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Numerical Methods: Part 1 of 2 Numerical Methods: Part 1 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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Welcome Survey Welcome Survey 0 3

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Discussion Topic

Help room Help room 4

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01.01 INTRODUCTION TO SCIENTIFIC COMPUTING

01.01 INTRODUCTION TO SCIENTIFIC COMPUTING 01.01 INTRODUCTION TO SCIENTIFIC COMPUTING

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Chapter 01.01 Introduction to Numerical Methods Chapter 01.01 Introduction to Numerical Methods 0

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Textbook: Introduction to Numerical Methods Textbook: Introduction to Numerical Methods 1

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Lecture 01.01.01: On Steps of Solving an Engineering Problem: Part 1 of 2 Lecture 01.01.01: On Steps of Solving an Engineering Problem: Part 1 of 2 2

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Lecture 01.01.02: On Steps of Solving an Engineering Problem: Part 2 of 2 Lecture 01.01.02: On Steps of Solving an Engineering Problem: Part 2 of 2 3

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Lecture 01.01.03. Enumerating Use of Numerical Methods for Mathematical Procedures: Part 1 of 2 Lecture 01.01.03. Enumerating Use of Numerical Methods for Mathematical Procedures: Part 1 of 2 4

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Lecture 01.01.04. Enumerating Use of Numerical Methods for Mathematical Procedures: Part 2 of 2 Lecture 01.01.04. Enumerating Use of Numerical Methods for Mathematical Procedures: Part 2 of 2 5

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Multiple Choice Questions/Solutions: Chapter 01.01: Introduction to Numerical Methods Multiple Choice Questions/Solutions: Chapter 01.01: Introduction to Numerical Methods 6

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Quiz: 01.01.1: Easy Level: Introduction to Scientific Computing Quiz: 01.01.1: Easy Level: Introduction to Scientific Computing 3 8

3.0 min_score quiz 149903 1

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Quiz

Quiz: 01.01.2: Intermediate Level: Introduction to Scientific Computing Quiz: 01.01.2: Intermediate Level: Introduction to Scientific Computing 3 9

3.0 min_score quiz 149902 1

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Quiz

Quiz: 01.01.3: Hard Level: Introduction to Scientific Computing Quiz: 01.01.3: Hard Level: Introduction to Scientific Computing 3 10

2.0 min_score quiz 149904 1

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01.02 MEASURING ERRORS

01.02 MEASURING ERRORS 01.02 MEASURING ERRORS

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Chapter 01.02 Measuring Errors Chapter 01.02 Measuring Errors 0

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Textbook: Measuring Errors Textbook: Measuring Errors 1

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Lecture 01.02.01 True Error: Definition & Example Lecture 01.02.01 True Error: Definition & Example 2

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Lecture 01.02.02. Relative True Error : Definition and Example Lecture 01.02.02. Relative True Error : Definition and Example 3

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Lecture 01.02.03. Approximate Error Definition & Example Lecture 01.02.03. Approximate Error Definition & Example 4

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Lecture 01.02.04. Relative Approximate Error: Definition & Example Lecture 01.02.04. Relative Approximate Error: Definition & Example 5

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Multiple Choice Questions/Solutions: Chapter 01.02 Measuring Error Multiple Choice Questions/Solutions: Chapter 01.02 Measuring Error 6

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Quiz

Quiz: 01.02.1: Easy Level: Measuring Errors Quiz: 01.02.1: Easy Level: Measuring Errors 3 8

3.0 min_score quiz 149916 1

Score at least 3.0 Must score at least 3.0 to complete this module item Scored at least 3.0 Module item has been completed by scoring at least 3.0 View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
Quiz

Quiz: 01.02.2: Intermediate Level: Measuring Errors Quiz: 01.02.2: Intermediate Level: Measuring Errors 3 9

3.0 min_score quiz 149917 1

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Quiz

Quiz: 01.02.3: Hard Level: Measuring Errors Quiz: 01.02.3: Hard Level: Measuring Errors 3 10

2.0 min_score quiz 149918 1

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01.03 SOURCES OF ERROR

01.03 SOURCES OF ERROR 01.03 SOURCES OF ERROR

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Chapter 01.03 Sources of Error Chapter 01.03 Sources of Error 0

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Textbook: Sources of Error Textbook: Sources of Error 1

