Math

Find curated exercises on math. Starting with the basics, differentiation and integration up to vector calculus and linear algebra.


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Pre-algebra
Calculus
Linear Algebra

Basic math exercises have been created by OpenStax. The more advanced topics (Calculus) have been created by Delft University of Technology and are adapted by Grasple. Most materials are CC licensed and the rest will be released with a CC license in the coming months. Feel free to reuse, remix and redistribute these exercises as long as you make a proper attribution.

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  •   Indicates whether a lesson/explanation is available per subject
  • 10  Indicates if and how many exercises are currently available per subject
  •   Content has an open Creative Commons license
  • cc  Content will be released with an open Creative Commons license in the near future

Basis

Functions and graphs

Characteristics of functions

Types of math functions and their characteristics

Trigonometric functions and their characteristics

Limits

Application of limits

Derivatives

Application of derivatives

Vectors

Inverse Functions

Implicit Differentiation

Linear Approximations and Differentials

L'Hopital's Rule

The Substitution Rule

Integrals

Differential Equations

Complex Numbers

Calculus II

  • 0 cc Multivariate functions and first order partial derivatives
  • 0 cc Tangent planes and higher order partial derivatives
  • 0 cc Directional derivative and the gradient
  • 0 cc Critical points
  • 0 cc Extremes on a closed domain
  • 0 cc Double integrals over rectangles
  • 0 cc Double integrals over general regions
  • 0 cc Polar coordinates
  • 0 cc Triple integrals
  • 0 cc Cylindrical coordinates
  • 0 cc Spherical coordinates

Systems of Linear Equations

  • 2 cc Unique Solutions
  • 10 cc Echelon Form
  • 8 cc Matrix Equations

Matrix Algebra

  • 6 cc Vector Algebra
  • 10 cc Vector Product
  • 11 cc Matrix Operations
  • 2 cc Matrix similarities
  • 6 cc Linear Independent Sets

Vector spaces

  • 4 cc Vector Coordinates
  • 0 cc Span
  • 4 cc Subspaces
  • 8 cc General solutions for systems of Linear Equations

Inverse Matrices

  • 4 cc Properties of Inverse Matrices
  • 6 cc Inverse a 2x2 Matrix
  • 5 cc Determine Inverse of a Matrix

Determinants

  • 11 cc Determinant of a 2x2 Matrix
  • 14 cc Determinant of a Matrix
  • 12 cc Properties of Determinants

Eigenvectors

  • 6 cc Properties of Eigenvectors
  • 4 cc Definition of Eigenvectors
  • 8 cc Characteristic polynomial

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