Math 223 - Vector Calculus

 

Instructor: Javid Validashti



Contact Information
E-mail: jvalidas at math dot ku dot edu
Office: Snow Hall 615
Office Hours: MWF 9:00-9:30, 3:00-3:30 or by appointment.
Phone: (785) 864-4762
Website: http://www.math.ku.edu/~jvalidas

 


Course Information
Math 223: Multivariable Calculus, Multiple Integration, Vector Calculus.

Credit hours: 3

Prerequisite: MATH 122 or Math 142 or equivalent.
Text Book: Vector Calculus, Colley, Prentice Hall, 3rd ed.

Line # 30934, 08:00-08:50 MWF, 454 Snow.
Line # 36171, 02:00-02:50 MWF, 120 Snow.

 

Topics                            
Chapter 1, Review of vectors and Euclidean geometry.
Chapter 2, Partial derivatives, directional derivatives.
Chapter 3, Vector valued functions.
Chapter 4, Maxima and minima in several variables.
Chapter 5, Multiple integrations.
Chapter 6, Line integrals.
Chapter 7, Surface integrals and fundamental theorems of vector calculus (Green's Gauss' and Stokes' theorems).
               


Exam I

Wednesday, September 23rd, In Class.
Based on Sections 1.1 to 2.3.

Exam II
Wednesday, October 28th, In Class.
Based on Sections 2.3 to 4.3.

Final Exam

Line # 36171, Meeting 02:00-02:50 MWF, 120 Snow:
Final Exam is on Tuesday, Dec 15th, at 1:30 – 4:00 p.m. in class.

 

Line # 30934, Meeting 08:00-09:50 MWF, 454 Snow:
Final Exam is on Thursday, Dec 17th, at 7:30 – 10:00 a.m. in class. (You can also take it with the other class on Dec 15th, but let me know in advance)


Homework

Problems will be assigned every lecture and will be collected on Wednesdays.
No late homework will be accepted, but three missed assignments will be dropped automatically.

Staple your homework papers, otherwise they will not be graded.

Print your name, Date and section number clearly on top of the first page.

Every week, I will assign some extra credit problems.
You must show your work and express your methodology clearly for each problem.

I am more interested in your thinking, explanations, and the logical flow of your work, than your numerical correctness.

You are permitted, even encouraged, to work together on homework. When you do so, please acknowledge one another.

 

Each problem has 5 points:

 

– 1 point for stating the problem at the beginning.

– 2 points for correct reasoning leading to a correct solution.

– 2 points for clarity and neatness.

 

Assignments #1, due Wednesday, September 2nd:

Section 1.1, Page 07, Problems # 7, 9, 13, 21.

Section 1.2, Page 16, Problems # 3, 7, 10, 11, 13, 15, 17, 23, 25, 27, 29, 37, and Problem # 36 for Extra Credit 1.

Section 1.3, Page 24, Problems # 3, 5, 7, 9, 11, 13, 15, 17, 25, 28.

 

Assignments #2, due Wednesday, September 9th:

Section 1.4, Page 37, Problems # 6, 9, 12, 13, 16, 18, 23, 25.

Section 1.5, Page 46, Problems # 1, 3, 4, 6, 7, 8, 11, 13, 19, 21, 23, 27, 30(a), and Problem #29 for Extra Credit 2.

Section 1.6, Page 57, Problems # 6, 7, 9.

 

Assignments #3, due Wednesday, September 16th:

Section 1.7, Page 71, Problems # 1, 5, 7, 11, 15, 17, 23, 24, 27.

Section 2.1, Page 93, Problems # 3, 4, 5, 6, 8, 9, 13, 14, 15, 16, 30, 45, 47.

 

Assignments #4, due Wednesday, September 23rd:

Section 2.2, Page 107, Problems # 1, 5, 9, 10, 13, 17, 22, 29, 31, 36, 37, 38, 39, 41, 42, 43, 44, and Problem #48 for Extra Credit 3.

Section 2.3, Page 124, Problems # 3, 6, 9, 12, 27, 29, 30, 31, 32.

 

Monday, September 21st, Review Practice Exam I.

Wednesday, September 23rd, In-Class Exam I.

 

Assignments #5, due Wednesday, October 7th:

Section 2.3, Page 124, Problems # 16, 17, 19, 21, 23, 25, 28, 51 (do it for a 2 by 2 matrix).

Section 2.4, Page 137, Problems # 2, 3, 7, 8, 15, 17, 20, 21(c).

