MTH225 Spring 2011 Syllabus

Topic NumberMajor TopicText Chapter(s)Subtopics
1 Probability 1Overview
N/AUsing Technology
1.2Pictoral and Tabular Methods
1.3Measures of Location
1.4Measures of Variability
2 Probability 2.1Experiments, Sample Spaces and Events
N/ABernoulli Trials
2.2Axioms, Interpretations, and Properties
2.3Counting Techniques
2.4Conditional Probability
2.5Independence
3 Discrete Random Variables 3.1Random Variables
3.2Discrete Probability Distributions
3.3Expected Values
3.4The Binomial Distribution
3.5The Geometric, Negative Binomial, and Hypergeometric Distributions
3.6The Poisson Distribution
4 Continuous Random Variables 4.1Probability Density Functions
4.2Cumulative Distribution Functions and Expected Values
4.3The Normal Distribution
N/AOther Continuous Distributions
5 Sampling Distributions 5.4Distribution of the Sample Mean
5.4The Central Limit Theorem
6 Confidence Intervals 7.1Basic Properties of Confidence Intervals
7.2Large Sample Results
7.3Normal Population Results
7.4Confidence Intervals for the Variance and Standard Deviation of a Normal Population
7 Hypothesis Testing 8.1Hypotheses and Test Procedures
8.2Tests About a Population Mean
8.3Tests About a Population Proportion
8.4P-Values
8 Inference Based on Two Samples 9.1The Difference Between Two Polulation Means (Known Variance)
9.2The Difference Between Two Polulation Means (Unknown Variance)
9.3Analysis of Paired Data
 Applications of the Normal Distribution
9 The Analysis of Variance N/ALinear Models Overview
10.1Single-Factor ANOVA
11.1Two-Factor ANOVA
12.1Simple Linear Regression
10 Goodness of Fit and Categorical Data Analysis 14.2Goodness of Fit
14.3Two-Way Contingency Tables