sure you can do the corresponding homework problems. Review what was done in class. Know the statements of the key results. Good luck!
4. Wednesday, April 2, 2008.
   Covers all sections covered in the previous class tests, plus the new ones on which most focus is placed: Section 7.4 (integration of rational functions by partial fractions), Section 7.5 (strategy for integration), Section 7.7 (approximate integration), Section 7.8 (improper integrals), Chapter 7 Concept Checks and True-False Quiz, and Section 8.1 (arc length), but NOT Section 11.1 (sequences). Make sure you can do the corresponding homework problems. Review what was done in class. Know the statements of the key results. Good luck!

Only the best 3 Class Tests count (each 16%), the lowest score will be dropped when the course grade is determined. When you enrol in this course, I assume that you agree to be present for these exams. Every missed class test without a medical certificate counts as 0. Absolutely no make-up exams will be given. The weight for each missed class test with a medical certificate will be transferred to the final exam. (Example: if you miss 2 class tests and have a medical certificate for one missed class test, then the Class Test portion of your course grade is 32%, and your final exam is worth 61% of your course grade.) Student identification cards are required for all tests and examinations.

Final examination

The final exam will be given during the final exam period. It will be by far the most challenging of the evaluation methods. You will need at least 35% on this examination in order to pass this course.

Date: Monday, April 21, 2008; Time: 9:00AM-NOON; Room: GYM.

Maple Labs and Projects

Everyone is registered in a Math 101 Lab. You should consider these labs as a very important part of this course. You will acquire basic Maple (a mathematical software package) skills that will help you in this and many other courses. You will solve problems related to what you will see on exams. An experienced Teaching Assistant (TA) will help you with Maple and with other math questions you may have. The labs are a tremendous opportunity to practice Maple and to get help for the Homework questions. For details regarding the Maple Lab Projects, see WebCT.

Homework and Math Assistance Centre

The most important action that you can take in order to achieve good results in Calculus is to do all your homework well. While homework will not be marked, you can expect exam problems to be similar to the homework problems. Doing the homework "well" means that if you see the same problem again, or one similar to it, you can solve it. You are expected to work at least 4-6 hours every week on homework problems. The TAs in the Math & Science Centre (ARTS 115) as well as the TA in your lab can help you with homework problems. Here is a list of recommended homework problems.

• Sections up to and including 7.2 - see WebCT.
  
• Section 7.3 (February 27):
  Exercises 2-4,11-14,24,26,32.(a),33,34.
• Section 7.4 (February 29):
  Exercises 9-12,22-25,43,44,47,48,67.
• Section 7.5 (March 3):
  Exercises 1,2,5,6,9-16,19,20,29,30,71,72,81.
• Section 7.7 (March 7 and March 10):
  Exercises 19,20,22,30. Additional Exercises from Dr. Broughton's Section: 5,8,17,31,32,35.
• Section 7.8 (March 10, March 12, and March 14):
  Exercises 1,2,5-16,49-54,57,58. Additional Exercises from Dr. Broughton's Section: 21,22,25,27,31,61; bonus: 68,71.
• Chapter 7 Review (practice on your own! page 518):
  Concept Checks 1-3,6-8.
  True-False Quiz Questions 1-6,11-14.
  Make sure you understand Class Test 3.
• Section 8.1 (March 14 and March 17):
  Exercises 1-10,15,16.
• Section 11.1 (March 19 and March 26):
  Exercises 2-14,17-32,60,61,67,68.
• Section 11.2 (March 28 and March 31):
  Exercises 9,10,13,14,19-22,25,26,35,38,41,42,47,48,65,66,69-71.
• Section 11.6 NO ROOT TEST (March 31 and April 4):
  Exercises 1-4,7,8,29-31.
• Section 11.8 NO INTERVAL OF CONVERGENCE ONLY RADIUS OF CONVERGENCE (April 4):
  Exercises 3-6,9-12.
• Section 11.9 (April 7):
  Exercises 3-8,13,15-18.
• Section 11.10 (April 9):
  Exercises 5-8,15,16,29-34,65-68.
• Miscellany (tentatively April 11):
  Suggested: Check out TRUE-FALSE QUIZ on page 759.

Important dates

Friday, March 21, 2008: Good Friday. University closed.
Monday, March 24, 2007: Easter Monday. University closed.
Friday, April 11: Last MATH 101 class.
Wednesday, April 16: 10:00AM-12:00PM: Practice Final Review in ARTS 366 (Dr. H. Bauschke).
Wednesday, April 16: 1:00PM-3:00PM: Practice Final Review in ARTS 366 (Dr. W. Broughton).

The present syllabus is tentative, and subject to change according to the needs of the class.