120112 ESM2B - Linear Algebra, Fourier Probability

Course offering details

Instructors: Ph.D. Sergiy Vasylkevych

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, 1. Feb. 2012 08:15 09:30 Lecture Hall Research III Ph.D. Sergiy Vasylkevych
2 Mon, 6. Feb. 2012 09:45 11:00 Lecture Hall Research III Ph.D. Sergiy Vasylkevych
3 Wed, 8. Feb. 2012 08:15 09:30 Lecture Hall Research III Ph.D. Sergiy Vasylkevych
4 Mon, 13. Feb. 2012 09:45 11:00 Lecture Hall Research III Ph.D. Sergiy Vasylkevych
5 Wed, 15. Feb. 2012 08:15 09:30 Lecture Hall Research III Ph.D. Sergiy Vasylkevych
6 Mon, 20. Feb. 2012 09:45 11:00 Lecture Hall Research III Ph.D. Sergiy Vasylkevych
7 Wed, 22. Feb. 2012 08:15 09:30 Lecture Hall Research III Ph.D. Sergiy Vasylkevych
8 Mon, 27. Feb. 2012 09:45 11:00 Lecture Hall Research III Ph.D. Sergiy Vasylkevych
9 Wed, 29. Feb. 2012 08:15 09:30 Lecture Hall Research III Ph.D. Sergiy Vasylkevych
10 Mon, 5. Mar. 2012 09:45 11:00 Lecture Hall Research III Ph.D. Sergiy Vasylkevych
11 Wed, 7. Mar. 2012 08:15 09:30 Lecture Hall Research III Ph.D. Sergiy Vasylkevych
12 Mon, 12. Mar. 2012 09:45 11:00 Lecture Hall Research III Ph.D. Sergiy Vasylkevych
13 Wed, 14. Mar. 2012 08:15 09:30 Lecture Hall Research III Ph.D. Sergiy Vasylkevych
14 Mon, 19. Mar. 2012 09:45 11:00 Lecture Hall Research III Ph.D. Sergiy Vasylkevych
15 Wed, 21. Mar. 2012 08:15 09:30 Lecture Hall Research III Ph.D. Sergiy Vasylkevych
16 Mon, 26. Mar. 2012 09:45 11:00 Lecture Hall Research III Ph.D. Sergiy Vasylkevych
17 Wed, 28. Mar. 2012 08:15 09:30 Lecture Hall Research IIIEast Wing Ph.D. Sergiy Vasylkevych
18 Wed, 11. Apr. 2012 08:15 09:30 Lecture Hall Research III Ph.D. Sergiy Vasylkevych
19 Mon, 16. Apr. 2012 09:45 11:00 Lecture Hall Research III Ph.D. Sergiy Vasylkevych
20 Wed, 18. Apr. 2012 08:15 09:30 Lecture Hall Research III Ph.D. Sergiy Vasylkevych
21 Mon, 23. Apr. 2012 09:45 11:00 Lecture Hall Research III Ph.D. Sergiy Vasylkevych
22 Wed, 25. Apr. 2012 08:15 09:30 Lecture Hall Research III Ph.D. Sergiy Vasylkevych
23 Mon, 30. Apr. 2012 09:45 11:00 Lecture Hall Research III Ph.D. Sergiy Vasylkevych
24 Wed, 2. May 2012 08:15 09:30 Lecture Hall Research III Ph.D. Sergiy Vasylkevych
25 Mon, 7. May 2012 09:45 11:00 Lecture Hall Research III Ph.D. Sergiy Vasylkevych
26 Wed, 9. May 2012 08:15 09:30 Lecture Hall Research III Ph.D. Sergiy Vasylkevych
27 Mon, 14. May 2012 09:45 11:00 Lecture Hall Research III Ph.D. Sergiy Vasylkevych
28 Sat, 19. May 2012 17:00 18:45 Lecture Hall Research II Ph.D. Sergiy Vasylkevych
29 Mon, 21. May 2012 16:00 18:00 IRC Conference HallEast Wing Ph.D. Sergiy Vasylkevych
Course specific exams
Description Date Instructors Mandatory
1. Final Grade No Date No
2. Final Grade No Date No
3. Final Grade No Date No
Contained in course catalogues
Course catalogue
Course Catalogue > School of Engineering and Science > Undergraduate Programs > Mathematics Service Courses
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Instructors
Ph.D. Sergiy Vasylkevych