Integral Calculus Course Materials by Miguel A. Lerma
Integral Calculus Course Materials - Table of Contents
1. Integrals
2. Applications of Integration
3. Differential Equations
4. Infinite Sequences and Series
5. Hyperbolic Functions
6. Various Formulas
7. Table of Integrals
What You Will Learn in Integral Calculus Course Materials
"Notes on Calculus II: Integral Calculus" by Miguel A. Lerma is a clear and concise resource designed for students learning advanced calculus concepts. It presents "integral calculus", "definite integrals", and the "Fundamental Theorem of Calculus" in a simple, structured way. The book is based on lecture notes, making it easy to follow and focused on essential ideas.
The content covers key techniques such as substitution, integration by parts, and partial fractions, along with applications like finding areas, volumes, and arc lengths. It also introduces "differential equations" and "infinite series", helping students connect integration with broader mathematical topics. The explanations are practical and supported by examples that improve problem-solving skills.
Overall, this book is a helpful guide for building a strong understanding of calculus. Its step-by-step approach and real-world applications make it suitable for university students. With its focus on clarity and practice, it supports learners in mastering concepts and preparing for advanced studies in mathematics and related fields.
Book Details & Specifications
Title:
Integral Calculus Course Materials by Miguel A. Lerma
Publisher:
University of California (UC Davis)
Year:
2002
Pages:
120
Type:
PDF
Language:
English
ISBN-10 #:
8121906814
ISBN-13 #:
978-8121906814
License:
External Educational Resource
Amazon:
Amazon
About the Author: Miguel Archivo Lerma
The author
Miguel Archivo Lerma
is a Professor of Mathematics at Northwestern University, Evanston, United States, known for his clear and structured teaching style. While detailed information about his "birthplace" and early life is limited, he is recognized for preparing university-level lecture notes, especially for Calculus II courses. His academic background reflects strong training in higher mathematics. His expertise includes "Integral Calculus", "series and sequences", and applied mathematics. Lerma’s notes are valued for their "step-by-step explanations" and student-friendly approach. His work focuses on simplifying complex ideas, making him a respected contributor to "mathematics education" and self-learning resources.
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