Math 241 Sections 01** Spring 2012

Math 241 Sections 01** Spring 2012
Justin Wyss-Gallifent

Final Exam Locations

Rebecca Black	HJ Patterson 0226
Chen Dong	Lefrak 2205
Ariel Hafftka	Armory 0135
Christian Sykes	Frances Scott Key 0106

Resources

Office Hours: You are welcome to attend any TA's office hours.
- Justin (Prof): Go one page up and check the table.
- TAs:
  Rebecca: Wed 10:00-11:00 and Thu 3:30-4:30 in MTH 3301
  Ariel: Mon 8:00-9:00 and Fri 10:00-11:00 in MTH 4423
  Chen: Tue 3:30-4:30 and Thu 3:30-4:30 in MTH 4204
  Christian: Tuesday 1:00-2:00 and Thursday 11:00-12:00 in MTH 3303
Tutoring: There is official math department tutoring in MTH 0301 for MATH 241 during stated hours on the departmental tutoring schedule. This is walk-in tutoring, meaning you do not need to schedule anything you can simply go in and ask questions at your leisure. See here!

Basics

Meeting: Lecture meets MWF 9:00-9:50 in ARM 0135. Discussions meet TT for fifty minutes at either 8:00, 9:00, 10:00 or 11:00.
Email: Note that math=math.umd.edu
- Justin: jow@math
Description: Math 241 is the most advanced of the three basic calculus courses. We shall cover such topics as vectors, vector-valued functions, multiple integrals, line and surface integrals as well as the important fundamental calculus theorems.
Book: The book is Calculus, Ellis & Gulick, 6th Edition (ISBN 0-759-31379-2).
Quizzes: There will be a quiz at least once per week in discussion. At least one quiz question (and possibly all) will come directly and verbatim from the assigned homework listed below.
Homework: Homework is posted below. It is not collected. You should do it or else you won't learn anything.
Matlab: There will be four short Matlab projects which should be manageable even if you don't (yet) know MATLAB. The fourth Matlab project will be an in-discussion Matlab quiz.
Exams: There will be four exams plus a cumulative final exam. Your final counts as 200 points plus if half the final is greater than your lowest exam then half the final will also replace your lowest exam.
Pace: The class moves fairly quickly through chapters 11 and 12 because we need to make sure that we have enough time to do chapter 15 thoroughly with two days of review.

Point Total and Grading

Exams	4 × 100 pts
Quizzes	100 pts
Matlab	100 pts
Final Exam	200 pts

Total	800 pts

Generally 90%=A, etc. Unless a curve is warranted.

Grades are available online by the last four digits of your UID. These are updated only when the TAs save quizzes and exams:

Section 0111
Section 0112
Section 0121
Section 0122
Section 0131
Section 0132
Section 0141
Section 0142

Schedule and Suggested Homework

Date	Section	Suggested Homework

1/25	Review of Critical Calculus I and II	Handout (see below).
1/27	§11.1 Cartesian Coordinates in Space	1-23

1/30	§11.2 Vectors in Space	1-18,20,21,27,28
2/1	§11.3 The Dot Product §11.4 The Cross Product	1-19,23,32-34 1-10,13-15
2/3	§11.5 Lines in Space	1-23

2/6	§11.6 Planes in Space	1-13,23,26-30
2/8	§12.1 Vector-Valued Functions - Definitions and Examples	13-26,32,33
2/10	§12.2 VVFs - Limits and Continuity §12.3 Derivatives and Integrals of VVFs	1-4 1-32,35,39,40,47-49

2/13	§12.4 Space Curves and their Lengths	1-28
2/15	§12.5 Tangents and Normals to Curves	1-24
2/17	§12.6 Curvature	1-19,25,27,28

2/20	Review
2/22	Exam 1
2/24	§13.1 Functions of Several Variables §13.2 Limits and Continuity	13-39,41,46,47,57-70 None

2/27	§13.3 Partial Derivatives	1-23,29-35,37-44
2/29	§13.4 The Chain Rule	1-24,42-45
3/2	§13.5 Directional Derivatives	1-17

3/5	§13.6 The Gradient	1-51,62-64
3/7	§13.8 Extreme Values	1-16,19,20,25-28,39-42
3/9	§13.9 Lagrange Multipliers	1-3,7,11-14,17,18,22-25

