Text and syllabus
James Stewart, Calculus. Brooks/Cole, fifth edition,
2003
The course covers most of the content of Chapters 6, 7, 8, 9, 11, 12.
Math 104
syllabus, old exams, etc.
Lectures
Group 006 sections, TR 12:00-1:15 PM, DRLB A1.
Group 007 sections, TR 1:30-2:45 PM, DRLB A1.
Office hours
Feel free to make use of any of the following office hours (even if it is not your TA).
Erik van Erp (instructor): DRL 4E3, Tuesday, 3-4 PM and Thursday, 10:30-12 AM.
Jonathan Nukpezah (TA): DRL 4N9, Tuesday, 4-5 PM, and Thursday, 5-6 PM.
Karl Hakan Nordgren (TA): DRL 4N33, Monday, 4-5 PM, and Friday, 3:30-4:30 PM.
Ketaki Bhawe (TA): DRL 4N9, Wednesday, 10-11 AM, and Friday 11-12 AM.
Pranav Pandit (TA): DRL 4N25, Monday, 12-1 PM, and Thursday, 10:30-11:30 AM.
Exams
Three mid-term exams will be given in class, on the following
dates:
Mid-term I: Tuesday, October 3. (sections 6.1-6.3, 6.5, and 7.1-7.4)
Mid-term II: Thursday, November 2. (sections 7.5, 7.7, 8.1-8.5, 8.7, 8.8, 9.1, 9.2, 9.5)
Mid-term III: Thursday, December 7 (sections 11.1-11.4, 12.1-12.10)
Since all mid-term exams will be given in class, there will be no
make-up exams for these mid-terms!
Final exam: Thursday, December 14, 12-2 PM
Group 006, students of Ketaki Bhawe: Towne Bldg, room 100
Group 006, students of Jonathan Nukpezah: Meyerson Hall, room B3
Group 007, students of Hakan Nordgren and Pranav Pandit: Meyerson Hall, room B1
The final exam is a comprehensive exam, and common among all Math 104
sections (all eight groups).
For examples of past mid-term exams, see Dr. Ward's math 104 web site. (Scroll down; the Spring and Fall 2006 exams on Dr. Ward's web site are a good indication of what to expect in this class.)
Examples of past final exams can be found on the math 104 general web site.
No calculators are allowed on exams. You can use a two-sided "cheat sheet" (8 by 11 inches).
Final exam review
Review session: Paul Rowe, Monday, Dec 11, DRL A2, 6-9PM
Office hours: Erik van Erp, Wednesday, Dec 13, DRL 4E3, 4-6PM
Review session: Chris Wingard, Wednesday, Dec 13, DRL A8, 8:30-10:30PM
Final exam topics
Know elementary functions and their derivatives
Know standard integrals
Methods of integration: u-substitution, integration by parts, trig integrals, trig substitutions, partials fractions (simple examples)
Improper integrals
Graph of a function: tangent lines, areas, arc length
Solids of revolution: volume (method of disks and shells), surface area
Parametrized curves: tangent lines, arc length
Polar coordinates: arc length and areas; know basic shape of `flowers' and `limacons'
Limits of functions (x) and sequences (n), l'Hospital's rule
Geometric series
Convergence or divergence for series: divergence test, comparison test, ratio test, integral test
Conditional v. absolute convergence for alternating series
Power series: find interval of convergence
Know standard series: 1/(1-x), e^x, cos(x), sin(x), ln(1+x)
Manipulation of standard series to get MacLaurin series (substitution, differentiation, integration)
Taylor's formula for the coefficients in a power series
Grade
The final grade for the course will be a composite of the homework and
exam scores.
There are no quizzes.
The formula used to determine the course grade is as follows:
Numerical Score = 1/6 Homework + 1/6 for each of the three Mid-term Exams + 1/3 Final Exam.
Your letter grade depends on the curve for the class, which is determined by the results of the final exam.
Diagnostic test
Although I would like everyone to do well in my class, it is a fact that Math 104 is not a typical Calculus I course.
It is assumed that you are very familiar and comfortable with high school calculus (AB level).
To self-assess whether you need to take Math 103, do the diagnostic test that your TA has handed out.
Here is the answer key.
Part I: 1e, 2c, 3b, 4a, 5e, 6a, 7b, 8a, 9e, 10d, 11d, 12e, 13e, 14e, 15a.
Part II: 1c, 2d, 3b, 4a, 5c, 6b, 7c, 8a, 9c, 10b, 11b, 12d, 13e, 14a, 15c, 16a, 17e, 18e, 19c, 20c.
You should get most of Part I correct, and at least 10 correct answers on Part II. If your score on Part II is below 10, you are probably better of in Math 103. If your score ranges from 10-14, talk to your TA or to me to determine what you need to review to do well in the class. If you score 15 or above, you are probably ok.
Math workshop
Chris Wingard is the workshop leader for Math 104. The workshop is intended to be an open workshop, so anyone from any section may attend. The workshop meets in DRL 4E9, Wednesdays 3-4:30 and Fridays 2-3:30.
