MET CS 250 APPLIED MATHEMATICS FOR TELECOMMUNICATIONS
(Formerly MET TC 250)

Course Overview
The goal of this course is to provide the mathematical background for understanding telecommunication systems. A broad range of fundamental topics is covered, more specifically basic functions (trigonometric function, complex variable functions, exponential and logarithms), basic calculus (derivatives, integrals), and elementary probability (random events, probability, random variables, variance and standard deviation, probability density and cumulative distribution, special distribution functions).

Prerequisites
MET MA 118, MA 123 or equivalent, that cover trigonometry and introductory calculus. These prerequisites may also be part of the student's secondary school education.

Learning Objectives


Methods of Instruction
The course will be primarily lecture-based, with extensive lecture notes made available by the instructor on the course web site. Questions are encouraged. Attendance will be taken during each class meeting.

  • Lectures that are typically used for presenting new material; a variety of teaching approaches are used in the lectures, including traditional problem solving on the blackboard, PowerPoint slide presentations, video, interactive learning with Personal Response Systems;
  • Discussions of exercises, homework and reviews for exam and projects; The web-based component is managed through a course companion web site in CourseInfo that includes
  • lecture notes,
  • references, library and other institutional resources, links to Internet resources;
  • homework assignments and solutions;
  • on-line homework submission;
  • grade management: remote private access to grading information for the student, spreadsheets and grade statistic functions for the instructor;
  • a wealth of communication types: chat (individual or groups), threaded discussion, e-mail (individual or groups), bulleting board;
  • results.


Evaluation and Grading
New material will be presented in lecture format. Reviews, exercises and homework solutions will take place in discussion. Participation in the discussions, although not mandatory, is strongly recommended and may result in extra credit.
Weekly quizzes on the homework problems, a midterm and a final examination will provide the basis for the grade.
No predetermined scale will be used. The final grade will be assigned based on the following weighting
• Homework Quizzes 40%
• Midterm 25%
• Final 35%

Academic Honesty
Cheating and plagiarism will not be tolerated. They will result in no credit for the examination. This should not be understood as a discouragement for discussing the material or your particular approach to a problem with other students in the class. On the contrary - I urge you to share your thoughts, questions and solutions. Naturally, if you choose to work in a group, I will be expecting more than one and highly original solutions rather than the same mistakes.

Instructor Information
Instructor: Tanya Zlateva, Ph.D., Assoc. Prof.
Office Hours: Tuesday 5-6 p.m. and by appointment
Office Address: 808 Commonwealth Ave., room 250. Boston, MA 02215.
Telephone: 617-353-2568
Fax: 617-353-2367
Tuesday, 6-9 p.m. (Downtown Center)
E-mail: zlateva@bu.edu
web:http://metcs.bu.edu/~zlateva/

 

Homework

Tue 9/14/1999: HW#1
p. 10, Section 1.2: #7, #8
p. 19, Section 1.3: #4, #5, #6, #7

Tue 9/21/1999: HW#2
p. 23: Section 1.4: #5, #6, #7, #8, #9, #10, #11, #12
p. 29, Section 1.5: #4, #5, #6, #7, #10
p. 44, Section 2.1: #4, #10

Tue 9/28/1999: HW#3
p. 44, Section 2.1: #5, #6
p. 47, Section 2.2: all problems
p. 51, Section 2.3: all problems

Tue 10/05/1999: HW#4
p. 61, Section 3.2: #1, #3,#5, #7,#9,#13,#15,#17

Tue 10/12/1999: HW#5
p. 69, Section 3.3: #9,#13
p. 77, Section 3.5: #2,#3e)-n), #12, #15, #16

Tue 10/19/1999: HW#6 (no quiz on this homework)
p. 97, Section 4.1: #1,#2a)-d), #3
p. 109, Section 4.3: #2,#3, #5, #7
p. 115, Section 4.5: #2, #11

Tue 10/26/1999: HW#7
p. 90, Section 3.8: #13, #14, #15, #16, #17, #21, #46. #54, #55
p. 145, Section 5.2: #1, #2, #3,
p. 150, Section 5.3: #1, #2, #3, #4, #5

Tue 11/16/1999: HW#8
p. 195, Section 7.2: #1, #2, #8, #9, #11, #15
p. 204, Section 7.5: #1-a),d), #2-a),b)
p. 214, Section 7.9: #1-a),b), #2

Tue 11/23/1999: HW#9
p. 134, Section 4.9: #1-b),d),e), #2-a),d), #5, #6
p. 219, Section 8.1: #2, #3, #4
p. 221, Section 8.2: #2, #4, #8, #9
p. 252, Section 8.8: #2
p. 257, Section 8.10: #2


References
Textbooks
Ash, Carol; Ash, Robert B.. Calculus Tutoring Book.. IEEE Press, 1985.
Ash, Carol; Ash, Robert B.. Probability Tutoring Book.. IEEE Press (on reserve in Mugar library).

 

Schedule

Week 1: T 09/07 Administrative. Elementary Functions
Readings: Ch.1

Week 2: T 09/14 Elementary Functions (continued).
Readings: Ch.1

Week 3: T 09/21 Limits
Readings: Ch.2

Week 4: T 09/28 Limits(continued).
Readings: Ch.2

Week 5: T 10/05 Derivatives
Readings: Ch.3

Week 6: T 10/12 Derivatives (continued).
Readings: Ch.3

Week 7: T 10/19 Maxima, minima. Graphs of function. L'Hopital's Rule.
Readings: Ch.4

Week 8: T 10/26 The Integral. Review for Midterm.
Readings: Ch.5

Week 9: T 11/02 Midterm.
Antidifferentiation
Readings: Ch.7
Week 10: T 11/09 Series
Readings: Ch.8

Week 11: T 11/16 Vectors. Function of complex variables
Readings: Ch.9, handouts

Week 12: T 11/23 Probability: basic concepts. Axioms. Conditional probability. Independence.
Random variables.
Readings: handouts

Week 13: T 12/30 Distribution (density) and cumulative distribution.
Expectation and standard deviation.
Binomial, Normal and Poisson distribution.
Readings: handouts

Week 14: T 12/07 Review for final.

Week 15: T12/14 Final.


Department of Computer Science
Boston University Metropolitan College
808 Commonwealth Ave, Room 250, Boston, MA. 02215.  Phone: 617 353 2566, Fax: 617 353 2367, Email: csinfo@bu.edu