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Lecture 01.03.01. Round-off Error: Definition and Examples Lecture 01.03.01. Round-off Error: Definition and Examples 2

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Lecture 01.03.02. Effect of Carrying Significant Digits Lecture 01.03.02. Effect of Carrying Significant Digits 3

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Lecture 01.03.03. Truncation Error: Definition Lecture 01.03.03. Truncation Error: Definition 4

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Lecture 01.03.04. Truncation Error: Example: Series Lecture 01.03.04. Truncation Error: Example: Series 5

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Lecture 01.03.05. Truncation Error: Example: Integration Lecture 01.03.05. Truncation Error: Example: Integration 6

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Lecture 01.03.06 Truncation Error: Example: Differentiation Lecture 01.03.06 Truncation Error: Example: Differentiation 7

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Multiple Choice Questions/Solutions: Chapter 01.03 Sources of Error Multiple Choice Questions/Solutions: Chapter 01.03 Sources of Error 8

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Quiz

Quiz: 01.03.1: Easy Level: Sources of Error Quiz: 01.03.1: Easy Level: Sources of Error 3 10

3.0 min_score quiz 152262 1

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Quiz

Quiz: 01.03.2: Intermediate Level: Sources of Error Quiz: 01.03.2: Intermediate Level: Sources of Error 3 11

2.0 min_score quiz 152263 1

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01.04 BINARY REPRESENTATION OF NUMBERS

01.04 BINARY REPRESENTATION OF NUMBERS 01.04 BINARY REPRESENTATION OF NUMBERS

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Chapter 01.04 Binary Representation of Numbers Chapter 01.04 Binary Representation of Numbers 0

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Textbook: Binary Representation of Numbers Textbook: Binary Representation of Numbers 1

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Lecture 01.04.01. Introduction to Binary Representation Lecture 01.04.01. Introduction to Binary Representation 2

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Lecture 01.04.02. Base-10 to Base-2 Conversion Method Lecture 01.04.02. Base-10 to Base-2 Conversion Method 3

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Lecture 01.04.03. Base-10 to Base-2 Conversion Another Method Lecture 01.04.03. Base-10 to Base-2 Conversion Another Method 4

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Multiple Choice Questions/Solutions: Chapter 01.04 Binary Representation of Numbers Multiple Choice Questions/Solutions: Chapter 01.04 Binary Representation of Numbers 6

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Quiz

Quiz: 01.04.1: Easy Level: Binary Representation of Numbers Quiz: 01.04.1: Easy Level: Binary Representation of Numbers 3 7

3.0 min_score quiz 152264 1

Score at least 3.0 Must score at least 3.0 to complete this module item Scored at least 3.0 Module item has been completed by scoring at least 3.0 View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
Quiz

Quiz: 01.04.2: Intermediate Level: Binary Representation of Numbers Quiz: 01.04.2: Intermediate Level: Binary Representation of Numbers 3 8

3.0 min_score quiz 152265 1

Score at least 3.0 Must score at least 3.0 to complete this module item Scored at least 3.0 Module item has been completed by scoring at least 3.0 View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
Quiz

Quiz: 01.04.3: Hard Level: Binary Representation of Numbers Quiz: 01.04.3: Hard Level: Binary Representation of Numbers 3 9

2.0 min_score quiz 152266 1

Score at least 2.0 Must score at least 2.0 to complete this module item Scored at least 2.0 Module item has been completed by scoring at least 2.0 View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete

01.05 FLOATING POINT REPRESENTATION

01.05 FLOATING POINT REPRESENTATION 01.05 FLOATING POINT REPRESENTATION

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Chapter 01.05 Floating Point Representation Chapter 01.05 Floating Point Representation 0

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Textbook: Floating Point Representation Textbook: Floating Point Representation 1

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Lecture 01.05.01. Floating Point Representation Background: Part 1 of 3 Lecture 01.05.01. Floating Point Representation Background: Part 1 of 3 2

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Lecture 01.05.02 Floating Point Representation Background: Part 2 of 3 Lecture 01.05.02 Floating Point Representation Background: Part 2 of 3 3

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Lecture 01.05.03. Floating Point Representation Background: Part 3 of 3 Lecture 01.05.03. Floating Point Representation Background: Part 3 of 3 4