3/12	Review
3/14	Exam 2
3/16	TBA	TBA

Spring Break

3/26	§14.1 Double Integrals	3-50
3/28	§14.2 Double Integrals in Polar Coordinates	1-3,5-13,18,22-29
3/30	§14.4 Triple Integrals	1-24,27-30

4/2	§14.5 Triple Integrals in Cylindrical Coordinates	1-29,32,33,37
4/4	§14.6 Triple Integrals in Spherical Coordinates	3-22
4/6	§14.8 Change of Variables in Multiple Integrals	1-12,18-21,23-25

4/9	§14.9 Parametrized Surfaces	5-10 plus handout
4/11	Review
4/13	Exam 3

4/16	§15.1 Vector Fields	1-12,17-25,27,28
4/18	§15.2 Line Integrals §15.3 The Fundamental Theorem of Line Integrals	1-30,32-35 1-10
4/20	§15.4 Green's Theorem	1-18

4/23	§15.5 Surface Integrals	1-14
4/25	§15.6 Integrals over Oriented Surfaces	5-15
4/27	§15.7 Stokes' Theorem	1-13

4/30	§15.8 The Divergence Theorem	9-23
5/2	Review
5/4	Exam 4

5/7	Review
5/9	Review
5/12 SAT	Final Exam 1:30-3:30 Rooms TBA

Class Material - Syllabus, Matlab, Miscellaneous

Abbreviated Syllabus from First Day
Review Handout from First Day
Vector Field Handout
Parametrization of Surfaces and Solutions
Chapter 15 Integral Guide

Class Material - Matlab

Matlab Guide Part 1
Project 1 First Matlab project
Matlab Guide Part 2
Project 2 Second Matlab project
Matlab Guide Part 3
Project 3 Third Matlab project
Matlab Quiz Sample 1
Matlab Quiz Sample 2

Class Material - Exams and Finals

exam1s1.pdf Exam 1 Sample 1
exam1s2.pdf Exam 1 Sample 2
exam1s3.pdf Exam 1 Sample 3    Solutions
exam1s4.pdf Exam 1 Sample 4    Solutions
exam1.pdf Exam 1    exam1soln.pdf Solutions

exam2s1.pdf Exam 2 Sample 1
exam2s2.pdf Exam 2 Sample 2    Solutions
Errata: Problem 1b should be 4x+y-y^2 and problem 4 the discriminant is evaluated incorrectly. D(5,0)=- so saddle, D(-3,0)=- so saddle and D(1,4)=32 and f_xx(1,4)=+ so relative minimum.
exam2s3.pdf Exam 2 Sample 3    Solutions
exam2s4.pdf Exam 2 Sample 4    Solutions
exam2.pdf Exam 2    exam2soln.pdf Solutions

exam3s1.pdf Exam 3 Sample 1
exam3s2.pdf Exam 3 Sample 2
exam3s3.pdf Exam 3 Sample 3    Solutions
exam3.pdf Exam 3    exam3soln.pdf Solutions

exam4s1.pdf Exam 4 Sample 1
exam4s2.pdf Exam 4 Sample 2    Solutions
exam4s3.pdf Exam 4 Sample 3    Solutions
exam4.pdf Exam 4    exam4soln.pdf Solutions

FinalFall2011.pdf Final Fall 2011
FinalSpring2011.pdf Final Spring 2011
FinalFall2010.pdf Final Fall 2010 and Adam Ross' Solutions
FinalSpring2010.pdf Final Spring 2010
FinalFall2009.pdf Final Fall 2009 - Ignore 1(a)
FinalSpring2009.pdf Final Spring 2009 - Ignore 2(b)
FinalFall2008.pdf Final Fall 2008
FinalSpring2008.pdf Final Spring 2008

Lecture Notes

Note: These are basic typed versions of what I might prepare for class. All they include are an extremely basic outline of what I want to cover, reminders on what not to forget and then examples only when I need to make sure they work out ahead of time.

ch11.pdf Chapter 11 Notes
ch12.pdf Chapter 12 Notes
ch13.pdf Chapter 13 Notes
ch14.pdf Chapter 14 Notes
ch15.pdf Chapter 15 Notes