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EML3041: Computational Methods: Spring 2016 |
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Home | Syllabus | Textbooks | Calendar | Class Lectures | Chapters | Mobile Instructor | Canvas | Blog | Sample Projects | Open Labs | Piazza |
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COMPLEMENTARY RESOURCES FOR EML3041 AT USF
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1: Introduction, Approximation and Errors |
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Chapter 01.01 Introduction to Scientific Computing [MORE] Chapter 01.02 Measuring Errors [MORE] Chapter 01.03 Sources of Error [MORE] Chapter 01.04 Binary Representation of Numbers [MORE] Chapter 01.05 Floating Point Representation [MORE] Chapter 01.07 Taylor Series Revisited [MORE]
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2: Differentiation |
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Chapter 02.01 Primer on Differential Calculus (optional) [MORE] Chapter 02.02 Differentiation of Continuous Functions [MORE] Chapter 02.03 Differentiation of Discrete Functions [MORE]
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3: Nonlinear Equations |
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Chapter 03.01 Solving Quadratic Equations Exactly [MORE] Chapter 03.03 Bisection Method [MORE] Chapter 03.04 Newton-Raphson Method [MORE]
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4: Simultaneous Linear Equations |
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Chapter 04.01 Introduction to Matrix Algebra [MORE] Chapter 04.06 Gaussian Elimination Method [MORE] Chapter 04.07 LU Decomposition Method [MORE]
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5: Interpolation |
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Chapter 05.02 Direct Method [MORE] Chapter 05.05 Spline Method [MORE] Chapter 05.06 The lurking dangers of extrapolation! [MORE] Chapter 05.07 Why is higher order interpolation is a bad idea? [MORE] Chapter 05.08 Why do we need spline interpolation [MORE] Chapter 05.10 How splines can help in developing a shorter path for a robot! [MORE]
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6: Regression |
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Chapter 06.01 Primer on statistical terminology (optional) [PDF] Chapter 06.02 Introduction to Regression [MORE] Chapter 06.03 Linear Regression [MORE] Chapter 06.04 Nonlinear Regression [MORE] Chapter 06.05 Adequacy of Regression Models [MORE]
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7: Integration |
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Chapter 07.01 Primer on Integral Calculus (optional) [MORE]
Chapter 07.02 Trapezoidal Rule
[MORE]
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8: Ordinary Differential Equations |
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Chapter 08.01 Primer on Ordinary Differential Equations (optional) [MORE] Chapter 08.02 Euler's Method [MORE] Chapter 08.03 Runge-Kutta 2nd order method [MORE] Chapter 08.05 On Solving Higher Order & Coupled Ordinary Differential Eqns [MORE] Chapter 08.07 Finite Difference Method [MORE] |
