120111 ESM 1B - Multivariable Calculus, ODE

Course offering details

Instructors: Ph.D. Russell Lodge

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:
Engineering and Science Mathematics 1B introduces multivariable calculus
and ordinary differential equations, topics of particular importance to the physical sciences.
Students of ACM, Physics, and Electrical Engineering are strongly encouraged to take this
course in their first semester. The curriculum is designed so that ESM 1A and ESM 1B 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
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, 1. Sep. 2014 11:15 12:30 West Hall 8 Ph.D. Russell Lodge
2 Wed, 3. Sep. 2014 14:15 15:30 West Hall 8 Ph.D. Russell Lodge
3 Mon, 8. Sep. 2014 11:15 12:30 West Hall 8 Ph.D. Russell Lodge
4 Wed, 10. Sep. 2014 14:15 15:30 West Hall 8 Ph.D. Russell Lodge
5 Mon, 15. Sep. 2014 11:15 12:30 West Hall 8 Ph.D. Russell Lodge
6 Wed, 17. Sep. 2014 14:15 15:30 West Hall 8 Ph.D. Russell Lodge
7 Mon, 22. Sep. 2014 11:15 12:30 West Hall 8 Ph.D. Russell Lodge
8 Wed, 24. Sep. 2014 14:15 15:30 West Hall 8 Ph.D. Russell Lodge
9 Mon, 29. Sep. 2014 11:15 12:30 West Hall 8 Ph.D. Russell Lodge
10 Wed, 1. Oct. 2014 14:15 15:30 West Hall 8 Ph.D. Russell Lodge
11 Mon, 6. Oct. 2014 11:15 12:30 West Hall 8 Ph.D. Russell Lodge
12 Wed, 8. Oct. 2014 14:15 15:30 West Hall 8 Ph.D. Russell Lodge
13 Mon, 13. Oct. 2014 11:15 12:30 West Hall 8 Ph.D. Russell Lodge
14 Wed, 15. Oct. 2014 14:15 15:30 West Hall 8 Ph.D. Russell Lodge
15 Wed, 22. Oct. 2014 14:15 15:30 West Hall 8 Ph.D. Russell Lodge
16 Mon, 27. Oct. 2014 11:15 12:30 West Hall 8 Ph.D. Russell Lodge
17 Wed, 29. Oct. 2014 14:15 15:30 West Hall 8 Ph.D. Russell Lodge
18 Mon, 3. Nov. 2014 11:15 12:30 West Hall 8 Ph.D. Russell Lodge
19 Wed, 5. Nov. 2014 14:15 15:30 West Hall 8 Ph.D. Russell Lodge
20 Mon, 10. Nov. 2014 11:15 12:30 West Hall 8 Ph.D. Russell Lodge
21 Wed, 12. Nov. 2014 14:15 15:30 West Hall 8 Ph.D. Russell Lodge
22 Mon, 17. Nov. 2014 11:15 12:30 West Hall 8 Ph.D. Russell Lodge
23 Wed, 19. Nov. 2014 14:15 15:30 West Hall 8 Ph.D. Russell Lodge
24 Mon, 24. Nov. 2014 11:15 12:30 West Hall 8 Ph.D. Russell Lodge
25 Wed, 26. Nov. 2014 14:15 15:30 West Hall 8 Ph.D. Russell Lodge
26 Mon, 1. Dec. 2014 11:15 12:30 West Hall 8 Ph.D. Russell Lodge
27 Wed, 3. Dec. 2014 14:15 15:30 West Hall 8 Ph.D. Russell Lodge
28 Sat, 13. Dec. 2014 10:00 12:00 Lecture Hall Research III Ph.D. Russell Lodge
Course specific exams
Description Date Instructors Mandatory
1. Final Grade No Date No
2. Final Grade No Date No
Contained in course catalogues
Course catalogue
Course Catalogue > Engineering and Science > Mathematical Sciences > Undergraduate Level Courses
Class Session Overview
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Instructors
Ph.D. Russell Lodge