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.
Added here as they are discovered for the current version
| Textbook (typeset 10 June 2023) | ||
|---|---|---|
| Page | Description | Date |
| p. 34-35, example 2.1.8 | Inconsistencies with the case x=y | 14 Dec 2023 |
| p. 257, pf fp cpr 4.3.3 | Pr(x>a)=1-F(a), not F(a) | 21 March 2024 |
| Practice book (typeset 10 June 2023) | ||
|---|---|---|
| Page | Description | Date |
| p. 296: section 2.2 problem 5(c) | the solution successively computes $$f_u$$, $$f_{uv}$$, $$f_{uvw}$$, but presents the situation as if the derivatives being computed at $$f_u$$, $$f_{vu}$$ and $$f_{wvu}$$. | 3 Dec 2023 |
| Section 3.7, Q 12 | It looks like the solution trails off here. "two options present themselves" and then only substitution (the other was suppose to be trig sub probably). | Feb 1 2024 |
| 4.4 Q 18 | missing coefficient in SR; (b-a)/n, not (b-a)/2 | 19 march 2024 |
| 4.5.3 p 279 | Check sign above red equation | 9 March 2024 |
October/December 2021: textbook, practice book
April 2021: textbook, practice book
