###
Teaching Assistants (TAs)/Section Leaders & Sections:

(All sections are held on Tuesdays and Thursdays.)

Raymond Schram (rschram1@math):
* Secs. 0311
(10am, MTH0402) & 0321 (11am, MTH1308)*

Yousheng Shi (yshi1235@math):
* Secs. 0312 (10am,
MTH0409) & 0322 (11am, MTH0303)
*

Amit Nag (nag.amitis@gmail.com):
* Sec. 0331
(12noon, PHY0405) & 0341 (1pm, MTHB0423)
*

Jesse Milzman (jmilzman@math):
* Sec. 0332
(12noon, JMP2202) & 0342 (1pm, MTHB0425)
*

*For more information on TAs see
below.*

*Secs. 0311 (10am, MTH0402) & 0321 (11am, MTH1308)*

*Secs. 0312 (10am, MTH0409) & 0322 (11am, MTH0303)*

*Sec. 0331 (12noon, PHY0405) & 0341 (1pm, MTHB0423)*

*Sec. 0332 (12noon, JMP2202) & 0342 (1pm, MTHB0425)*

*For more information on TAs see below.*

## The discussion sections will start regularly on Tuesday, August 29

### FINAL EXAM: Wedneday, Dec. 13, 1:30pm-3:30pm. Room TBA for each section.

### Textbook for main lectures:

*Calculus*; authors: R. Ellis & D. Gulick; 6th Edition, Thomson Publishing, 2003.

