CALCULUS 1:- COURSE IN MATHEMATICS FOR THE IIT JEE AND OTHER ENGINEERING ENTRANCE EXAM

Calculus-1: Course in Mathematics for the IIT-JEE and Other Engineering Entrance Examinations is designed to help students master calculus for the coveted IIT-JEE, AIEEE, state-level engineering entrance exams and all other state senior secondary exams, in addition to the AISSSCE.

The book adopts a well-defined, meticulously planned and smartly structured learning approach. It includes lecture-wise tests that facilitate revise every completed lecture. It contains Speed Accuracy Sheets that improve the speed and accuracy of scholars and facilitate them revise key ideas. It additionally provides innovative tips and tricks that square measure straightforward to use and keep in mind and includes resolved Topic-Wise Question Banks to boost the comprehension and application of ideas. This first volume deals with Functions, limits, continuity, differentiability and applications of derivatives.


BOOK INFO

BOOK NAME – CALCULUS 1:- COURSE IN MATHEMATICS FOR THE IIT JEE AND OTHER ENGINEERING ENTRANCE EXAM

AUTHOR – K R CHOUBEY, RAVIKANT CHOUBEY, CHNDRAKANT CHOUBEY

SIZE - 7.1MB

PAGES – 413

Course in Mathematics: A Lecture-wise Approach is a complete resource that is designed to help students master mathematics for the coveted IIT-JEE, AIEEE, state-level engineering entrance exams and all other state senior secondary exams, in addition to the AISSSCE. This meticulously crafted and designed series reflects the command and authority of the authors on the subject. The series adopts an easy step-by-step approach to make learning mathematics at the senior secondary level a joyful experience.


KEY FEATURES


  • Adopts a well-defined, meticulously planned and smartly structured learning approach.
  • Includes lecture-wise tests that help revise each completed lecture.
  • Contains Speed Accuracy Sheets that improve the speed and accuracy of students and help them revise key concepts.
  • Provides innovative tips and tricks that are easy to apply and remember.
  • Includes solved Topic-Wise Question Banks to enhance the comprehension and application of concepts.



TABLE OF CONTENTS

PART A FUNCTIONS

Lecture 1 Definitions, Value of Functions
Lecture 2 Domain and Range of Real Functions
Lecture 3 Algebra of Functions
Lecture 4 Mapping of Functions
Lecture 5 Test Your Skills

PART B LIMITS

Lecture 1 Basic Definition, Evaluation of limits (Basic)
Lecture 2 Evaluation of Limits
Lecture 3 Test Your Skills

PART C CONTINUITY

Lecture 1 Evaluation of Continuity
Lecture 2 Continuous Functions
Lecture 3 Test Your Skills

PART D DIFFERENTIABILITY

Lecture 1 Existence of Derivatives
Lecture 2 Test Your Skills

PART E Differentiation

Lecture 1 Simple Differentiation
Lecture 2 Fundamental Theorems
Lecture 3 Differentiation of Inverse Function

PART F APPLICATIONS OF DERIVATIVES

Lecture 1 Monotonic (Increasing and Decreasing) Functions Mean Value Theorem and Approximations
Lecture 2 Rolle's Theorem and Rate of Change of Quantities
Lecture 3 Tangent and Normal F
Lecture 4 Maxima and Minima 1
Lecture 5 Maxima and Minima 2
Lecture 6 Test Your Skills

SOURCE:- Unknown

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