Illustrative Mathematical Concepts

By Hae Ji Kwon1, Mike Jovanovich1, David R. Ely1

1. Ivy Tech Community College

Illustrates mathematical concepts and their applications

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Version 1.1.2 - published on 20 Sep 2023

doi:10.21981/7S1K-Q181 cite this

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The objective of this tool is to summarize and illustrate the common mathematical concepts from Calculus to Linear Algebra in Python 3 Jupyter Notebook.

The tool includes practical applications and example problems for students to practice the concepts they have acquired through the interactive modules.



  • Derivatives
  • Single Integrals
  • Series


  • Probability Density
  • Uniform Random Distribution
  • Gaussian Distribution

In Development

  • Series (Update date: TBA)
  • Taylor Series (Release date: TBA)
  • Multiple Integrals (Release date: TBA)
  • Partial Derivatives (Release date: TBA)
  • Vectors and Gradient (Release date: TBA)
  • Divergence (Release date: TBA)
  • Curl (Release date: TBA)
  • Eigenvectors and Eigenvalues (Release date: TBA)


Stewart, J. (2016) Calculus. 8th ed. Boston: Cengage Learning

Thomas, G. B., Weir, M. D., Hass, J. R. (2010) Thomas' Calculus: Early Transcendentals. 12th ed. Boston: Pearson

Yougn, H. D., Freedman, R. A., Ford, A. L. (2016) University Physics with Modern Physics. 14th ed. Pearson

Beer, F. P., Johnston, E. R. Jr., Mazurek, D. F., Cornwell, P. J., Self, B. P. (2016) Vector Mechanics for Engineers: Statics and Dynamics. 11th ed. New York: McGraw-Hill Education

Cite this work

Researchers should cite this work as follows:

  • Hae Ji Kwon, Mike Jovanovich, David R. Ely (2023), "Illustrative Mathematical Concepts," (DOI: 10.21981/7S1K-Q181).

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