Course Modules: Introduction to Numerical Methods

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Numerical Methods: Part 2 of 2 Numerical Methods: Part 2 of 2 0

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Course Information Course Information 1

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Canvas User Orientation Canvas User Orientation 2

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Quiz

Welcome Survey Welcome Survey 3

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Discussion Topic

Help Room Help Room 4

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05.01 BACKGROUND OF INTERPOLATION

05.01 BACKGROUND OF INTERPOLATION 05.01 BACKGROUND OF INTERPOLATION

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Chapter 05.01 Background of Interpolation Chapter 05.01 Background of Interpolation 0

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Chapter 05.01 Definition of Interpolation Chapter 05.01 Definition of Interpolation 1

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Lecture 05.01.01 Uniqueness of Polynomial Interpolant: Part 1 of 2 Lecture 05.01.01 Uniqueness of Polynomial Interpolant: Part 1 of 2 2

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Lecture 05.01.02 Uniqueness of Polynomial Interpolant: Part 2 of 2 Lecture 05.01.02 Uniqueness of Polynomial Interpolant: Part 2 of 2 3

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Multiple Choice Question/Solution Ch 05.01 Background of Interpolation Multiple Choice Question/Solution Ch 05.01 Background of Interpolation 4

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Quiz

Quiz: 05.01.1: Easy Level: Background of Interpolation Quiz: 05.01.1: Easy Level: Background of Interpolation 3 5

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Quiz

Quiz: 05.01.2: Intermediate Level: Background of Interpolation Quiz: 05.01.2: Intermediate Level: Background of Interpolation 3 6

2.0 min_score quiz 159623 1

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05.02 DIRECT METHOD

05.02 DIRECT METHOD 05.02 DIRECT METHOD

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Chapter 05.02 Direct Method Chapter 05.02 Direct Method 0

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Chapter 05.02 Direct Method of Interpolation Chapter 05.02 Direct Method of Interpolation 1

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Lecture 05.02.01 Linear Interpolation Lecture 05.02.01 Linear Interpolation 2

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Lecture 05.02.02 Quadratic Interpolation Lecture 05.02.02 Quadratic Interpolation 3

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Lecture 05.02.03 Cubic Interpolation - Part 1 of 2 Lecture 05.02.03 Cubic Interpolation - Part 1 of 2 4

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Lecture 05.02.04 Cubic Interpolation - Part 2 of 2 Lecture 05.02.04 Cubic Interpolation - Part 2 of 2 5

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Multiple Choice Question/Solution Ch 05.02 Direct Method Multiple Choice Question/Solution Ch 05.02 Direct Method 6

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Quiz

Quiz: 05.02.1: Easy Level: Direct Method Quiz: 05.02.1: Easy Level: Direct Method 3 7

3.0 min_score quiz 159624 1

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Quiz

Quiz: 05.02.2: Intermediate Level: Direct Method Quiz: 05.02.2: Intermediate Level: Direct Method 3 8

3.0 min_score quiz 159625 1

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Quiz

Quiz: 05.02.3: Hard Level: Direct Method Quiz: 05.02.3: Hard Level: Direct Method 3 9

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05.05 SPLINE METHOD

05.05 SPLINE METHOD 05.05 SPLINE METHOD

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Chapter 05.05 Spline Method of Interpolation Chapter 05.05 Spline Method of Interpolation 0

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Chapter 05.05 Spline Method of Interpolation Chapter 05.05 Spline Method of Interpolation 1

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Lecture 05.05.01 Linear Spline Interpolation: Theory Lecture 05.05.01 Linear Spline Interpolation: Theory 2

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Lecture 05.05.02 Linear Spline Interpolation: Example Lecture 05.05.02 Linear Spline Interpolation: Example 3

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Lecture 05.05.03 Quadratic Spline Theory: Part 1 of 2 Lecture 05.05.03 Quadratic Spline Theory: Part 1 of 2 4

