120112 ESM2B - Linear Algebra, Fourier Probability

Course offering details

Instructors: Dr. Pavel Tumarkin

Type: Lecture

Org-unit:

Course Name Abbreviation: ESM2B

Hours per week: 3

Credits: 5.00

Min. | Max. participants: - | -

Partial Grades:
Final Grade

Official Course Description:
Second semester Engineering and Science Mathematics is offered in two parallel classes that cover a common set of core topics at approximately the same level of difficulty. However, style of exposition and selection of additional material will vary slightly to meet the needs of different groups of majors.
ESM 2B is recommended for students who do not intend to major in the Life Sciences or Chemistry. It covers the following topics: Linear Algebra (equations of lines and planes, matrix algebra, system of linear equations, matrix inverse, vector spaces, linear independence, basis, dimension, linear transformations, change of basis, eigenvalues and eigenvectors, diagonalization, inner products, orthonormalization). Fourier methods (expanding functions in terms of orthonormal function systems, Fourier series, Fourier transform, Dirac delta-function) Probability (basic notions of set theory, outcomes, events, sample space, probability, conditional probability, Bayes' rule, permutations and combinations, random variables, expected value, variance, binomial, Poisson, and normal distributions, central limit theorem).

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 Wed, 2. Feb. 2011 08:15 09:30 Lecture Hall Research III Dr. Pavel Tumarkin
2 Mon, 7. Feb. 2011 09:45 11:00 Lecture Hall Research III Dr. Pavel Tumarkin
3 Wed, 9. Feb. 2011 08:15 09:30 Lecture Hall Research III Dr. Pavel Tumarkin
4 Mon, 14. Feb. 2011 09:45 11:00 Lecture Hall Research III Dr. Pavel Tumarkin
5 Wed, 16. Feb. 2011 08:15 09:30 Lecture Hall Research III Dr. Pavel Tumarkin
6 Mon, 21. Feb. 2011 09:45 11:00 Lecture Hall Research III Dr. Pavel Tumarkin
7 Wed, 23. Feb. 2011 08:15 09:30 Lecture Hall Research III Dr. Pavel Tumarkin
8 Mon, 28. Feb. 2011 09:45 11:00 Lecture Hall Research III Dr. Pavel Tumarkin
9 Wed, 2. Mar. 2011 08:15 09:30 Lecture Hall Research III Dr. Pavel Tumarkin
10 Mon, 7. Mar. 2011 09:45 11:00 Lecture Hall Research III Dr. Pavel Tumarkin
11 Wed, 9. Mar. 2011 08:15 09:30 Lecture Hall Research III Dr. Pavel Tumarkin
12 Mon, 14. Mar. 2011 09:45 11:00 Lecture Hall Research III Dr. Pavel Tumarkin
13 Wed, 16. Mar. 2011 08:15 09:30 Lecture Hall Research III Dr. Pavel Tumarkin
14 Mon, 21. Mar. 2011 09:45 11:00 Lecture Hall Research III Dr. Pavel Tumarkin
15 Wed, 23. Mar. 2011 08:15 09:30 Conrad Naber Lecture Hall Dr. Pavel Tumarkin
16 Mon, 28. Mar. 2011 09:45 11:00 Lecture Hall Research III Dr. Pavel Tumarkin
17 Wed, 30. Mar. 2011 08:15 09:30 Lecture Hall Research III Dr. Pavel Tumarkin
18 Mon, 4. Apr. 2011 09:45 11:00 Lecture Hall Research III Dr. Pavel Tumarkin
19 Wed, 6. Apr. 2011 08:15 09:30 Lecture Hall Research III Dr. Pavel Tumarkin
20 Mon, 11. Apr. 2011 09:45 11:00 Lecture Hall Research III Dr. Pavel Tumarkin
21 Wed, 13. Apr. 2011 08:15 09:30 Lecture Hall Research III Dr. Pavel Tumarkin
22 Wed, 27. Apr. 2011 08:15 09:30 Lecture Hall Research III Dr. Pavel Tumarkin
23 Mon, 2. May 2011 09:45 11:00 Lecture Hall Research III Dr. Pavel Tumarkin
24 Wed, 4. May 2011 08:15 09:30 Lecture Hall Research III Dr. Pavel Tumarkin
25 Mon, 9. May 2011 09:45 11:00 Lecture Hall Research III Dr. Pavel Tumarkin
26 Wed, 11. May 2011 08:15 09:30 Lecture Hall Research III Dr. Pavel Tumarkin
27 Mon, 16. May 2011 09:45 11:00 Lecture Hall Research III Dr. Pavel Tumarkin
Course specific exams
Description Date Instructors Mandatory
1. Final Grade Wed, 25. May 2011 12:30-14:30 Dr. Pavel Tumarkin Yes
2. Final Grade No Date Yes
3. Final Grade No Date Yes
Contained in course catalogues
Course catalogue
Course Catalogue > School of Engineering and Science > Undergraduate Programs > Mathematics Service 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
Instructors
Dr. Pavel Tumarkin