Math 250 Vector Calculus
Fall 2019



This is the third semester calculus course at CSUN.  The general topic, vector calculus, is an essential part of the physical sciences and engineering, as well as mathematics. This course will extend the ideas and methods of first year calculus to functions of several variables. Topics include partial derivatives and their applications, multiple integrals, Green's theorem, the Divergence Theorem, and Stokes Theorem. 


Instructor David Klein
Santa Susana Hall,  Room 127  
Phone: (818) 677-7792
email: david.klein@csun.edu, web page: www.csun.edu/~vcmth00m

Class Meetings              Tuesdays and Thursdays, 12:30 to 1:45 p.m.
Chaparral Hall 5208

Office hours Tuesday 1:45 to 2:15, Thursday noon to 12:25, & by appointment

Prerequisite          
Math 150B

Grading There will be three midterm exams, and one final exam.  The final exam will be cumulative. Each midterm will be worth 100 points and the final exam will be worth 130 points. The dates of all tests will be announced in class.  Plus grades (+) and minus grades (–) will be assigned.  Class participation will resolve boderline cases.

Final Exam: Wednesday, Dec 12, 2019, 3:00 to 5:00 p.m.

In the event of an emergency closure of the campus, as deemed necessary by the Administration during finals week, the following options will be available to you:

(a) The semester grade will be calculated based upon scores earned prior to the final exam;

(b) The final exam will be offered on the originally scheduled date but at an offsite location prearranged by the Math Department Chair.

(c) The final exam will be rescheduled (under a title other than “Final Exam” such as “Alternative Exam” or “Follow-up Exam”) after the emergency closure but before grades are due.

Homework Practice problems will be assigned for each section. It is important to complete or at least attempt all problems before the next class meeting.  Tests will be based largely on the homework and can include exact homework problems. Students are encouraged to work together outside of class.  Students should purchase access to homework problems online from mymathlab.com, click here.
 
Textbook
Calculus, 3rd edition, by Briggs, Cochran, Gillett, Schulz (available online, see below).

Coverage:
Sections 13.5-13.6, 15.1-15.8, 16.1-16.5, 16.7 17.1-17.8

Note: a pdf version of the textbook comes with online access to the homework problems.
Calculators
Calculators are not permitted for any exam in this course.  Also not allowed are cell phones, electronic devices of any kind, or headware (except for religious purposes).



Assignments


Click here for review exercises on vector algebra from math 150b

Homework problems are available online through mymathlab.com with hints, an online version of the textbook, and other resources.  The course I.D. is klein93329. For instructions on how to access this Math 250 course from mymathlab, click here.

The final exam for this course will be based on the homework problems below.  Note: the online homework poblems include most, but not all, of the following:

13.5) Lines and Planes in Space. 1-10, 11-26, 27-30, 31-37, 43-58, 61-64, 65-68, 71-72, 73-76, 77-80.
13.6) Cylinders and Quadric Surfaces. 1-6, 7-12, 15-20, 21-28, 29-51, 54-58, 60.

15.1) Graphs and Level Curves. 25-33, 34, 35, 36-43, 74-77.
15.2) Limits and Continuity. 10-12, 13-27, 29-34, 35-50, 52-53, 62-67, 71.
15.3) Partial Derivatives. 1-9, 11-14, 15-30, 32-34, 38-46, 48-53, 54-59.
15.4) The Chain Rule. 9-18, 19-26, 27-28, 29-30, 35-40, 57-59, 65, 67-69, 72-73, 75.
15.5) Directional Derivatives and Gradient. 1-10, 11-12. 13-20, 21-30, 31-36, 43-44, 47-50, 59-64, 69-72, 74, 75-78, 81, 82, 85.
15.6) Tangent Planes. 3-4, 9, 11, 13-28, 29-32, 54-56.
15.7) Maximum/Minimum Problems. 9-12, 13-22, 23-37, 41-42, 43-46, 62-66, 71.
15.8) Lagrange Multipliers. 3-4, 5-6, 7-23, 26, 27-36.


16.1) Double Integrals, Rectangular Regions. 1-3, 5-6, 7-24, 25-35, 36-39, 40-45, 46-50, 53-54.
16.2) Double Integrals, General Regions. 5-8, 9-10, 11-27, 28-34, 35-42, 43-53, 57-62, 63-68, 69, 70, 71, 73-80, 85-90, 95-96, 99-102.
16.3) Double Integrals in Polar Coordinates. 7-10, 11-14, 15-18, 19-20, 21-30, 31-40, 42, 44-46,
47, 49-50, 53-54, 57-60, 65-68.
16.4) Triple Integrals. 4-6, 7-14, 15-29, 30-35, 36-37, 38-46, 47-50, 51-54, 57-58, 62-63, 67-70.
16.5) Cylindrical and Spherical Coordinates. 3-4, 9-10, 11-14, 15-22, 23-28, 29-34, 35-38, 41-47, 48-54, 58-61, 62-63, 64-65, 66-72, 77-79.
16.7) Change of Variables. 5-11, 13-16, 17-22, 23-26, 27-30, 31-36, 37-39, 41-44, 46-47, 48, 50-52, 53, 56.
17.1) Vector Fields. 2, 8-15, 18, 24, 25-30, 35-42, 43-45, 47-48, 49-52.
17.2) Line Integrals. 4-10, 12-16, 17-34, 35-36, 39-40, 41-46, 47-48, 49-56, 57-60, 62, 64-65, 68, 70-72, 73.

17.3) Conservative Vector Fields. 7, 9-16, 17-30, 31-34, 39-42, 44, 45-50, 51-52, 54-56, 59-62, 63-64.
17.4) Green’s Theorem. 9-14, 15-16, 17-20, 21-25, 27-30, 31-40, 41-45, 48, 53-54.
17.5) Divergence and Curl. 9-16, 17, 19, 21-22, 27-34, 41, 42, 44, 65, 67-69, 73.
17.6) Surface Integrals. 9-14, 15, 17-18, 19-24, 25-28, 29-34*, 35-38*, 43-48*, 52, 70-72, 74-75.
17.7) Stokes’ Theorem. 5-10, 11-16, 17-24, 30-33, 45.
17.8) Divergence Theorem. 9-12, 13-16, 17-24, 25-27, 30.

*For 17.6) 29-34, 35-38, 43-48, you should still parametrize the surface by r(u,v) and use the parametric form to do the integrals, rather than the ‘explicit’ form indicated here.


Student behavior, academic dishonesty, university policies

Please arrive on time and avoid leaving early.  No text messaging.  Cell phones should be turned off during class and all exams and quizzes.  Seats may be reassigned during exams, and you must leave your ID on top of the desk.  You will need to turn in an exam or quiz if you leave the room, so go to the bathroom beforehand.  Academic Dishonesty is covered in Appendix C of the CSUN catalog. Academic dishonesty will be reported to the Office of Student Affairs.  For information about CSUN's policy for academic dishonesty, see http://www.csun.edu/catalog/policies/academic-dishonesty/


Note also that according to CSUN policy, a grade that is sanctioned due to academic dishonesty cannot be replaced by subsequent course grades:
http://www.csun.edu/catalog/policies/repeating-courses-grade-forgiveness-undergraduate/



Note: This syllabus is subject to change during the semester.  Any changes will be posted here and announced in class.