Complete Mathematics

Course Information

Categories:

Course Instructor

Mahendra Gaikwad Mahendra Gaikwad Author

Mahendra Gaikwad Sir (BTech, MTech – IIT Bombay) – has 28+ years – Teaching + Corporate Work Experience – is the most admired teacher of Science and Mathematics – delivered exceptional results in Engineering & Medical Entrance Exams

Angle and its Measurement (11-I)

Directed Angles
Arc Length and Area of a Sector

Trigonometry-I (11-I)

Introduction
Fundamental Identities

Trigonometry-II (11-I)

Compound angle
Trigonometric functions of allied angles
Trigonometric functions of multiple angles
Factorization formulae
Trigonometric functions of angles of a triangle

Determinants and Matrices (11-I)

Introduction
Properties of Determinants
Application of Determinants
Introduction to Matrices
Algebra of Matrices
Properties of Matrix Multiplication
Properties of transpose of a matrix

Straight Line (11-I)

Locus
Straight Line
Equation of line in standard forms
General form of equation of a line

Circle (11-I)

Different forms of equation of a circle
General equation of a circle
Parametric Form of a circle

Conic Sections (11-I)

Introduction
Parabola
Ellipse
Hyperbola

Standard Deviation for Combined data

Measures of Dispersion
VARIANCE and STANDARD DEVIATION

Probability (11-I)

Basic Terminologies
Addition theorem for two events
Conditional Probability
Bayes’ Theorem
ODDS (Ratio of two complementary   probabilities)

Complex Numbers (11-II)

Introduction
Algebra of Complex Numbers
Argand Diagram or Complex Plane
Polar & Exponential Form
Addition on Argand Diagram
Subtraction on Argand Diagram
Multiplication on Argand Diagram
Properties of modulus
Properties of Argument
De Moivres Theorem

Sequences and Series (11-II)

Sequence
Arithmetic Progression- ( A.P.)
Geometric progression
Sum of infinite terms of G. P.
Harmonic Progression ( H. P. )
Types of Means
Arithmatico-Geometric Progression
Power Series

Permutations and Combination (11-II)

Introduction
Fundamental principles of counting
Invariance Principle
Factorial Notation
Permutations
Combinations

Method of Induction and Binomial Theorem

Principle of Mathematical Induction
Binomial Theorem for positive integral Index
General term in expansion of (a+b)^n
Binomial Theorem for Negative Index or Fraction
Binomial Coefficients

Sets and Relations (11-II)

Introduction
Relations

Functions (11-II)

Function
Algebra of functions

Limits (11-II)

Definition of Limit
Method of Factorization
Method of Rationalization
Limit of Trigonometric Function
Substitution Method
Limits of Exponential and logarithmic functions
Limit at Infinity

Continuity (11-II)

Continuous And Discontinuous Function
Continuity of a Function at a Point
Definition of Continuity
Continuity From The Right And From The Left
Examples of Continuous Functions
Properties of Continuous Functions
Types of Discontinuities
Jump Discontinuity
Removable Discontinuity
Infinite Discontinuity
Continuity Over An Interval
The Intermediate Value Theorem For Continuous Functions

Differentiation (11-II)

Introduction
Definition of Derivative And Differentiability
Derivatives of Some Standard Function
Derivative By Method of First Principle
Derivatives of Some Standard Functions
Relationship Between Differentiability   and Continuity
Rules of Differentiation

Mathematical Logic (12-I)

This section does not have any lessons.

Matrics (12-I)

This section does not have any lessons.

Trigonometric Functions (12-I)

This section does not have any lessons.

Pair of Straight Lines (12-I)

This section does not have any lessons.

Vectors (12-I)

This section does not have any lessons.

Line & Plane (12-I)

This section does not have any lessons.

Linear Programming (12-I)

This section does not have any lessons.

Differentiation (12-II)

This section does not have any lessons.

Application of Derivatives (12-II)

This section does not have any lessons.

Indefinite Integration (12-II)

This section does not have any lessons.

Definite Integration (12-II)

This section does not have any lessons.

Application of Definite Integration (12-II)

This section does not have any lessons.

Differential Equations (12-II)

This section does not have any lessons.

Probability Distributions (12-II)

This section does not have any lessons.

Binomial Distributions (12-II)

This section does not have any lessons.

