Advanced Calculus
Math/MTHE 280, Fall 2016

Home   Schedule and Homework  

Schedule of Lectures: Fall 2016

Week

Date Topic Book Section Practice Exercises Homework and Tutorials

 

13.09 Introduction to the course New coordinates 1.1 - 1.6 1.3: 23,24,25,28  
1 15.09 Functions of several variables, graphs and level sets 2.1 1 - 35 problem set #1
  16.09 Vector valued functions 2.1 1-9, 10,12,13, 34-42 Tutorial #1
  20.09 Limits and continuity 2.2 7-23, 28-33, 38-45 solutions #1
2 22.09 Using epsilon-delta 2.2 34-44 problem set #2

 

23.09 Partial derivatives. 2.3 2.3: 1-25, 2.4:9-18, 21-22 Tutorial #2 Tutorial #2
  27.09 Differentiability I 2.3   solutions #2
3 29.09 Differentiability II 2.3 26-39, 51 problem set #3
  30.09 Properties of the derivative 2.4 1-8 Tutorial #3
  04.10 Tangent planes and the derivatve 2.3 29-34 solutions #3
4 06.10 The chain rule 2.5 9-22 problem set #4
  07.10 Chain rule 2.5 1-9, 16-27 Tutorial #4
  11.10 Chain Rule and gradient 2.5 2.6: 28-41, 3.1: 1-10, 25-30 solutions #4
5 13.10 Directional derivatives and gradients 2.6 28-41 problem set #5
  14.10 Gradients and geometric properties. Gradient fields, lines of steepest descent. 2.6 Tutorial #5
  18.10 Parametric curves, vector fields, flow lines 3.3 solutions #5
6 20.10 Gradient fields and Curl 3.4   problem set #6
  21.10 Divergence of vector fields 3.4 42-49 Tutorial #6
  25.10 Vector operators and identidies 3.4 1-18 solutions #6
26.10 Midterm Exam 7-8:30 TBA FAQ Solutions to midterm 2016
7 27.10 Multiple Integrals 5.4 1-25 problem set #7
  28.10 Change of variables 5.5 9-28 Tutorial #7
  29.10 Line Integrals I 6.1 1-5 solutions #7
8 31.10 Line integrals II 6.1 6-22 problem set #8
  01.11 Gradient fields 6.3 1-17 Tutorial #8

 

05.11 Path independence 6.3 18-25 solutions #8

9

07.11 Green's Theorem I 6.2 1-14 problem set #9

 

08.11 Green's theorem II 6.2 15-25 solutions of the midterm Tutorial #9

 

12.11 Parametrized surfaces 7.1 1-11, 14-17 solutions #9

10

14.11 Orientation. Flux 7.2   problem set #10

 

15.11 Surface integrals I 7.2 7.1: 19-29, 7.2: 1-24 Tutorial #10
  19.11 Surface integrals II 7.2   solutions #10

11

21.11 Divergence Theorem 7.3 6-9 problem set #11

 

22.11 Proof of the Divergence Theorem 7.3 14,16,18 Tutorial #11

 

26.11 Stoke's Theorem 7.3 1-5,10-13 solutions #11

12

28.11 Gradient and Curl test     problem set #12

 

29.11 Geometry of divergence and curl 7.3 19-28 solutions #12
  11.12 Review and office hours 1pm-3pm Jeffrey 408 December Exam FAQ
  04.12 Last years final to appear here for review December Exam 2011
  13.12 Final Exam 2-5 TBA  
  08.12 Final Exam 2-5 TBA  
  14.02 Continuous functions 4.4 18-25 Solutions #5