Syllabus—Math 270, Winter 2012
Instructor:
Office:
Phone:
e-mail:
Office hours:
Mike “Quimby” Krebs
Simpson Tower F214
(323) 343-2166 from off campus, x3-2166 from on campus
mkrebs@calstatela.edu
Tuesdays and Thursdays 1:25–2:25 p.m. in ST-F214
Mondays 1:10–3:10 p.m. in SH-C357
Class location:
Days/times:
Textbook:
ST-F171
TR 11:30 a.m.–1:20 p.m.
Probability and Stochastic Processes: A Friendly Introduction for Electrical and Computer Engineers by
Roy D. Yates and David Goodman, Wiley; 2nd edition (May 20, 2004), ISBN-10: 0471272140, ISBN-13:
978-0471272144
Tues., Mar. 20 from 10:45 a.m. to 1:15 p.m.
Follow the link from www.calstatela.edu/faculty/mkrebs
Final exam period:
Class website:
General course description
Prerequisites: MATH 208, MATH 248. Descriptive statistics, sample mean and variance, basic rules of probability, conditional
probability, independence, random variables, special discrete and continuous distributions, expectation, central limit theorem.
Application: Markov chains.
Requirements
Basis for evaluation: There will be two tests.
Student learning outcomes
Students who successfully complete this course will be able to:
1. Determine frequencies and relative frequencies
2. Draw a histogram of the data
3. Construct a stem-and-leaf display of the data.
4. Calculate the values of the sample mean and median
5. Find the Standard Deviation, Lower fourth, Upper fourth, Fourth spread, Trimmed Mean
6. Construct a boxplot.
7. Draw a Venn diagram
8. Compute a probability
9. Apply counting techniques to solve permutations and combinations problems
10. Draw a tree diagram to determine a probability
11. Find a conditional probability
12. Compute Expected Value E(X) and Variance V(X) of a discrete random variable
13. Calculate and graph the cumulative distribution function of a discrete/continuous random variable
14. Find a probability using binomial tables, cumulative distribution function B(x;n,p)
15. Find a probability using binomial probability mass function b(x;n,p)
16. Find a probability using Poisson distribution table, cumulative distribution function F(x;)
17. Find a probability using Poisson probability mass function p(x; )
18. Find a probability of an exponential distribution
19. Compute Expected Value E(X) and Variance V(X) of a continuous random variable
20. Obtain a cdf (cumulative distribution function), expected value, standard deviation, and variance of a continuous random variable
using integration.
21. Find the (100p)th percentile of a distribution
22. Compute a probability by standardizing to normal distribution
23. Calculate a joint probability in two variables
24. Determine the marginal pmf of a discrete random variable
25. Find Expected Values, Covariance, and Correlation of a discrete joint distribution
26. Construct the joint probability table
Grading system: Tests: 50% each.
I will use plusses and minuses with the letter grades, when they’re warranted. Note: there is no A+ grade for any class. I will abide by
CSULA’s policy on incomplete grades; see
www.calstatela.edu/univ/advise/bb/Grade_Related_Information/incomplete.htm
for more information.
Topical outline: The following is the preliminary day-by-day plan for the course.
Jan. 10
Jan. 12
Jan. 17
Jan. 19
Jan. 24
Jan. 26
Jan. 31
Feb. 2
Feb. 7
Feb. 9
1.1, 1.2, 1.3
1.4, 1.5, 1.6
1.7, 1.8
2.1, 2.2, 2.3
2.4, 2.5, 2.6
2.7, 2.8, 2.9
3.1, 3.2, 3.3
3.4, 3.5
Review
Test #1
Feb. 14
Feb. 16
Feb. 21
Feb. 23
Feb. 28
Mar. 1
Mar. 6
Mar. 8
Mar. 13
Mar. 15
4.1, 4.2
4.3, 4.4
4.5, 4.10
10.1, 10.2
10.3, 10.4
10.5, 10.6
10.7, 12.1
12.2, 12.3
Review
Test #2
Students with Disabilities: Reasonable accommodation will be provided to any student who is registered with the Office of Students
with Disabilities and requests needed accommodation.
Academic honesty statement: Students are expected to do their own work. Copying the work of others, cheating on exams, and
similar violations will be reported to the University Discipline Officer, who has the authority to take disciplinary actions against
students who violate the standards of academic honesty.
Student responsibilities: Students are responsible for being aware of all announcements that are made in class, such as changes in
exam dates, due dates of homework and papers, and cancellation of class due to instructor’s absence. Students are responsible for
announcements made on days that they are absent.
Students must check their CSULA email account regularly for information from the instructor and the Department. Failure to do so
may result in missed deadlines or other consequences that might adversely affect students. Note that you can forward this email
account to any other account of your choosing.