Course Objectives:

1.         Use logic in analyzing real-life situations
2.         Apply counting method techniques to solve real-life problems.
3.         Develop the basic skills in probability necessary to understand and determine the likelihood of real-life events.
4.         Gather, interpret, and analyze real-life data statistically.
 

Topical Outline:

1.         Translate symbolic statements into words and vice-versa.
2.         Determine the truth-value for compound statements.
3.         Determine the negation of statements.
4.         Determine and relate the converse, inverse, and contra positive of conditional statements.
5.         Construct truth tables for compound statements.
6.         Determine the validity of arguments using Euler diagrams and truth tables.
7.         Develop and apply common counting method strategies such as the use of tables, charts, diagrams, patterns, sketches, equations, and formulas
8.         Apply the fundamental counting principle to application problems.
9.         Use the factorial formula to determine the number of ways to arrange objects.
10.       Apply permutations to application problems.
11.       Apply combinations to application problems.
12.       Use the complement and/or additive principles for counting to solve application problems.
13.       Determine the empirical probability and theoretical probability for events.
14.       Determine the odds in favor and the odds against events.
15.       Apply the addition rule of probability to real-life problems.
16.       Apply the multiplication rule of probability to real-life problems.
17.       Apply the binomial probability formula to application problems.
18.       Determine the expected values of random variables that occur in real-life.
19.       Gather, interpret, and present data in frequency distribution tables, histograms, and graphs.
20.       Students find and interpret various measures of central tendency.
21.       Find and interpret various measures of dispersion.
22.       Use z-scores (standard scores) to compare the relative position of data from different distributions
23.       Determine the percentiles and quartiles for data sets and construct box and whiskers plots from the results.
24.       Apply the principles of a normal distribution to real-life data that is normally distributed.
25.       Use regression analysis to formulate relationships that exist between variables.