MATH 104 (Fall 2011)
Instructor's contact information
Michael Robinson
3C5 David Rittenhouse Lab
(215)898-6285
robim at math (dot) upenn {dot} edu
Office hours: Tuesdays and Thursdays 11 am until noon, or by appointment (please contact me 24 hours in advance to make arrangements)
My research website http://www.drmichaelrobinson.net/
Feel free to contact me with any questions (course-related or not)
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 Thomas Calculus: Early Transcendentals, Custom Edition for the University of Pennsylvania Pearson 2011.
You must staple your assignments before submission; points will be deducted otherwise! Homeworks are due on the dates listed, at the beginning of lecture.
Homework 1, due September 13: Required: (5.6) 50, 58, (6.1) 6, 18, 38, suggested: (6.1) 4, 11, 15, 22, 37, 45, 51, 57, 61, 63
Homework 2, due September 20: Required: (6.2) 16, 40 (6.3) 22, 32, suggested: (6.2) 7, 23, 29, 46 (6.3) 11, 19, 27, 29 (6.4) 5, 9, 14, 21, 27, 30, 32.
Homework 3, due September 27: Required: (6.4) 14 (6.6) 10, 30, 44 suggested: (6.6) 15, 19, 23, 34, 37
Homework 4, due October 4: Required: (8.1) 4, 10, 34, 56, 68, suggested: (8.1) 3, 21, 25, 33, 51, 54, 60, 61, 67
Homework 5, due October 13: Required: (8.2) 2, 10, 40 (8.3) 10, 50, suggested: (8.2) 1, 19, 24, 33, 44, 51, 64, 70, 74 (8.3) 8, 29, 15, 35, 49, 53, 58(
Homework 6, due October 18: Required: (8.4) 2, 18, 34, 40, 60, suggested: (8.4) 1, 13, 21, 39, 53, (8.5, for additional practice) 3, 27, 43, 52, 58, 62, 64.
Homework 7, due October 25: Required: (8.6) 2, 20, 34 (8.7) 14, 66, (supplement) 10, 34, suggested: (8.6) 1, 13, 25, 27, 28, 31, 36 (8.7) 5, 51, 36, 55, 67, 74, 77, (supplement) 16, 23, 24, 27, 43, 51.
Homework 8, due November 1: Required: (10.1) 8, 32 (10.2) 14, 38, 50, suggested: (10.1) 1, 7, 15, 27, 46, 91, 99, 101, 104, 106, 121, 133, 134 (10.2) 1, 9, 17, 20, 36, 41, 52, 69, 79, 91, 94.
Homework 9, due November 8: Required: (10.3) 14, 40, (10.4) 16 (10.5) 28, suggested: (10.3) 5, 20, 41, 47, 50, 55, 57 (10.4) 1, 9, 17, 46, 59, 63 (10.5) 3, 11, 20, 45, 57, 65.
Homework 10, due November 15: Required: (10.6) 10, 44 (10.7) 10, 34, 52, suggested: (10.6) 9, 15, 37, 42, 49, 54 (10.7) 1, 19, 37, 42, 49, 54
Homework 11, due November 22: Required: (10.8) 4, 22 (10.9) 14, 36, suggested: (10.8) 3, 15, 26, 41 (10.9) 1, 11, 29, 40, 47, 52 (10.10) 3, 15, 23, 27, 33, 41, 55, 59, 65, 67
Homework 12, due December 6: Required: (9.1) 8, 12 (9.2) 4, 16, 22, suggested: (9.1) 1, 2, 3, 4, 7, 12, 29, 35, 39 (9.2) 1, 15, 23, 26, 27, 29 (9.3) 1, 4, 13, 16 (7.2) 3, 9, 23, 26, 29, 34, 37, 44, 46
The course meets almost every Tuesday and Thursday from 1:30-3:00pm in DRL A1.
Below is a listing of sections of the textbook sections planned for each lecture day.
Volumes and Areas
September 8: Review and introduction (Section 5.6, 6.1)
September 13: Computing volumes (Section 6.1-6.2)
September 15: Arc length (Section 6.3)
September 20: Surface area of revolution (Section 6.4)
September 22: Probability and Centroids (Section 6.6)
September 27: Midterm exam 1 (Sections 6.1-6.4,6.6)
Techniques of Integration
September 29: Integration by parts (Section 8.1)
October 4: Trigonometric integrals (Section 8.2-8.3)
October 6: Partial fractions (Section 8.4)
October 13: Numerical integration (Section 8.6)
October 18: Improper integrals (Section 8.7)
October 20: Probability (Supplemental section)
October 25: Midterm exam 2 (Sections 8.1-8.4,8.6-8.7)
Sequences and Series
October 27: Sequences and series (Section 10.1-10.2)
November 1: Convergence tests, (Section 10.3-10.4)
November 3: More Convergence tests (Section 10.4-10.5)
November 8: Alternating series, conditional convergence (Section 10.6)
November 10: Power series (Section 10.7)
November 15: Taylor expansions (Section 10.8)
November 17: More Taylor expansions (Section 10.9)
November 22: Even more Taylor expansions (Section 10.10)
November 29: Midterm exam 3 (Sections 10.1-10.10)
Differential Equations
December 1: Differential equations (Section 9.1 and 9.2)
December 6: Applications of differential equations (Section 7.2 and 9.3)
December 8: Review for the final
Final exam: December 14, 9am-11am, location TBD
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 from the following components:
10% Recitation quizzes
20% Homework
40% Midterm exams (each has the same weight)
30% 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.