₹699.00
What calculus? Why calculus? Where calculus? How calculus?
This book answer these questions and more, and you will easily understand the naunces and complexities of calculus without any out source.
(1.1): Introduction: Let us first know our brain functions. Page-6
(1.2): Why and How Logic?
(1.3): Logic or Reasoning in Math:
(1.4). Reasoning Process:
(1.5): Terminology:
(1.6): Deductive and Inductive Reasoning:
(1.7): Deductive Reasoning in Daily Life:
(1.8): Inductive Reasoning:
(2.1). Type of Deductive and Inductive Reasoning:
(2.2). Applications of Deductive Reasoning:
(A): Application of Deductive Reasoning in Geometry:
(B): Application of Deductive Reasoning in Algebra:
(C): Applications of Deductive Reasoning in Statistics:
(D): Applications of Deductive Reasoning in Calculus:
(2.3). Inductive Reasoning:
(2.4): How to use Pattern and Generalization Reasoning to Solve Problems:
(A): Pattern in Polynomials:
(B): Pattern in Statistics:
(C): Pattern in Graph :
(D): Pattern in Trigonometry:
(E): Pattern in Calculus:
(3.1): Introduction:
(3.2): Why we study Calculus?
(3.3): Uses of Calculus:
(3.4): Number System: Pre- Calculus:
(3.5): Proportional Reasoning: Big Idea:
(3.6): Geometric Interpretation of Direct Variation:
(3.7): Inverse Proportionality (Inverse Variation):
(3.8): Ordered Pair:
(3.9): Inequality:
(3.10): Set and Set Notation:
(3.11): Interval Notation:
(3.12): Functions or Mapping:
(3.13): Types of Functions:
(3.14): Domain and Range:
(3.15): Methods of representing a function
(3.16): How to make a rule or a formula or an equation or function from given data:
(3.17): Operations with Functions:
(3.18): Some Important Functions:
(3.19): Example of Solved Problems:
(3.20): NCERT Exercises: Functions.
(3.21): Summary:
(3.22): Practice Problems: MCQ-A: Practice Problems-B, C and D
(3.23): PREPARE YOURSEF FOR EXAM:
CBSE BOARD, AIEEEE and IIT PROBLEMS
(4.1): Introduction:
(4.2): Physical View of Limit:
(4.3). Intuitive Idea of Limit and Derivatives:
(4.4): Formal Definition of Limit:
(4.5): Right Handed and left handed limits:
(4.6): Undefined Operations:
(4.7): Limits Approaching Infinity:
(4.8): Limit Properties: Algebra of Limits:
(4.9): Evaluation Techniques of Limits:
(4.10): More Techniques of Evaluating Limits:
(4.11): Limits of Trigonometric Functions:
(4. 13): Sandwich Theorem or Squeeze theorem:
(4.14): Indeterminate Forms and L’Hospital’s Rule:
(4. 15): NCERT Exercises:
(4. 16). Summary:
(4.17): Practice Problems: MCQ-A: Practice Problems-B, and C
(4.18). PREPARE YOURSEF FOR EXAM:
CBSE BOARD, AIEEE, and IIT Problems:
(5.1): Continuous Functions:
(5.2): Definition of Continuity at a Point:
(5.3): What Does Continuity Mean Numerically?
(5.4): Applications of Continuous Functions:
(5.5): Algebraic View of Continuity of Function:
(5.6): Continuity Theorems and Their use in Calculus:
(5.7): Types of discontinuity:
(5.8): Intermediate Value Theorem:
(5.9): Examples of Solved Problems:
(5.10): Summary:
(5.11): Practice Problems: MCQ-A: Practice Problems-B, and C, NCERT Exercises
(5.12): PREPARE YOURSELF FOR EXAM:
CBSE BOARD, AIEEE, and IIT Problems
(6.1): Introduction.
