Math 241 Sections 03** Spring 2013

Math 241 Sections 03** Spring 2013
Justin Wyss-Gallifent

Resources

Office Hours: You are welcome to attend any TA's office hours.
- Justin (Prof): Go one page up and check the table.
- Sam Bloom (Sections 0331,0341): MF 1:00-2:00 in MTH3301
- Danul Gunatilleka (Sections 0312,0322): M 1:00-2:00 and W 10:00-11:00 in MTH3301
- Paul Koprowski (Sections 0311,0321): W 12:00-2:00 in MTH0210
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 2:00-2:50 in ARM 0135. Discussions meet TT for fifty minutes at either 8:00, 9:00, 1:00 or 2:00.
Email: Note that math=math.umd.edu
- Justin: jow@math
- TAs: May be found here
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

Grades will be 90%=A, etc. Upper 2% will get plus grades and lower 2% will get minus grades.

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

TBA

Schedule and Suggested Homework

Date	Section	Suggested Homework

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

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

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

2/11	§12.4 Space Curves and their Lengths	1-28
2/13	§12.5 Tangents and Normals to Curves	1-24
2/15	§12.6 Curvature	1-19,25,27,28

2/18	Review
2/20	Exam 1
2/22	§13.1 Functions of Several Variables	13-39,41,46,47,57-70

2/25	§13.2 Limits and Continuity §13.3 Partial Derivatives	None 1-23,29-35,37-44
2/27	§13.4 The Chain Rule	1-24,42-45
3/1	§13.5 Directional Derivatives	1-17

3/4	§13.6 The Gradient	1-51,62-64
3/6	§13.8 Extreme Values	1-16,19,20,25-28,39-42
3/8	§13.9 Lagrange Multipliers	1-3,7,11-14,17,18,22-25

3/11	Review
3/13	Exam 2
3/15	TBA	TBA

Spring Break

3/25	§14.1 Double Integrals	3-50,57-64
3/27	§14.2 Double Integrals in Polar Coordinates	1-3,5-13,18,22-29
3/29	§14.4 Triple Integrals	1-24,27-30

4/1	§14.5 Triple Integrals in Cylindrical Coordinates	1-29,32,33,37
4/3	§14.6 Triple Integrals in Spherical Coordinates	3-22
4/5	§14.8 Change of Variables in Multiple Integrals	1-12,18-21,23-25

4/8	§14.9 Parametrized Surfaces	5-10 plus handout
4/10	Review
4/12	Exam 3

4/15	§15.1 Vector Fields	1-12,17-25,27,28
4/17	§15.2 Line Integrals §15.3 The Fundamental Theorem of Line Integrals	1-30,32-35 1-10
4/19	§15.4 Green's Theorem	1-18

4/22	§15.5 Surface Integrals	1-14
4/24	§15.6 Integrals over Oriented Surfaces	5-15
4/26	§15.7 Stokes' Theorem	1-13

4/29	§15.8 The Divergence Theorem	9-23
5/1	Review
5/3	Exam 4

5/6	Review
5/8	Review
5/11 SAT	Final Exam 1:30-3:30 Rooms TBA

Class Material - Syllabus, Matlab, Miscellaneous

syllabus.pdf Syllabus from first day.
vf.pdf Vector Field Handout
surfaces.pdf Parametrization of Surfaces and
surfaces_soln.pdf Solutions
ch15guide.pdf Chapter 15 Integral Guide

Class Material - Matlab

matlab1.html Matlab Guide Part 1
Project 1 First Matlab project
matlab2.html Matlab Guide Part 2
Project 2 Second Matlab project
matlab3.html 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

exam2s1.pdf Exam 2 Sample 1    Solutions
exam2s2.pdf Exam 2 Sample 2
exam2s3.pdf Exam 2 Sample 3    Solutions
exam2s4.pdf Exam 2 Sample 4    Solutions

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

exam4s1.pdf Exam 4 Sample 1
exam4s2.pdf Exam 4 Sample 2
exam4s3.pdf Exam 4 Sample 3    Solutions
exam4s4.pdf Exam 4 Sample 3    Solutions

FinalFall2012.pdf Final Fall 2012
FinalSpring2012.pdf Final Spring 2012
FinalFall2011.pdf Final Fall 2011
FinalSpring2011.pdf Final Spring 2011
FinalFall2010.pdf Final Fall 2010
FinalSpring2010.pdf Final Spring 2010

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