Math 1313 Streaming Lectures
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| Lecture Outlines | Streaming |
| Section 1.2 - Slopes, Equations and Graphing Lines | |
| Slope Formula | BB / 56K |
| Example 1 | BB / 56K |
| Example 2 | BB / 56K |
| Example 3 | BB / 56K |
| Example 4 | BB / 56K |
| Equations of Lines | BB / 56K |
| Example 5 | BB / 56K |
| Example 6 | BB / 56K |
| Example 7 | BB / 56K |
| Example 8 | BB / 56K |
| Example 9 | BB / 56K |
| Example 10 | BB / 56K |
| Parallel and Perpendicular Lines | BB / 56K |
| Example 11 | BB / 56K |
| Example 12 | BB / 56K |
| Example 13 | BB / 56K |
| Example 14 | BB / 56K |
| Example 15 | BB / 56K |
| Example 16 | BB / 56K |
| Intercepts | BB / 56K |
| Example 17 | BB / 56K |
| Example 18 | BB / 56K |
| Example 19 | BB / 56K |
| Section 1.3 - Linear Depreciation, Cost, Revenue, and Profit Functions | |
| Definition: Linear Depreciation | BB / 56K |
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Example 1 |
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| Example 2 | BB / 56K |
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Definitions: Cost, Revenue & Profit Functions |
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| Cost, Revenue & Profit Formulas | BB / 56K |
| Example 3 | BB / 56K |
| Section 1.4, Part I - Intersection of Lines | |
| Example 1 | BB / 56K |
| Example 2 | BB / 56K |
| Example 3 | BB / 56K |
| Example 4 | BB / 56K |
| Example 5 | BB / 56K |
| Section 1.4, Part II - Break-Even Analysis | |
| Definition: Break-Even | BB / 56K |
| Graph: Break-Even | BB / 56K |
| Example 1 | BB / 56K |
| Example 2 | BB / 56K |
| Example 3 | BB / 56K |
| Section 1.5 - The Method of Least-Squares | |
| Method of Least-Squares | BB / 56K |
| Example 1 | BB / 56K |
| Example 2 | BB / 56K |
| Example 3 | BB / 56K |
| 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 |
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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 | BB / 56K |
| Example 1 | BB / 56K |
| Example 2 | BB / 56K |
| Example 3 | BB / 56K |
| Example 4 | BB / 56K |
| Example 5 | BB / 56K |
| Section 3.1, Part II - Graphing Systems of Linear Inequalities | |
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Definition: Solution Set of a System of Linear Inequalities |
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| Example 1 | BB / 56K |
| Example 2 | BB / 56K |
| Example 3 | BB / 56K |
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Definitions: Bounded and Unbounded Solution Sets |
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| Example 4 | BB / 56K |
| Example 5 | BB / 56K |
| Example 6 | BB / 56K |
| Example 7 | BB / 56K |
| Section 3.2 - Linear Programming Problems | |
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Definitions: Objective Function, Constraints, and Linear Programming Problem |
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| Example 1 | BB / 56K |
| Example 2 | BB / 56K |
| Example 3 | BB / 56K |
| Section 3.3 - Graphical Solution of Linear Programming Problems | |
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Definitions: Feasible Set, Feasible Solution, and Optimal Solution |
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| The Method of Corners | BB / 56K |
| Example 1 | BB / 56K |
| Example 2 | BB / 56K |
| Example 3 | BB / 56K |
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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 | BB / 56K |
| Effective Rate of Interest Formula | BB / 56K |
| Example 9 | BB / 56K |
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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 | BB / 56K |
| Example 1 | BB / 56K |
| Example 2 | BB / 56K |
| Example 3 | BB / 56K |
| Example 4 | BB / 56K |
| Example 5 | BB / 56K |
| Example 6 | BB / 56K |
| Example 7 | BB / 56K |
| Example 8 | BB / 56K |
| Example 9 | BB / 56K |
| Example 10 | BB / 56K |
| Example 11 | BB / 56K |
| Example 12 | BB / 56K |
| Example 13 | BB / 56K |
| Section 6.1, Part I - Set Notation and Terminology | |
