MATH V1102: Calculus II, Section 5

Spring 2013

Time and place: Tu,Th 10:10 am - 11:25 am 407 MATHEMATICS BUILDING.
Instructor: Qile Chen (Office 628 Mathematics).
Office hours: Monday 2:00 -- 4:00 pm in 628 Math, or by email appointment.
Email: q_chen@math.columbia.edu

We will start with reviewing some facts of integration from Chapter 5, then we will study techniques of integration from Chapter 7, and some application such as arc length, area from Chapter 8. Parametric equations and polar coordinates will be introduced. Finally we turn to infinite sequences and series. If time allows, we study differential equations from Chapter 9.

We may roughly follow the schedule here (The homework assignments will be different). The actual schedule will be modified according to how the class goes.

Textbook: See Courseworks. Note that WebAssign is required for this section.


The written homework assignments and due days will be posted here: [ Homework ]


Homework: There will be weekly problem sets, due at 3:00 pm on every Tuesday.

The homework consists of two parts, one is the written homework consists of selected exercises from the text book, another one is via WebAssign. Both are counted in your homework grades.

The first problem set is due on Tuesday, Jan. 29. You can put your homework in the homework box located on the fourth floor of the math building (outside Math 407), or hand it to me right after the class. The Midterm and final exams will be closely related to the homework assignments. You should understand how to do every problem correctly.

Collaboration and discussion with your classmates is encouraged, but you must write up assignments individually. You are also encouraged to discuss your homework with me during the office hours.

Late homework will not be accepted.

Exams: There will be two 75-minute midterm exams and a final. To help you prepare for the exams, I will post a problem set before each exam. The dates for the midterms are as follows:

  • First Midterm, Thursday, Feb. 14, in class
  • Second Midterm, Thursday, Apr. 4, in class
  • Final: Tuesday, May 14, 9:00 am - Noon, Math 407. This is scheduled by the university. It must be taken at the scheduled time.
If you have two final examinations scheduled at the same time, it is the responsibility of the other department to provide an alternate exam. Examinations will not be rescheduled because of travel arrangements -- it is your responsibility to schedule travel appropriately. Makeup midterms will be given only under exceptional circumstances and you will need a note from a doctor or a dean.

Grading: The final course grade will be determined by:

Homework: 20%
Midterm exams each: 20%
Final exam: 40%.


Help: Besides my office hours, help is also available without appointment in the Mathematics Help Room (406 Mathematics) whenever it is open.The Help Room is staffed both by faculty and teaching assistants, who will be able to help you with questions related to this course.

Useful links for the schedule:

Master University Examination Schedule
University Academic Calendar


Homework:

The assignments for written homework will be posted after each class. Do not forget that you still have homework from WebAssign.

Date
Reading
Homework
  Jan. 22 & 24   5.1, 5.2, 5.3, 5.4, 5.5   Review of integration and the substitution rule  HW#1 due Jan. 29: 
 5.4:6, 12, 18, 34, 40
 5.5:14, 34, 40, 62, 68
  Jan. 29 & 31   7.1 & 7.2   Integration by parts and trigonometric integrals  HW#2 due Feb. 5: 
 7.1:12, 18, 28, 38
 7.2:13, 18, 26, 46
  Feb. 5 & 7   7.3 & 7.4   Trigonometric substitution, partial fractions I  HW#3 due Feb. 12: 
 7.3:14, 20, 24, 29
 7.4:12, 16, 20
  Feb. 12 & 14   7.4 partial fractions II   & First in class Mid-term on Thursday Feb. 14  HW#4 due Feb. 19: 
 7.4:32, 34, 38, 42
  Feb. 19 & 21   8.1 Arc length, 8.2 Surface of revolution   & 6.2, 6.3 Volumes  HW#5 due Feb. 26: 
 8.1:9, 19, 33
 8.2:7, 13
 6.2:7, 9
 6.3:7, 11
  Feb. 26 & 28   9.1, 9.3, 9.4 Differential equations, separable equations, and Models for population growth  HW#6 due Mar. 5: 
 9.1:3
 9.3:5, 15, 21, 29
 9.4:5,
  Mar. 5 & 7   9.5 linear equations & 10.1, 10.2 parametric curves  HW#7 due Mar. 12: 
 9.5:11, 13, 17, 25
 10.2:5, 17, 33, 43
  Mar. 12 & 14   10.3 & 10.4 polar curves, and their calculus  HW#8 due Mar. 26: 
 10.2:9, 29
 10.3:19, 23, 59, 63
 10.4:3, 37, 45
  Mar. 18 & 22   Spring Break, No Class  No Homework Due this week 
  Mar. 26 & 28   10.4 Polar curves continued & 11.1 sequences  HW#9 due Apr. 2: 
 10.4:19, 26, 39, 41
 11.1:11, 27, 33, 41, 50
  Apr. 2 & 4   Review section & Second Midterm  No Homework 
  Apr. 9 & 11   11.1 sequence, 11.2 series, & 11.3 integral test  HW#10 due Apr. 16: 
 11.1:43, 82
 11.2:15, 31, 43, 59
 11.3:7, 29
  Apr. 16 & 18   11.3 integral test continued, 11.4 comparison tests, & 11.5 alternating series  HW#11 due Apr. 23: 
 11.3:15, 23, 25, 38
 11.4:5, 7, 17
 11.5:13, 10, 24
  Apr. 23 & 25   11.6 ratio and root test, 11.8 power series, & 11.9 represent functions as power series.  HW#12 due Apr. 30: 
 11.6:5, 9, 25
 11.8:9, 17, 19, 21
 11.9:5, 11, 15
  Apr. 30 & May 2   11.10 Taylor and Maclaurin series  HW#13 due May 7: 
 11.10:7, 13, 15, 38, 49, 55
  May 14   Final Exam 9:00 am - 12:00 pm in Math 407  

The template of this Syllabus is copied from http://www.math.columbia.edu/department/syllabi/CalcIVsyllabus.html