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Lecture 01.05.04. Floating Point Representation: Example: Part 1 of 1 Lecture 01.05.04. Floating Point Representation: Example: Part 1 of 1 5

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Lecture 01.05.05. Floating Point Representation: Example: Part 2 of 2 Lecture 01.05.05. Floating Point Representation: Example: Part 2 of 2 6

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Lecture 01.05.06 Floating Point Representation - Biased Exponent: Example Lecture 01.05.06 Floating Point Representation - Biased Exponent: Example 7

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Lecture 01.05.07 IEEE-754 Single Precision Representation: Part 1 of 2 Lecture 01.05.07 IEEE-754 Single Precision Representation: Part 1 of 2 8

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Lecture 01.05.08 IEEE-754 Single Precision Representation: Part 2 of 2 Lecture 01.05.08 IEEE-754 Single Precision Representation: Part 2 of 2 9

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Multiple Choice Questions/Solutions: Chapter 01.05 Floating Point Representation Multiple Choice Questions/Solutions: Chapter 01.05 Floating Point Representation 10

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Quiz: 01.05.1: Easy Level: Floating Point Representation Quiz: 01.05.1: Easy Level: Floating Point Representation 3 12

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Quiz: 01.05.2: Intermediate Level: Floating Point Representation Quiz: 01.05.2: Intermediate Level: Floating Point Representation 3 13

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Quiz: 01.05.3: Hard Level: Floating Point Representation Quiz: 01.05.3: Hard Level: Floating Point Representation 3 14

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01.07 TAYLOR SERIES REVISITED

01.07 TAYLOR SERIES REVISITED 01.07 TAYLOR SERIES REVISITED

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Chapter 01.07 Taylor Series Revisited Chapter 01.07 Taylor Series Revisited 0

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Textbook: Taylor Series Revisited Textbook: Taylor Series Revisited 1

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Lecture 01.07.01 Introduction to Taylor Series Lecture 01.07.01 Introduction to Taylor Series 2

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Lecture 01.07.02 Taylor Series: Example Lecture 01.07.02 Taylor Series: Example 3

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Lecture 01.07.03 Taylor Series: Deriving the Series for exp(x) Lecture 01.07.03 Taylor Series: Deriving the Series for exp(x) 4

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Lecture 01.07.04 Taylor Series: Example: Finding sin(2.0) Lecture 01.07.04 Taylor Series: Example: Finding sin(2.0) 5

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Multiple Choice Questions/Solutions: Chapter 01.07 Taylor Series Revisited Multiple Choice Questions/Solutions: Chapter 01.07 Taylor Series Revisited 7

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Quiz: 01.07.1: Easy Level: Taylor Series Revisited Quiz: 01.07.1: Easy Level: Taylor Series Revisited 3 8

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Quiz

Quiz: 01.07.2: Intermediate Level: Taylor Series Revisited Quiz: 01.07.2: Intermediate Level: Taylor Series Revisited 3 9

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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 0 2

quiz 149875 1

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02.01 PRIMER ON DIFFERENTIAL CALCULUS

02.01 PRIMER ON DIFFERENTIAL CALCULUS 02.01 PRIMER ON DIFFERENTIAL CALCULUS

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Chapter 02.01 Primer on Differential Calculus Chapter 02.01 Primer on Differential Calculus 0

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Textbook: Primer on Differentiation Textbook: Primer on Differentiation 1

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Multiple Choice Questions/Solutions: Chapter 02.01 Primer on Differential Equations Multiple Choice Questions/Solutions: Chapter 02.01 Primer on Differential Equations 2

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Quiz

Quiz: 02.01.1: Easy Level: Primer on Differential Calculus Quiz: 02.01.1: Easy Level: Primer on Differential Calculus 3 3

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Quiz

Quiz: 02.01.2: Intermediate Level: Primer on Differential Calculus Quiz: 02.01.2: Intermediate Level: Primer on Differential Calculus 3 4

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02.02 DIFFERENTIATION OF CONTINUOUS FUNCTIONS

02.02 DIFFERENTIATION OF CONTINUOUS FUNCTIONS 02.02 DIFFERENTIATION OF CONTINUOUS FUNCTIONS

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Chapter 02.02 Differentiation of Continuous Functions Chapter 02.02 Differentiation of Continuous Functions 0