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Lecture 05.05.04 Quadratic Spline Theory: Part 2 of 2 Lecture 05.05.04 Quadratic Spline Theory: Part 2 of 2 5

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Lecture 05.05.05 Quadratic Spline Interpolation: Example: Part 1 of 2 Lecture 05.05.05 Quadratic Spline Interpolation: Example: Part 1 of 2 6

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Lecture 05.05.06 Quadratic Spline Interpolation: Example: Part 2 of 2 Lecture 05.05.06 Quadratic Spline Interpolation: Example: Part 2 of 2 7

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Multiple Choice Question/Solution Ch 05.05 Spline Method Multiple Choice Question/Solution Ch 05.05 Spline Method 8

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Quiz

Quiz: 05.05.1: Easy Level: Spline Method Quiz: 05.05.1: Easy Level: Spline Method 3 9

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Quiz

Quiz: 05.05.2: Intermediate Level: Spline Method Quiz: 05.05.2: Intermediate Level: Spline Method 3 10

2.0 min_score quiz 159628 1

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User Experience Survey

User Experience Survey User Experience Survey

Context Module Sub Header

Please tell us about your experience so far. 1

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Quiz

User Experience Survey User Experience Survey 2

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06.01 & 06.02 PRIMER ON REGRESSION

06.01 & 06.02 PRIMER ON REGRESSION 06.01 & 06.02 PRIMER ON REGRESSION

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Chapter 06.01 Primer on Statistical Terminology Chapter 06.01 Primer on Statistical Terminology 0

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Chapter 06.02 Introduction of Regression Analysis Chapter 06.02 Introduction of Regression Analysis 1

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Attachment

Chapter 06.01 Statistics Background of Regression Analysis Chapter 06.01 Statistics Background of Regression Analysis 2

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Chapter 06.02 Introduction of Regression Analysis Chapter 06.02 Introduction of Regression Analysis 3

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Multiple Choice Question/Solution Ch 06.01 & 06.02 Background of Regression Multiple Choice Question/Solution Ch 06.01 & 06.02 Background of Regression 4

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Quiz

Quiz: 06.01.1: Easy Level: Primer on statistical terminology Quiz: 06.01.1: Easy Level: Primer on statistical terminology 3 5

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Quiz

Quiz: 06.01.2: Intermediate Level: Primer on statistical terminology Quiz: 06.01.2: Intermediate Level: Primer on statistical terminology 3 6

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Quiz

Quiz: 06.02.1: Easy Level: Introduction to Regression Quiz: 06.02.1: Easy Level: Introduction to Regression 3 7

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06.03 LINEAR REGRESSION

06.03 LINEAR REGRESSION 06.03 LINEAR REGRESSION

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Chapter 06.03 Linear Regression Chapter 06.03 Linear Regression 0

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Chapter 06.03 Linear Regression Chapter 06.03 Linear Regression 1

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Lecture 06.03.01 Linear Regression Background: Part 1 of 2 Lecture 06.03.01 Linear Regression Background: Part 1 of 2 2

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Lecture 06.03.02 Linear Regression Background: Part 2 of 2 Lecture 06.03.02 Linear Regression Background: Part 2 of 2 3

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Lecture 06.03.03 Linear Regression Derivation: Part 1 of 2 Lecture 06.03.03 Linear Regression Derivation: Part 1 of 2 4

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Lecture 06.03.04 Linear Regression Derivation: Part 2 of 2 Lecture 06.03.04 Linear Regression Derivation: Part 2 of 2 5

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Lecture 06.03.05 Linear Regression: Example Lecture 06.03.05 Linear Regression: Example 6

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Lecture 06.03.06 Linear Regression With Zero Intercept: Derivation Lecture 06.03.06 Linear Regression With Zero Intercept: Derivation 7

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Lecture 06.03.07 Linear Regression With Zero Intercept: Example Lecture 06.03.07 Linear Regression With Zero Intercept: Example 8

