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Introduction

Introduction About This Course

Python Refresher

Data Types and Variables Operators Conditional Statements Loops Functions Lambdas Lists Tuples and Dictionaries Using Python Packages Quiz 1!Exercise: Check Sum Solution Review: Check Sum

Arrays

Introduction Vectors Multidimensional Arrays Quiz 2!Indexing Arrays Array Operations Data Processing Smart Array Programming Quiz 3!Exercise: Accessing 2-Dimensional Arrays Solution Review: Accessing 2-Dimensional Arrays Exercise: Using Conditions on Arrays Solution Review: Using Conditions on Arrays

Plotting

Basic Plotting Important Note!Plotting Multiple Curves Setting Up the Axes Gallery of Graphs 3-D Plots Quiz 4!Exercise: Plotting Temperatures Solution Review: Plotting Temperatures Exercise: Plotting Torus Solution Review: Plotting Torus

Systems of Linear Equations

Building and Solving Linear Equations

Eigenvalues and Eigenvectors

Matrix Operations

Sparse Matrices

Exercise: Fitting a Wave

Solution Review: Fitting a Wave

Symbolic Computation

Introduction Symbols and Complex Numbers Numerical Evaluation Algebraic Manipulation Quiz 6!Differentiation Integration Limits Quiz 7!Series Expansion Solving Equations Ordinary Differential Equations Quiz 8!Exercise: Integrating Complex Functions Solution Review: Integrating Complex Functions Exercise: Solve a Differential Equation Solution Review: Solve a Differential Equation

Scientific Algorithms

Introduction Numerical Integration Interpolation Quiz 9!Polynomial Fitting Curve Fitting Optimization Fourier Transforms Quiz 10!Exercise: Triple Integral Over a Bounded Region Solution Review: Triple Integral Over a Bounded Region Exercise: Parameters of an FID Signal Solution Review: Parameters of an FID Signal

Random Variables

Random Numbers Flipping Coins Bernoulli Variable Normal Continuous Random Variables Histograms and Probability Density Function Percentiles Quiz 11!Exercise: Predicting Election Results Solution Review: Predicting Election Results

Applications

Introduction Preview: Setting Up an Optical System Exercise: Setting Up an Optical System Solution Review: Setting Up an Optical System Preview: Transfer Functions Exercise: Transfer Functions Solution Review: Transfer Functions Preview: Harmonographs Exercise: Harmonographs Solution Review: Harmonographs

Conclusion

Last Thoughts Where to Go from Here

Appendix

Files I/O LaTeX Formatting

Course Assessment

Python for Scientists and Engineers Exam

Python for Scientists and Engineers

Solution Review: Fitting a Wave

This lesson discusses the solution to the fitting a wave problem.

We'll cover the following...

Solution
- Explanation

Solution

Inserting the data below:

(t_0, y_0)=(0.25, 3)