Math 100
Math 100
Basic Information
Lectures: Buchanan A203, each Tuesday and Thursday, from 8:00 to 9:30 am.
Office hours: Thursdays 9:30-10:30 (the hour after class) in Aud. Annex A, Rm 149 or by appointment. (My email address is cblois[at]math.ubc.ca. Always include “MATH 100” in the subject line.)
Syllabus: Download here (pdf).
Link to the Common Math 100/180 Math Website
(Here you can view the course outline, exam policies, and other useful resources.)
Lecture Notes
14. Related rates, Linear Approximations, Course Notes on Taylor Polynomials
12. Newton’s Law of Cooling and Compound Interest, wine example
10. Logarithmic differentiation, Rates of Change in the Natural and Social Sciences
6. Derivatives - examples, relationship with continuity, differentiation rules
5. Intermediate Value Theorem, horizontal asymptotes, introduction to the derivative
2. Limits (most of this lecture was on the blackboard)
Solution Sets
Links below are no longer active. Past students are welcome to email me for solutions.
Quizzes:
Problems from Quiz “n” come from Homework Week “n”. There were no Quizzes 3 and 8 due to the two midterms.
◦Quiz 9
◦Quiz 7
◦Quiz 6
◦Quiz 5
◦Quiz 4
◦Quiz 2
◦Quiz 1
◦Quiz 0
Midterms:
◦Practice Midterm 1
◦Solutions to Practice Midterm 1
◦Solutions to Midterm 1
◦Practice Midterm 2
◦Solutions to Practice Midterm 2
◦Solutions to Midterm 2
◦Note on Midterm 2
Homework:
◦Week 8: Solutions to even problems in Section 2 of Taylor Course Notes.
◦“Extra Calculator problem” (or why not to always just trust your calculator)
◦You’re welcome to ask me about solutions to any of the other homework problems that you are unsure about.
Homework Problems
Unless explicitly stated otherwise, you do not have to hand in the homework problems listed below. However, the weekly quiz consists of a selection of these problems, so if you can do them all, you’ll know how to do the quiz!
Note: problems which tell you to use your calculator will not be on the quiz, because you are not allowed to use a calculator on the quiz.
Week 0
◦Pg. 73-75, Chapter 1 Review: Do the True-False quiz and exercises 2,5,7,8,17,19,20,22,23,24.
◦Quiz 0 is scheduled for Tuesday, Sept. 14, and will be comprised of a selection of these problems.
Week 1
◦§2.1: 3, 5
◦§2.2: 7, 9, 12, 15, 19, 21, 25, 28
◦§2.3: 1, 13, 15, 17, 23, 25, 27, 35, 37, 43, 44, 47, 48, 49, 51, 61
◦pg. 166 True-False Quiz: 1-8,
◦Problems Plus, Chapter 2 (pg. 170): 2, 3, 9
Week 2
◦§2.5: 3, 5, 9, 17, 18, 35, 39, 41, 42, 45, 47, 49, 63, 65
◦§2.6: 3, 7, 17, 19, 25, 31, 57, 58
◦§2.7: 5, 7, 9(a) and (b), 13, 15, 17, 19, 21, 25, 29, 31, 33, 41, 49, 51
◦Problems Plus, Chapter 2: 8
Week 3
◦§2.8: 1, 9, 11, 15, 21, 25, 27, 35, 43, 49, 53
◦§3.1: 9, 11, 15, 19, 20, 23, 25, 31, 35, 45, 46, 49, 51, 53, 55, 57, 59, 61, 62, 63, 67, 69, 73, 75
◦§3.2: 2, 3, 5, 7, 11, 12, 17, 18, 21, 25, 27, 29, 31, 33, 41, 43, 45, 49, 51, 55
◦§3.3: 5, 9, 11, 13, 15, 19, 22, 23, 29, 33, 37, 39, 41, 45, 51
◦Problems Plus, Chapter 2: 12
◦Problems Plus, Chapter 3: 1, 6, 9
Week 4
◦§3.4: 5, 11, 23, 25, 31, 37, 39, 40, 42, 49, 59, 61, 70, 71, 75, 94
◦§1.6: 17, 23, 25, 41, 57, 59, 61, 63, 65
◦§3.10: 2, 3, 4 (Here, “linearization” = “linear approximation” = “tangent line”)
◦§3.5: 7, 11, 15, 17, 21, 27, 34, 35, 39, 41, 45, 47, 53, 61, 65
◦Problems Plus, Chapter 3: 8, 11, 14
Week 5
◦§3.6: 3, 7, 8, 11, 15, 17, 19, 26, 29, 33, 39, 40, 43, 47, 50, 53
◦§3.7: 3, 5, 7, 9, 13, 16, 17, 20, 33
◦Problems Plus, Chapter 3: 25
Week 6
◦§3.8: 3, 4, 5, 7, 10, 11, 12, 13, 15, 16, 17
◦§3.9: 5, 7, 13, 15, 18, 22, 23, 25, 27, 29, 33, 35, 38, 39, 43
Week 7
◦§3.9: 13, 16, 20, 23, 25, 29, 31, 33, 35, 38, 39, 40, 43, 44 (Several of these are repeats from last week.)
◦§3.10: 1, 5, 23, 27, 28, 31, 42, 43
◦Problems Plus, Chapter 3: 30, 31
•Course Notes §1: Exercises 1, 2, 3, 4, 5 (Click odd numbered exercises for solutions.)
Week 8
•Course Notes §2: Exercises 1, 2, 3, 4 (click odd-numbered exercises for solutions)Solutions to even problems
•§4.1: 9, 11, 19, 21, 27, 33, 34, 39, 41, 52, 53, 57, 59, 61, 70, 75
Week 9
•§4.1: 9, 11, 19, 21, 27, 33, 34, 39, 41, 52, 53, 57, 59, 61, 70, 75
•Alternate solutions to 19, 21, 27 and some notes on local extrema and critical points
Week 10
•§4.2: 5, 7, 11, 14, 15, 19, 22, 23, 26, 27, 30, 31, 34, 35
•Problems Plus, Chapter 4: 2, 11
•§4.3: 5, 7, 11, 12, 13, 15, 20, 25, 27, 35, 41, 43, 50, 51, 67, 68, 81
Week 11
•§4.5: 17, 19, 23, 31, 35, 37, 48, 49, 56, 59, 65, 67, 68
•§4.7: 11, 13, 19, 24, 25, 30, 31, 37, 43, 46, 47, 49, 65, 67, 70
•§4.8: 5, 7
Week 12 (no quiz on problems from this week)
•§4.8: 11, 15, 18, 23, 24, 31, 37
•§4.9: 3, 5, 13, 19, 25, 28, 31, 37, 44, 57, 58, 61, 67, 73, 74
•Problems Plus, Chapter 4: 13
Final Exam Review Materials
◦Learning objectives - a list of topics, plus practice problems for each.
◦Information about the final exam - including exam format and a list of topics that will NOT be covered on the final exam.
◦“Warnings” - A list of common, but serious first-year calculus errors. (You do not need to know L’Hopital’s Rule for the final exam.)
Final exams from previous years:
Solution sets: The Math Club has printed past exam packages and they will be on sale starting next week from Monday to Friday, 11am - 3pm at the Math Club in MATX 1119. The exam packages are $5 for members and $10 for non members. (A membership costs $2.) For more information, see their webpage, http://www.ubcmathclub.org/exams.php.
Section 102, 2010 Winter Term 1