Optimal, Integral, Likely

Optimization, Integral Calculus, and Probability for Students of Commerce and the Social Sciences

Prepared by Bruno Belevan, Parham Hamidi, Nisha Malhotra, and Elyse Yeager
Adapted from CLP Calculus by Joel Feldman, Andrew Rechnitzer, and Elyse Yeager
Optimal, Integral, Likely Textbook cover

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Optimal, Integral, Likely Practice Book cover

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Optimal, Integral, Likely is a free, open-source textbook intended for UBC's course MATH 105: Integral Calculus with Applications to Commerce and Social Sciences. It is shared under the Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.


The source files can be found on GitLab: https://gitlab.math.ubc.ca/ecyeager/OIL.

Most content is remixed from CLP-1 and CLP-2 by Feldman, Rechnitzer, and Yeager. New content includes applications, primarily to economics, written by Belevan, Hamidi, Malhotra, and Yeager. The chapter on probability was prepared by Belevan, Hamidi, Malhotra, and Yeager and incorporates some content from Introductory Statistics by Ilowski and Dean. More detailed information can be found in the text.


To report errors or for additional information, please contact Elyse Yeager at elyse@math.ubc.ca.

Future Projects


Added here as they are discovered for the current version

Textbook (typeset 10 June 2023)
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Practice book (typeset 10 June 2023)
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Previous Versions

October/December 2021: textbook, practice book

April 2021: textbook, practice book