Section 2.5, Page 150, Problems # 1, 2, 4, 9, 10, 14, 15, 17, 19, 20, 21, 22, 27.

Extra Credit 4: Problem # 24(b) of Section 2.4

Extra Credit 5: Show that the function f(x)=x|x| is of class C^1 but not C^2.

 

Assignments #6, due Wednesday, October 14th:

Section 2.6, Page 167, Problems # 1, 3, 5, 7, 9, 11, 17, 19, 22, 23, 24, 25, 26.

Section 3.1, Page 188, Problems # 1, 5, 7, 9, 11, 15, 17, 19, 27, 30.

Section 3.2, Page 206, Problems # 1, 5, 7, 8, 11.

Extra Credit 6: Discussed in class.

 

Assignments #7, due Wednesday, October 21st:

Section 3.3, Page 213, Problems # 1, 3, 5, 7, 9, 11, 17, 19, 20, 21, 23, 25.

Section 3.4, Page 221, Problems # 1, 3, 7, 9, 13, 28, 29.

Extra Credit 7: Discussed in class.

 

Assignments #8, due Wednesday, October 28th:

Section 4.1, Page 244, Problems # 1, 3, 5, 7, 9, 11, 13, 15, 17, 21(a).

Section 4.2, Page 257, Problems # 3, 11, 15, 17, 22, 23, 29.

Section 4.3, Page 270, Problems # 1, 3, 5, 7, 27, 29.

 

Monday, October 26th, Review Practice Exam II.

Wednesday, October 28th, In-Class Exam II.

 

Assignments #9, due Wednesday, November 11th:

Section 4.4, Page 283, Problems # 1 (do it for the first 3 pairs of data, but show your work), 2, and Problem #4 for Extra Credit 8.

Section 5.1, Page 291, Problems # 1, 3, 5, 7, 9, 11, 15.

Section 5.2, Page 307, Problems # 1, 3, 5, 7, 9, 11, 13, 15, and Problem # 27 for Extra Credit 9.

 

Assignments #10, due Wednesday, November 18th:

Section 5.3, Page 311, Problems # 1, 3, 5, 7, 9, 13, 15, 17.

Section 5.4, Page 321, Problems # 1, 3, 5, 7, 11, 13, 15, 23.

Section 5.5, Page 341, Problems # 9, 11, 13, 15, 23, 24, 25, and Problem #27 for Extra Credit 10.

Section 5.6, Page 355, Problems # 3, 5.

 

Assignments #11, due Wednesday, December 1st (due to Thanksgiving break):

Section 6.1, Page 379, Problems # 1, 3, 5, 7, 9, 11, 14, 15, 21, 22.

Section 6.2, Page 388, Problems # 1, 5, 10, 13, 15, 19, 21.

Section 6.3, Page 399, Problems # 1, 3, 9, 15, 19, 21, 23, 25.

Also, if you have not done it yet, write me a “good’’ review here!

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Assignments #12, due Wednesday, December 9th:

Section 7.1, Page 417, Problems #

Section 7.2, Page 437, Problems #

Section 7.3, Page 453, Problems #

Extra Credit

 

Wednesday, December 9th, Review Practice Final Exam.

Final Exam (see the dates in above).

 


Grading
Midterm Exam I: 25 points
Midterm Exam II: 25 points

Final Exam: 25 points
Homework: 25 points
Total: 100 points

 

 

Take Your Professor to Lunch!

I strongly believe in making a personal connection with my students. I ask you to take the advantage of  ``Take your Professor to Lunch" program at KU, so that you may

talk to me about your progress in class and discuss your challenges with the material. I often find that when students come and talk to me, they become more motivated

and they make more effort in learning. Also, students who have educational relationships with faculty members outside the classroom are shown to be more successful

in their collegiate experiences. (See a related article appeared on LJWorld here)

 


Students with Disability

The KU Office of Disability Resources (DR) coordinates accommodations and services for all eligible students with disabilities. 

If you have a disability and wish to request accommodations and have not contacted DR, please do so as soon as possible. 

Their office is located in 22 Strong Hall; their phone number is 785-864-2620 (V/TTY).  Information about their services can be found at http://www.disability.ku.edu/. 

Please also contact me privately in regard to your needs in this course.

 


Policy on Religious Observances

Any student in this course who plans to observe a religious holiday which conflicts in any way with the course schedule or requirements should contact the instructor

as soon as possible to discuss alternative accommodations.

 

 

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