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Quiz

Quiz: 06.03.1: Easy Level: Linear Regression Quiz: 06.03.1: Easy Level: Linear Regression 3 9

3.0 min_score quiz 159632 1

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Quiz

Quiz: 06.03.2: Intermediate Level: Linear Regression Quiz: 06.03.2: Intermediate Level: Linear Regression 3 10

3.0 min_score quiz 159633 1

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Quiz

Quiz: 06.03.3: Hard Level: Linear Regression Quiz: 06.03.3: Hard Level: Linear Regression 3 11

2.0 min_score quiz 159634 1

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06.04 NONLINEAR REGRESSION

06.04 NONLINEAR REGRESSION 06.04 NONLINEAR REGRESSION

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Page

Chapter 06.04 Nonlinear Models for Regression Chapter 06.04 Nonlinear Models for Regression 0

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Lecture 06.04.06 Exponential Model Regression: Derivation: Part 1 of 2 Lecture 06.04.06 Exponential Model Regression: Derivation: Part 1 of 2 1

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Lecture 06.04.07 Exponential Model Regression: Derivation: Part 2 of 2 Lecture 06.04.07 Exponential Model Regression: Derivation: Part 2 of 2 2

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Lecture 06.04.08 Exponential Model : Example Part 1 of 2 Lecture 06.04.08 Exponential Model : Example Part 1 of 2 3

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Lecture 06.04.09 Exponential Model : Example Part 2 of 2 Lecture 06.04.09 Exponential Model : Example Part 2 of 2 4

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Lecture 06.04.10 Exponential Model : Transformed Data: Derivation Lecture 06.04.10 Exponential Model : Transformed Data: Derivation 5

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Lecture 06.04.11 Exponential Model : Transformed Data: Example Part 1 of 2 Lecture 06.04.11 Exponential Model : Transformed Data: Example Part 1 of 2 6

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Lecture 06.04.12 Exponential Model : Transformed Data: Example Part 2 of 2 Lecture 06.04.12 Exponential Model : Transformed Data: Example Part 2 of 2 7

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Lecture 06.04.17 Polynomial Model : Derivation: Part 1 of 2 Lecture 06.04.17 Polynomial Model : Derivation: Part 1 of 2 8

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Lecture 06.04.18 Polynomial Model : Derivation: Part 2 of 2 Lecture 06.04.18 Polynomial Model : Derivation: Part 2 of 2 9

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Lecture 06.04.19 Polynomial Model : Example Part 1 of 2 Lecture 06.04.19 Polynomial Model : Example Part 1 of 2 10

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Lecture 06.04.20 Polynomial Model : Example Part 2 of 2 Lecture 06.04.20 Polynomial Model : Example Part 2 of 2 11

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Multiple Choice Question/Solution Ch 06.04 Non Linear Regression Multiple Choice Question/Solution Ch 06.04 Non Linear Regression 12

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Quiz

Quiz: 06.04.1: Easy Level: Nonlinear Regression Quiz: 06.04.1: Easy Level: Nonlinear Regression 3 13

3.0 min_score quiz 163431 1

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Quiz

Quiz: 06.04.2: Intermediate Level: Nonlinear Regression Quiz: 06.04.2: Intermediate Level: Nonlinear Regression 3 14

3.0 min_score quiz 163432 1

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Quiz

Quiz: 06.04.3: Hard Level: Nonlinear Regression Quiz: 06.04.3: Hard Level: Nonlinear Regression 3 15

2.0 min_score quiz 163433 1

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06.05 ADEQUACY OF REGRESSION MODELS

06.05 ADEQUACY OF REGRESSION MODELS 06.05 ADEQUACY OF REGRESSION MODELS

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Chapter 06.05 Adequacy of Regression Models Chapter 06.05 Adequacy of Regression Models 0

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Chapter 06.05 Adequacy of Models for Regression Chapter 06.05 Adequacy of Models for Regression 1

