(Install Mathematica first)
Chapters: (Click for chapters and sections)
Chapter 0: An Introduction to Mathematica & Calculus
Chapter 1: Basic Equations and Graphs
Chapter 2: Vector Geometry
Chapter 3: Derivatives and Graphs of Explicit Functions
Chapter 4: Implicit Curves, Surfaces, and Contour Plots
Chapter 5: Inverse and Implicit Functions
Chapter 6: Taylor’s Formula in Several Variables
Chapter 7: Max-min in Several Variables
Chapter 8: Multiple Integrals in Cartesian Coordinates
Chapter 9: Parametric Curves
Chapter 10: Motion along Curves: Gas, Brakes, & Tires
Chapter 11: Vector Fields and Velocity Flows in 2D
Chapter 12: Green’s Theorem, 2-D Divergence and Swirl
Chapter 13: Coordinate Systems in 2 Dimensions
Chapter 14: Path Integrals & Vector Fields in 3D
Chapter 15: Parametric Surfaces
Chapter 16: Curvature of Surfaces
Chapter 17: Coordinate Systems in 3 Dimensions
Chapter 18: Differential Forms
Chapter 19: Flow in 3D, Divergence & Curl
Chapter 20: Partial Differential Equations
Chapter 21: Infinite Series
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