## Short Syllabus and Detailed Course Policies (PDF)

## For detailed syllabus see the Mathematics Department webpage

## Teaching Assistant (TA) Information

### RECOMMENDED HOMEWORK ASSIGNMENTS:

**Homework Assignment #1**, Fri Sept. 1:

**Sec. 11.1**:

*Probs. 4, 7, 9, 10, 14, 21*

**Sec. 11.2**:

*Probs. 4, 9, 10, 13, 16, 19, 23, 27*

**Sec. 11.3**:

*Probs. 2, 5, 7, 10, 11, 15, 19, 28, 33*

**Sec. 11.4**:

*Probs. 2, 5, 10, 11, 13*

**Sec. 11.5**:

*Probs. 2, 5, 8, 9, 12, 13, 18*

**Homework Assignment #2,**Fri Sept. 8:

**Sec. 11.6**:

*Probs. 1, 5, 6, 7, 8, 9, 13, 17, 21, 27, 31*

**Sec. 12.1**:

*Probs. 15, 21, 23, 32*

**Sec. 12.2**:

*Probs. 4, 6, 9*

**Homework Assignment #3,**Fri Sept. 15:

**Sec. 12.3**:

*Probs. 1, 5, 17, 19, 23, 31, 33, 39*

**Sec. 12.4**:

*Probs. 7, 11, 14, 21, 25, 28, 31*

**Sec. 12.5**:

*Probs. 2, 5, 9, 11, 14, 19, 22, 30*

**Homework Assignment #4,**Fri Sept. 22:

**Sec. 12.6**:

*Probs. 2, 5, 9, 11, 18, 21, 27*

**Sec. 13.1**:

*Probs. 4, 9, 15, 17, 19, 27, 31, 37, 43, 45, 55, 61, 68*

**Homework Assignment #5,**Fri Sept. 29:

**Sec. 13.2**:

*Probs. 11, 13, 14, 16, 29*

**Sec. 13.3**:

*Probs. 4, 5, 7, 11, 19, 23, 29, 33, 34, 45, 53*

**Sec. 13.4**:

*Probs. 1, 7, 11, 15, 23, 25, 35*

**Sec. 13.5**:

*Probs. 1, 3, 7, 9, 13, 16*

**Homework Assignment #6,**Fri Oct. 6:

**Sec. 13.6**:

*Probs. 1, 5, 7, 11, 15, 21, 24, 39*

**Sec. 13.7**:

*Probs. 1, 4, 9, 11, 13, 21, 24*

**Sec. 13.8**:

*Probs. 1, 3, 7, 12, 17, 29, 40*

**Homework Assignment #7,**Fri Oct. 13:

**Sec. 13.9**:

*Probs. 1, 5, 7, 9, 11, 13, 15, 24, 28*

**Homework Assignment #8,**Fri Oct. 20:

**Sec. 14.1**:

*Probs. 5, 7, 9, 15, 21, 23, 24, 30, 34, 37, 39, 47, 54, 58, 62*

**Sec. 14.2**:

*Probs. 3, 4, 9, 12, 15, 25*

**Sec. 14.3**:

*Probs. 1, 3, 7, 10*

**Homework Assignment #9,**Fri Oct. 27:

**Sec. 14.4**:

*Probs. 1, 5, 11, 15, 23, 29*

**Sec. 14.5**:

*Probs. 5, 7, 9, 15, 16, 19, 23, 29, 33*

**Sec. 14.6**:

*Probs. 1, 2, 5, 9, 11, 16, 19, 25*

**Homework Assignment #10,**Fri Nov. 3:

**Sec. 14.8**:

*Probs. 17, 19, 21, 26*

**Sec. 14.9**:

*Probs. 1, 3, 5, 9, 13, 21, 23*

**Recomm. Homework Assignments from Chapter 15:**

**Sec. 15.1**:

*Probs. 3,7,15,17,19,24,25,27.*

**Sec. 15.2**:

*Probs. 1,3,8,9,11,19,25.*

**Sec. 15.3**:

*Probs. 1,3,5,7,8.*

**Sec. 15.4**:

*Probs. 4,7,9,13,16,20.*

**Sec. 15.5**:

*Probs. 2,3,5,7,12,14.*

**Sec. 15.6**:

*Probs. 5,7,10,12,13,15*

**Sec. 15.7**:

*Probs. 5,7,9,11,15,19.*

**Sec. 15.8**:

*Probs. 11,13,15,17,19,21,23.*

### EXAMS:

Solutions to Exam 1, September 25

Solutions to Exam 2, October 23

Solutions to Exam 3, November 15

Solutions to Exam 4, December 8

### LECTURES:

**Lecture 1,**Mon. Aug. 28:

**Sec. 11.1**from text: Cartesian coordinate system.

**Sec. 11.2**: Definition of vector.**Lecture 2,**Wed. Aug. 30:

**Sec. 11.3**: Dot product.**Lecture 3,**Fri. Sept. 1:

**Sec. 11.4**: Cross product of vectors

**Sec. 11.5**: Lines in space: Description**Lecture 4,**Wed. Sept. 6:

**Sec. 11.5 (continued)**: Lines in space: Distance of point from line; examples.

**Sec. 11.6**: Planes in space.**Lecture 5,**Fri. Sept. 8:

*Review Problems on Chap. 11.*

**Lecture 6,**Mon. Sept. 11:

**Sec. 12.1**: Vector-valued functions: Definitions and examples.

**Sec. 12.2**: Limits and continuity.**Lecture 7,**Wed. Sept. 13:

**Sec. 12.2**: Limits and continuity (cont.).

**Sec. 12.3**: Derivatives and integrals.**Lecture 8,**Fri. Sept. 15:

**Sec. 12.4**: Curves in space and their lengths.**Lecture 9,**Mon. Sept. 18:

**Sec. 12.5**: Tangents and normals.**Lecture 10,**Wed. Sept. 20:

**Sec. 12.6**: Curvature: An introduction (NOT IN EXAMS).*Review problems on Chap. 12.*

**Lecture 11,**Fri. Sept. 22:

**Sec. 13.1**: Functions of several variables: An introduction.

**Sec. 13.2**: Limits and continuity.**IN-CLASS EXAM 1**

**Lecture 12,**Wed. Sept. 27:

**Sec. 13.3**: Partial derivatives.**Lecture 13,**Fri. Sept. 29:

**Sec. 13.4**: Chain Rule**Lecture 14,**Mon. Oct. 2:

**Sec. 13.5**: Directional Derivative.

**Sec. 13.6**: Gradient.**Lecture 15,**Wed. Oct. 4:

**Sec. 13.7**: Tangent plane approximation**Lecture 16,**Fri. Oct. 6:

**Sec. 13.8**: Extreme values.**Lecture 17,**Mon. Oct. 9:

**Sec. 13.8:**Extreme values: More problems**Lecture 18,**Wed. Oct. 11:

**Sec. 13.9:**Lagrange multipliers: Basic theory and examples**Lecture 19,**Fri. Oct. 13:

**Sec. 13.9 (cont.):**Lagrange multipliers: problems**Lecture 20,**Mon. Oct. 16:

*Review problems on Chap. 13.*