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Lecture 06.05.01 Adequacy of Regression Models: Introduction Lecture 06.05.01 Adequacy of Regression Models: Introduction 2

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Lecture 06.05.02 Adequacy of Regression Models : Check One: Plot the Data Lecture 06.05.02 Adequacy of Regression Models : Check One: Plot the Data 3

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Lecture 06.05.03 Adequacy of Regression Models : Check Two: Standard Error of Estimate Lecture 06.05.03 Adequacy of Regression Models : Check Two: Standard Error of Estimate 4

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Lecture 06.05.04 Adequacy of Regression Models : Check Three: Coefficient of Determination: Part 1 of 2 Lecture 06.05.04 Adequacy of Regression Models : Check Three: Coefficient of Determination: Part 1 of 2 5

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Lecture 06.05.05 Adequacy of Regression Models : Check Three: Coefficient of Determination: Part 2 of 2 Lecture 06.05.05 Adequacy of Regression Models : Check Three: Coefficient of Determination: Part 2 of 2 6

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Lecture 06.05.06 Adequacy of Regression Models : Check Four: Assumption of Random Errors Lecture 06.05.06 Adequacy of Regression Models : Check Four: Assumption of Random Errors 7

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Quiz

Quiz: 06.05.1: Easy Level: Adequacy of Regression Models Quiz: 06.05.1: Easy Level: Adequacy of Regression Models 3 8

3.0 min_score quiz 159638 1

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Quiz

Quiz: 06.05.2: Intermediate Level: Adequacy of Regression Models Quiz: 06.05.2: Intermediate Level: Adequacy of Regression Models 3 9

3.0 min_score quiz 159639 1

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Quiz

Quiz: 06.05.3: Hard Level: Adequacy of Regression Models Quiz: 06.05.3: Hard Level: Adequacy of Regression Models 3 10

2.0 min_score quiz 159640 1

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07.01 PRIMER ON INTEGRAL CALCULUS

07.01 PRIMER ON INTEGRAL CALCULUS 07.01 PRIMER ON INTEGRAL CALCULUS

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Chapter 07.01 Primer on Integral Calculus Chapter 07.01 Primer on Integral Calculus 0

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Chapter 07.01 Primer on Integration Chapter 07.01 Primer on Integration 1

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Lecture 07.01.01 Accumulation Function: Example Lecture 07.01.01 Accumulation Function: Example 2

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Multiple Choice Question/Solution Ch 07.01 Primer on Integral Calculus Multiple Choice Question/Solution Ch 07.01 Primer on Integral Calculus 3

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Quiz

Quiz: 07.01.1: Easy Level: Primer on Integral Calculus Quiz: 07.01.1: Easy Level: Primer on Integral Calculus 3 4

3.0 min_score quiz 159641 1

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Quiz

Quiz: 07.01.2: Intermediate Level: Primer on Integral Calculus Quiz: 07.01.2: Intermediate Level: Primer on Integral Calculus 3 5

2.0 min_score quiz 159642 1

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07.02 TRAPEZOIDAL RULE

07.02 TRAPEZOIDAL RULE 07.02 TRAPEZOIDAL RULE

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Chapter 07.02 Trapezoidal Rule of Integration Chapter 07.02 Trapezoidal Rule of Integration 0

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Chapter 07.02 Trapezoidal Rule of Integration Chapter 07.02 Trapezoidal Rule of Integration 1

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Lecture 07.02.01 Trapezoidal Rule Derivation Lecture 07.02.01 Trapezoidal Rule Derivation 2

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Lecture 07.02.02 Trapezoidal Rule: Example Lecture 07.02.02 Trapezoidal Rule: Example 3

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Lecture 07.02.03 Trapezoidal Rule Multiple Segment Rule: Motivation Lecture 07.02.03 Trapezoidal Rule Multiple Segment Rule: Motivation 4

