120111 ESM1B - Multivariable Calculus, ODE

Course offering details

Instructors: Dr. Pavel Tumarkin

Type: Lecture

Org-unit:

Course Name Abbreviation: ESM1B

Hours per week: 3

Credits: 5.00

Min. | Max. participants: - | -

Partial Grades:
Final Grade

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.

Literature
Primary Text
  • Mathematical Methods for Physics and Engineering
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, 5. Sep. 2011 08:15 09:30 Lecture Hall Research III Dr. Pavel Tumarkin
2 Wed, 7. Sep. 2011 09:45 11:00 Lecture Hall Research III Dr. Pavel Tumarkin
3 Mon, 12. Sep. 2011 08:15 09:30 Lecture Hall Research III Dr. Pavel Tumarkin
4 Wed, 14. Sep. 2011 09:45 11:00 Lecture Hall Research III Dr. Pavel Tumarkin
5 Mon, 19. Sep. 2011 08:15 09:30 Lecture Hall Research III Dr. Pavel Tumarkin
6 Wed, 21. Sep. 2011 09:45 11:00 Lecture Hall Research III Dr. Pavel Tumarkin
7 Mon, 26. Sep. 2011 08:15 09:30 Lecture Hall Research III Dr. Pavel Tumarkin
8 Wed, 28. Sep. 2011 09:45 11:00 Lecture Hall Research III Dr. Pavel Tumarkin
9 Wed, 5. Oct. 2011 09:45 11:00 Lecture Hall Research III Dr. Pavel Tumarkin
10 Mon, 10. Oct. 2011 08:15 09:30 Lecture Hall Research III Dr. Pavel Tumarkin
11 Wed, 12. Oct. 2011 09:45 11:00 East Wing Dr. Pavel Tumarkin
12 Wed, 19. Oct. 2011 09:45 11:00 Lecture Hall Research III Dr. Pavel Tumarkin
13 Mon, 24. Oct. 2011 08:15 09:30 Lecture Hall Research III Dr. Pavel Tumarkin
14 Wed, 26. Oct. 2011 09:45 11:00 Lecture Hall Research III Dr. Pavel Tumarkin
15 Mon, 31. Oct. 2011 08:15 09:30 Lecture Hall Research III Dr. Pavel Tumarkin
16 Wed, 2. Nov. 2011 09:45 11:00 Lecture Hall Research III Dr. Pavel Tumarkin
17 Mon, 7. Nov. 2011 08:15 09:30 Lecture Hall Research III Dr. Pavel Tumarkin
18 Wed, 9. Nov. 2011 09:45 11:00 Lecture Hall Research III Dr. Pavel Tumarkin
19 Mon, 14. Nov. 2011 08:15 09:30 Lecture Hall Research III Dr. Pavel Tumarkin
20 Wed, 16. Nov. 2011 09:45 11:00 East Hall 2East Hall 3Lecture Hall Research III Dr. Pavel Tumarkin
21 Mon, 21. Nov. 2011 08:15 09:30 Lecture Hall Research III Dr. Pavel Tumarkin
22 Wed, 23. Nov. 2011 09:45 11:00 Lecture Hall Research III Dr. Pavel Tumarkin
23 Mon, 28. Nov. 2011 08:15 09:30 Lecture Hall Research III Dr. Pavel Tumarkin
24 Wed, 30. Nov. 2011 09:45 11:00 Lecture Hall Research III Dr. Pavel Tumarkin
25 Mon, 5. Dec. 2011 08:15 09:30 Lecture Hall Research III Dr. Pavel Tumarkin
26 Wed, 7. Dec. 2011 09:45 11:00 Lecture Hall Research III Dr. Pavel Tumarkin
Course specific exams
Description Date Instructors Mandatory
1. Final Grade Wed, 14. Dec. 2011 09:00-11:00 Dr. Pavel Tumarkin Yes
2. Final Grade 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. Pavel Tumarkin