Math210 - Introduction to Probability & Statistics I, 4 hrs, 4 crs.

Prereq: Math 122 (Calculus II)

Text: Robert Hogg & Elliot Tanis, Probability and Statistical Inference,
      4-th edition, MacMillan, NY 1993

Reference: W. Feller, An Introduction to Probability Theory and Its Applications I,
           4-th ed., John Wiley & Sons, 1968


Goals:
  1. Teach fundamentals of theory of probability
  2. Introduce discipline of statistics (collection and analysis of data)
  3. Emphasize applications, and
  4. Prepare students pursuing application areas like acturial science, computer science and engineering
Course Description
    Introduce:
  1. Basic data analysis
  2. Elements of probability theory including combinatorial probability, probability distributions of both discrete and continuous types
  3. Mathematical expectation
  4. Special distributions like binomial, Poison, geometric, uniform, exponential, Gamma, chi-square, normal, and
  5. Basic multivariate distributions. 
Content(*)                                    Suggested Hours

Chapter 1  Summary and Display of Data                8
           §1.1 - §1.6

Chapter 2  Probability                               12
           §2.1 - §2.5

Chapter 3  Discrete Distributions                    16
           §3.1 - §3.8

Chapter 4  Continuous Distribution                   12
           §4.1 - §4.5

Chapter 5  Sampling Distribution Theory               4
           §5.1 (including generalized hypergeometric
           distribution and multinomial distribution)

Review/tests                                          4

Final Exam                                            2
                                    -------------------------
                                      Total Hours:   58
* Author Tanis and Dr. Zaven Kiren published a software accompanying this text, which should be considered as part of the course material.

Grading Practice: Three 1-hour in class tests plus final exam.