**Lecture 21,**Wed. Oct. 18:

**Sec. 14.1:**Double integrals: an introduction**Lecture 22,**Fri. Oct. 20:

**Sec. 14.1:**Double integrals (cont.)**IN-CLASS EXAM 2**

**Lecture 23,**Wed. Oct. 25:

**Sec. 14.2:**Polar coordinates

**Sec. 14.3:**Surface area

**Lecture 24,**Fri. Oct. 27:**Sec. 14.4:**Triple integrals: Introduction and examples

**Lecture 25,**Mon. Oct. 30:**Sec. 14.5:**Cylindrical coordinates

**Lecture 26,**Wed. Nov. 1:**Sec. 14.6:**Spherical coordinates**Sec. 14.7:**Moments and centers of gravity: an introduction (NOT IN EXAMS)

**Lecture 27,**Fri. Nov. 3:**Sec. 14.8:**Change of variables

**Lecture 28,**Mon. Nov. 6:**Sec. 14.8:**Change of variables: More examples**Sec. 14.9:**Parametrized Surfaces: Introduction

**Lecture 29,**Wed. Nov. 8:

**Sec. 14.9:**Parametrized Surfaces: Surface Area & Examples

**Review of Chap. 14**

**Lecture 30,**Fri. Nov. 10:**Sec. 15.1:**Vector Fields

**Lecture 31,**Mon. Nov. 13:**Sec. 15.2:**Line Integrals I

*Wed. Nov. 15:*

**IN-CLASS EXAM 3**

**Lecture 32,**Fri. Nov. 17:**Sec. 15.2:**Line Integrals II

**Lecture 33,**Mon. Nov. 20:**Sec. 15.3:**Fundamental Theorem of Line Integrals**Sec. 15.4:**Green's Theorem

**Lecture 34,**Mon. Nov. 27:**Sec. 15.4:**Green's Theorem (cont.)**Sec. 15.5:**Surface Integrals

**Lecture 35,**Wed. Nov. 29:**Sec. 15.6:**Oriented Surfaces

**Lecture 36,**Fri. Dec. 1:**Sec. 15.6:**Oriented Surfaces: Examples

**Lecture 37,**Mon. Dec. 4:**Sec. 15.7:**Stokes's Theorem

**Lecture 38,**Wed. Dec. 6:**Sec. 15.8:**Gauss's (Divergence) Theorem.**Review of Chap. 15.***Fri. Dec. 8:*

**IN-CLASS EXAM 4**

COURSE REVIEW

**Lecture 39,**Mon. Dec. 11:COURSE REVIEW

*Wed. Dec. 13:*

**FINAL EXAM**

### ANNOUNCEMENTS:

*(Posted Mon. Aug. 28)*

**Quizzes**in all sections will be given on the following dates:*Thu. 09/07, Thu. 09/14, Tue. 10/03, Tue. 10/17, Thu. 11/02, Thu. 11/09, Tue. 11/28, Tue. 12/05.**(Posted Tuesday Sept. 5) Here's the*

**Math Tutoring Schedule**for this semester (Fall 2017)*For students who have the*

You may use it, but check that assigned homeworks are the same as in 6th (current) edition.

**5th Ed.**of the*Calculus*text:You may use it, but check that assigned homeworks are the same as in 6th (current) edition.

### MATLAB: AN INTRODUCTION:

Here's a short introduction to MATLAB that can be downloaded in PDF format (from Prof. P. Wolfe).MATLAB is accessible from many computers on campus. For information on software, tutoring and locations see the Math. Dept. resources page here.

In particular, check

**Tutoring Resources**and

**Computer Resources**.

Go here to download the entire set of m-files into the directory that you use as your home directory

for your MATLAB projects.

### REGULAR COMMON FINAL EXAM ROOM ASSIGNMENT: Wednesday, Dec. 13, 1:30-3:30pm:

Regular Final Exam locations:TA: Raymond Schram .................

**SKN 0200**

TA: Yousheng Shi ......................

**ARM 0135**

TA: Amit Nag...........................

**ANS 0408**

TA: Jesse Milzman....................

**TWS 1310**

SKN: Skinner Building (044)

ARM: Armory Building

ANS: Animal Sciences/Agricultural Engineering Building (142)

TWS: Tawes Hall (141)

CAMPUS MAP

### ALTERNATE FINAL EXAM FOR MATH241 STUDENTS WHO **ALSO** TAKE MATH246, 246H:

*Date & Time:*

**TBA by email to qualified students***Place:*

**TBA by email to qualified students**