| Definitions: Set, Element, and Set Builder Notation | BB / 56K |
| Example 1 | BB / 56K |
| Definitions: Subset and Equal Sets | BB / 56K |
| Example 2 | BB / 56K |
| Definition: Proper Subset | BB / 56K |
| Example 3 | BB / 56K |
| Example 4 | BB / 56K |
| Definitions: Universal Set and Venn Diagram | BB / 56K |
| Definition: Set Union | BB / 56K |
| Definition: Set Intersection | BB / 56K |
| Definition: Complement | BB / 56K |
| Section 6.1, Part II - Set Operations | |
| Set Complementation Properties | BB / 56K |
| Set Operation Properties | BB / 56K |
| DeMorgan's Laws | BB / 56K |
| Example 1 | BB / 56K |
| Example 2 | BB / 56K |
| Example 3 | BB / 56K |
| Example 4 | BB / 56K |
| Example 5 | BB / 56K |
| Example 6 | BB / 56K |
| Section 6.1, Part III - Venn Diagrams | |
| Example 1 | BB / 56K |
| Example 2 | BB / 56K |
| Example 3 | BB / 56K |
| Example 4 | BB / 56K |
| Example 5 | BB / 56K |
| Example 6 | BB / 56K |
| Example 7 | BB / 56K |
| Example 8 | BB / 56K |
| Example 9 | BB / 56K |
| Example 10 | BB / 56K |
| Section 6.2 - Number of Elements in a Set | |
| Example 1 | BB / 56K |
| Example 2 | BB / 56K |
| Example 3 | BB / 56K |
| Example 4ab | BB / 56K |
| Example 4cd | BB / 56K |
| Example 4ef | BB / 56K |
| Section 6.3 - The Multiplication Principle | |
| The Multiplication Principle | BB / 56K |
| Example 1 | BB / 56K |
| Example 2 | BB / 56K |
| Example 3 | BB / 56K |
| Example 4 | BB / 56K |
| Section 6.4 - Permutations and Combinations | |
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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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| Mixed Problems from Sections 6.3 and 6.4 | |
| Example 1 | BB / 56K |
| Example 2 | BB / 56K |
| Example 3 | BB / 56K |
| Example 4 | BB / 56K |
| Example 5 | BB / 56K |
| Example 6 | BB / 56K |
| Example 7 | BB / 56K |
| Example 8 | BB / 56K |
| Example 9 | BB / 56K |
| Example 10 | BB / 56K |
| Section 7.1 - Experiments, Events and Sample Spaces | |
| Terminology | BB / 56K |
| Operations | BB / 56K |
| More Complicated Sample Spaces | BB / 56K |
| Example 6 | BB / 56K |
| Example 7 | BB / 56K |
| Example 8 | BB / 56K |
| Example 9 | BB / 56K |
| Example 10 | BB / 56K |
| Section 7.2 - Definition of Probability | |
| Two Approaches | BB / 56K |
| Definitions and Properties | BB / 56K |
| Examples 3-4 | BB / 56K |
| Using a Probability Distribution, Example 5 | BB / 56K |
| Examples 6-7 | BB / 56K |
| Example 8 | BB / 56K |
| Section 7.3 - Rules of Probability | |
| Five Basic Rules of Probability | BB / 56K |
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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 | BB / 56K |
| Section 7.4 - Use of Counting Techniques | |
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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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| Example 5 | BB / 56K |
| Example 6 | BB / 56K |
| Section 7.5, Part I - Conditional Probability | |
| Basic Information | BB / 56K |
| Example 3 | BB / 56K |
| Example 4 | BB / 56K |
| Example 5 | BB / 56K |
| Example 6 | BB / 56K |
| Example 7 | BB / 56K |
| Section 7.5, Part II - Independent Events | |
| Basic Formula | BB / 56K |
| Example 1 | BB / 56K |
| Examples 2-3 | BB / 56K |
| Section 7.6 - Bayes' Theorem | |
| Example 1 | BB / 56K |
| Example 2 | BB / 56K |
| Example 3 | BB / 56K |
| Example 4 | BB / 56K |
| Example 5 | BB / 56K |
| Example 6 | BB / 56K |
| Section 8.1 - Distributions of Random Variables | |
| Basic Information | BB / 56K |
| Example 4 | BB / 56K |
| Example 5 | BB / 56K |
| Types of Random Variables | BB / 56K |
| Section 8.2, Part I - Expected Value | |
| Mean of a Set of Data | BB / 56K |
| Definition | BB / 56K |
| Example 3 | BB / 56K |
| An Application | BB / 56K |
| Section 8.2, Part II - Odds | |
| Formulas | BB / 56K |
| Examples 1-2 | BB / 56K |
| Examples 3-4 | BB / 56K |
| Section 8.3, Part I - Variance and Standard Deviation | |
| Definition of Variance | BB / 56K |