Quick Chart
| Instructor | Professor J. Zinn |
| Office | Milner Hall 127 |
| Office Hours |
M,F 1:30 to 2:20pm, Wed. 1:15-2pm
or by appointment |
| Exam 1 | TBA |
| Exam 2 | TBA |
| Final Exam | December 9, Friday, 3-5 pm |
Syllabus
Instructor: Professor J. Zinn
Office: Milner 127
E-mail: jzinn@math.tamu.edu
Fax: (979) 845-6028Textbook. Elementary Probability for Applications, by Richard Durrett, Cambridge University .
Course Descripton: Mathematical Probability. (3-0). Credit 3. I, II Probability spaces, discrete and continuous random variables, special distributions, joint distributions, expectations, law of large numbers, the central limit theorem. Prerequisite: MATH 221 or equivalent.
LEARNING OBJECTIVES: Students will become proficient in the topics listed in the Course Description with particular emphasis on mastering computational aspects of the material.
Schedule: The following is approximate and subject to change depending on the needs of the class.
Chapter 1, 6 days
Chapter 2, 5 days
Chapter 3, 3 days
Chapter 4, 9 days
Chapter 5, 9 days
Chapter 6, 4 daysGrading. Course grades will be based on the following:
1. Two midterms, each worth 25%.2. Weekly Homeworks (total of 15%), to be turned in every Wednesday. The homework assignments will be posted here
3. Final (35%).
4. As usual 90 - 100% -> A; 80-89.9999% -> B; 70-79.9999% -> C and 60-69.9999% -> D.
MAKE-UPS: These will only be given in cases authorized under TAMU Regulations. If you miss an exam you must contact me immediately.
Statement on SCHOLASTIC DISHONESTY: The Faculty Senate version for the first day handout:``As commonly defined, plagiarism consists of passing off as one's own the ideas, words, writings, etc., which belong to another. In accordance with this definition, you are committing plagiarism if you copy the work of another person and turn it in as your own, even if you should have the permission of that person. Plagiarism is one of the worst academic sins, for the plagiarist destroys the trust among colleagues without which research cannot be safely communicated.''
More on SCHOLASTIC DISHONESTY: Copying work done by others, either in-class or out of class, is an act of scholastic dishonesty and will be prosecuted to the full extent allowed by University policy. Collaboration on assignments, either in-class or out-of-class, is forbidden unless permission to do so is granted by your instructor. For more information on university policies regarding scholastic dishonesty, see University Student Rules.
Americans with Disabilities Act: The Americans with Disabilities Act (ADA) is a federal anti-discrimination statute that provides comprehensive civil rights protection for persons with disabilities. Among other things, this legislation requires that all students with disabilities be guaranteed a learning environment that provides for reasonable accommodation of their disabilities. If you believe you have a disability requiring an accommodation, please contact the office of Disability Services in Cain Hall (telephone 979-845-1637).
COPYRIGHT POLICY: All printed materials disseminated in class or on the web are protected by Copyright laws. One xerox copy (or download from the web) is allowed for personal use. Multiple copies or sale of any of these materials is strictly prohibited.
SPECIAL SERVICES: Students with disabilities can get assistance from the Office of Services for Students with Disabilities (845-1637).
Topics:
Chapter 1. Basic Concepts
1.1. Outcomes, Events, Probability
1.2. Flipping coins, the World Series
1.3. Independence
1.4. Distributions
1.5. Expected Value
1.6. Moments, Variance
1.7. Exercises
Chapter 2. Combinatorial Probability
2.1. Permutations and combinations
2.2. Binomial and multinomial distributions
2.3. Poisson approximation
2.4. Card games and other urn problems
2.5. Probabilities of unions, Joe DiMaggio's streak
2.6. Blackjack
2.7. Exercises
Chapter 3. Conditional Probability
3.1. Definition
3.2. Two-stage experiments
3.3. Bayes formula
3.4. Joint distributions
3.5. Exercises
Chapter 5. Continuous Distributions
5.1. Density functions
5.2. Distribution functions
5.2. Functions of random variables
5.3. Joint distributions
5.4. Marginal and conditional distributions
5.5. Exercises
Chapter 6. Limit Theorems
6.1. Sums of independent random variables
6.2. Mean and variance of sums
6.3. Laws of large numbers
6.4. Normal distribution
6.5. Central limit theorem
6.6. Applications to statistics
6.7. Exercises