MATH2001 - Calculus & Linear algebra II

Author:: Juan Carlos Ponce Campuzano

Topic:: Vectors 2D (Two-Dimensional), Vectors 3D (Three-Dimensional), Algebra, Calculus, Solids or 3D Shapes

This book contains learning resources (activities and visualizations) for the course Calculus & Linear algebra II from the UQ workbook. Online slides: https://www.dynamicmath.xyz/math2001/ Note: Some applets are made with other open-source lybraries, such as p5js, MathBox and Threejs. Enjoy!

Chapter 1
- Chapter-01: Example 1.1
- Chapter-01: Example 1.2
- Chapter-01: Example 1.3
- Chapter-01: Example 1.6
- Chapter-01: Example 1.7
Chapter 3
- Chapter-03: Example 3-3
Chapter 7
- Chapter-07: Change of basis
Chapter 11
- Chapter-11: Examples orthonormal basis
- Chapter-11: Gram-Schmidt process
Chapter 12
- Chapter-12-1: Theorem
- Chapter-12-2: Fitting line
- Chapter-12-2: Least squares error
- Chapter-12-2: Column space A
- Chapter-12-2: Column space A image
- Chapter-12-5: Fitting curve to data
- Chapter-12-5: Quadratic fit
Chapter 13
- Chapter-13-1: sinx fit curve
- Chapter-13: Fitting curve to data (Cat)
Chapter 15
- Chapter-15: Geometry of eigenvalues & eigenvectors
Chapter 19
- Diagonalization: Quadratic forms
Chapter 23
- Chapter-23: Riemann Integral
- Chapter 23-1: Surface
- Chapter 23-1: Surface & prisms
- Chapter-23-3-2: Example
Chapter 24
- Fubini's theorem: Rectangular regions
- Chapter-24-2: Example
- Chapter-24-5: Vertical slabs
- Chapter-24-5: Horizontal slabs
- Chapter-24-6: Example
Chapter 25
- Chapter 25-1-1: Example
- Chapter-25-2-1: Example testing
- Chapter-25-2-1: Example
Chapter 26
- Chapter-26-1: Find volume
- Chapter-26-2: Example
- Chapter-26: how can we find the volume of any solid?
Chatper 28
- Chapter-28: Polar plane
- Polar transformation
- Chapter-28-1: Example
- Chapter-28-2: Example
- Chapter-28-3: Example
Chapter 30
- Chapter-30-2: Example
- Chapter-30-3: Example
Chapter 31
- Chapter-31: Cylindrical coordinates
- Chapter-31: Cylindrical region
- Chapter-31-2: Example
Chapter 32
- Chapter-32: Spherical coordinates
- Chapter-32: Spherical region
- Chapter-32-1: Simple example
- Chapter-32-3: Ice cream
Chapter 33
- Chapter-33-1: Moment and Moment of inertia
- Chapter-33-1: Moment of inertia image
- Chapter-33-2: Hemisphere
Chapter 34
- Vector Fields in 2D
- 2D Velocity fields
- Vector fields 3D
- 3D Velocity field
Chapter 35
- Chapter-35-1: Integral
- Chapter-35-4-1: Example
- Line integrals of vector fields: Work & Circulation
Chapter 38
- Vortex Shedding
- Flow around circle
- 3D constant flow
- Chapter-38: The net with angle
- Chapter-38-1-1: normal vectors
- Line integrals of vector fields: Flux
Chapter 39
- Chapter 39: Exercise 3.2
Chapter 40
- Surface plotter
Chapter 41
- Chapter-41: Smooth surface
Chapter 42
- Chapter-42-2: Transformation (u^2-v^2, 2uv)
- Chapter-42-4: Example
- Transformations from R² to R²
Chapter 43
- Chater-43-1: Normal unit vector on orientable surface
- Chapter-43-1: Non orientable surface - Mobius strip
- Chapter-43-1: Non orientable surface - Klein bottle
- Chapter-43-2: Flux surface
- Chapter-43-2: Flux approximation
- Chapter-43-2-1: Net outward flux
- Surface integral of a vector field over a surface
Chapter 45
- Curl animation
- Chapter-45: Curl detector
Chapter 46
- Chapter-46-2-1: Relation to Green's theorem
- Chapter-46: Stokes' theorem example

Chapter-01: Example 1.1

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Open Middle: Graphing Linear Inequalities (3)
Inequalities on Number line
Unit Vector
Which Area is Larger?
Arc Length and Sector Area

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Motion in a Straight Line
Yanisa Poongthaisong B3 Qtr1Project
PRACTICE CIRCUMCENTER
בניית גובה למשולשים משימה 1לפעילות1
logistisch groeimodel met veld

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Linear Equations
Median Value
Differential Equation
Pie Chart or Circle Chart
Diagrams

MATH2001 - Calculus & Linear algebra II

Table of Contents

New Resources

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