Math 1313 Online Lectures

University of Houston Department of Mathematics
Copyright 2009

 Instructions:

  1. To access a lecture outline:  Click on a section in the “Lecture Outlines” column. Print the outline so that you can use it to take notes when you view the lectures for that section.
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Lecture Outlines Flash Lectures
Section 1.2 - Slopes, Equations and Graphing Lines  
          Slope Formula Flash
          Example 1 Flash
          Example 2 Flash
          Example 3 Flash
          Example 4 Flash
          Equations of Lines Flash
          Example 5 Flash
          Example 6 Flash
          Example 7 Flash
          Example 8 Flash
          Example 9 Flash
          Example 10 Flash
          Parallel and Perpendicular Lines Flash
          Example 11 Flash
          Example 12 Flash
          Example 13 Flash
          Example 14 Flash
          Example 15 Flash
          Example 16 Flash
          InterceptsFlash
          Example 17 Flash
          Example 18 Flash
          Example 19 Flash
Section 1.3 - Linear Depreciation, Cost, Revenue, and Profit Functions  
          Definition:  Linear Depreciation Flash

          Example 1

Flash
          Example 2 Flash

          Definitions:  Cost, Revenue & Profit Functions

Flash
          Cost, Revenue & Profit Formulas Flash
          Example 3 Flash
Section 1.4, Part I - Intersection of Lines  
          Example 1 Flash
          Example 2 Flash
          Example 3 Flash
          Example 4 Flash
          Example 5 Flash
Section 1.4, Part II - Break-Even Analysis  
          Definition:  Break-Even          Flash
          Graph:  Break-Even Flash
          Example 1 Flash
          Example 2 Flash
          Example 3 Flash
          Example 4Flash
Section 1.5 - The Method of Least-Squares  
          Method of Least-Squares Flash
          Example 1 Flash
          Example 2 Flash
          Example 3 Flash
Section 2.2 - Solving Systems of Linear Equations I  
          Introduction and Definition of a Matrix Flash
          Example 1 Flash
          Example 2 Flash
          Row Reduced Form Flash
          Example 3 Flash
          Row Operations and Notation Flash
          Definition of a Pivot Element Flash
          Example 4 Flash
          The Gauss-Jordan Elimination Method Flash
          Example 5 Flash
          Example 6 Flash
          Example 7 Flash
Section 2.3 - Solving Systems of Linear Equations II  
          Introduction Flash
          Example 1 Flash
          Example 2 Flash
          Example 3 Flash
          Example 4 Flash
          Example 5 Flash
          Example 6 Flash
Section 2.4 - Matrices  
          Introduction Flash
          Example 1 Flash
          Equality of Matrices Flash
          Example 2 Flash
          Addition and Subtraction of Matrices/Laws for
               Matrix Addition
Flash
          Example 3 Flash
          Scalar Product Flash
          Example 4 Flash
          Transpose Flash
          Example 5 Flash
Section 2.5 - Multiplication of Matrices
          Introduction Flash
          Example 1 Flash
          Example 2 Flash
          Laws for Matrix Multiplication Flash
          The Identity Matrix
Flash
          Example 3  
Flash
          Example 4 Flash
Section 2.6 - The Inverse of a Square Matrix
          Introduction Flash
          How to Find the Inverse of a Matrix Flash
          Example 1 Flash
          Example 2 Flash
          Formula for Finding the Inverse of a 2X2 Matrix Flash
          Example 3 Flash
          Example 4 Flash
          Example 5 Flash
Section 3.1, Part I - Graphing Linear Inequalities  
          Steps to Graphing Linear Inequalities Flash
          Example 1 Flash
          Example 2 Flash
          Example 3 Flash
          Example 4 Flash
          Example 5 Flash
Section 3.1, Part II - Graphing Systems of Linear Inequalities  

          Definition:  Solution Set of a System of Linear

                           Inequalities

Flash
          Example 1 Flash
          Example 2 Flash
          Example 3 Flash

          Definitions:  Bounded and Unbounded Solution

                            Sets

Flash
          Example 4 Flash
          Example 5 Flash
          Example 6 Flash
          Example 7 Flash
          Example 8Flash
          Example 9Flash
Section 3.2 - Linear Programming Problems  