(6.2): Geometrical meaning of derivative:
The Limit Method: Differentiation from first principles:
(6.3): The Physical Concept of the Derivative:
(6.4): Theorems on Derivatives: Differentiation Rules:
(6.5): Derivative of Some Important Functions:
(6.6); Differentiation of Trigonometric Function:
(6.7): Continuity and Differentiability:
(6.8): Derivative of Other Important Functions:
(6.9): Second Order Derivative:
(6.10): The Mean Value Theorem:
(6.11): Summary:
(6.12): Practice Problems: MCQ-A: Practice Problems-B, and C ; NCERT Exercises
(6.13): PREPARE YOURSELF FOR EXAM:
CBSE BOARD, AIEEE, and IIT Problems
(7.1): Rate of Change of Quantities:
(7.2): Increasing and Decreasing Functions:
(7.3): Tangents and Normals:
(7.4): Approximation with Derivatives:
(7.5): Maxima and Minima: Applications of Maxima and Minima in Daily Life:
(7.6): Absolute maximum and absolute minimum values of a function on a closed interval:
(7.7): Summary:
(7.8): Practice Problems: MCQ-A: Practice Problems-B, and C; NCERT Exercises
(7.9): PREPARE YOURSELF FOR EXAM:
CBSE BOARD, AIEEE, and IIT Problems
(8.1): Definition:
(8.2): Why Integral Calculus?
(8.3): Definition: Physical Interpretation of Integration:
(8.4): Integeration As The Reverse Process of Differntiation:
(8.5): How to Integrate:
(7.6): Geometrical interpretation of indefinite integral:
(8.7): Some properties of indefinite integral:
(8.8): Comparison between Differentiation and Integration:
(8.9): Methods of Integration: (i): Integration by Substitution and Change of Variables:
(i-a): Indirect Substitutions
(i-b). Integration of Exponential Functions:
(i-c). Integration of Rational Functions Resulting in Logarithmic Functions etc.
(i-d): Method of Integration by Power Substitution:
(ii): Integrals Involving Trig Functions:
Integration using trigonometric identities:
Indirect Substitution:
Integrals Involving Trig Functions: General Form/Pattern: Integration by Pattern Recognition:
(iii): Standard Substitutions: Integrals of Some Particular Algebraic Functions:
Trig Substitutions: Integration by Recognizing following Pattern:
Integrals Involving Quadratics and its roots: Integration by Pattern Recognition:
(iv): Integration by partial fractions: Integration by Pattern Recognition:
Type of Partial Fraction Decomposition Problems:
(v): Integration by parts:
(vi): Integrals of some more types /patterns:
(8.10): SUMMARY:
(8.11): Practice Problems: MCQ-A: Practice Problems-B, and C, NCERT Exercises
(8.12): PREPARE YOURSELF FOR EXAM:
CBSE BOARD, AIEEE, IIT PROBLEMS:
(9.1): On Finding Areas by Integration:
(9.2): Physical Interpretation of Definite Integral:
(9.3): Fundamental theorem of calculus:
(9.4): (A).Evaluation of Definite Integral by Substitution:
(B).Evaluation of Definite Integral by Parts:
(C).Evaluation of Definite Integral by Partial Fraction:
(D): Even and Odd Functions:
(9.5): Properties of definite integrals:
(9.6): Summary:
(9.7): Practice Problems: MCQ-A: Practice Problems-B, C, D and E; NCERT Exercises
(9.8): PREPARE YOURSELF FOR EXAM:
CBSE BOARD, AIEEE and IIT PROBLEMS:
(10.1): Area under simple curves:
(10.2): Area of the region bounded by a curve and a line:
(10.3): Area of the region bounded by the two curves:
(10.4): SUMMARY:
(10.5): Practice Problems: MCQ-A: Practice Problems-B, and C, NCERT Exercises
(10.6): PREPARE YOURSELF FOR EXAM:
AIEEE and IIT Problems
(11.1). Why study differential equations?
(11.2). Differential Equation:
(11.3). Order and degree of a differential equation:
(11.4): General and particular solutions of a differential equation:
(11.5): Formation of a differential equation whose general solution is given:
(11.6): Methods of solving first order, first degree differential equations:
(i): Method of Solving Differential equations with variables separable:
(ii): Homogeneous differential equations:
(iii). Linear differential equations:
(11.7). Summary:
(11.8): Practice Problems: MCQ-A: Practice Problems-B, and C; NCERT Exercises
(11.9). PREPARE YOURSELF FOR EXAM:
AIEEE and IIT Problems.
Reviews
There are no reviews yet.