Math 1313 Online Lectures
University of Houston Department of Mathematics
Copyright 2009
Instructions:
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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 |
Intercepts | Flash |
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 |
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Example 2 | Flash |
Definitions: Cost, Revenue & Profit Functions |
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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 4 | Flash |
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 |
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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 |
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Example 3 |
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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 |
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Example 1 | Flash |
Example 2 | Flash |
Example 3 | Flash |
Definitions: Bounded and Unbounded Solution Sets |
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Example 4 | Flash |
Example 5 | Flash |
Example 6 | Flash |
Example 7 | Flash |
Example 8 | Flash |
Example 9 | Flash |
Section 3.2 - Linear Programming Problems | |
Definitions: Objective Function, Constraints, and Linear Programming Problem |
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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 |
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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 |
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Definitions and Formulas: Simple Interest and Accumulated Amount |
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Example 1 |
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Example 2 |
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Definitions and Formula: Compound Interest and Future Value with Compound Interest |
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Example 3 |
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Definition and Formula: Present Value with Compound Interest |
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Example 4 |
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Example 5 |
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Example 6 |
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Example 7 |
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Example 8 | Flash |
Effective Rate of Interest Formula | Flash |
Example 9 | Flash |
Definition: Ordinary Annuity |
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Definition and Formula: Future Value of an Annuity |
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Definition and Formula: Present Value of an Annuity |
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Example 1 |
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Example 2 |
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Example 3 |
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Example 4 |
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Definition and Formula: Amortization |
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Definition and Formula: Sinking Fund |
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Example 1 |
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Example 2 |
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Example 3 |
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Example 4 |
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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 14 | Flash |
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 7 | Flash |
Example 8 | Flash |
Example 9 | Flash |
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 |
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Example 1 |
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Example 2 |
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Example 3 |
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Example 4 |
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Definition and Formula: Permutation of n objects not all distinct |
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Example 5 |
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Definition and Formula: Combination |
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Example 6 |
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Example 7 |
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Example 8 |
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Example 9 |
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Example 10 |
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Example 11 |
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Example 12 |
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Example 13 |
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Example 14 | Flash |
Example 15 | Flash |
Example 16 | Flash |
Example 17 | Flash |
Example 18 | Flash |
Example 19 | Flash |
Example 20 | Flash |
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 11 | Flash |
Example 12 | Flash |
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 |
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Examples 2-4 |
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Example 5 |
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Example 6 |
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Example 7 | Flash |
Example 8 | Flash |
Example 9 | Flash |
Example 10 | Flash |
Example 11 | Flash |
Section 7.4 - Use of Counting Techniques | |
Example 1 |
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Example 2 |
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Example 3 |
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Example 4 |
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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 8 | Flash |
Example 9 | Flash |
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 Distribution | Flash |
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 |