120111 ESM 1B - Multivariable Calculus, ODE

Course offering details

Instructors: Prof. Dr. Daniel Meyer

Type: Lecture

Org-unit:

Course Name Abbreviation: ESM 1B

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 Wed, 5. Sep. 2012 11:15 12:30 Lecture Hall Research II Prof. Dr. Daniel Meyer
2 Fri, 7. Sep. 2012 08:15 09:30 Lecture Hall Research II Prof. Dr. Daniel Meyer
3 Wed, 12. Sep. 2012 11:15 12:30 Lecture Hall Research II Prof. Dr. Daniel Meyer
4 Fri, 14. Sep. 2012 08:15 09:30 Lecture Hall Research II Prof. Dr. Daniel Meyer
5 Wed, 19. Sep. 2012 11:15 12:30 Lecture Hall Research II Prof. Dr. Daniel Meyer
6 Fri, 21. Sep. 2012 08:15 09:30 Lecture Hall Research II Prof. Dr. Daniel Meyer
7 Wed, 26. Sep. 2012 11:15 12:30 Lecture Hall Research II Prof. Dr. Daniel Meyer
8 Fri, 28. Sep. 2012 08:15 09:30 Lecture Hall Research II Prof. Dr. Daniel Meyer
9 Fri, 5. Oct. 2012 08:15 09:30 Lecture Hall Research II Prof. Dr. Daniel Meyer
10 Wed, 10. Oct. 2012 11:15 12:30 Lecture Hall Research II Prof. Dr. Daniel Meyer
11 Fri, 12. Oct. 2012 08:15 09:30 Lecture Hall Research II Prof. Dr. Daniel Meyer
12 Wed, 17. Oct. 2012 11:15 12:30 Lecture Hall Research II Prof. Dr. Daniel Meyer
13 Fri, 19. Oct. 2012 08:15 09:30 Lecture Hall Research II Prof. Dr. Daniel Meyer
14 Wed, 24. Oct. 2012 11:15 12:30 Lecture Hall Research II Prof. Dr. Daniel Meyer
15 Fri, 26. Oct. 2012 08:15 09:30 Lecture Hall Research II Prof. Dr. Daniel Meyer
16 Wed, 31. Oct. 2012 11:15 12:30 Lecture Hall Research II Prof. Dr. Daniel Meyer
17 Fri, 2. Nov. 2012 08:15 09:30 Lecture Hall Research II Prof. Dr. Daniel Meyer
18 Wed, 7. Nov. 2012 11:15 12:30 Lecture Hall Research II Prof. Dr. Daniel Meyer
19 Fri, 9. Nov. 2012 08:15 09:30 Lecture Hall Research II Prof. Dr. Daniel Meyer
20 Wed, 14. Nov. 2012 11:15 12:30 Lecture Hall Research II Prof. Dr. Daniel Meyer
21 Fri, 16. Nov. 2012 08:15 09:30 Lecture Hall Research II Prof. Dr. Daniel Meyer
22 Wed, 21. Nov. 2012 11:15 12:30 Lecture Hall Research II Prof. Dr. Daniel Meyer
23 Fri, 23. Nov. 2012 08:15 09:30 Lecture Hall Research II Prof. Dr. Daniel Meyer
24 Wed, 28. Nov. 2012 11:15 12:30 Lecture Hall Research II Prof. Dr. Daniel Meyer
25 Fri, 30. Nov. 2012 08:15 09:30 Lecture Hall Research II Prof. Dr. Daniel Meyer
26 Wed, 5. Dec. 2012 11:15 12:30 Lecture Hall Research II Prof. Dr. Daniel Meyer
27 Fri, 7. Dec. 2012 08:15 09:30 Lecture Hall Research II Prof. Dr. Daniel Meyer
28 Wed, 19. Dec. 2012 09:00 11:00 Lecture Hall Research III Prof. Dr. Daniel Meyer
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 > School of Engineering and Science > Mathematical Sciences > Undergraduate Level Courses
Class Session Overview
  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 7
  • 8
  • 9
  • 10
  • 11
  • 12
  • 13
  • 14
  • 15
  • 16
  • 17
  • 18
  • 19
  • 20
  • 21
  • 22
  • 23
  • 24
  • 25
  • 26
  • 27
  • 28
Instructors
Prof. Dr. Daniel Meyer