This course is a continuation of the ideas in 21-115 Differential Calculus and 21-116 Integral Calculus.

In the first part of the course, we'll learn techniques to broaden the range of functions we are able to integrate. In the second part of the course, we'll discuss differential equations, which are very useful in mathematical modeling. The second part of the course is related to the first in that solving differential equations often boils down to a matter of integration.

Latest news

• 21-117 summer 2002 is over. Official grades will be posted together with those of 21-118 three weeks later. One gets seperate grades for 21-117 and 21-118. Anyone intereted in knowing 21-117 grade earlier can ask me in person. Good luck in 21-118 !
  
  
• HW3 is complete.
  
• Unlike the first 2 hw assignments, HW3 is due on Friday, July 19, 2002. So, start early!
  
• Final is coming up! It's in class on July 19(Fri), 2002. It covers Sec 9.2, 9.3, 9.4, 9.6, 17.1. The best way to prepare is to review hw assignments and your lecture notes.
  
• HW2 is complete. It's due on July 15(Mon), 2002.
  
• Midterm is coming up! It's in class on July 10(Weds), 2002. It covers Sec 7.2, 7.3, 7.4, 7.7, 7.8. The best way to prepare is to review hw assignments and your lecture notes.
  
• HW1 is complete. It's due on July 8(Mon), 2002.
  

Textbook

James Stewart, Calculus: Early Transcendentals, Fourth Edition

We'll mainly cover chapter 7,9. Part of chapter 8 may be reviewed. If time permits, we may add some of chapter 17.

Prerequisite knowledge

21-115 and 21-116 (or equivalents).

Hours

Lecture hours: (MTWRF) 10:30AM-11:50AM PH A20
Office hours: Mainly by appointment (pyu@andrew.cmu.edu) at WEH 6403

Grade

There will be weekly homework assignments, a midterm and a final. Each of the midterm and the final will be given in class for 1 hour and 20 minutes. For the overall score, HW takes 20%, midterm takes 40% and final takes 40%. The final is NOT comprehensive, focusing only on the material covered after midterm. (Notice the material is accumulative, so there's no way to avoid stuff done in the early stage of the course completely while testing the later stuff.) The final grade is determined according to the following scale:

• A: 90-100
  
• B: 80-89
  
• C: 70-79
  
• D: 60-69
  
• Fail: 0-59
  

Homework assignments

Homework is usually due on Mondays in class. Late HW will not be accepted!

• HW1 (due on July 8, 2002)

  sec 7.2: 3,14,28,34,65 sec 7.3: 8,13,23,35(You are required to use the hint for 35.) sec 7.4: 10, 20, 41, 49, 70 sec 7.7: 11(Use a calculator. Simpson's Rule is on page 518.)

• HW2 (due on July 15, 2002)

  sec 7.7: 22 sec 7.8: 5, 19, 24, 39, 51 sec 8.1: 11, 16 sec 9.1: 4 sec 9.2: 9, 23 sec 9.3: 7, 10, 26, 33

• HW3 (due on July 19(Fri), 2002)

  sec 9.4: 2, 8, 16(a), 18 (For 16(a), you can just set up the expressions without computing their values.) sec 9.6: 2, 4, 12, 18, 29 sec 17.1: 17, 22, 27, 32

This page

http://www.math.cmu.edu/~pyu/21-117

The material on this page is subject to change during the semester. I'll inform you in class in case a significant change is made.