Lecture Notes

This notes give an outline of the material that will be covered in class. I may add additional examples to clarify/illustrate concepts during the lecture.

The completed notes will be posted after the section has been finished. Be advised that the completed notes will not have everything that I say during class. The problems will be completely worked out but some additional information (hints, warnings, analysis of the problem,..) will not we written out in the completed notes.

Quick Links: Exam 1 Material Exam 2 Material Exam 3 Material Final Exam New Material

Exam 1 Material
Section Notes
Section 6.1: Sets and Set Operations blank completed
Section 6.2: Venn Diagrams blank completed
Section 6.3: Multiplication Principle blank completed
Section 6.4: Permutations and Combinations blank completed
Section 7.1: Experiments, Sample Spaces, and Events blank completed
Section 7.2 and Section 7.3: Probability and its Rules blank completed
Section 7.4: Use of Counting Techniques in Probability blank completed
Section 7.5 and Section 7.6: Conditional Probability and Independence blank completed
Exam 2 Material
Section Notes
Section 8.1: Distribution of Random Variables blank completed
Section 8.2: Expected Value (Part I) blank completed
Section 8.2: Expected Value (Part II)
Section 8.3: Variance and Standard Deviation 		blank completed
Section 8.4: Binomial Distribution blank completed
Section 8.5 and Section 8.6: The Normal Distribution and Applications blank completed
Section 5.1: Simple and Compound Interest blank completed
Section 5.2 and Section 5.3: Annuities blank completed
Exam 3 Material
Section Notes
Section 1.2-1.4: Linear Functions and Applications blank completed
Section 2.1: Systems of Linear Equations blank completed
Section 2.4: Matrices blank completed
Section 2.5: Matrix Multiplication blank completed
Section 2.6: Inverse of a Square Matrix blank completed
Section 2.2 and Section 2.3: Solving Systems of Equations blank completed
Section 2.7: Leontief Input-Output Model blank completed
Section 3.2: Linear Programming Problems blank completed
Section 3.1: Graphing Inequalities blank completed
Section 3.3: Solutions to Linear Programming Problems blank completed
Section 4.1: The Simplex Method: Standard Maximization Problems blank completed
Section 4.2: The Simplex Method: Standard Minimization Problems blank completed
Section 4.3: The Simplex Method: Nonstandard Problems blank completed
New Material for the Final
Section Notes
Section 9.1: Markov Process blank completed
Section 9.2: Regular Markov Process blank completed
Section 9.3: Absorbing Markov Chain blank completed