          Definitions:  Objective Function, Constraints, and

                             Linear Programming Problem

Flash
          Example 1 Flash
          Example 2 Flash
          Example 3 Flash
Section 3.3 - Graphical Solution of Linear Programming Problems  

          Definitions:  Feasible Set, Feasible Solution, and

                             Optimal Solution

Flash
          The  Method of Corners Flash
          Example 1 Flash
          Example 2 Flash
          Example 3 Flash

Section 5.1 - Simple Interest, Future Value, Present Value, and Effective Rate

 

          Definitions and Formulas:

               Simple Interest and Accumulated Amount

Flash

          Example 1         

Flash

          Example 2

Flash

          Definitions and Formula:

               Compound Interest and Future Value with

               Compound Interest         

Flash

          Example 3

Flash

          Definition and Formula:

               Present Value with Compound Interest

Flash

          Example 4

Flash

          Example 5

Flash

          Example 6

Flash

          Example 7

Flash
          Example 8 Flash
          Effective Rate of Interest Formula Flash
          Example 9 Flash

Section 5.2 - Annuities - Present Value and Future Value

 

          Definition:  Ordinary Annuity

Flash

          Definition and Formula:

               Future Value of an Annuity

Flash

          Definition and Formula:

               Present Value of an Annuity

Flash

          Example 1

Flash

          Example 2

Flash

          Example 3

Flash

          Example 4

Flash

Section 5.3 - Amortizations and Sinking Funds

 

          Definition and Formula:  Amortization

Flash

          Definition and Formula:  Sinking Fund

Flash

          Example 1

Flash

          Example 2

Flash

          Example 3

Flash

          Example 4

Flash

Mixed Problems from Sections 5.1 - 5.3

 
          Types of Problems Presented in Chapter 5 Flash
          Example 1 Flash
          Example 2 Flash
          Example 3 Flash
          Example 4 Flash
          Example 5 Flash
          Example 6 Flash
          Example 7 Flash
          Example 8 Flash
          Example 9 Flash
          Example 10 Flash
          Example 11 Flash
          Example 12 Flash
          Example 13 Flash
Section 6.1, Part I - Set Notation and Terminology  
          Definitions:  Set, Element, and Set Builder Notation Flash
          Example 1 Flash
          Definitions:  Subset and Equal Sets Flash
          Example 2 Flash
          Definition:  Proper Subset Flash
          Example 3 Flash
          Example 4 Flash
          Definitions:  Universal Set and Venn Diagram Flash
          Definition:  Set Union Flash
          Definition:  Set Intersection Flash
          Definition:  Complement Flash
Section 6.1, Part II - Set Operations  
          Set Complementation Properties Flash
          Set Operation Properties Flash
          DeMorgan's Laws Flash
          Example 1 Flash
          Example 2 Flash
          Example 3 Flash
          Example 4 Flash
          Example 5 Flash
          Example 6 Flash
Section 6.1, Part III - Venn Diagrams  
          Example 1 Flash
          Example 2 Flash
          Example 3 Flash
          Example 4 Flash
          Example 5 Flash
          Example 6 Flash
          Example 7 Flash
          Example 8 Flash
          Example 9 Flash
          Example 10 Flash
          Example 11 Flash
          Example 12 Flash
          Example 13 Flash
          Example 14Flash
Section 6.2 - Number of Elements in a Set  
          Example 1 Flash
          Example 2 Flash
          Example 3 Flash
          Example 4 Flash
          Example 5 Flash
          Example 6 Flash
          Example 7Flash
          Example 8Flash
          Example 9Flash
Section 6.3 - The Multiplication Principle  
          The Multiplication Principle Flash
          Example 1 Flash
          Example 2 Flash
          Example 3 Flash
          Example 4 Flash
Section 6.4 - Permutations and Combinations  

          Definitions and Formulas:

               n-Factorial and Permutation

Flash

          Example 1

Flash

          Example 2

Flash

          Example 3

Flash

          Example 4

Flash

          Definition and Formula:

