|Meeting Time||MWF, 9:00—9:50|
|Meeting Room||CHVEZ 105|
|Instructor||Professor Marek Rychlik|
|Personnel||Day(s) of the Week||Hour||Room||Comment|
|Marek Rychlik||M||10:30pm—11:30pm||Mathematics 605||Regular Office Hours in my office|
|Marek Rychlik||M||2:30pm—3:30pm||Mathematics 605||Regular Office Hours in my office|
|Marek Rychlik||W||11:00—12:00||Mathematics 220||Math Upper-Division Tutoring|
Introduction to Probability and Its Applications, Third Edition, Richard L. Sheaffer, Brooks/Cole Cengage Learning, required.
Homework is assigned throughout the semester. Two types of homework will be assigned:
Homework, class attendance and class participation are evaluated as follows.
|1||Aug 24—Aug 28||Probability in the World Around Us. Randomness with known and unknown structure. Introduction to R.||1.1, 1.2, 1.3, 1.4, 1.5, 2.1, 2.2|
|2||Aug 31—Sep 4||Sample Spaces and Events.||2.3|
|3||Sep 7||Labor Day - no class.|
|3||Sep 9—Sep 11||More on sets, sample spaces, events. Inclusion-Exclusion Principle for 2 sets and 3 sets (Example 2.2).||2.2, 2.3|
|4||Sep 14—Sep 18||Definition of Probability. Counting Rules Used in Probability.||2.4, 2.5|
|5||Sep 21||Counting rules. Multi-stage processes. Two-way tables. Probability trees. Review for Midterm 1.||2.4, 2.5|
|5||Sep 23||TAKE-HOME MIDTERM 1 POSTED. Counting Rules. Permutations, Combinations. Distinct vs. identical items.||2.4, 2.5|
|5||Sep 25||Counting Rules used in Probability. Review of Take-Home Midterm 1 topics. Assignment R2.|
|6||Oct 6||NOTE: This syllabus item is added purely to describe R Assignment 3. The topics in this assignment cover: counting rules, conditional probability, Bayes Formula, computing contingency tables with R, computing multinomial coefficients. First encounter of the multi-nomial distribution.||2.4, 3.1, 3.2, 3.3|
|6||Sep 28—Oct 3||Conditional Probability. Independence. Theorem on Total Probability and Bayes Rule.||3.1, 3.2, 3.3|
|7||Oct 5—Oct 9||Theorem on Total Probability and Bayes Rule.||3.3|
|8||Oct 12—Oct 16||Random Variables and Their Probability Distributions.||4.1|
|9||Oct 19||Review for Midterm 2.|
|9||Oct 21||Midterm 2.|
|9||Oct 23||Random Variables and Their Probability Distributions. The Bernoulli Distribution. The Binomial Distribution.||4.1, 4.2, 4.3|
|10||Oct 26—Oct 30||Independence of Random Variables. Distribution of a sum of independent random variables. Convolution of probability functions. Expected Value of Discrete Random Variables. Variance.||4.4, 4.5, 4.6|
|11||Nov 2—Nov 6||Tchebysheff's Inequality. The Geometric Distribution. The Negative Binomial Distribution. The Poisson Distribution. The Hypergeometric Distribution.||4.7, 4.8, 4.9, 4.10|
|12||Nov 9—Nov 13||The Moment-Generating Function. The Probabilty-Generating Function.|
|12||Nov 11||Veteran's Day - no class.|
|12||The Moment-Generating Function. The Probabilty-Generating Function.||4.11, 4.12|
|13||Nov 23—Nov 27||Continuous random Variables and Their Probability Distributions.||5.1, 5.2|
|14||Nov 30||Review for Midterm 3. Expected Values of Continuous Random Variables. The Uniform Distribution. The Exponential Distribution.||5.3, 5.4|
|14||Dec 2||Midterm 3.|
|14||Dec 4||The Gamma Distribution. The Normal Distribution.||5.5, 5.6|
|15||Dec 7—Dec 9||Expectation of Discontinuous functions and Mixed Probability Distributions. Review before the Final Exam.|
|Finals Week||Dec 15 (Tuesday)||Final Exam, 10:30 am - 12:30 pm (regular room).|
Students are expected to attend every scheduled class and to be familiar with the University Class Attendance policy as it appears in the General Catalog. It is the student's responsibility to keep informed of any announcements, syllabus adjustments or policy changes made during scheduled classes.
Students are expected to behave in accordance with the Student Code of Conduct and the Code of Academic Integrity. The guiding principle of academic integrity is that a student's submitted work must be the student's own. University policies can be found at http://policy.arizona.edu/academic.
See http://policy.web.arizona.edu/threatening-behavior-students. No prohibited behavior will be tolerated.
Students who miss the first two class meetings will be administratively dropped unless they have made other arrangements with the instructor.
Students are expected to be present for all exams. If a verifiable emergency arises which prevents you from taking an in-class exam at the regularly scheduled time, the instructor must be notified as soon as possible, and in any case, prior to the next regularly scheduled class. Make-up exams and quizzes will be administered only at the discretion of the instructor and only under extreme circumstances. If a student is allowed to make up a missed exam, (s)he must take it at a mutually arranged time. No further opportunities will be extended. Failure to contact your instructor as stated above or inability to produce sufficient evidence of a real emergency will result in a grade of zero on the exam. Other remedies, such as adjusting credit for other exams, may be considered.
Disabled students must register with Disability Resources and be identified to the course instructor through the University's online process in order to use reasonable accommodations.
It is the University's goal that learning experiences be as accessible as possible. If you anticipate or experience physical or academic barriers based on disability, please let me know immediately so that we can discuss options. You are also welcome to contact Disability Resources 520-621-3268 to establish reasonable accommodations.
Please be aware that the accessible table and chairs in this room should remain available for students who find that standard classroom seating is not usable.
The grade of "I" will be awarded if all of the following conditions are met:
The information contained in the course syllabus, other than the grade and absence policies, is subject to change with reasonable advance notice, as deemed appropriate by the instructor.