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Lecture 07.02.04 Trapezoidal Rule Multiple Segment Rule: Derivation Lecture 07.02.04 Trapezoidal Rule Multiple Segment Rule: Derivation 5

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Lecture 07.02.05 Trapezoidal Rule Multiple Segment Rule: Example: Part 1 of 2 Lecture 07.02.05 Trapezoidal Rule Multiple Segment Rule: Example: Part 1 of 2 6

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Lecture 07.02.06 Trapezoidal Rule Multiple Segment Rule: Example: Part 2 of 2 Lecture 07.02.06 Trapezoidal Rule Multiple Segment Rule: Example: Part 2 of 2 7

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Lecture 07.02.07 Trapezoidal Rule Multiple Segment Rule: Error Derivation Lecture 07.02.07 Trapezoidal Rule Multiple Segment Rule: Error Derivation 8

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Lecture 07.02.08 Trapezoidal Rule Multiple Segment Rule: Error Example Lecture 07.02.08 Trapezoidal Rule Multiple Segment Rule: Error Example 9

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Lecture 07.02.09 Method of Undetermined Coefficients: Trapezoidal Rule Derivation Lecture 07.02.09 Method of Undetermined Coefficients: Trapezoidal Rule Derivation 10

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Multiple Choice Question/Solution Ch 07.02 Trapezoidal Rule Multiple Choice Question/Solution Ch 07.02 Trapezoidal Rule 11

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Quiz: 07.02.1: Easy Level: Trapezoidal Rule Quiz: 07.02.1: Easy Level: Trapezoidal Rule 3 12

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Quiz

Quiz: 07.02.2: Intermediate Level: Trapezoidal Rule Quiz: 07.02.2: Intermediate Level: Trapezoidal Rule 3 13

3.0 min_score quiz 159645 1

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Quiz

Quiz: 07.02.3: Hard Level: Trapezoidal Rule Quiz: 07.02.3: Hard Level: Trapezoidal Rule 3 14

2.0 min_score quiz 159644 1

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07.05 GAUSS QUADRATURE

07.05 GAUSS QUADRATURE 07.05 GAUSS QUADRATURE

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Page

Chapter 07.05 Gauss-Quadrature Rule Chapter 07.05 Gauss-Quadrature Rule 0

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Chapter 07.05 Gauss Quadrature Rule of Integration Chapter 07.05 Gauss Quadrature Rule of Integration 1

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Lecture 07.05.01 Method of Undetermined Coefficients: Trapezoidal Rule Derivation Lecture 07.05.01 Method of Undetermined Coefficients: Trapezoidal Rule Derivation 2

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Lecture 07.05.02 2-pt Gaussian Quadrature Rule: Derivation Lecture 07.05.02 2-pt Gaussian Quadrature Rule: Derivation 3

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Lecture 07.05.03 n-pt Gaussian Quadrature Rule: Discussion Lecture 07.05.03 n-pt Gaussian Quadrature Rule: Discussion 4

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Lecture 07.05.04 Converting Limits of Integration Lecture 07.05.04 Converting Limits of Integration 5

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Lecture 07.05.05 Gaussian Quadrature Rule: Example Lecture 07.05.05 Gaussian Quadrature Rule: Example 6

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Lecture 07.05.06 1-pt Gaussian Quadrature Rule: Derivation Lecture 07.05.06 1-pt Gaussian Quadrature Rule: Derivation 7

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Lecture 07.05.07 Complete Derivation of Two Point Gaussian Quadrature Rule: Part 1 of 3 Lecture 07.05.07 Complete Derivation of Two Point Gaussian Quadrature Rule: Part 1 of 3 8

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Lecture 07.05.08 Complete Derivation of Two Point Gaussian Quadrature Rule: Part 2 of 3 Lecture 07.05.08 Complete Derivation of Two Point Gaussian Quadrature Rule: Part 2 of 3 9

