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

Bruno Belevan, Parham Hamidi, Nisha Malhotra, Elyse Yeager
Adapted from CLP Calculus by Joel Feldman, Andrew Rechnitzer, and Elyse Yeager

 

CONTENT

 

1 Vectors and Geometry in Two & Three Dimensions

2 Partial Derivatives

3 Integration

4 Probability

5 Sequence and Series

A Proofs and Supplements

B High school material

[Download Textbook PDF]


CONTENT

I. Questions

1 Vectors and Geometry in Two and Three Dimensions; 2 Partial Derivatives; 3 Integration; 4 Probability

II. Hints to Questions

1 Vectors and Geometry in Two and Three Dimensions; 2 Partial Derivatives; 3 Integration; 4 Probability

III. Solutions to Questions

1 Vectors and Geometry in Two and Three Dimensions; 2 Partial Derivatives; 3 Integration; 4 Probability

[Download Practice Book PDF]

Licenses and Attributions

Copyright © 2020 Bruno Belevan, Parham Hamidi, Nisha Malhotra, and Elyse Yeager

This work is licensed under the Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License. You can view a copy of the license at http://creativecommons.org/licenses/by-nc-sa/4.0/.

About

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.

Source

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.

Funded by

The development of this text was supported by an OER Implementation Grant, provided through the UBC Open Educational Resources Fund.

 Contact

To report a mistake, or to let us know you’re using this book in a course you’re teaching, please email elyse@math.ubc.ca

Future Projects

    • Update content for UBC calculus syllabus refresh
    • Publish lecture slides
    • Generate HTML version using PreTeXt

Errata

The current version was updated 24 April 2021 after fixing all known issues. Mistakes will be listed here as they are found.

Acknowledgement

UBC Point Grey campus sits on the traditional, ancestral and unceded territory of the xwm θkw y ́ m (Musqueam). Musqueam and UBC have an ongoing relationship sharing insight, knowledge, and labour. Those interested in learning more about this relationship might start here.

Matt Coles of the University of British Columbia has been an important member of the project to develop quality open resources for Math 105. Thanks to Andrew Rechnitzer at UBC Mathematics for help converting LaTeX to PreTeXt.

Previous Versions April 2021: textbookpractice book