Read more
This textbook teaches the fundamentals of calculus, keeping points clear, succinct and focused, with plenty of diagrams and practice but relatively few words. It assumes a very basic knowledge but revises the key prerequisites before moving on. Definitions are highlighted for easy understanding and reference, and worked examples illustrate the explanations. Chapters are interwoven with exercises, whilst each chapter also ends with a comprehensive set of exercises, with answers in the back of the book. Introductory paragraphs describe the real-world application of each topic, and also include briefly where relevant any interesting historical facts about the development of the mathematical subject.
This text is intended for undergraduate students in engineering taking a course in calculus. It works for the Foundation and 1
st year levels. It has a companion volume Foundation Algebra.
List of contents
1. Prerequisites
2. Derivative – I
3. Derivative – II
4. Applications of Derivatives I.
5. Applications of Derivatives II
6. Integration – I
7. Integration II
8. Definite Integration
9. Numerical Integration
10. Applications of Integration
11. Differential Equations
12. Differential Equation Models.
Appendix: Proofs
Answers to Exercise Questions.
About the author
Pragnesh Gajjar is Senior Tutor in Maths and Computer Science at the Centre for English Language Education (CELE), The University of Nottingham Ningbo China (UNNC) , China.
Summary
This textbook teaches the fundamentals of calculus, keeping points clear, succinct and focused, with plenty of diagrams and practice but relatively few words. It assumes a very basic knowledge but revises the key prerequisites before moving on. Definitions are highlighted for easy understanding and reference, and worked examples illustrate the explanations. Chapters are interwoven with exercises, whilst each chapter also ends with a comprehensive set of exercises, with answers in the back of the book. Introductory paragraphs describe the real-world application of each topic, and also include briefly where relevant any interesting historical facts about the development of the mathematical subject.
This text is intended for undergraduate students in engineering taking a course in calculus. It works for the Foundation and 1st year levels. It has a companion volume Foundation Algebra.
