Math 3160

• Classes: Tue Thu; 11:00-12:15. Classes start Mon Aug 31st.
• Location: Mathematical Sciences Building, M-211.
• Office Hours: Tue, Thu; 12:15--1:15.
• Exams:
• The first midterm exam will be on Tuesday the 6th of October. Practice Questions are here.
• The second modterm exam will be on Thursday the 19th of November. Practice Questions are here.
• The final exam will be on Tuesday the 15th of December from 10:30 AM until 12:30 PM in MSB 211. Practice Questions are here.
  
• Homework: Will be set once a week on Thursday -- to be handed in the following Thursday.
  
• Syllabus:
• Textbook: A First Course in Probability, seventh edition, by Sheldon Ross.
  
• Outline: This course will cover basic aspects of probability including how to perform standard calculations and introducing the student to common types of problems. The topics that I intend to cover are:
  
• 1.2 The Basic Principle of Counting
• 1.3 Permutations
• 1.4 Combinations
• 1.5 Multinomial Coefficients
• 2.2 Sample Space and Events
• 2.3 Axioms of Probability
• 2.4 Some Simple Propositions
• 2.5 Sample Spaces Having Equally Likely Outcomes
• 3.2 Conditional Probabilities
• 3.3 Bayes Formula
• 3.4 Independent Events
• 4.1 Random Variables
• 4.2 Discrete Random Variables
• 4.3 Expected Value
• 4.4 Expectation of a Function of a Random Variable
• 4.5 Variance
• 4.6 Bernoulli and Binomial Random Variables
• 4.7 The Poisson Random Variable
• 4.9 Properties of the Cumulative Distribution Function
• 5.2 Expectation and Variance of Continuous Random Variables
• 5.3 The Uniform Random Variable
• 5.4 Normal Random Variables
• 5.5 Exponential Random Variables
• 6.1 Joint Distribution Functions
• 6.2 Independent Random Variables
• 6.3 Sums of Independent Random Variables
• 6.4 Conditional Distributions: Discrete Case
• 6.5 Conditional Distributions: Continuous Case
• 7.2 Expectation of Sums of Random Variables
• 7.4 Covariance, Variance of Sums, and Correlations
• 7.5 Conditional Expectation
• 7.7 Moment Generating Functions
• 8.2 Chebyshev's Inequality and the Weak Law of Large Numbers
• 8.3 The Central Limit Theorem
  
• Note: This syllabus may be subject to modest alterations in content as the semester progresses.
  
• Assessment:
• Homework assignments will contribute to 10% of your grade. It is important that you hand them in on time.
• There will be two mid-sessional exams. The first will be worth 20% of your grade and the second 30%.
• There will be a final exam, which will be worth 40%.

Homework