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
TR 3-4:15 PM, DRL A4.
Office hours
Erik van Erp (instructor): DRL 4E3, Thursday, 1-3 PM.
Andrew Bressler (TA): DRL 4C11, Tuesday 2-3 PM, Friday 1-2 PM.
Math workshop and Review Sessions
Tuesday and Thursday, DRL 3C4, 7:30-9:00 PM
This workshop, led by Bari Dane, provides free tutoring specifically for students in Dr. Van Erp's Math 104 class. You can walk in any time.
Also, starting after Spring Break, every weekend there will be a Sunday night review, throughout the remainder of the term. These are always n Sunday evenings, 6-8 PM, in DRL room A8.
Useful link: Calculus help at Penn.
Exams
Mid-term I: Wednesday, February 7, DRL A1, 5:00-5:50 PM
==> Make-up exam: Wednesday, February 7, DRL 4C2, 4:00-4:50 PM
Mid-term II: Wednesday, March 14, College Hall 200, 5:00-5:50 PM
==> Make-up exam: Wednesday, March 14, DRL 4C2, 4:00-4:50 PM
Mid-term III: Wednesday, April 11, Logan Hall 17, 5:00-5:50 PM
==> Make-up exam: Wednesday, April 11, DRL 4C2, 4:00-4:50 PM
Final exam: Thursday, May 3, Huntsman Hall G06, 12-2 PM
Mid-term I covers Chapters 6 and 7 (excluding section 6.4)
Mid-term II covers Chapters 8 and 9 (excluding sections 8.6, 8.7, 9.3, 9.4)
Mid-term III covers Chapters 11 and 12 (up to and including 12.7)
The Final exam is comprehensive (same material as mid-terms, plus 12.8, 12.9, 12.10)
No calculators are allowed on exams. You can use a two-sided "cheat sheet" (8 by 11 inches).
Exam solutions
Solutions to Mid-term Exam I
Past Exams
Below are links to the mid-term exams (with solutions), from my Math 104 class of Fall 2006. They can be used as practice material.
Fall 2006, Mid-term Exam I (sections 6.1-6.3, 6.5, and 7.1-7.4)
Fall 2006, Mid-term Exam II (sections 7.5-7.7, 8.1-8.5, 8.7, 8.8, 9.1, 9.2, 9.5)
Fall 2006, Mid-term Exam III (sections 11.1-11.4, 12.1-12.10)
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.
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.
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.
Detailed syllabus of final exam topics
Know basic identities and derivatives for: exp, ln, sin, cos, tan, sec, arcsin, arctan, sinh, cosh, tanh
Know standard integrals
Methods of integration: u-substitution, integration by parts, trig integrals, trig substitutions, partials fractions
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
Homework Assignments
For problems from Chapter 8, 9, and 11, it is useful to have a reference
Table of Integrals.
HW13: Due Fri, Apr 20
Practice problems (do not hand in):
section 12.8: 1-25 odds (skip 19, 21);
section 12.9: 1-25 odds;
section 12.10: 1-33 odds;
Hand in for a grade: multiple choice problems.
HW12: Due Fri, Apr 13
Practice problems (do not hand in): section 12.6: 1-19 odds; section 12.7: 1-29 odds (skip 15, 21).
Hand in for a grade: multiple choice problems.
HW11: Due Wed, Apr 4
Practice problems (do not hand in): section 12.2: 3-31 odds; section 12.3: 3-27 odds; section 12.4: 3-31 odds; section 12.5: 1-19 odds.
Hand in for a grade: multiple choice problems.
HW10: Due Wed, Mar 28
Practice problems (do not hand in): section 11.3: 1-11 odds, 29-45 odds; section 11.4: 5-21 odds, 45, 47; section 12.1: 3-39 odds.
Hand in for a grade: multiple choice problems.
HW9: Due Wed, Mar 21
Practice problems (do not hand in): section 11.1: 1-21 odds; section 11.2: 1-9 odds, 17, 19, 41-47 odds, 57, 59.
Hand in for a grade: multiple choice problems.
HW8: Due Wed, Mar 14
Practice problems (do not hand in): section 9.1: 1-19 odds; section 9.2: 1-15 odds; section 9.5: 1-9 odds.
Hand in for a grade: multiple choice problems. (<== Cancelled)
HW7: Due Wed, Feb 28
Practice problems (do not hand in): section 8.5: 1-69 odds (skip 17, 19, 25, 31, 41, 59, 65); section 8.8: 1-39 odds.
Hand in for a grade: multiple choice problems.
HW6: Due Wed, Feb 21
Practice problems (do not hand in): section 8.3: 1-29 odds; section 8.4: 1-21 odds.
Hand in for a grade: multiple choice problems.
HW5: Due Wed, Feb 14
Practice problems (do not hand in): section 8.2: 1-33 odds.
Hand in for a grade: multiple choice problems.
HW4: Due Fri, Feb 9
Practice problems (do not hand in):
section 7.6: 1-11 and 31-41 odds;
section 7.7: 5-43 odds;
section 8.1: 1-35 odds.
Hand in for a grade: multiple choice problems.
HW3: Due Wed, Jan 31
Practice problems (do not hand in):
section 7.3: 1-37 and 51-67 odds;
section 7.4: 1-37 odds;
section 7.5: 1-45 and 59-69 odds.
Hand in for a grade: multiple choice problems.
HW2: Due Wed, Jan 24
Practice problems (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.
Hand in for a grade: multiple choice problems.
HW1: Due Wed, Jan 17
Practice problems (do not hand in): 6.1: 1-29 odds, and 6.2: 1-35 odds.
Hand in for a grade: multiple choice problems.