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Textbook: Differentiation of Continuous Functions Textbook: Differentiation of Continuous Functions 1

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Lecture 02.02.01 Forward Divided Difference: Part 1 of 2 Lecture 02.02.01 Forward Divided Difference: Part 1 of 2 2

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Lecture 02.02.02 Forward Divided Difference: Part 2 of 2 Lecture 02.02.02 Forward Divided Difference: Part 2 of 2 3

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Lecture 02.02.03 Backward Divided Difference: Part 1 of 2 Lecture 02.02.03 Backward Divided Difference: Part 1 of 2 4

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Lecture 02.02.04 Backward Divided Difference: Part 2 of 2 Lecture 02.02.04 Backward Divided Difference: Part 2 of 2 5

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Lecture 02.02.05 Central Divided Difference Lecture 02.02.05 Central Divided Difference 6

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Lecture 02.02.06 Higher Order Derivative Divided Difference: Theory Lecture 02.02.06 Higher Order Derivative Divided Difference: Theory 7

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Lecture 02.02.07 Higher Order Derivative Divided Difference: Example Lecture 02.02.07 Higher Order Derivative Divided Difference: Example 8

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Lecture 02.02.08 Accuracy of Divided Difference Formulas: Part 1 of 2 Lecture 02.02.08 Accuracy of Divided Difference Formulas: Part 1 of 2 9

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Lecture 02.02.09 Accuracy of Divided Difference Formulas Part 2 of 2 Lecture 02.02.09 Accuracy of Divided Difference Formulas Part 2 of 2 10

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Multiple Choice Questions/Solutions: Chapter 02.02 Differentiation of Continious Functions Multiple Choice Questions/Solutions: Chapter 02.02 Differentiation of Continious Functions 11

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Quiz

Quiz: 02.02.1: Easy Level: Differentiation of Continuous Functions Quiz: 02.02.1: Easy Level: Differentiation of Continuous Functions 3 12

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Quiz

Quiz: 02.02.2: Intermediate Level: Differentiation of Continuous Functions Quiz: 02.02.2: Intermediate Level: Differentiation of Continuous Functions 3 13

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Quiz

Quiz: 02.02.3: Hard Level: Differentiation of Continuous Functions Quiz: 02.02.3: Hard Level: Differentiation of Continuous Functions 3 14

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02.03 DIFFERENTIATION OF DISCRETE FUNCTIONS

02.03 DIFFERENTIATION OF DISCRETE FUNCTIONS 02.03 DIFFERENTIATION OF DISCRETE FUNCTIONS

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Chapter 02.03 Differentiation of Discrete Functions Chapter 02.03 Differentiation of Discrete Functions 0

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Textbook: Differentiation of Discrete Functions Textbook: Differentiation of Discrete Functions 1

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Lecture 02.03.01 Divided Difference Approach Lecture 02.03.01 Divided Difference Approach 2

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Lecture 02.03.02 Polynomial Interpolation Method Lecture 02.03.02 Polynomial Interpolation Method 3

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Lecture 02.03.03 Newton's Divided Difference Polynomial Method: Theory Lecture 02.03.03 Newton's Divided Difference Polynomial Method: Theory 4

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Lecture 02.03.04 Newton's Divided Difference Polynomial Method: Example Lecture 02.03.04 Newton's Divided Difference Polynomial Method: Example 5

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Multiple Choice Questions/Solutions: Chapter 02.03 Differentiation of Discrete Functions Multiple Choice Questions/Solutions: Chapter 02.03 Differentiation of Discrete Functions 6

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Quiz

Quiz: 02.03.1: Easy Level: Differentiation of Discrete Functions Quiz: 02.03.1: Easy Level: Differentiation of Discrete Functions 3 7

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Quiz

Quiz: 02.03.2: Intermediate Level: Differentiation of Discrete Functions Quiz: 02.03.2: Intermediate Level: Differentiation of Discrete Functions 3 8

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Quiz

Quiz: 02.03.3: Hard Level: Differentiation of Discrete Functions Quiz: 02.03.3: Hard Level: Differentiation of Discrete Functions 3 9

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03.03. BISECTION METHOD

03.03. BISECTION METHOD 03.03. BISECTION METHOD

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Chapter 03.03 Bisection Method Chapter 03.03 Bisection Method 0