               Permutation of n objects not all distinct

Flash

          Example 5

Flash

          Definition and Formula:  Combination

Flash

          Example 6

Flash

          Example 7

Flash

          Example 8

Flash

          Example 9

Flash

          Example 10

Flash

          Example 11

Flash

          Example 12

Flash

          Example 13

Flash
          Example 14Flash
          Example 15Flash
          Example 16Flash
          Example 17Flash
          Example 18Flash
          Example 19Flash
          Example 20Flash
Mixed Problems from Sections 6.3 and 6.4  
          Example 1 Flash
          Example 2 Flash
          Example 3 Flash
          Example 4 Flash
          Example 5 Flash
          Example 6 Flash
          Example 7 Flash
          Example 8 Flash
          Example 9 Flash
          Example 10 Flash
          Example 11Flash
          Example 12Flash
Section 7.1 - Experiments, Events and Sample Spaces  
          Terminology and Examples 1-3 Flash
          Operations and Example 4 Flash
          Example 5 Flash
          Example 6 Flash
          Example 7 Flash
          Example 8 Flash
          Example 9 Flash
          Example 10 Flash
Section 7.2 - Definition of Probability  
          Two Approaches, Example 1 Flash
          Definitions and Properties,. Example 2 Flash
          Examples 3-4 Flash
          Using a Probability Distribution, Example 5 Flash
          Examples 6-7 Flash
          Example 8 Flash
Section 7.3 - Rules of Probability  
          Five Basic Rules of Probability Flash

          Example 1

Flash

          Examples 2-4

Flash

          Example 5

Flash

          Example 6

Flash
          Example 7 Flash
          Example 8Flash
          Example 9Flash
          Example 10Flash
          Example 11Flash
Section 7.4 - Use of Counting Techniques  

          Example 1

Flash

          Example 2

Flash

          Example 3

Flash

          Example 4

Flash
          Example 5 Flash
          Example 6 Flash
Section 7.5, Part I - Conditional Probability  
          Basic Information and Examples 1-2 Flash
          Example 3 Flash
          Example 4 Flash
          Example 5 Flash
          Example 6 Flash
          Example 7 Flash
          Example 8Flash
          Example 9Flash
Section 7.5, Part II - Independent Events  
          Basic Formula Flash
          Example 1 Flash
          Examples 2-3 Flash
Section 7.6 - Bayes' Theorem  
          Example 1 Flash
          Example 2 Flash
          Example 3 Flash
          Example 4 Flash
          Example 5 Flash
          Example 6 Flash
Section 8.1 - Distributions of Random Variables  
          Basic Information and Examples 1-3 Flash
          Example 4 Flash
          Example 5 Flash
          Types of Random Variables Flash
Section 8.2, Part I - Expected Value  
          Mean of a Set of Data, and Example 1 Flash
          Example 2 and Definition of Expected Value Flash
          Example 3 Flash
          An Application, Example 4 Flash
Section 8.2, Part II - Odds  
          Formulas Flash
          Examples 1-2 Flash
          Examples 3-4 Flash
Section 8.3, Part I - Variance and Standard Deviation  
          Definition of Variance Flash
          Example 1 Flash
          Example 2 Flash
          Definition of Standard Variation, Examples 3-4 Flash
Section 8.3, Part II - Chebychev's Inequality  
          Basic Information Flash
          Examples 1-2 Flash
          Examples 3-4 Flash
Section 8.4 - The Binomial Distribution  
          Binomial Experiments, Example 1 Flash
          Formula for the Binomial DistributionFlash
          Example 2 Flash
          Example 3 Flash
          Examples 4-5 Flash
          Mean, Variance, Standard Deviation, Ex. 6-7 Flash
          Example 8 Flash
Section 8.5 - The Normal Distribution  
          Basic Information Flash
          Using the Standard Normal Table, and Example 1 Flash
          Examples 2-5 Flash
          Another Type of Problem, Examples 6-13 Flash
          Working with the Normal Distribution, Ex. 14-16 Flash
Section 8.6 - The Normal Distribution:  Applications  
          Example 1 Flash
          Example 2 Flash
          Example 3 Flash
          Example 4 Flash
          Approximating the Binomial Distribution Flash
          Example 5 Flash
          Example 6 Flash