A Guide to Integration by MacLean & Rechnitzer
Guide to Integration (Presentation) - Table of Contents
- 1. Elementary Integrals
- 2. Substitution
- 3. Trigonometric integrals
- 4. Integration by parts
- 5. Trigonometric substitutions
- 6. Partial Fractions
- 7. 100 Integrals to do
What You Will Learn in Guide to Integration (Presentation)
A Guide to Integration by Mark MacLean is a practical, student-friendly resource designed to help undergraduate students navigate the foundational procedures of integral calculus. Moving systematically from basic substitution to advanced integration methodologies, this guide simplifies complex problem-solving frameworks, making it an excellent tool for calculus integration strategy practice.
The material emphasizes strategic decision-making when selecting integration methods, covering trigonometric substitution, partial fractions, and integration by parts. By combining structured worked solutions with carefully scaffolded practice sets, MacLean equips learners to approach step-by-step definite integration problems with absolute analytical accuracy and confidence.
Widely commended by university educators for its intuitive approach, this supplementary guide serves as an outstanding reference for course revision and independent study. MacLean’s clear pedagogical structure empowers students to build lasting mathematical reasoning and master essential single variable calculus techniques across STEM degree programs.
Book Details & Specifications
Title:
A Guide to Integration by MacLean & Rechnitzer
Publisher:
University of British Columbia
Year:
2007
Pages:
96
Type:
PDF
Language:
English
ISBN-10 #:
0133058360
ISBN-13 #:
978-0133058369
License:
University Educational Resource
Amazon:
Amazon
About the Author: Mark MacLean Andrew Rechnitzer
The author Mark MacLean Andrew Rechnitzer
is a distinguished Professor of Teaching in the Department of Mathematics at the University of British Columbia (UBC). Renowned for his leadership in undergraduate mathematics curriculum design, he has dedicated years to enhancing student learning experiences in core calculus courses.
Co-authoring open educational resources alongside UBC colleagues, MacLean actively champions accessible learning materials globally. His ongoing pedagogical initiatives remain key benchmarks for educators developing university level open calculus resources and effective study toolkits.
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