Calculus III

This course is an introduction to the calculus of functions of several variables. It begins with studying the basic objects of multidimensional geometry: vectors and vector operations, lines, planes, cylinders, quadric surfaces, and various coordinate systems. It continues with the elementary differential geometry of vector functions and space curves. By the end of the course, the student should be able to analyze curves and surfaces in three-space, differentiate and determine any extrema of functions of two or more variables, evaluate double and triple integrals in various coordinate systems.

Textbook

Calculus 8th edition by James Stewart

Syllabus

Download syllabus: .pdf

Homework

Written and web homework will be assigned every week. Students are expected to read the corresponding sections of the book and do the assigned homework in order to gain a better understanding of the course material. The written part of homework will be collected for grading. Random problems will be graded. Web homework score will also be used towards the final homework score. Please work on your homework before taking tests.

Engineering Outreach students should scan and send their homework assignments and Matlab project by email barannyk@uidaho.edu by the end of the due day. There is 5 business day grace period. Late homework after the grace period will not be accepted. There will be an option of submitting homework using DropBox to handle large files.

On campus students should submit their homework in class by the due date.

Here is the link to web homework:   WebAssign Class key for WebAssign homework: uidaho 1983 0154

Written part of homework:

Homework # 1: due January 22
    Section 12.1: # 5, 7, 8, 9, 11, 12(a,c,e), 13, 15, 17, 23, 31
    Section 12.2: # 3, 7, 13, 21, 22, 25, 26, 27, 33, 35, 38
    Section 12.3: # 5, 7, 11, 13, 19, 23, 25, 27, 29, 31, 35, 41, 49
    Section 12.4: # 1, 5, 9, 17, 19, 27, 31, 33, 35, 37, 41

Homework # 2: due February 12
    Section 12.5: # 4, 5, 9, 11, 13, 17, 19, 27, 31, 39, 45, 49, 51
    Section 12.6: # 5, 7, 11, 15, 19, 21, 23, 25, 29, 33, 35
    Section 13.1: # 4, 5, 9, 15, 17, 27, 29, 43
    Section 13.2: # 7, 13, 15, 16, 19, 21, 25, 27, 37, 41, 49
    Section 13.3: # 1, 3, 12, 13, 18, 19, 21, 25, 27, 31

Exam # 1 covers Sections 12.1-12.6, 13.1-13.3 - due by Friday, February 14 (for more information, see Exam section below)

Homework # 3: due March 4
    Section 13.4: # 5, 15, 19, 21, 22, 23, 37
    Section 14.1: # 15, 21, 25, 31, 33, 48
    Section 14.2: # 5, 7, 10, 14, 12, 18, 29, 31, 33

Homework # 4: due March 18
    Section 14.3: # 15, 18, 21, 22, 29, 32, 33, 47, 54, 55, 59, 64
    Section 14.4: # 2, 5, 13, 15, 19, 26, 30, 31
    Section 14.5: # 1, 5, 8, 9, 13, 21, 29, 34

Exam # 2 covers Sections 13.4, 14.1-14.5 - Friday, March 20 (for more information, see Exam section below)

Homework # 5: due April 1
    Section 14.6: # 5, 8, 9, 11, 13, 15, 19, 21, 27
    Section 14.7: # 5, 13, 31, 37, 42, 43, 49, 53
    Section 14.8: # 3, 7, 11, 21, 23, 31
    Section 15.1: # 11, 12, 13, 21, 31, 33, 35, 37, 39

Homework # 6: due April 15
    Section 15.2: # 3, 5, 7, 9, 15, 23, 25, 39, 45, 51, 53
    Section 15.3: # 5, 7, 9, 15, 19, 21, 25, 29, 31
    Section 15.4: # 1, 3, 7, 11, 16, 17, 23, 29
    Section 15.5: # 3, 4, 7, 9, 11

Exam # 3 covers Sections 14.6-14.8, 15.1-15.5 - Friday, April 17 (for more information, see Exam section below)

Homework # 7: due April 24
    Section 15.6: # 3, 7, 9, 13, 18, 21, 28, 33, 35, 39             suggested: # 5, 22, 28
    Section 15.7: # 4, 7, 8, 11, 17, 19, 21                                 suggested: # 23, 25, 29
    Section 15.8: # 3, 7, 8, 10, 11, 14, 23, 27, 35, 41               suggested: # 12, 24, 42
    Section 15.9: # 1, 3, 7, 11, 17, 19, 23, 25                           suggested: # 12, 18, 27

Homework # 8: due May 4
    Section 16.1: # 3, 5, 14, 15, 25, 29
    Section 16.2: # 1, 5, 7, 11, 19, 41                                    suggested: # 7, 8, 12, 21, 40
    Section 16.3: # 3, 7, 15, 19, 23                                       suggested: # 9, 17, 24
    Section 16.4: # 2, 4, 6, 9, 11, 17
    Section 16.5: # 3, 9, 11, 17, 21

Matlab Project

Matlab project: .pdf Due by March 18

Sample problems, programs .pdf, .m file

Matlab is installed in all Student Computing Labs on UI campus as well as through VLAB. Students are encouraged to contact IT help desk as soon as possible if assistance is needed to find where to store files and how to access Matlab. Some Matlab tutorials and solved sample problems are available on the course web site.