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Textbook: Bisection Method of Solving a Nonlinear Equation Textbook: Bisection Method of Solving a Nonlinear Equation 1

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Lecture 03.03.01 Background of Bisection Method Lecture 03.03.01 Background of Bisection Method 2

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Lecture 03.03.02 Algorithm of Bisection Method Lecture 03.03.02 Algorithm of Bisection Method 3

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Lecture 03.03.03 Example of Bisection Method Lecture 03.03.03 Example of Bisection Method 4

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Lecture 03.03.04 Advantages & Drawbacks of Bisection Method Lecture 03.03.04 Advantages & Drawbacks of Bisection Method 5

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Multiple Choice Questions/Solutions: Chapter 03.03 Bisection Method Multiple Choice Questions/Solutions: Chapter 03.03 Bisection Method 6

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Quiz: 03.03.1: Easy Level: Bisection Method Quiz: 03.03.1: Easy Level: Bisection Method 3 7

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Quiz: 03.03.2: Intermediate Level: Bisection Method Quiz: 03.03.2: Intermediate Level: Bisection Method 3 8

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Quiz: 03.03.3: Hard Level: Bisection Method Quiz: 03.03.3: Hard Level: Bisection Method 3 9

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03.04 NEWTON-RAPHSON METHOD

03.04 NEWTON-RAPHSON METHOD 03.04 NEWTON-RAPHSON METHOD

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Chapter 03.04 Newton Raphson Method Chapter 03.04 Newton Raphson Method 1

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Chapter 03.04 Newton Raphson Method of Solving a Nonlinear Equation Chapter 03.04 Newton Raphson Method of Solving a Nonlinear Equation 2

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Lecture 03.04.01 Derivation of Newton-Raphson Method Lecture 03.04.01 Derivation of Newton-Raphson Method 3

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Lecture 03.04.02 Example for Newton-Raphson Method Lecture 03.04.02 Example for Newton-Raphson Method 4

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Lecture 03.04.03 Advantages & Drawbacks for Newton-Raphson Method: Part 1 of 2 Lecture 03.04.03 Advantages & Drawbacks for Newton-Raphson Method: Part 1 of 2 5

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Lecture 03.04.04 Advantages & Drawbacks for Newton-Raphson Method: Part 2 of 2 Lecture 03.04.04 Advantages & Drawbacks for Newton-Raphson Method: Part 2 of 2 6

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Lecture 03.04.05 Derivation from Taylor Series of Newton-Raphson Method Lecture 03.04.05 Derivation from Taylor Series of Newton-Raphson Method 7

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Lecture 03.04.06 Supercomputers have No Divide Unit - A Newton-Raphson Method Approach Lecture 03.04.06 Supercomputers have No Divide Unit - A Newton-Raphson Method Approach 8

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Lecture 03.04.07 Supercomputers have No Divide Unit - Example Lecture 03.04.07 Supercomputers have No Divide Unit - Example 9

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Leture 03.04.08 Finding Square Root of a Number - A Newton-Raphson Method Approach Leture 03.04.08 Finding Square Root of a Number - A Newton-Raphson Method Approach 10

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Lecture 03.04.09 Finding Square Root of a Number - Example Lecture 03.04.09 Finding Square Root of a Number - Example 11

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Multiple Choice Questions/Solutions: Chapter 03.04 Newton Raphson Method Multiple Choice Questions/Solutions: Chapter 03.04 Newton Raphson Method 12

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Quiz: 03.04.1: Easy Level: Newton-Raphson Method Quiz: 03.04.1: Easy Level: Newton-Raphson Method 3 13

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Quiz: 03.04.2: Intermediate Level: Newton-Raphson Method Quiz: 03.04.2: Intermediate Level: Newton-Raphson Method 3 14

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Quiz: 03.04.3: Hard Level: Newton-Raphson Method Quiz: 03.04.3: Hard Level: Newton-Raphson Method 3 15

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04.01 INTRODUCTION

04.01 INTRODUCTION 04.01 INTRODUCTION

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Chapter 04.01 Introduction Chapter 04.01 Introduction 0

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Textbook: Introduction to Matrix Algebra Textbook: Introduction to Matrix Algebra 1

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Lecture 04.01.01 Diagonal and Identity Matrices Lecture 04.01.01 Diagonal and Identity Matrices 2

