21-122 Integration, Differential Equations, and Approximation

Important: Do not make travel plans which require you to leave campus before 9 PM on Tuesday, May 11. Enrollment Services may schedule our Final Exam for as late as that evening. Hence you should make your travel plans under the assumption that you will have to be here, or wait until you know for sure. If your parents will be making reservations for you, please keep them informed so that they do not make conflicting plans for you. No one will be permitted to take the Final Exam early.

Schedule and Homework


Week #1: 
Jan 12 - 16
Homework 1 due 1-20 		Trigonometric Integrals (7.2) 
Trigonometric Substitution (7.3) 
Week #2: 
Jan 19 - 23
Homework 2 due 1-27 		Trigonometric Substitution (7.3) 
Integration of Rational Functions by Partial Fractions (7.4) 
Week #3: 
Jan 26 - 30
Homework 3 due 2-3 		Approximate Integration (7.7)
Improper Integrals (7.8)
Week #4: 
Feb 2 - 6
Homework 4 due 2-12 		Arc Length (8.1)
Exam #1 will be given during the lecture hour on Friday, February 6. Old Exam Problems
Week #5: 
Feb 9 - 13
Homework 5 due 2-19 		Separable Equations (9.3)  
Linear Equations (9.6) 
Week #6: 
Feb 18 - 20
Homework 6 due 2-26 		Linear Equations (9.6) 
Second-Order Linear Equations (17.1) 
Week #7: 
Feb 23 - 27 		Second-Order Linear Equations (17.1) 
Newton's Method (4.9) 
Sequences (11.1) 
Week #8: 
March 1 - 3
Homework 7 due 3-18 		Sequences (11.1) 
Series (11.2) 
Week #9: 
Mar 15 - 19
Homework 8 due 3-25 		Series (11.2)
The Integral Test and Estimates of Sums (11.3)
Exam #2 will be given during the lecture hour on Friday, March 19. Old Exam Problems
Week #10: 
Mar 22 - 26
Homework 9 due 4-1 		The Integral Test and Estimates of Sums (11.3)
The Comparison Tests (11.4)
Alternating Series (11.5)
Week #11: 
Mar 29 - Apr 2 		Alternating Series (11.5)
Absolute Convergence and the Ratio and Root Tests (11.6)  
Week #12: 
Apr 5 - 9
Homework 10 due 4-13 		Strategy for Testing Series (11.7)  
Power Series (11.8)  
Week #13: 
Apr 12 - 14
Homework 11 due 4-22 		Power Series (11.8)  
Representations of Functions as Power Series (11.9) 
Week #14: 
Apr 19 - 23
Homework 12 due 4-29
Representations of Functions as Power Series (11.9) 
Taylor and Maclaurin Series (11.10)
Exam #3 will be given during the regular lecture hour on Friday, April 23. No old exam problems; here's why
Week #15: 
Apr 26 - 30 		Taylor and Maclaurin Series (11.10)  
Applications of Taylor Polynomials (11.12) 
The Final Exam is Monday, May 10, 8:30 - 11:30 AM. Students in sections A,B,C,D should report to DH 2315, and students in sections E,F,G,H,I should report to DH 2210. Review Sheet