Coordinate Geometry and Differential Calculus: A Self-Teaching Book for High Schools and Colleges - Softcover

Augustine, Kingsley

Softcover

ISBN 13: 9798870741772

Publisher: Independently published, 2023

Synopsis

Coordinate Geometry and Differential Calculus is a book that contains topics under coordinate geometry and differential calculus. This book serves as a useful companion for students in high schools, colleges and universities. It is a valuable textbook for students who want to write entrance test or examination into colleges and universities. This book consists of step-by-step explanation of topics presented in a way that is easy for students to understand. It contains very many worked examples and many self-assessment exercises to ensure that students get a mastery of each topic covered. The answers to the exercises are provided at the end of the book.
What makes this book a unique mathematical asset, is its detailed step by step approach in explaining the topics covered in these branch of mathematics. Instead of solving questions by going straight to the point, leaving you confused and frustrated, this textbook teaches you in simple English, explaining each step taken at a time. Thus, allowing anyone, regardless of their experience in algebra and differential calculus, to understand each topic with ease, and hence make mathematics more interesting.
Exercises are given at the end of each chapter for students to assess their understanding of the topics. Answers to the exercises are provided at the end of the book. This math textbook is an ideal resource for high school (secondary school), college and university students. It is also a useful book for students preparing for admission into tertiary institutions and need to take entrance tests or exams.
Topics covered in this math textbook include:

• THE STRAIGHT LINE: CHARACTERISTICS AND EQUATION
• AREAS OF TRIANGLE AND QUADRILATERAL USING THE X-Y COORDINATES
• LOCUS OF POINTS IN THE X-Y PLANE
• COORDINATE GEOMETRY OF CIRCLE
• THE PARABOLA
• THE ELLIPSE
• THE HYPERBOLA
• LIMIT OF A FUNCTION
• DIFFERENTIATION FROM FIRST PRINCIPLE
• GENERAL RULE OF DIFFERENTIATION AND COMPOSITE FUNCTIONS
• PRODUCT RULE OF DERIVATIVE
• QUOTIENT RULE OF DERIVATIVE
• DERIVATIVE OF PARAMETRIC EQUATIONS
• DERIVATIVE OF IMPLICIT FUNCTIONS
• DERIVATIVE OF TRIGONOMETRIC FUNCTIONS
• DERIVATIVE OF INVERSE FUNCTIONS
• DERIVATIVES OF INVERSE TRIGONOMETRIC FUNCTIONS
• DERIVATIVES OF HYPERBOLIC FUNCTIONS
• DERIVATIVE OF LOGARITHMIC FUNCTIONS
• DERIVATIVE OF EXPONENTIAL FUNCTIONS
• LOGARITHMIC DIFFERENTIATION
• DERIVATIVE OF ONE FUNCTION WITH RESPECT TO ANOTHER
• HIGHER DERIVATIVES (SUCCESSIVE DIFFERENTIATION)
• MISCELLANEOUS PROBLEMS ON DIFFERENTIAL CALCULUS

This book follows a self-guided approach which enables you to move through the material at your own pace―gradually building upon your knowledge while you strengthen your critical thinking and problem-solving skills.
This textbook breaks down difficult calculations into simpler steps. It gets you rolling with all the basics you need. This worked examples-packed book on coordinate geometry and differential calculus, puts you on the fast-track to mastering problem solving skills in these areas of mathematics.

Edition details

• Publisher: Independently published
• Publication date: 2023
• Language: English
• ISBN 13: 9798870741772
• Binding: Paperback
• Number of pages: 288