120111 ESM1B - Multivariable Calculus, ODE

Course offering details

Instructors: Dr. Keivan Mallahi Karai

Type: Lecture

Org-unit:

Course Name Abbreviation: ESM1B

Hours per week: 3

Credits: 5.00

Min. | Max. participants: - | -

Partial Grades:
Final Exam (40%, Mandatory)
Home Work (30%, Mandatory)
Midterm Exam (30%, Mandatory)

Official Course Description:
ESc Mathematics I B introduces multivariable calculus and ordinary differential equations, topics of particular importance to the physical sciences. Students of Physics, Computational Science, Geo/Astro with intended specialization area Astrophyics, or EECS with intended specialization in Electrical Engineering are strongly encouraged to take this course in their first semester. The curriculum is designed so that ESM1A and ESM1B can be taken at the same time.

The course covers vector algebra (three-dimensional vectors, dot product, cross product), equations of lines, planes, and spheres, Euclidean distance, vector-valued functions, space curves, functions of several variables, partial derivatives, chain rule, gradient, directional derivative, extrema, Lagrange multipliers, double and triple integrals with applications, change of variables, vector fields, divergence, curl, cylindrical and spherical coordinates, line integrals, Green's theorem in the plane, surface and volume integrals, divergence theorem, Stokes' theorem, introduction to ordinary differential equations (direction field, the question of existence and uniqueness of solutions), separable and exact equations, integrating factors, and linear higher order ODEs with constant coefficients.

Additional Information:
All participants are strongly encouraged to fill in the teaching evaluation.

Literature
Primary Text
  • Calculus. Early Transcendentals
Required Reading (To view a list click a category.)
Recommended Reading (To view a list click a category.)
Appointments
Date From To Room Instructors
1 Mon, 6. Sep. 2010 08:15 09:30 Lecture Hall Research III Dr. Keivan Mallahi Karai
2 Wed, 8. Sep. 2010 09:45 11:00 Lecture Hall Research III Dr. Keivan Mallahi Karai
3 Mon, 13. Sep. 2010 08:15 09:30 Lecture Hall Research III Dr. Keivan Mallahi Karai
4 Wed, 15. Sep. 2010 09:45 11:00 Lecture Hall Research III Dr. Keivan Mallahi Karai
5 Mon, 20. Sep. 2010 08:15 09:30 Lecture Hall Research III Dr. Keivan Mallahi Karai
6 Tue, 21. Sep. 2010 19:00 20:15 Lecture Hall Research III Dr. Keivan Mallahi Karai
7 Wed, 22. Sep. 2010 09:45 11:00 Lecture Hall Research III Dr. Keivan Mallahi Karai
8 Mon, 27. Sep. 2010 08:15 09:30 Lecture Hall Research III Dr. Keivan Mallahi Karai
9 Tue, 28. Sep. 2010 19:00 20:15 Lecture Hall Research III Dr. Keivan Mallahi Karai
10 Wed, 29. Sep. 2010 09:45 11:00 Lecture Hall Research III Dr. Keivan Mallahi Karai
11 Mon, 4. Oct. 2010 08:15 09:30 Lecture Hall Research III Dr. Keivan Mallahi Karai
12 Tue, 5. Oct. 2010 19:00 20:15 Lecture Hall Research III Dr. Keivan Mallahi Karai
13 Wed, 6. Oct. 2010 09:45 11:00 Lecture Hall Research III Dr. Keivan Mallahi Karai
14 Mon, 11. Oct. 2010 08:15 09:30 Lecture Hall Research III Dr. Keivan Mallahi Karai
15 Tue, 12. Oct. 2010 19:00 20:15 Lecture Hall Research III Dr. Keivan Mallahi Karai
16 Wed, 13. Oct. 2010 09:45 11:00 Lecture Hall Research III Dr. Keivan Mallahi Karai
17 Wed, 20. Oct. 2010 09:45 11:00 Lecture Hall Research III Dr. Keivan Mallahi Karai
18 Mon, 25. Oct. 2010 08:15 09:30 Lecture Hall Research III Dr. Keivan Mallahi Karai
19 Tue, 26. Oct. 2010 19:00 20:15 Lecture Hall Research III Dr. Keivan Mallahi Karai
20 Wed, 27. Oct. 2010 09:45 11:00 Lecture Hall Research III Dr. Keivan Mallahi Karai
21 Mon, 1. Nov. 2010 08:15 09:30 Lecture Hall Research III Dr. Keivan Mallahi Karai
22 Tue, 2. Nov. 2010 19:00 20:15 Lecture Hall Research III Dr. Keivan Mallahi Karai
23 Wed, 3. Nov. 2010 09:45 11:00 Lecture Hall Research III Dr. Keivan Mallahi Karai
24 Mon, 8. Nov. 2010 08:15 09:30 Lecture Hall Research III Dr. Keivan Mallahi Karai
25 Tue, 9. Nov. 2010 19:00 20:15 Lecture Hall Research III Dr. Keivan Mallahi Karai
26 Wed, 10. Nov. 2010 09:45 11:00 Lecture Hall Research III Dr. Keivan Mallahi Karai
27 Mon, 15. Nov. 2010 08:15 09:30 Lecture Hall Research III Dr. Keivan Mallahi Karai
28 Tue, 16. Nov. 2010 19:00 20:15 Lecture Hall Research III Dr. Keivan Mallahi Karai
29 Wed, 17. Nov. 2010 09:45 11:00 Lecture Hall Research III Dr. Keivan Mallahi Karai
30 Mon, 22. Nov. 2010 08:15 09:30 Lecture Hall Research III Dr. Keivan Mallahi Karai
31 Tue, 23. Nov. 2010 19:00 20:15 Lecture Hall Research III Dr. Keivan Mallahi Karai
32 Wed, 24. Nov. 2010 09:45 11:00 Lecture Hall Research III Dr. Keivan Mallahi Karai
33 Mon, 29. Nov. 2010 08:15 09:30 Lecture Hall Research III Dr. Keivan Mallahi Karai
34 Tue, 30. Nov. 2010 19:00 20:15 Lecture Hall Research III Dr. Keivan Mallahi Karai
35 Wed, 1. Dec. 2010 09:45 11:00 Lecture Hall Research III Dr. Keivan Mallahi Karai
36 Mon, 6. Dec. 2010 08:15 09:30 Lecture Hall Research III Dr. Keivan Mallahi Karai
37 Tue, 7. Dec. 2010 19:00 20:15 Lecture Hall Research III Dr. Keivan Mallahi Karai
Course specific exams
Description Date Instructors Mandatory
1. Final Exam Tue, 14. Dec. 2010 09:00-11:00 Dr. Keivan Mallahi Karai Yes
2. Final Exam Time tbd Yes
1. Home Work No Date Yes
1. Midterm Exam Time tbd Yes
2. Midterm Exam Time tbd Yes
Contained in course catalogues
Course catalogue
Course Catalogue > School of Engineering and Science > Undergraduate Programs > Mathematics Service Courses
Class Session Overview
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Instructors
Dr. Keivan Mallahi Karai