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.

Assignments

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.

Exam 1 on Chapter 15 and 13.5 and 13.6, Thursday October 3

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.

Exam 2 on Chapter 16, Tuesday October 29

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.

Exam 3 on Chapter 17, Thursday December 5

Final Exam: Thursday, Dec 12, 2019, 3:00 to 5:00 p.m.
CR 5118 (Chaparral Hall 5118)

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: