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 1:30-3:00 PM, DRL A1.
Office hours
Erik van Erp (instructor): DRL 4E3, Wednesday 11 AM - 1 PM.
Jamol Pender (TA): DRL 4N13, Monday 3-4 PM, Thursday 1:30-2:30 PM.
Dragos Deliu (TA): DRL 4N25, Wednesday 10-11 AM and 2-3 PM
Math workshop and Review Sessions
Math Workshop, by Bari Dane: Tuesdays, Williams 201, 6:30-8 PM.
This workshop will provide free tutoring specifically for students in Dr. Van Erp's Math 104 class. You can walk in any time.
Sunday Night Review, by Peter Dalokov: Sundays, DRL A1, 7-9 PM.
Check the link Calculus help at Penn for various other forms of help that are available for calculus students at Penn.
Exams
Mid-term I (Chapters 6 and 7, excluding 6.4): Tuesday, October 2, 5-6 PM.
Location for Mid-Term I:
sections 271-274 (Dragos) in COLL 200,
sections 275-278 (Jamol) in DRL A8
Mid-term II (Sections 8.1-8.5, 8.8, 9.1, 9.2): Wednesday, October 31, 5-6 PM, CHEM 102
Mid-term III (Chapters 11 and 12, up to 12.7): Wednesday, November 28, 5-6 PM, CHEM 102
Final exam: Wednesday, December 12, 9-11AM, location to be announced.
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).
Past Exams
Below are links to the mid-term exams (with solutions), from my Math 104 classes of Fall 2006 and Spring 2007. They are useful 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)
Spring 2007, Mid-term Exam I (Chapters 6, 7)
Spring 2007, Mid-term Exam II (Chapters 8, 9)
Spring 2007, Mid-term Exam III (Chapters 11, 12)
Grade
The final grade for the course will be a composite of the homework and
exam scores.
There are no graded 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 during the first recitation session.
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, please come and see me so we can discuss what you need to review to do well in the class. To be safe, you should score 15 or above.
Detailed syllabus of exam topics (use as check list)
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
Binomial formula
Homework Assignments
Homework assigments will be posted on this web site once a week, generally on Thursday.
Multiple choice problems are due a week after they have been assigned. Your TA will set the policy for homework collection.
Text book problems are strongly recommended for practice. You can check your ansers in the back of the book. Do not hand in these problems; they will not be graded. However, everyone is strongly urged to do all these problems, since this is the only way to develop the skill you will need on exams.
Multiple choice problems must be handed in for a grade. In general, you would not attempt these problems until you have completed the text book problems. To receive credit for your homework, you must show supporting work. Nevertheless, no partial credit is given on multiple choice problems.
HW12: (not for a grade)
Text book (odd problems):
section 12.10: 1-33;
section 12.11: 1, 3, 5, 7, 11, 15.
There is no more homework to hand in for a grade.
HW11: Due Wed Dec 5
Text book (odd problems):
section 12.8: 1-25 (skip 19, 21);
section 12.9: 1-25.
For a grade, hand in these Homework problems for sections 12.6, 12.7, 12.8.
HW10-and-a-half
Some homework for the holidays.
These problems are part of the recommended practice for midterm exam III.
No homework needs to be turned in this time.
Text book (odd problems):
section 12.6: 1-19;
section 12.7: 1-29 (skip 15, 21, 23).
HW10: Due Wed Nov 21
Text book (odd problems):
section 12.2: 9-31 (excluding 23);
section 12.3: 3-23;
section 12.4: 3-27;
section 12.5: 1-15.
For a grade, hand in these Homework problems for sections 12.2, 12.3, 12.4, 12.5.
HW9: Due Wed Nov 14
Text book (odd problems):
section 11.3: 1-11, 29-45;
section 11.4: 5-21, 45, 47;
section 12.1: 3-19.
Hand in these Multiple choice problems for sections 11.3, 11.4, 12.1.
HW8: Due Wed Nov 7
Text book (odd problems):
section 9.5: 1-9;
section 11.1: 1-21;
section 11.2: 1-9, 17, 19, 41-47, 57, 59.
Multiple choice problems for section 9.5, 11.1, 11.2.
HW7: Due Wed Oct 31
Text book (odd problems):
section 8.8: 1-39;
section 9.1: 1-19;
section 9.2: 1-15
Multiple choice problems for section 8.8, 9.1, 9.2.
HW6: Due Wed Oct 24
Text book (odd problems):
section 8.5: 1-69 (skip 17, 19, 25, 31, 41, 59, 65);
Multiple choice problems for section 8.5.
HW5: Due Fri Oct 19
Text book (odd problems):
section 8.3: 1-29;
section 8.4: 1-21.
Multiple choice problems for sections 8.3, 8.4.
HW4: Due Wed Oct 10
Text book (odd problems):
section 8.1: 1-35;
section 8.2: 1-33 (excluding 23, 25).
Multiple choice problems for sections 8.1, 8.2.
HW3: Due Wed Oct 3
Text book (odd problems):
section 7.5: 1-13, 23-31, 43, 45 and 59-69;
section 7.6: 1, 3, 7, 9, 31, 33, 41, 43;
section 7.7: 5-37, 41.
Multiple choice problems for sections 7.5, 7.6, 7.7.
HW2: Due Wed Sep 26
Text book (odd problems): section 6.5: 1, 3, 5; section 7.1: 21-31, 37-43; section 7.2: 1-9, 29-39, 71-77; section 7.3: 3-17, 23-35, 61-67; section 7.4: 3-9, 13, 17, 19, 23, 27, 41-47.
Multiple choice problems for sections 6.5, 7.1--7.4.
HW1: Due Wed Sep 19
Text book: 6.1: 1-29 odds; 6.2: 1-35 odds; 6.3: 1-25 odds.
Multiple choice problems for sections 6.1, 6.2, 6.3.