Math 250

Calculus III, Vector Calculus

  Fall 2017



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 vector algebra, 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              Mondays & Wednesdays, 11 a.m. to 12:15, Chaparral Hall 5123

Office hours Monday 12:15 to 1:15, Thursday 10 a.m. to 10:50, & by appointment

Prerequisite          
Math 150B

Grading There will be two midterm exams, one final exam, and several 20 minute quizzes.  The final exam will be cumulative. Each midterm will be worth 100 points, each quiz will be worth 30 points, and the final exam will be worth 125 points. The dates of all tests and quizzes will be announced in class.  Plus grades (+) and minus grades (–) will be assigned.  Class participation will resolve boderline cases.

Final Exam: Wednesday, December 13, 2017, 3:00 to 5:00 p.m., LO 1117

Homework Practice problems will usually be assigned for each section. It is important to complete or at least attempt all problems before the next class meeting.  Tests and especially quizzes will be based largely on the homework. Students are encouraged to work together outside of class.
 
Textbook
Calculus, 2nd edition, by Briggs, Cochran, Gillett.

Coverage:
Sections 13.1-13.8, 14.1-14.5, 14.7, 15.1-15.8

Calculators
Calculators are not permitted for any quiz or exam in this course.  Also not allowed are cell phones, electronic devices, or headware (except for religious purposes).



Assignments


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


13.1) Planes and Surfaces. 2-6, 11-16, 17-20, 21-24, 25-28, 31-34, 35-38, 39-42, 47-70, 72, 73- 74, 80-86
13.2) Graphs and Level Curves. 21-27, 29, 30-36, 38
13.3) Limits and Continuity. 11-18, 19-23, 27-32, 33-40
13.4) Partial Derivatives. 7-10, 11-24, 29-38, 39-44, 45-53
13.5) Chain Rule. 7-16, 17-18, 19-26, 31-36, 42-46, 48, 49-51, 57, 61, 64
13.6) Directional Derivatives. 9-16, 17-25, 27-32, 39-40, 43-46, 47-50, 55-61, 65-68, 71-74
13.7) Tangent Planes. 9-16, 17-22, 25-29, 31-34, 35-38, 39-40, 50-52, 55
13.8) Optimization. 9-18, 19-33, 35-38, 43-46, 64-65, 67

Quiz 1 on Chapter 13 based on homework, Wednesday, Sept 28

14.1) Rectangular Regions. 1-3, 5-16, 17-23, 26-31, 32-34, 41-42, 43-46, 47-50
14.2) Double Integrals. 3-6, 7-8, 9-16, 17-26, 27-29, 31-32, 33-38, 39-46, 47-52, 53-56, 57-62, 63-68, 69-74, 75-80
14.3) Polar Coordinates. 7-10, 11-14, 15-18, 19-22, 23-28, 29-32, 45, 48, 50-57, 63-66

Test 1 through Section 14.3, Wednesday, Oct. 18

14.4) Triple Integrals. 7-14, 15-23, 25-34, 35-38, 39-40, 42, 43-44, 57-58
14.5) Cylindrical/Spherical Coordinates. 3-4, 9-10, 11-14, 15-18, 19-22, 29-34, 35-38, 39-45, 46- 52, 64-68
14.7) Change of Variables. 17-22, 23-26, 27-30, 31-36, 48-49, 51-52, 53-54, 56

Quiz 2 on homework from Sections 14.4, 14.5, and one exact problem from Exam 1, Wednesday, Nov. 1

15.1) Vector Fields. 6-14, 16, 17-18, 25-28, 29-36
15.2) Line Integrals. 11-14, 15-20, 25-30, 31-32, 33-38, 39-42, 43-46, 52, 54-55, 56-57
15.3) Conservative Vector Fields. 7, 9-14, 15-26, 27-32, 33-38

Quiz 3 based on homework from Sections 15.1, 15.2, 15.3, Monday, Nov. 20
 
15.4) Green’s Theorem. 3-4, 11-16, 18-21, 23-28, 29-34, 35-38, 42-43, 44-45
15.5) Divergence and Curl. 7-8, 9-16, 21-22, 23-26, 27-34, 41, 65, 67-68
15.6) Surface Integrals. 11-16, 17-20, 21-26, 27-30, 31-32, 34, 35-38, 43-48
15.7) Stokes’ Theorem. 4, 5-10, 11-16, 17-20, 26-29, 37, 41, 46, 47
15.8) Divergence Theorem. 7-8, 9-10, 13-16, 17-24, 25-27, 53

Test 2 Sections 14.4 through 15.8, Monday, Dec. 4

Final Exam: Wednesday, December 13, 2017, 3:00 to 5:00 p.m., Live Oak (LO) 1117

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.