MATH 104 (Fall 2010)
Instructor's contact information
Michael Robinson
3C5 David Rittenhouse Lab
(215)898-6285
robim at math (dot) upenn {dot} edu
Office hours: Monday 11am-12, Thursday 1-2pm, Friday 11am-12, or by appointment (please give 24 hour notice)
My research website http://www.drmichaelrobinson.net/
Feel free to contact me with any questions (course-related or not)
TA contact information
Zhuo "Jimmy" Wang
1N1 David Rittenhouse Lab
wangzhuo at sas dot upenn dot edu
jswangzhuo at gmail dot com
http://www.math.upenn.edu/~wangzhuo/
Office hours: Thursdays, 4-6pm
Special office hours: Friday, 5 November 2-4pm
Ross Berkowitz
4N11 David Rittenhouse Lab
rosskb (at) sas dot upenn dot edu
Office hours: Thursdays, 4-6pm
Quick Links
Course description
Homework assignments
Course schedule
Information about exams
Some useful links
Course policies
Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem. Use of symbolic manipulation and graphics software in calculus.
The course textbook is Stewart, Calculus, 6th edition.
Homework assignments will be posted here, so please check often!
With the exception of the last assignment, they will be collected each Monday at the beginning of lecture, and returned in recitation. You must staple your assignments before submission; points will be deducted otherwise!
Homework 1, due September 13: 2.5: 38, 44, 60; 3.1: 14, 36; 3.5: 48; 3.7: 14; 5.1: 2, 26; 5.2: 10, 30, 36, 56
Homework 2, due September 20: 5.3: 8, 12, 26; 5.4: 10, 24, 60; 5.5: 4, 16, 38; 6.1: 4, 8, 26, 30, 34, 43, 46
Homework 3, due September 27: 6.2: 14, 22, 34, 45, 50, 66; 6.3: 2, 6, 18, 26, 34, 39, 44; 6.5: 2, 4, 10, 14, 18, 22
Homework 4, due October 4: 8.1: 2, 12, 18, 22, 34, 46, 56, 62; 8.2: 4, 14, 52, 58; 8.3: 2, 22, 36, 40; 8.4: 2, 8, 24, 36, 44, 52, 56, 62
Homework 5, due October 18: 8.6: 2, 8, 14, 32, 36; 8.7: 2, 10, 20, 26, 31, 32, 36
Homework 6, due October 25: 8.8: 2, 4, 6, 22, 36, 48, 50, 59, 68; 9.1: 4, 8, 14, 18, 20, 22, 26, 32, 34, 38; 9.2: 2, 6, 16, 18, 28
Homework 7, due November 1: 9.3: 2, 4, 12, 18, 22, 26, 30, 36, 40; 9.4: 2, 4, 6, 8, 14, 18; 9.5: 4, 8, 10, 14, 16
Homework 8, due November 8: 10.1: 2, 4, 6, 8, 10, 14; 10.2: 2, 3, 4, 5, 6, 12, 18, 22, 28; 10.3: 4, 8, 12, 16, 22, 24, 28, 30, 36, 38, 42
Homework 9, due November 15: 10.4: 2, 4, 6, 8 12, 16, 18; 12.1: 4, 8, 12, 24, 36, 50, 58, 62; 12.2: 4, 8, 14, 24, 36, 42, 58
Homework 10, due November 22: 12.3: 2, 8, 12, 22, 28; 12.4: 2, 4, 10, 18, 22, 28, 34, 38, 40, 46; 12.5: 2, 6, 12, 18, 20, 24, 30, 32, 36
Homework 11, due December 6: 12.6: 2, 6, 10, 14, 18, 26, 30, 38; 12.7: 2, 6, 10, 14, 20, 26, 36; 12.8: 2, 8, 18, 24, 30, 36
Homework 12, due December 10: 12.9: 2, 10, 12, 16, 28; 12.10: 2, 4, 10, 18, 36, 52, 56, 62; 12.11: 2, 6, 24, 28
The course meets almost every Monday, Wednesday, and Friday from 10-11am in DRL A2.
Below is a listing of sections of the textbook sections tentatively planned for each lecture day.
Techniques of Integration
September 8: Review derivatives
September 10: Review integrals, fundamental theorem
September 13: Review substitution for integrals
September 15: 6.1 Areas of interesting regions
September 17: 6.2 Volumes
September 20: 6.3 Cylindrical shells for volumes
September 22: 6.5 Average value
September 24: 8.1 Integration by parts
September 27: 8.2-8.3 Trigonomentric substitution
September 29: 8.4 Integration and partial fractions
October 1: 8.5 Integration strategies and review
October 4: Review
October 6: Exam 1
Applications of integration
October 8: Review of limits and approximation
October 13: 8.6-8.7 Approximate integration
October 15: 8.8 Improper integrals
October 18: 9.1 Arc length:
October 20: 9.2 Area of surfaces of revolution
October 22: 9.3 Applications (Engineering)
October 25: 9.4 Applications (Economics and biology)
October 27: 9.5 Applications (Probability)
October 29: 10.1 Modeling with ODE
November 1: 10.2 Euler's method
November 3: 10.3 Separable equations
November 5: 10.4 Models of population
November 8: Exam 2
Unit 3: Series
November 10: 12.1 Introduction to sequences
November 12: 12.2 Introduction to series
November 15: 12.3 The integral test for series
November 17: 12.4 Comparison tests for series
November 19: 12.5 Alternating series tests
November 22: 12.6 Absolute convergence
November 24: 12.7 Strategies for series
November 29: 12.8 Power series
December 1: 12.9 Function representation as series
December 3: 12.10 Taylor and Maclaurin series
December 6: 12.11 Applications of Taylor series
December 8: Exam 3
December 10: Review for final
Final exam : December 17, 9-11am in Annenberg 110
For each exam, you will be permitted to bring one double sided hand written 8.5 x 11 sheet with handwritten notes on it. Electronic calculators will not be permitted. However, mechanical calculators (such as this or these) are fine.
Calculus start-up tutoring
Academic calendar
Schedule of classes being held in the DRL computer labs
Campus map
Official course information
Old MATH 104 exams
Math department help
Absences
You are expected to attend all the lectures and recitations. There may be unexpected quizzes is recitation or lecture, you may not take these at a different time! Please contact me in advance if you cannot attend, especially in the case of an exam. Missing an exam without appropriate (prior in all but a few situations) authorization is cause for a zero on that exam!
Late homeworks are not accepted without a University-approved excuse.
Grading
The course grade will be determined as follows:
5% Recitation quizzes
10% Homework
15% Exam 1
15% Exam 2
15% Exam 3
40% Final exam
Academic dishonesty
Academic dishonesty is a serious offense. Read Penn's policies. As
applied to this course, you may work together on homeworks, but the
work you turn in must be your own.