ITS HELP DESK
Phone: 208-885-4357 (HELP)
Email: helpdesk@uidaho.edu

Physical Address: Teaching Learning Center Room 128

IT help desk website: http://www.uidaho.edu/its/

Tutorial Introduction to plotting with Matlab
Notes in Matlab that includes commands about 3d plotting

Software

In this course, an introduction to Matlab will be made, a technical computing environment for numerical computation and visualization produced by The MathWorks, Inc. We will study basic commands, how to visualize functions and symbolic computation.

A Matlab manual is available here: .pdf

Also available is a MATLAB tutorial written by Peter Blossey and James A. Rossmanith
Tutorial Introduction to plotting with Matlab
Here is another link to Plotting with Matlab by Gerald Recktenwald, Portland State University

Another standard one is Kermit Sigmon's Matlab Primer: .html

Here are other Matlab resources available on the net:

Handouts:

        Notes in Matlab that includes commands about 3d plotting
        Symbolic operations using Matlab by W.R. Wilcox, Clarkson University


In addition, there are many textbooks about Matlab. One of them is

MATLAB guide
By: Desmond J. Higham & Nicholas J. Higham. QA297 .H5217 2000

Video lectures are available through Engineering Outreach at https://eo.uidaho.edu/portal

Lecture Notes

Lecture 1 01/11/2017            Lecture 11 02/06/2017                        Lecture 21 03/03/2017                       Lecture 31 04/03/2017                        Lecture 41 04/26/2017
Lecture 2 01/13/2017            Lecture 12 02/08/2017                        Lecture 22 03/06/2017                         Lecture 32 04/05/2017                        Lecture 42 04/28/2017
Lecture 3 01/20/2017            Lecture 13 02/09/2017 Review # 1     Lecture 23 03/08/2017                         Lecture 33 04/07/2017                        Lecture 43 05/01/2017
Lecture 4 01/23/2017            Lecture 14 02/13/2017                        Lecture 24 03/09/2017 Review # 2      Lecture 34 04/10/2017                        Lecture 44 05/03/2017
Lecture 5 01/25/2017            Lecture 15 02/15/2017                        Lecture 25 03/20/2017                         Lecture 35 04/12/2017                        Lecture 45 05/05/2017 (Lecture + Final Exam Review, more examples added)
Lecture 6 01/26/2017            Lecture 16 02/17/2017                        Lecture 26 03/22/2017                         Lecture 36 04/13/2017 Review # 3
Lecture 7 01/27/2017            Lecture 17 02/22/2017                        Lecture 27 03/24/2017                         Lecture 37 04/17/2017
Lecture 8 01/30/2017            Lecture 18 02/24/2017                        Lecture 28 03/27/2017                         Lecture 38 04/19/2017
Lecture 9 02/01/2017            Lecture 19 02/27/2017                        Lecture 29 03/29/2017                         Lecture 39 04/21/2017
Lecture 10 02/03/2017        Lecture 20 03/01/2017                        Lecture 30 03/31/2017                         Lecture 40 04/24/2017

Handouts

Example on proving the limit

Exams

There will be three in class midterm exams and a final. Before each exam, we will have a review session.

Exam 1: due by Friday, February 14. Exam 1 covers Sections 12.1-12.6, 13.1-13.3. Practice exam problems
       Review session: Review 1 notes

Exam 2: dues by Friday, March 20. Exam 2 covers Sections 13.4, 14.1-14.5. Practice exam problems
       Review session: Review 2 notes

Exam 3: due by Friday, April 17. Exam 3 covers Sections 14.6-14.8, 15.1-15.5. Practice exam problems
       Review session: Review 3 notes

Final Exam: The final exam is comprehensive and covers sections 12.1-12.6, 13.1-13.4, 14.1-14.8, 15.1-15.9, 16.1-16.5. Practice exam problems
        The final is due by Thursday, May 7

    Review session: Final review

Grading

Exam 1:                                    15%
Exam 2:                                    20%
Exam 3:                                    25%
Homework and Matlab Project: 10%
Final Exam:                              30%

Additional Help / Tutoring on University of Idaho campus:

Tutoring sessions in Commons

as well as in ThinkTank

Midsemester Questionnaire

WebAssign Manual

Exam Proctoring

Please visit the proctor/exam information page on the website. https://eo.uidaho.edu/proctor

Students living outside of the United States will be required to use approved testing centers as their proctors. A testing center is a university, business, or military department with the primary purpose of proctoring tests and exams under direct observation. Students are required to provide a name of a person who will be the primary contact at the testing center. EO reserves the right to require students to take exams at specific pre-approved testing centers in locations outside of the United States.

You can view our proctor approved map to see if there is an approved testing center at the location you will be this summer.https://eo.uidaho.edu/map-international-proctors

If you know of a University Testing Center in the area you will be visiting that is not on our map you can submit that proctor to our office and we can begin the approval process before the semester starts: https://eo.uidaho.edu/proctorform

If you have any further questions please contact theg office at eo-support@uidaho.edu.