MATHEMATICS-VOLUME 2 · 12th TN - English Medium
8 chapters · 218 topics
Chapter 3: Chapter
- . . Early Developments
- Learning Objectives
- . . Derivative as slope
- . . Derivative as rate of change
- . . Derivative as rate of change · Part
- . . Derivative as rate of change · Part
- . . Derivative as rate of change · Part
- . . Related rates
- . . Related rates · Part
- EXERCISE .
- EXERCISE . · Part
- . . Equations of Tangent and Normal
- . . Equations of Tangent and Normal · Part
- . . Angle between two curves
- . . Angle between two curves · Part
- . . Angle between two curves · Part
- EXERCISE .
- . Mean Value Theorem
- . . Rolle’s Theorem
- . . Rolle’s Theorem · Part
- . . Rolle’s Theorem · Part
- . . Lagrange’s Mean Value Theorem
- . . Lagrange’s Mean Value Theorem · Part
- . . Applications
- EXERCISE .
- . Series Expansions
- EXERCISE .
- . . A Limit Process
- . . The L’Hôpital’s Rule
- . . Indeterminate forms
- . . Indeterminate forms · Part
- . . Indeterminate forms · Part
- . . Indeterminate forms , ∞ and ∞
- EXERCISE .
- . . Monotonicity of functions
- . . Monotonicity of functions · Part
- . . Monotonicity of functions · Part
- . . Absolute maxima and minima
- . . Relative Extrema on an Interval
- . . Extrema using First Derivative Test
- . . Extrema using First Derivative Test · Part
- . . Extrema using First Derivative Test · Part
- . . Extrema using First Derivative Test · Part
- EXERCISE .
- . . Concavity, Convexity, and Points of Inflection
- . . Concavity, Convexity, and Points of Inflection · Part
- . . Concavity, Convexity, and Points of Inflection · Part
- . . Extrema using Second Derivative Test
- . . Extrema using Second Derivative Test · Part
- EXERCISE .
- . Applications in Optimization
- x x
- EXERCISE .
- . . Symmetry
- . . Asymptotes
- . . Asymptotes · Part
- . Sketching of Curves
- EXERCISE .
- EXERCISE . · Part
- EXERCISE . · Part
- ) , then dy
- ] and differentiable on the open interval a b
- ) be a critical point of function f x
- or Scan the QR Code
- Motivation
- Motivation · Part
- Motivation · Part
- Learning Objectives
Chapter 4: Chapter
- . . Linear Approximation
- . . Linear Approximation · Part
- . . Errors: Absolute Error, Relative Error, and Percentage Error
- . . Errors: Absolute Error, Relative Error, and Percentage Error · Part
- . . Errors: Absolute Error, Relative Error, and Percentage Error · Part
- . . Errors: Absolute Error, Relative Error, and Percentage Error · Part
- EXERCISE .
- EXERCISE . · Part
- EXERCISE . · Part
- Properties of Differentials
- EXERCISE .
- . Functions of Several Variables
- . . Recall of Limit and Continuity of Functions of One Variable
- . . Recall of Limit and Continuity of Functions of One Variable · Part
- . Limit and Continuity of Functions of Two Variables
- EXERCISE .
- EXERCISE .
- . Linear Approximation and Differential of a function of several variables
- EXERCISE .
- . . Function of Function Rule
- EXERCISE .
- . . Homogeneous Functions and Euler’s Theorem
- EXERCISE .
- EXERCISE . · Part
- SUMMARY
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Chapter 5: Chapter
Chapter 8: Chapter 8
Chapter 9: Chapter
- . Differential Equation, Order, and Degree
- . Differential Equation, Order, and Degree · Part
- . Differential Equation, Order, and Degree · Part
- EXERCISE .
- . Classification of Differential Equations
- . Classification of Differential Equations · Part
- . . Formation of Differential equations from Physical Situations
- EXERCISE .
- . . Formation of Differential Equations from Geometrical Problems
- . . Formation of Differential Equations from Geometrical Problems · Part
- EXERCISE .
- . Solution of Ordinary Differential Equations
- . Solution of Ordinary Differential Equations · Part
- EXERCISE .
- . . Variables Separable Method
- . . Substitution Method
- EXERCISE .
- . . Homogeneous Form or Homogeneous Differential Equation
- . . Homogeneous Form or Homogeneous Differential Equation · Part
- . . Homogeneous Form or Homogeneous Differential Equation · Part
- EXERCISE .
- . First Order Linear Differential Equations
- . Applications of First Order Ordinary Differential Equations
- . . Population growth
- . . . Radioactive decay
- . . . Newton’s Law of cooling/warming
- . . Mixture problems
- EXERCISE .
- EXERCISE . · Part
- EXERCISE .
- EXERCISE . · Part
- EXERCISE . · Part
- SUMMARY
- SUMMARY · Part
- or Scan the QR Code
- Probability Distributions
- Learning Objectives
Chapter 10: Chapter
- . Random Variable
- { ω , ω , ω ,... ω k } is
- . Types of Random Variable
- . . Discrete random variables
- . . Probability Mass Function
- . . Cumulative Distribution Function or Distribution Function
- . . Cumulative Distribution Function from Probability Mass function
- . . Probability Mass Function from Cumulative Distribution Function
- EXERCISE .
- . Continuous Distributions
- . . Probability density function
- . . Distribution function from Probability density function
- EXERCISE11.
- . Mathematical Expectation
- . . Variance
- EXERCISE .
- . Theoretical Distributions: Some Special Discrete Distributions
- . . The One point distribution
- . . The Two point distribution
- . . The Bernoulli distribution
- . . The Binomial Distribution
- EXERCISE .
- EXERCISE . · Part
- SUMMARY
- or Scan the QR Code
Chapter 11: Chapter
- . Introduction
- Discrete Mathematics
- Learning Objectives
- . . Definitions
- . . Definitions · Part
- . . Some more properties of a binary operation
- . . Some more properties of a binary operation · Part
- . . Some more properties of a binary operation · Part
- ) ∉ . Other properties need not be checked as it is not
- m e = m
- . . Some binary operations on Boolean Matrices
- . . Modular Arithmetic
- . Mathematical Logic
- . . Statement and its truth value
- . . Compound Statements, Logical Connectives, and Truth Tables
- Logical Connectives and their Truth Tables
- . . Tautology, Contradiction, and Contingency
- . . Duality
- . . Logical Equivalence
- (ii) p ∧ 𝕋 ≡ p and p ∧ 𝔽 ≡ 𝔽
- EXERCISE .
- EXERCISE . · Part
- EXERCISE . · Part
- EXERCISE . · Part
- SUMMARY
- SUMMARY · Part
- SUMMARY · Part
- Involution Law or Double Negation Law: ¬(¬ p ) ≡ p
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- EXERCISE .
- EXERCISE .
- EXERCISE .
- EXERCISE .