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Lecture 07.05.09 Complete Derivation of Two Point Gaussian Quadrature Rule: Part 3 of 3 Lecture 07.05.09 Complete Derivation of Two Point Gaussian Quadrature Rule: Part 3 of 3 10

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Multiple Choice Question/Solution Ch 07.05 Gauss Quadrature Multiple Choice Question/Solution Ch 07.05 Gauss Quadrature 11

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Quiz

Quiz: 07.05.1: Easy Level: Gauss-Quadrature Rule Quiz: 07.05.1: Easy Level: Gauss-Quadrature Rule 3 12

3.0 min_score quiz 159646 1

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Quiz

Quiz: 07.05.2: Intermediate Level: Gauss-Quadrature Rule Quiz: 07.05.2: Intermediate Level: Gauss-Quadrature Rule 3 13

3.0 min_score quiz 159648 1

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Quiz

Quiz: 07.05.3: Hard Level: Gauss-Quadrature Rule Quiz: 07.05.3: Hard Level: Gauss-Quadrature Rule 3 14

2.0 min_score quiz 159647 1

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07.06 DISCRETE DATA INTEGRATION

07.06 DISCRETE DATA INTEGRATION 07.06 DISCRETE DATA INTEGRATION

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Chapter 07.06 Discrete Data Integration Chapter 07.06 Discrete Data Integration 0

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Chapter 07.06 Integrating Discrete Functions Chapter 07.06 Integrating Discrete Functions 1

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Lecture 07.06.01 Integrating Discrete Functions by Average Method Lecture 07.06.01 Integrating Discrete Functions by Average Method 2

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Lecture 07.06.02 Integrating Discrete Functions by Trapezoidal Rule Lecture 07.06.02 Integrating Discrete Functions by Trapezoidal Rule 3

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Lecture 07.06.03 Integrating Discrete Functions via Polynomial Interpolation Lecture 07.06.03 Integrating Discrete Functions via Polynomial Interpolation 4

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Lecture 07.06.04 Integrating Discrete Functions via Spline Interpolation Lecture 07.06.04 Integrating Discrete Functions via Spline Interpolation 5

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Lecture 07.06.05 Integrating Discrete Functions via Regression Method Lecture 07.06.05 Integrating Discrete Functions via Regression Method 6

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Quiz

Quiz: 07.06.1: Easy Level: Discrete Data Integration Quiz: 07.06.1: Easy Level: Discrete Data Integration 3 7

3.0 min_score quiz 159649 1

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Quiz

Quiz: 07.06.2: Intermediate Level: Discrete Data Integration Quiz: 07.06.2: Intermediate Level: Discrete Data Integration 3 8

2.0 min_score quiz 159650 1

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08.01 PRIMER ON ORDINARY DIFFERENTIAL EQUATIONS

08.01 PRIMER ON ORDINARY DIFFERENTIAL EQUATIONS 08.01 PRIMER ON ORDINARY DIFFERENTIAL EQUATIONS

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Page

Chapter 08.01 Primer for Ordinary Differential Equations Chapter 08.01 Primer for Ordinary Differential Equations 0

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Chapter 08.01 Primer for Ordinary Differential Equations Chapter 08.01 Primer for Ordinary Differential Equations 1

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Lecture 08.01.01 Exact Solution of 1st order ODE Lecture 08.01.01 Exact Solution of 1st order ODE 2

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Lecture 08.01.02 Exact Solution of 1st order ODE: Another Example Lecture 08.01.02 Exact Solution of 1st order ODE: Another Example 3

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Lecture 08.01.03 Exact Solution of 2nd order ODE: Distinct Roots of Characteristic Equation Lecture 08.01.03 Exact Solution of 2nd order ODE: Distinct Roots of Characteristic Equation 4

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Lecture 08.01.04 Exact Solution of 2nd order ODE: Repeated Roots of Characteristic Equation Lecture 08.01.04 Exact Solution of 2nd order ODE: Repeated Roots of Characteristic Equation 5

