Embark on a comprehensive 12-hour journey through college Precalculus, guided by an experienced university mathematics professor. Master fundamental concepts while simultaneously learning to implement them using Python programming. Explore topics ranging from trigonometry basics and matrix operations to complex numbers and probability. Engage with hands-on exercises, including building a clock with trigonometry and graphing the Mandelbrot set. Benefit from practical applications like encoding and decoding messages, and delve into the mathematics of gambling. Access accompanying Python code via Google Colab for interactive learning. Conclude with a thorough organization of your Colab notebook and additional useful formulas, preparing you for advanced mathematical studies and real-world applications.
Overview
Syllabus
⌨️ Introduction
⌨️ Get Data
⌨️ Draw Lines
⌨️ Trigonometry basics
⌨️ Solve Right Triangles
⌨️ Degrees and radians
⌨️ Unit Circle
⌨️ Trigonometry and Graphing
⌨️ The Six Trig Graphs
⌨️ Transforming Trig Graphs
⌨️ Periodic Data and Prediction
⌨️ Build a Clock with Trigonometry
⌨️ Law of Sines
⌨️ Law of Cosines
⌨️ Area of any Triangle
⌨️ Solve Any Triangle
⌨️ Triangle from Any Three Points
⌨️ Certification 4 Walkthrough
⌨️ Matrix Addition and Subtraction
⌨️ Matrix Multiplication
⌨️ Inverse of a Matrix
⌨️ Use a Matrix to Solve a System
⌨️ Use a Matrix to Develop an Equation
⌨️ Encoding and Decoding Messages
⌨️ Inverse Matrix to Solve a System
⌨️ Complex Numbers
⌨️ Graphing the Mandelbrot Set
⌨️ Sum of a Series
⌨️ The Number e as a Series
⌨️ How e relates to Sine and Cosine
⌨️ The Beautiful Math Formula
⌨️ Probability
⌨️ Pascal and the Triangle
⌨️ More Probability Applications
⌨️ The Math of Gambling
⌨️ Certification 5 Walkthrough
⌨️ Organize Your Colab Notebook
⌨️ A Few More Useful Formulas
⌨️ Simplify Trig Expressions
⌨️ Conclusion
Taught by
freeCodeCamp.org
