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First Year Calculus by William L Chen



Book 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

About this book :-
"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 Detail :-
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 Author :-
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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