Course Information

Categories:

Course Instructor

Mahendra Gaikwad Mahendra Gaikwad Author

Mahendra Gaikwad Sir (BTech, MTech - IIT Bombay) - has 28+ years - Teaching + Corporate Work Experience - is the most admired teacher of Science and Mathematics - delivered exceptional results in Engineering & Medical Entrance Exams

Angle and its Measurement (11-I)

Directed Angles
Arc Length and Area of a Sector

Trigonometry-I (11-I)

Introduction
Fundamental Identities

Trigonometry-II (11-I)

Compound angle
Trigonometric functions of allied angles
Trigonometric functions of multiple angles
Factorization formulae
Trigonometric functions of angles of a triangle

Determinants and Matrices (11-I)

Introduction
Properties of Determinants
Application of Determinants
Introduction to Matrices
Algebra of Matrices
Properties of Matrix Multiplication
Properties of transpose of a matrix

Straight Line (11-I)

Locus
Straight Line
Equation of line in standard forms
General form of equation of a line

Circle (11-I)

Different forms of equation of a circle
General equation of a circle
Parametric Form of a circle

Conic Sections (11-I)

Introduction
Parabola
Ellipse
Hyperbola

Standard Deviation for Combined data

Measures of Dispersion
VARIANCE and STANDARD DEVIATION

Probability (11-I)

Basic Terminologies
Addition theorem for two events
Conditional Probability
Bayes’ Theorem
ODDS (Ratio of two complementary   probabilities)

Complex Numbers (11-II)

Introduction
Algebra of Complex Numbers
Argand Diagram or Complex Plane
Polar & Exponential Form
Addition on Argand Diagram
Subtraction on Argand Diagram
Multiplication on Argand Diagram
Properties of modulus
Properties of Argument
De Moivres Theorem

Sequences and Series (11-II)

Sequence
Arithmetic Progression- ( A.P.)
Geometric progression
Sum of infinite terms of G. P.
Harmonic Progression ( H. P. )
Types of Means
Arithmatico-Geometric Progression
Power Series

Permutations and Combination (11-II)

Introduction
Fundamental principles of counting
Invariance Principle
Factorial Notation
Permutations
Combinations

Method of Induction and Binomial Theorem

Principle of Mathematical Induction
Binomial Theorem for positive integral Index
General term in expansion of (a+b)^n
Binomial Theorem for Negative Index or Fraction
Binomial Coefficients

Sets and Relations (11-II)

Introduction
Relations

Functions (11-II)

Function
Algebra of functions

Limits (11-II)

Definition of Limit
Method of Factorization
Method of Rationalization
Limit of Trigonometric Function
Substitution Method
Limits of Exponential and logarithmic functions
Limit at Infinity

Continuity (11-II)

Continuous And Discontinuous Function
Continuity of a Function at a Point
Definition of Continuity
Continuity From The Right And From The Left
Examples of Continuous Functions
Properties of Continuous Functions
Types of Discontinuities
Jump Discontinuity
Removable Discontinuity
Infinite Discontinuity
Continuity Over An Interval
The Intermediate Value Theorem For Continuous Functions

Differentiation (11-II)

Introduction
Definition of Derivative And Differentiability
Derivatives of Some Standard Function
Derivative By Method of First Principle
Derivatives of Some Standard Functions
Relationship Between Differentiability   and Continuity
Rules of Differentiation

Mathematical Logic (12-I)

This section does not have any lessons.

Matrics (12-I)

This section does not have any lessons.

Trigonometric Functions (12-I)

This section does not have any lessons.

Pair of Straight Lines (12-I)

This section does not have any lessons.

Vectors (12-I)

This section does not have any lessons.

Line & Plane (12-I)

This section does not have any lessons.

Linear Programming (12-I)

This section does not have any lessons.

Differentiation (12-II)

This section does not have any lessons.

Application of Derivatives (12-II)

This section does not have any lessons.

Indefinite Integration (12-II)

This section does not have any lessons.

Definite Integration (12-II)

This section does not have any lessons.

Application of Definite Integration (12-II)

This section does not have any lessons.

Differential Equations (12-II)

This section does not have any lessons.

Probability Distributions (12-II)

This section does not have any lessons.

Binomial Distributions (12-II)

This section does not have any lessons.