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Lecture 08.01.05 Exact Solution of 2nd order ODE: Complex Roots of Characteristic Equation Lecture 08.01.05 Exact Solution of 2nd order ODE: Complex Roots of Characteristic Equation 6

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Multiple Choice Question/Solution Ch 08.01 Primer on Ordinary Differential Equations Multiple Choice Question/Solution Ch 08.01 Primer on Ordinary Differential Equations 7

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Quiz

Quiz: 08.01.1: Easy Level: Primer on Ordinary Differential Equations Quiz: 08.01.1: Easy Level: Primer on Ordinary Differential Equations 3 8

3.0 min_score quiz 159651 1

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Quiz

Quiz: 08.01.2: Intermediate Level: Primer on Ordinary Differential Equations Quiz: 08.01.2: Intermediate Level: Primer on Ordinary Differential Equations 3 9

2.0 min_score quiz 159652 1

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08.02 EULER'S METHOD

08.02 EULER'S METHOD 08.02 EULER'S METHOD

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Chapter 08.02 Eulers method Chapter 08.02 Eulers method 0

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Chapter 08.02 Euler’s Method for Ordinary Differential Equations Chapter 08.02 Euler’s Method for Ordinary Differential Equations 1

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Lecture 08.02.01 Euler's Method of Solving ODEs: Derivation Lecture 08.02.01 Euler's Method of Solving ODEs: Derivation 2

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Lecture 08.02.02 Euler's Method of Solving ODEs: Example Lecture 08.02.02 Euler's Method of Solving ODEs: Example 3

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Lecture 08.02.03 Euler's Method of Estimating Integrals: Theory Lecture 08.02.03 Euler's Method of Estimating Integrals: Theory 4

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Lecture 08.02.04 Euler's Method of Estimating Integrals: Example Lecture 08.02.04 Euler's Method of Estimating Integrals: Example 5

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Multiple Choice Question/Solution Ch 08.02 Euler's Method Multiple Choice Question/Solution Ch 08.02 Euler's Method 6

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Quiz

Quiz: 08.02.1: Easy Level: Eulers method Quiz: 08.02.1: Easy Level: Eulers method 3 7

3.0 min_score quiz 159653 1

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Quiz

Quiz: 08.02.2: Intermediate Level: Eulers method Quiz: 08.02.2: Intermediate Level: Eulers method 3 8

3.0 min_score quiz 159654 1

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Quiz

Quiz: 08.02.3: Hard Level: Eulers method Quiz: 08.02.3: Hard Level: Eulers method 3 9

2.0 min_score quiz 159655 1

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08.03 RUNGE-KUTTA 2nd ORDER METHOD

08.03 RUNGE-KUTTA 2nd ORDER METHOD 08.03 RUNGE-KUTTA 2nd ORDER METHOD

Complete One Item

Page

Chapter 08.03 Runge-Kutta 2nd order method Chapter 08.03 Runge-Kutta 2nd order method 0

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MC Question/Solution Ch 08.03 Runge Kutta 2nd Order Method MC Question/Solution Ch 08.03 Runge Kutta 2nd Order Method 1

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Lecture 08.03.01 Runge-Kutta 2nd Order Method: Background Lecture 08.03.01 Runge-Kutta 2nd Order Method: Background 2

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Lecture 08.03.02 Runge-Kutta 2nd Order Method: Formulas Lecture 08.03.02 Runge-Kutta 2nd Order Method: Formulas 3

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Lecture 08.03.03 Runge-Kutta 2nd Order Method: Heun's Method Lecture 08.03.03 Runge-Kutta 2nd Order Method: Heun's Method 4

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Lecture 08.03.04 Runge-Kutta 2nd Order Method: Midpoint Method Lecture 08.03.04 Runge-Kutta 2nd Order Method: Midpoint Method 5