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Lecture 04.01.02 What is a Diagonally Dominant Matrix Lecture 04.01.02 What is a Diagonally Dominant Matrix 3

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Lecture 04.01.03 Upper and Lower Triangular Matrices Lecture 04.01.03 Upper and Lower Triangular Matrices 4

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Lecture 04.01.04 Adding Two Matrices Lecture 04.01.04 Adding Two Matrices 5

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Lecture 04.01.05 Subtracting Two Matrices Lecture 04.01.05 Subtracting Two Matrices 6

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Lecture 04.01.06 Multiplying Two Matrices Lecture 04.01.06 Multiplying Two Matrices 7

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Lecture 04.01.07. Inverse of a Matrix Lecture 04.01.07. Inverse of a Matrix 8

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Lecture 04.01.08 Setting up Equations in a Matrix Form Lecture 04.01.08 Setting up Equations in a Matrix Form 9

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Multiple Choice Questions/Solutions: Chapter 04.01 Introduction Multiple Choice Questions/Solutions: Chapter 04.01 Introduction 10

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Quiz: 04.01.1: Easy Level: Introduction Quiz: 04.01.1: Easy Level: Introduction 3 11

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Quiz: 04.01.2 Intermediate Level: Introduction Quiz: 04.01.2 Intermediate Level: Introduction 3 12

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Quiz: 04.01.3: Hard Level: Introduction Quiz: 04.01.3: Hard Level: Introduction 3 13

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04.06 GAUSSIAN ELIMINATION METHOD

04.06 GAUSSIAN ELIMINATION METHOD 04.06 GAUSSIAN ELIMINATION METHOD

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Chapter 04.06 Gaussian Elimination Method Chapter 04.06 Gaussian Elimination Method 0

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Textbook: Gaussian Elimination Textbook: Gaussian Elimination 1

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Lecture 04.06.01 Naive Gaussian Elimination: Theory: Part 1 of 2 Lecture 04.06.01 Naive Gaussian Elimination: Theory: Part 1 of 2 2

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Lecture 04.06.02 Naive Gaussian elimination: Theory: Part 2 of 2 Lecture 04.06.02 Naive Gaussian elimination: Theory: Part 2 of 2 3

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Lecture 04.06.03 Naive Gauss Elimination Method: Example: Part 1 of 2 Lecture 04.06.03 Naive Gauss Elimination Method: Example: Part 1 of 2 4

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Lecture 04.06.04 Naive Gauss Elimination Method: Example: Part 2 of 2 (Back Substitution) Lecture 04.06.04 Naive Gauss Elimination Method: Example: Part 2 of 2 (Back Substitution) 5

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Lecture 04.06.05 Pitfalls of Naive Gauss Elimination Method: Lecture 04.06.05 Pitfalls of Naive Gauss Elimination Method: 6

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Lecture 04.06.06 Naive Gauss Elimination: Round-off Error Issues: Example: Part 1 of 3 Lecture 04.06.06 Naive Gauss Elimination: Round-off Error Issues: Example: Part 1 of 3 7

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Lecture 04.06.07 Naive Gauss Elimination: Round-off Error Issues: Example: Part 2 of 3 Lecture 04.06.07 Naive Gauss Elimination: Round-off Error Issues: Example: Part 2 of 3 8

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Lecture 04.06.08 Naive Gauss Elimination: Round-off Error Issues: Example: Part 3 of 3 Lecture 04.06.08 Naive Gauss Elimination: Round-off Error Issues: Example: Part 3 of 3 9

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Lecture 04.06.09 Gaussian Elimination With Partial Pivoting: Theory Lecture 04.06.09 Gaussian Elimination With Partial Pivoting: Theory 10

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Lecture 04.06.10 Gaussian Elimination With Partial Pivoting: Example: Part 1 of 3 Lecture 04.06.10 Gaussian Elimination With Partial Pivoting: Example: Part 1 of 3 11

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Lecture 04.06.11 Gaussian Elimination With Partial Pivoting: Example: Part 2 of 3 (Forward Elimination) Lecture 04.06.11 Gaussian Elimination With Partial Pivoting: Example: Part 2 of 3 (Forward Elimination) 12

