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