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Lecture 08.03.05 Runge-Kutta 2nd Order Method: Ralston's Method Part 1 of 2 Lecture 08.03.05 Runge-Kutta 2nd Order Method: Ralston's Method Part 1 of 2 6

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Lecture 08.03.06 Runge-Kutta 2nd Order Method: Ralston's Method Part 2 of 2 Lecture 08.03.06 Runge-Kutta 2nd Order Method: Ralston's Method Part 2 of 2 7

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Lecture 08.03.07 Runge-Kutta 2nd Order Method: Derivation Part 1 of 2 Lecture 08.03.07 Runge-Kutta 2nd Order Method: Derivation Part 1 of 2 8

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Lecture 08.03.08 Runge-Kutta 2nd Order Method: Derivation Part 2 of 2 Lecture 08.03.08 Runge-Kutta 2nd Order Method: Derivation Part 2 of 2 9

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Multiple Choice Question/Solution Ch 08.03 Runge Kutta 2nd Order Method Multiple Choice Question/Solution Ch 08.03 Runge Kutta 2nd Order Method 9

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Quiz

Quiz: 08.03.1: Easy Level: Runge-Kutta 2nd order method Quiz: 08.03.1: Easy Level: Runge-Kutta 2nd order method 3 10

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Quiz

Quiz: 08.03.2: Intermediate Level: Runge-Kutta 2nd order method Quiz: 08.03.2: Intermediate Level: Runge-Kutta 2nd order method 3 11

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Quiz: 08.03.3: Hard Level: Runge-Kutta 2nd order method Quiz: 08.03.3: Hard Level: Runge-Kutta 2nd order method 3 12

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08.05 HIGHER ORDER/COUPLED ORDINARY DIFFERENTIAL EQUATIONS

08.05 HIGHER ORDER/COUPLED ORDINARY DIFFERENTIAL EQUATIONS 08.05 HIGHER ORDER/COUPLED ORDINARY DIFFERENTIAL EQUATIONS

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Chapter 08.05 Higher Order Ordinary Differential Equations Chapter 08.05 Higher Order Ordinary Differential Equations 0

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Chapter 08.05 On Solving Higher Order Equations for Ordinary Differential Equations Chapter 08.05 On Solving Higher Order Equations for Ordinary Differential Equations 1

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Lecture 08.05.01 Higher Order Differential Equations: Background Lecture 08.05.01 Higher Order Differential Equations: Background 2

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Lecture 08.05.02 Coupled Differential Equations: Background: Part 1 of 2 Lecture 08.05.02 Coupled Differential Equations: Background: Part 1 of 2 3

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Lecture 08.05.03 Coupled Differential Equations: Background: Part 2 of 2 Lecture 08.05.03 Coupled Differential Equations: Background: Part 2 of 2 4

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Lecture 08.05.04 Higher Order Differential Equations: Euler's Method: Part 1 of 2 Lecture 08.05.04 Higher Order Differential Equations: Euler's Method: Part 1 of 2 5

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Lecture 08.05.05 Higher Order Differential Equations: Euler's Method: Part 2 of 2 Lecture 08.05.05 Higher Order Differential Equations: Euler's Method: Part 2 of 2 6

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Lecture 08.05.06 Higher Order Differential Equations: Heun's Method: Part 1 of 3 Lecture 08.05.06 Higher Order Differential Equations: Heun's Method: Part 1 of 3 7

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Lecture 08.05.07 Higher Order Differential Equations: Heun's Method: Part 2 of 3 Lecture 08.05.07 Higher Order Differential Equations: Heun's Method: Part 2 of 3 8

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Lecture 08.05.08 Higher Order Differential Equations: Heun's Method: Part 3 of 3 Lecture 08.05.08 Higher Order Differential Equations: Heun's Method: Part 3 of 3 9

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Quiz

Quiz: 08.05.1: Easy Level: Higher Order Ordinary Differential Equations Quiz: 08.05.1: Easy Level: Higher Order Ordinary Differential Equations 3 10

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