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Lecture 04.06.12 Gaussian Elimination With Partial Pivoting: Example: Part 3 of 3 (Back Substitution) Lecture 04.06.12 Gaussian Elimination With Partial Pivoting: Example: Part 3 of 3 (Back Substitution) 13

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Lecture 04.06.13 Gaussian Elimination With Partial Pivoting: Round-off Error Issues: Example: Part 1 of 3 Lecture 04.06.13 Gaussian Elimination With Partial Pivoting: Round-off Error Issues: Example: Part 1 of 3 14

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Lecture 04.06.14 Gaussian Elimination With Partial Pivoting: Round-off Error Issues: Example: Part 2 of 3 Lecture 04.06.14 Gaussian Elimination With Partial Pivoting: Round-off Error Issues: Example: Part 2 of 3 15

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Lecture 04.06.15 Gaussian Elimination With Partial Pivoting: Round-off Error Issues: Example: Part 3 of 3 Lecture 04.06.15 Gaussian Elimination With Partial Pivoting: Round-off Error Issues: Example: Part 3 of 3 16

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Lecture 04.06.16 Determinant of a Matrix Using Forward Elimination Method: Background Lecture 04.06.16 Determinant of a Matrix Using Forward Elimination Method: Background 17

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Lecture 04.06.17 Determinant of a Matrix Using Forward Elimination Method: Example Lecture 04.06.17 Determinant of a Matrix Using Forward Elimination Method: Example 18

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Multiple Choice Questions/Solutions: Chapter 04.06 Gaussian Elimination Method Multiple Choice Questions/Solutions: Chapter 04.06 Gaussian Elimination Method 19

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Quiz

Quiz: 04.06.1: Easy Level: Gaussian Elimination Method Quiz: 04.06.1: Easy Level: Gaussian Elimination Method 3 20

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Quiz

Quiz: 04.06.2: Intermediate Level: Gaussian Elimination Method Quiz: 04.06.2: Intermediate Level: Gaussian Elimination Method 3 21

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Quiz: 04.06.3: Hard Level: Gaussian Elimination Method Quiz: 04.06.3: Hard Level: Gaussian Elimination Method 3 22

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04.07 LU DECOMPOSITION METHOD

04.07 LU DECOMPOSITION METHOD 04.07 LU DECOMPOSITION METHOD

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Chapter 04.07 LU Decomposition Method Chapter 04.07 LU Decomposition Method 0

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Textbook: LU Decomposition Textbook: LU Decomposition 1

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Lecture 04.07.01 LU Decomposition: Basis Lecture 04.07.01 LU Decomposition: Basis 2

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Lecture 04.07.02 LU Decomposition Method: Example Lecture 04.07.02 LU Decomposition Method: Example 3

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Lecture 04.07.03 Why LU Decomposition: Part 1 of 2 Lecture 04.07.03 Why LU Decomposition: Part 1 of 2 4

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Lecture 04.07.04 Why LU Decomposition: Part 2 of 2 Lecture 04.07.04 Why LU Decomposition: Part 2 of 2 5

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Lecture 04.07.05 Decomposing a Square Matrix: Part 1 of 2 Lecture 04.07.05 Decomposing a Square Matrix: Part 1 of 2 6

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Lecture 04.07.06 Decomposing a Square Matrix: Part 2 of 2 Lecture 04.07.06 Decomposing a Square Matrix: Part 2 of 2 7

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Lecture 04.07.07 Finding Inverse of a Matrix Using LU Decomposition: Background Lecture 04.07.07 Finding Inverse of a Matrix Using LU Decomposition: Background 8

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Lecture 04.07.08 Finding Inverse of a Matrix Using LU Decomposition: Example Lecture 04.07.08 Finding Inverse of a Matrix Using LU Decomposition: Example 9

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Multiple Choice Questions/Solutions: Chapter 04.07 LU Decomposition Multiple Choice Questions/Solutions: Chapter 04.07 LU Decomposition 10

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Quiz

Quiz: 04.07.1: Easy Level: LU Decomposition Method Quiz: 04.07.1: Easy Level: LU Decomposition Method 3 11

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Quiz: 04.07.2: Intermediate Level: LU Decomposition Method Quiz: 04.07.2: Intermediate Level: LU Decomposition Method 3 12

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Quiz: 04.07.3: Hard Level: LU Decomposition Method Quiz: 04.07.3: Hard Level: LU Decomposition Method 3 13

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