Doing Math with Python

Course Curriculum

Chapter 1: Introduction

Lecture 1: Opening and Introduction

Chapter 2: Chapter 1: Working with Numbers

Lecture 1: 01-01 Basic Mathematical Operations

Lecture 2: 01-02 Labels: Attaching Names to Numbers, 01-03 Differnt Kind s of Numbers

Lecture 3: 01-04 Getting User Input

Lecture 4: 01-05 Writing Programs that Do the Math (Part 1)

Lecture 5: 01-05 Writing Programs that Do the Math (Part 2) – Multiplication Table

Lecture 6: 01-05 Writing Programs that Do the Math (Part 3) – Measurement Unit Converter

Lecture 7: 01-05 Writing Programs that Do the Math (Part 4) – One Math Calculator

Lecture 8: Challenges #1: Even-Odd Vending Machine

Lecture 9: Challenges #2: Enhanced Multiplication Table Generator

Lecture 10: Challenges #3: Enhanced Unit Converter

Lecture 11: Challenges #4: Fraction Calculator

Lecture 12: Challenges #5: Give Exit Power to the User

Chapter 3: Chapter 2: Visualizing Data with Graphs

Lecture 1: 02-01 Understanding the Cartesian Coordinate Plane

Lecture 2: 02-02 Working with Lists and Tuples

Lecture 3: 02-03 Creating Graphs with Matplotlib (& pylab)

Lecture 4: 02-04 Plotting with Formulas (Part 1) – Newtons Las of Universal Gravitation

Lecture 5: 02-04 Plotting with Formulas (Part 2) – Projectile Motion

Lecture 6: 02-05 Programming Challenges #1: Vary Temperature in a Day

Lecture 7: 02-05 Programming Challenges #2: Visualize Quadratic Function

Lecture 8: 02-05 Programming Challenges #3: Enhanced Projectile Trajectory Comaprison Prog.

Lecture 9: 02-05 Programming Challenges #4: Visualizing Your Expenses

Lecture 10: 02-05 Programming Challenges #5: Relationship between Fib. Seq. & Golden Ratio

Chapter 4: Chapter 3: Describing Data with Statistics

Lecture 1: 03-01 Find the Mean

Lecture 2: 03-02 Find the Median

Lecture 3: 03-03 Finding the Mode and Creating a Frequency Table

Lecture 4: 03-04 Measuring the Dispersion

Lecture 5: 03-05 Calculate the Correlation (Part 1)

Lecture 6: 03-05 Calculate the Correlation (Part 2)

Lecture 7: 03-06 Scatter Plots

Lecture 8: 03-07 Reading Data from Files (Part 1): Text File

Lecture 9: 03-07 Reading Data from Files (Part 2): CSV File

Lecture 10: 03-08 Programming Challenges #1: Better Correlation Coefficient-Finding Program

Lecture 11: 03-08 Programming Challenges #2: Statistics Calculator

Lecture 12: 03-08 Programming Challenges #3: Experiment with Other CSV Data

Lecture 13: 03-08 Programming Challenges #4: Finding the Percentile (1)

Lecture 14: 03-08 Programming Challenges #4: Finding the Percentile (2)

Lecture 15: 03-08 Programming Challenges #5: Generate a Grouped Frequency Table

Chapter 5: Chapter 4: Algebra and Symbolic Math with Sympy

Lecture 1: 04-00 Installing and Configuring SymPy

Lecture 2: 04-01 Defining Symbols and Symbolic Operations

Lecture 3: 04-02 Working with Expressions

Lecture 4: 04-03 Solving Equations

Lecture 5: 04-04 Plotting Using SymPy

Lecture 6: 04-05 Programming Challenges #1: Factor Finder

Lecture 7: 04-05 Programming Challenges #2: Graphical Equation Solver

Lecture 8: 04-05 Programming Challenges #3: Summing a Series

Lecture 9: 04-05 Programming Challenges #4: Solving Single-Variable Inequalities

Chapter 6: Chapter 5: Playing with Sets and Probability

Lecture 1: 05-01 What is a Set? (1) – Concepts, Set Construction

Lecture 2: 05-01 What is a Set? (2) – Sets Relationships

Lecture 3: 05-01 What is a Set? (3) – Set Operations

Lecture 4: 05-02 Probability (0) Concept (1) Or (2) And

Lecture 5: 05-02 Probability (3) Generating Random Numbers

Lecture 6: 05-02 Probability (4) Non-Uniform Random Numbers

Lecture 7: 05-03 Programming Challenges #1: Using Venn Diagrams to Visual Relation of Sets

Lecture 8: 05-03 Programming Challenges #2: Law of Large Numbers

Lecture 9: 05-03 Programming Challenges #3: How Many Tosses Before You Run Out of Memory?

Lecture 10: 05-03 Programming Challenges #4: Shuffling a Deck of Cards

Lecture 11: 05-03 Programming Challenges #5: Estimating the Area of a Circle

Chapter 7: Chapter 6: Drawing Geometric Shapes and Fractals

Lecture 1: 06-01 Drawing Geometrics Shapes with Matplotlib's Patches #1: Drawing a Circle

Lecture 2: 06-01 Drawing Geometrics Shapes with Matplotlib's Patches #2 Create Animate Fig.

Lecture 3: 06-01 Drawing Geometrics Shapes with Matplotlib's Patches #3 Anim. Proj. Trajec.

Lecture 4: 06-02 Drawing Fractals #1: Transformations of Points in a Plane

Lecture 5: 06-02 Drawing Fractals #2 Drawing the Barnsley Fern

Lecture 6: 06-03 Programming Challenges #1 Packing Circles into a Square

Lecture 7: 06-03 Programming Challenges #2 Draw Sierpinski Triangle

Lecture 8: 06-03 Programming Challenges #3 Explore Henon's Function

Lecture 9: 06-03 Programming Challenges #4 Drawing Mandelbrot Set (part 1 & 2)

Lecture 10: 06-03 Programming Challenges #4 Drawing Mandelbrot Set (Part 3)

Chapter 8: Chapter 7: Solving Claculus Problems

Lecture 1: 07-01 What is a Function

Lecture 2: 07-02 Assumption in SymPy, 07-03 Finding the Limit of Functions

Lecture 3: 07-04 Finding the Derivative of Functions

Lecture 4: 07-05 Higher-Order Derivatives and Finding the Maxima and Minima

Lecture 5: 07-06 Finding the Global Maximum using Gradient Ascent #0 and #1

Lecture 6: 07-06 Finding the Global Maximum using Gradient Ascent #2 and #3

Lecture 7: 07-07 Finding the Integrals of Functions, 07-08 Probability Density Functions

Lecture 8: 07-09 Programming Challenges #1: Verify the Continuity of a Function at a Point

Lecture 9: 07-09 Programming Challenges #2: Implement the Gradient Descent

Lecture 10: 07-09 Programming Challenges #3: Area Between Two Curves

Lecture 11: 07-09 Programming Challenges #4: Finding the Length of a Curve

Chapter 9: Summary

Lecture 1: Summary and Closing