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Syllabus

Calculus for Functions of Several Variables Fall 2016 MTH243

The following calendar gives a timetable for the course. Your class may be slightly behind or ahead at any given time. Below the calendar is a list of sections in the textbook "Calculus Multivariable 6th Ed", by William G. McCallum, Deborah Hughes-Hallett, Andrew M. Gleason, David O. Lomen, David Lovelock. Wiley, ISBN: 0470888679 / 9780470888674 Some of these may be done in class, others as homework. You should attempt them all. (Note: In the problem lists, a notation like 3-9 means that all the problems 3,4,5,6,7,8,9 are assigned.)


 Week  Events  Section Suggested Practice  Problems
Sep. 8 Functions of Two Variables: 12.1, 12.2 12.1
12.2
12.1:# 1--4,6,7,9, 10,11,13,18,20,21,24,28,35
12.2:# 2--5,7,8,9,11,12,13,15,16,17,23,24,26
Sep. 13 Contour Diagrams: 12.3
Linear Functions: 12.4
Functions of Three Variables
12.3
12.4
12.5
12.6
12.3:# 1,2,3-5,7,8,9,11,14,16,17,28
12.4:# 1--3,5,7-10,13,21,22,23
12.5:# 1--6,12,15
12.6: # 1 -- 20
  Exam 1, September 27   Chapter 12 review
Sep. 27 Chapter 13 13.1
13.2
13.3
13.1: # 1-3,5,6,7,9,11,15,17,21,25,27,28,30,31,32
13.2: # 6,7,9,10,11,13,15,17, 25
13.3: # 1,3,5,6,7,11,13,15,17,19,21,22,23,25,27,33,39,43,47
Sep 27 The cross product 13.4
The partial derivatives 14.1
Computing derivatives 14.2
13.4
14.1
14.2
13.4: # 1,3,5,7,14,19,21,23
14.1: # 1,3,7,8,15,21
14.2: # 1-10,19,25,29,35,36,39
Oct. 4 Exam 2 Oct 13
Chapter 14
14.3
14.4
14.3: # 2,3,5,11,13,17,21,22,25
14.4: # 1,5,7,9,15,19,23,25,27,33,36,37,51,66,74
Oct. 11 Gradients 14.5
Chain rule 14.6
14.5
14.6
14.5: # 3,5,17,18,19,21,25,28,30,33,57,58,61
14.6: # 3,7,11,16,19,21,25
  Exam 3 Nov 3 Chapter 14   Review to chapter 14
Oct. 18 Second order partial derivatives
Local extrema: 15.1
Lagrange multipliers: 15.3
14.7
15.1
15.3
14.7: # 1,3,23,27,41
15.1: # 1,3,4,5,9,12,15,17,21,25,32,33
15.3: # 1--9 odd, 28
  Review of Chapter 15   Last day to drop the course: Oct. 19
Oct. 25 Definite integral of a function
Iterated integrals: 16.2
16.1
16.2
16.1: # 1,3,5,7,9,11,17,19,21,25
16.2: # 1-21odd,27-33odd,34,39,40,45,46
  Exam 2, Oct 27    
Nov. 1 Chapter 16 16.3
16.4
16.5
16.3: # 1-4,5-13odd,15,19,21,23
16.4: # 1-5,7,11-20
16.5: # 2-5,14-18,22-24,28,29,30
Nov 8 Parametrized curves: 17.1
Motion, velocity, acceleration
17.1
17.2
17.1: # 1,2,3,4,5,6,7,9,11,19,21,23,25,27,33,35,39,40
17.2: # 1,3,5,7,9,11,13,14,26,28
Nov. 19 Vector fields 17.3 17.3: # 1,3,13,15,19,21,27,31,34,45,47,51,57
Nov 22 Test 4   Review (check your understanding for chapter 15)
Nov. 24 Thanksgiving Recess    
Nov 29 Line integrals: 18.1
Computing integrals: 18.2
18.1
18.2
18.1: # 1,2,3,4,5,7,8,9,11,27
18.2: # 1,2,3,4,5,7,8,12,14,16,22,33
Dec. 6 Gradient fields: 18.3
Path-dependent vector fields
18.3
18.4
18.3: # 1,3,13,14,17,19,24,31,32
18.4: # 1,2,3,5,6,11,12,13,14,15
Dec. 12 Classes end    
  Mathematica project due    
   FINAL EXAM   December 20, 8:00am
 
 
Prof. Vladimir Dobrushkin
Department of Mathematics