Homework and exam solutions
Solutions to Mid-term Exam I (sections 6.1-6.3, 6.5, and 7.1-7.4)
Solutions to Mid-term Exam II (sections 7.5-7.7, 8.1-8.5, 8.7, 8.8, 9.1, 9.2, 9.5)
Solutions to Mid-term Exam III (sections 11.1-11.4, 12.1-12.10)
Solutions for Homework set 1
Solutions for Homework set 2
Solutions for Homework set 3
Solutions for Homework set 4
Solutions for Homework set 5
Solutions for Homework set 6
Homework Assignments
All homework assignments are collected by your TA.
Once homework is assigned, you always have at least one week to complete it (the exact policy is set by your TA).
Grading: For each homework assignment, two problems from the book will be selected at random and graded. The numerical grade for each assignment consists of 2 points for effort (if you attempted and handed in the complete set of problems), and 4 points each for the graded problems (if done correctly), making a maximum total of 10. In addition, all exam style mutliple choice problems will be graded (no partial credit here), also counting for a possible total of 10.
For problems from Chapter 8, 9, and 11, it is useful to have a reference
Table of Integrals.
(This table was last updated on Oct 30)
HW11: Due Thu, Dec 7
Section 12.8: 4, 6, 10, 16
Section 12.9: 4, 8, 10, 12
Section 12.10: 4, 10, 14, 24, 28
No multiple choice problems this time.
Practice problems (do not hand in): section 12.8: 1-27 odds; section 12.9: 1-18 even and odds; section 12.10: 1-31.
HW10: Due Thu, Nov 30
Section 12.5: 10, 12, 14, 16, 18
Section 12.6: 2, 4, 12, 14, 16
No multiple choice problems this time.
Practice problems (do not hand in): section 12.5: 1-19 odds; section 12.6: 1-19; section 12.7: 1-29 odds, except 21.
HW9: Due Tue, Nov 21
Section 12.1: problems 26, 28, 32, 36
Section 12.2: problems 18, 20, 24, 30
Section 12.3: problems 4, 20, 28
Section 12.4: problems 6, 10, 12, 24
Also hand in these multiple choice problems.
Practice problems (do not hand in): section 12.1: 3-39 odds; section 12.2: 3-31 odds; section 12.3: 3-27 odds; section 12.4: 3-31 odds.
HW8: Due Tue, Nov 14
Section 11.3: problems 12, 34, 40
Section 11.4: problems 6, 8, 14, 18, 26, 48
Also hand in these multiple choice problems.
Practice problems (do not hand in): section 11.3: 1-11 odds, 29-45 odds; section 11.4: 5-33 odds, 45, 47.
HW7: Due Tue, Nov 7
Section 9.1: problems 2, 4, 10
Section 9.2: problems 6, 8, 25
Section 9.5: problems 4, 8
Section 11.1: problems 2, 8, 12
Section 11.2: problems 4, 20, 30, 48
(No multiple choice problems this time)
Practice problems (do not hand in): section 9.1: 1-19 odds; section 9.2: 1-15 odds; section 9.5: 1-9 odds; section 11.1: 1-21 odds; section 11.2: 1-9 odds, 17, 19, 41-47 odds, 57, 59.
HW6: Due Thu, Oct 26
Section 8.4: 2, 10, 12, 22
Section 8.5: 4, 12, 14, 18
Section 8.7: 3, 6, 29, 30
Section 8.8: 2, 6, 18, 38
Also hand in these multiple choice problems.
Practice problems (do not hand in): section 8.4: 7-21 odds; section 8.5: all odd problems; section 8.7: 1-21 odds; section 8.8: 1-39 odds.
HW5: Due Tue, Oct 17
Section 8.2: problems 20, 42
Section 8.3: problems 2, 4, 6, 12, 16, 20, 30
Also hand in these multiple choice problems.
Practice problems (do not hand in): section 8.3: 1-29 odds.
HW4: Due Tue, Oct 10
Section 7.7: problems 10, 18, 28, 34, 42
Section 8.1: problems 10, 14, 16, 22, 26
Section 8.2: problems 2, 10, 14, 18, 24
Also hand in these multiple choice problems.
Practice problems (do not hand in): section 7.7: 1-41 odds; section 8.1: 1-35 odds; section 8.2: 1-47 odds.
HW3: Due Tue, Oct 3
Section 7.3: problems 8, 12, 30, 56, 66
Section 7.4: problems 6, 10, 28, 48, 70
Section 7.5: problems 3, 23, 29, 45, 63
Section 7.6: problems 3, 33, 35, 39
Also hand in these multiple choice problems.
Recommended for practice (do not hand in): section 7.3: 1-37 odds, and 51-67 odds; section 7.4: 1-37 odds; section 7.5: 1-45 and 59-69 odds; section 7.6: 1-17 and 31-47 odds.
HW2: Due Tue, Sep 26
Section 6.3: problems 1, 2, 16, 17
Section 6.5: problems 2, 7
Section 7.1: problems 29, 35, 39, 43
Section 7.2: problems 29, 33, 71, 73
Also hand in these multiple choice problems.
Recommended for practice (do not hand in): section 6.3: 1-25 odds; section 6.5: 1, 3, 5; section 7.1: 1-43 odds; section 7.2: 1-43 odds, and 71-77 odds.