Syllabus for MATH 1342, Calculus 2 for Science and Engineering
Northeastern University, Spring 2012
INSTRUCTOR: Dr. Maxim Braverman
CONTACT INFO:
office: 457 LA phone: 617-373-8769 e-mail: maximbraverman@neu.edu web site: http://www.math.neu.edu/~braverman/
OFFICE HOURS:
Monday and Thursday: 10:40-11:40 pm Other times: By appointment
TEXTBOOK: Worldwide Integral Calculus, with infinite series, by David B. Massey
PDF and printed versions available at: http://www.centerofmath.org/intcalc.html
The PDF is priced at $9.95, while the black and white (grayscale) soft-back printed version is $29.95. The PDF textbook contains a link, at the beginning of each section, to one or more free video lectures, by Prof. Massey, on the contents of that section. The PDF has hyperlinked Tables of Contents, Indices, and cross-references; you may need to activate the Forward and Back buttons in your PDF viewer to take full advantage of the hyperlinks. To use the textbook on an iPad, we recommend the GoodReader app (despite the recent large price increase to $4.99). The PDF textbook includes a separate PDF study guide. If you want local copies of the videos, you can order the PDF’s plus all of the videos on DVD or flash drive.
It is absolutely NOT required that you purchase a printed textbook.
HOMEWORK AND QUIZZES: Homework will be assigned daily, but will not be collected. To make sure that students are keeping up with the homework, there will be 8-15 short pop quizzes during the semester. Each quiz will be unannounced, and will consist of 1-3 problems taken verbatim from any of the homework assignments up to that point, though the emphasis will be on homework assigned since the the last pop quiz. It will, therefore, be incredibly important for students to do the assigned homework before the next class meeting. Thus, if you have a lot of questions on the homework, it will be essential for you to come to my office hours, make special appointments to see me, go to our TA’s office hours, or go for tutoring in the Mathematics Department or in the College of Engineering.
MIDST-TERMS AND FINAL EXAMS: There will be one midst-term exam, and a final exam in this course. The midst-term exam is 65-minute in-class exams; they will be on Monday, February 27th. The final exam date is to be determined. Check for exam schedule conflicts as soon as possible.
GRADING: The course grade will be determined as follows:
Final exam: 40%
Midst-term exam: 30%
Pop quizzes: 30%. I will drop your worst two quiz grades.
Letter grades are determined numerically:
A > 92 , 92 >= A- > 89, 89 >= B+ > 86, 86 >= B > 82, 82 >= B- > 79, 79 >= C+ > 76, 76 >= C > 72, 72 >= C- > 69, 69 >= D+ > 66, 66 >= D > 62, 62 >= D- > 59, F =< 59
Any curve will be a curve of the numerical grade, leading to a changed letter grade.
ADDITIONAL RESOURCES:
Course TA’s: to be determined
The Mathematics Department Tutoring Center is in Room 540B, Nightingale Hall. Tutoring should begin there two weeks after the start of classes. The tentative schedule is 10am-9pm on Mondays, Tuesdays, and Wednesdays; 10am-6pm on Thursdays; and 10am-1pm on Fridays. This is walk-in tutoring; no appointment is necessary. If there is a discrepancy between how the tutors present material and how your instructor presents material, you should follow your instructor’s presentation, but you should discuss the matter with your instructor.
The College of Engineering also provides tutoring for Calculus. The times and location are to be determined.
The PDF textbook contains links at the beginning of each section to online full-length, free, video lectures on the contents of that section. These videos can also be accessed directly by going to http://www.centerofmath.org/video.html . If there is a discrepancy between how the videos present material and how your instructor presents material, you should follow your instructor’s presentation, but you should discuss the matter with your instructor.
There is a study guide which is downloaded at the same time as the textbook pdf. This study guide is available in app form at the iTunes Store for $0.99.
An independent video-tutoring company, Kahn Academy, has produced a large collection of free, short video tutorials and examples on many topics, including Calculus; the url is http://www.khanacademy.org/ . If there is a discrepancy between how the videos present material and how your instructor presents material, you should follow your instructor’s presentation, but you should discuss the matter with your instructor.
