Math 3215 G. Professor Johan G. F. Belinfante
Spring 2008 Tentative Syllabus

 
Textbook:  Hogg and Tanis
           Probability and Statistical Inference, 7th ed.
                  
Date       Chapter.Section/Topics   (and Suggested Problems)  

M  Jan 7   1.1-1.2 Probability Axioms   (1.2-8, 1.2-10)
W     9    1.3 Counting                 (1.3-14)
F    11    1.3 Positive and Negative Binomial Coefficients

M    14    1.4 Conditional Probability  (1.4-9, 1.4-18)
W    16    1.5 Independent Events       (1.5-1, 1.5-11, 1.5-16)
F    18    1.6 Bayes Theorem            (1.6-7, 1.6-10)

M    21    *** holiday (Martin Luther King Day)  no class ***   
W    23    2.1 Discrete Random Variables (2.1-3, 2.1-6, 2.1-10)
F    25    2.2 Expected Value and Mean   (2.2-14)

M    28    2.3 Standard Deviation and Variance  (2.3-4, 2.3-9)
W    30    2.4 Bernoulli Trials         (2.4-1, 2.4-3, 2.4-10, 2.4-13)
F  Feb 1   2.5 Moment Generating Function (mgf)  (2.4-19, 2.4-22, 2.5-3, 2.5-19)

M     4    2.5 Negative Binomial Distribution    (2.5-5, 2.5-8, 2.5-12, 2.5-16)
W     6    2.6 Poisson distribution  (2.6-6, 2.6-10)
F     8    2.6 Poisson distribution  (2.6-24)

M    11    *** first examination ***      (closed books)
W    13    3.1-3.2 Continuous Random Variables   (3.1-1, 3.2-8, 3.2-12, 3.2-15, 3.3-1, 3.3-5, 3.3-6)
F    15    3.3 Uniform and Exponential Distributions  (3.3-8, 3.3-9, 3.3-11, 3.3-12, 3.3-13, 3.3-20)

M    18    3.4 Chi Square Distribution (3.4-1, 3.4-2, 3.4-3, 3.4-4)
W    20    3.4 Waiting Times for a Poisson Process  (3.4-8, 3.4-9, 3.4-13, 3.4-14) 
F    22    3.5 Functions of a Random Variable  (3.5-1, 3.5-3, 3.5-6, 3.5-10, 3.5-12)

M    25    4.1 Two Random Variables  (4.1-1, 4.1-7, 4.1-9, 4.1-10) 
W    27    4.2 Correlation Coefficient (4.2-1, 4.2-4, 4.2-5, 4.2-7, 4.2-10)
F    29    4.2 The Trinomial Distribution  (4.2-6)

M  Mar 3   4.3 Conditional Distributions  (4.3-1, 4.3-5, 4.3-16)
W     5    4.4 Transformations of Random Variables (4.4-2, 4.4-4, 4.4-6, 4.4-7, 4.4-8)
F     7    4.5 Independent Random Variables  (4.5-1, 4.5-2, 4.5-5)
    
M    10    4.6 Sums of Independent Random Variables  (4.6-1, 4.6-4, 4.6-6, 4.6-7)
W    12    4.6 Sums of Independent Random Variables  (4.6-10, 4.6-14)
F    14    4.7 Convergence and Chebyshev's Inequality  (4.7-2, 4.7-6)

M    17    *** holiday (Spring 2008 Recess)  no class ***    
W    19    *** holiday (Spring 2008 Recess)  no class ***    
F    21    *** holiday (Spring 2008 Recess)  no class ***    
 
M    24    *** second examination *** 
W    26    Second Examination Redux
F    28    5.1-5.2 Normal Distribution   (5.2-1, 5.2-6, 5.2-10, 5.2-16, 5.2-22)

M    31    5.3 Random Samples from a Normal Distribution  (5.3-1, 5.3-5, 5.3-16, 5.3-17)
W  Apr 2   5.3 Distribution of the Sample Variance
F     4    5.3 Student's t-distribution

M     7    5.4 and 5.7 Central Limit Theorem  (5.4-1, 5.4-2, 5.4-3, 5.4-5)
W     9    5.5 Normal Approximations to Probability Distributions  (5.5-1, 5.5-9, 5.5-14, 5.5-18)
F    11    6.1-6.2 Point estimation; Maximum Likelihood  (6.2-3, 6.2-4)

M    14    6.4 Confidence intervals for Means  (6.4-7)
W    16    6.7-6.8 Confidence Intervals for Proportions; Sample Size (6.7-2, 6.8-4, 6.8-16)
F    18    8.1 Tests about Proportions (8.1-2, 8.1-14)

M    21    8.2 Tests about Mean   (8.2-1, 8.2-2)
W    23    8.5 Chi square Goodness of Fit Tests  (8.5-1, 8.5-8)
F    25    Review (Last day of classes) 

Final exam: Monday 2008 April 28 at 2:50-5:40 p.m. in Skiles Room 270.

Be aware that the tentative final exam information available on the Registrar web site is subject to change.


homepage for Belinfante's Math 3215.

Revised: 2008 April 14