First Year Calculus by William L Chen
First Year Calculus - Table of Contents
1. The Number System
2. Functions
3. Introduction to Derivatives
4. Some Special Functions
5. Applications of Derivatives
6. Limits of Functions
7. Continuity
8. Differentiation
9. The Definite Integral
10. Techniques of Integration
11. Numerical Integration
12. Applications of Integration
13. Improper Integrals
14. Ordinary Differential Equations
15. First Order Ordinary Differential Equations
16. Second Order Ordinary Differential Equations
17. Functions of Two Variables
18. Interpolation and Approximation
19. Sequences
20. Series
21. Power Series
22. The Binomial Theorem
What You Will Learn in First Year Calculus
"First Year Calculus" by William W. L. Chen is a well-organized introductory textbook designed for university beginners. It builds a strong foundation by covering essential topics like numbers, functions, and "Limits" in a clear and logical way. The content is based on real lecture notes, making it practical and easy to follow for students starting their calculus journey.
The book explains core ideas such as "Derivatives" and "Integration" with step-by-step methods and meaningful examples. It also includes applications like curve sketching, optimization, and basic differential equations. This balanced approach helps learners connect theory with real-world problem solving while improving their analytical thinking and understanding of "Calculus Concepts".
One of the key advantages of this book is its accessibility. It is freely available, making it an excellent resource for students and self-learners worldwide. With its structured lessons, clear explanations, and wide coverage, "First Year Calculus" is a reliable guide for mastering first-year mathematics and developing strong "Problem Solving" skills.
Book Details & Specifications
Title:
First Year Calculus by William L Chen
Publisher:
William Chen
Year:
2008
Pages:
238
Type:
PDF
Language:
English
ISBN-10 #:
0536002657
ISBN-13 #:
978-0536002655
License:
External Educational Resource
Amazon:
Amazon
About the Author: William W. L. Chen
The author
William W. L. Chen
is an Australian mathematician and professor at Macquarie University, Sydney, known for his work in "mathematics education", "number theory", and "combinatorics". He completed advanced studies in mathematics at the PhD level and built a strong academic career focused on both research and teaching. His early life details are not widely published, but his academic influence is well recognized. His expertise includes "uniform distribution theory" and "calculus teaching", where he emphasizes clarity and structured learning. Through "First Year Calculus", he supports "student-friendly learning", helping beginners understand core concepts with simple explanations and practical problem-solving approaches.
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