ISSUES WITH THE COURSE/INSTRUCTOR: If you have issues with this course and/or instructor which you are not comfortable discussing with your instructor, you should contact the course coordinator, Prof. Massey, at d.massey@neu.edu, or the Director of Undergraduate Studies, Prof. D. King, at d.king@neu.edu .
Schedule of Topics and Suggested Homework Exercises
Week 1: Jan. 9-13
§1.1 Recall anti-derivatives #2, 3, 5, 11, 19,
§1.1 Integration by Parts #32, 33, 34, 36, 37, 39, 41, 43, 55
§1.3 Integration by Partial Fractions #1, 3, 7, 11, 13
Monday, January 16, Martin Luther King, Jr.'s birthday, no classes
Week 2: Jan. 17-20
§2.1 Sums and Differences #1, 2, 5, 12, 16, 19, 29
§2.2 Prelude to the Definite Integral #1, 17, 19, 20, 21, 25, 28, 31, 37
Week 3: Jan. 23-27
§2.3 The Definite Integral #1, 2, 3, 8, 9, 14-16, 23, 35, 39
§2.4 The Fundamental Theorem of Calculus #1, 2, 3, 10, 11, 15-17, 23, 24, 41
Monday, January 30, last day to drop without a W grade
Wednesday, February 1, last day to file a Final Exam Conflict form
Week 4: Jan. 30-Feb. 3
§2.5 Improper Integrals #1, 4, 5, 9-11
§2.6 Numerical Techniques #1, 20, 23, 25, 26
§3.1 Displacement and Distance Traveled #1, 2, 10, 11, 19, 26, 32, 45, 46
Week 5: Feb. 6-10
§3.2 Area in the Plane #1, 3, 6, 8, 11, 14, 19, 36
Read Appendix A: Vectors in the Plane and in Space
§3.3 Distance Traveled in Space and Arc Length #1, 3, 19, 21, 24, 44
§3.4 Area Swept Out and Polar Coordinates #1-3, 7, 9, 10, 13, 14
Week 6: Feb. 13-17
§3.5 Volume #1, 2, 8-11, 13, 28, 29, 39, 48, 51
§3.7 Mass and Density #7, 15, 18, 25, 27
§3.8 Centers of Mass and Moments #7, 8, 15, 16, 21
Monday, February 20, President's Day, no classes
Week 7: Feb. 21-24
§3.9 Work and Energy #1, 3, 5, 8, 9, 13, 23, 25, 29, 39, 42
Review
Week 8: Feb. 27-March 2
midst-term exam
§4.1 Approximating Polynomials #1-3, 7-11, 15, 16, 20
§4.2 Approximation of Functions by Polynomials #1-3, 6, 9, 11, 16, 19-21, 23, 32
Saturday, March 3-Sunday, March 11, Spring Break, no classes
Week 9: March 12-16
§4.3 Error in Approximation by Polynomials #1, 2, 5, 13, 21
§4.4 Functions as Power Series #1-3, 5, 7, 11, 13, 15
§4.5 Power Series as Functions I #1, 3, 6, 8, 10, 13, 14, 16, 23
Week 10: March 19-23
§4.6 Power Series as Functions II #1, 3, 5, 10-14, 16, 27, 35-37, 40, 44
§5.1 Theorems on Sequences #1-9, 17, 19, 20, 27, 28, 30
Week 11: March 26-30
§5.2 Theorems on Series I #1-5, 11-13, 21-26, 31-33, 45, 47, 51, 52, 55
§5.3 Theorems on Series II #2-7, 11-13, 17, 19, 22-25, 27, 29, 31, 33, 35, 38, 40, 42
Week 12: April 2-6
§5.4 Theorems on Series III #1-5, 9, 10, 13, 15, 21, 22, 33-36, 42
Week 13: April 9-13
Review
Monday, April 16, Patriot's Day, no classes
Week 14: April 17-18
Review
Friday, April 20 and Monday, April 23-27, Final Exams