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NDA Foundation Course (Class 11 & 12) Sarvodaya Nagar,Kanpur - Learnees

NDA Foundation Course (Class 11 & 12) Sarvodaya Nagar,Kanpur

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NDA Foundation Course (Class 11 & 12) Sarvodaya Nagar,Kanpur

This foundation course is an excellent choice for students who wish to build a strong academic base while preparing systematically for a career as an officer in the Indian Armed Forces. Early preparation allows aspirants to develop the knowledge, discipline, confidence, and leadership skills required to succeed in the highly competitive NDA selection process.

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1. NDA Mathematics: Algebra

Topics:

Concept of Set
Operations on Sets
Venn Diagrams
De Morgan's Laws
Cartesian Product
Relations
Equivalence Relations
Representation of Real Numbers on a Number Line
Complex Numbers (Basic Properties
Modulus
Argument)
Cube Roots of Unity
Binary Number System
Decimal to Binary Conversion
Binary to Decimal Conversion
Arithmetic Progression (AP)
Geometric Progression (GP)
Harmonic Progression (HP)
Quadratic Equations with Real Coefficients
Solution of Linear Inequalities in Two Variables Using Graphs
Permutation and Combination
Binomial Theorem and Its Applications
Logarithms and Their Applications

Hands-on:

Skills You Will Learn:

2. NDA Mathematics: Matrices and Determinants

Topics:

Types of matrices
Operations on matrices
Determinant of a matrix
Basic properties of determinants
Adjoint and inverse of a square matrix
Applications-Solution of a system of linear equations by Cramer’s rule
Applications-Solution of a system of linear equations by Matrix Method

Hands-on:

Skills You Will Learn:

3. NDA Mathematics: Trigonometry

Topics:

Angles and their measures in degrees and radians
Trigonometrical ratios
Trigonometric identities
Sum and difference formulae
Multiple and Sub-multiple angles
Inverse trigonometric functions
Applications-Height and distance
Properties of triangles

Hands-on:

Skills You Will Learn:

4. NDA Mathematics: Analytical Geometry of Two and Three-Dimensions

Topics:

Rectangular Cartesian Coordinate system
Distance formula
Equation of a line in various forms
Angle between two lines
Distance of a point from a line
Equation of a circle in standard and general form
Standard forms of parabola
ellipse and hyperbola
Eccentricity and axis of a conic
Point in a three-dimensional space
Distance between two points
Direction Cosines and direction ratios
Equation of a plane and a line in various forms
Angle between two lines and angle between two planes
Equation of a sphere

Hands-on:

Skills You Will Learn:

5. NDA Mathematics: Differential Calculus

Topics:

Concept of a real-valued function
Domain
range and graph of a function
Composite functions
one-to-one
onto and inverse functions
Notion of limit
Standard limits—examples
Continuity of functions—examples
Algebraic operations on continuous functions
Derivative of function at a point
Geometrical and physical interpretation of a derivative
Derivatives of sum
product and quotient of functions
Derivative of a function with respect to another function
Derivative of a composite function
Second order derivatives
Increasing and decreasing functions
Application of derivatives in problems of maxima and minima

Hands-on:

Skills You Will Learn:

6. NDA Mathematics: Integral Calculus and Differential Equations

Topics:

Integration as inverse of differentiation
Integration by substitution and by parts
Standard integrals involving algebraic expressions
Trigonometric
exponential and hyperbolic functions
Evaluation of definite integrals
Determination of areas of plane
Regions bounded by curves—applications
Definition of order and degree of a differential equation
Formation of a differential equation by examples
General and particular solution of a differential equation
Solution of first-order and first-degree differential equations of various types
Application in problems of growth and decay

Hands-on:

Skills You Will Learn:

7. NDA Mathematics: Vector Algebra

Topics:

Vectors in two and three-dimensions
Magnitude and direction of a vector
Unit and null vectors
Addition of vectors
Scalar multiplication of a vector
Scalar product or dot product of two vectors
Vector product or cross product of two vectors
Applications—work done by a force
Moment of a force in geometrical problems

Hands-on:

Skills You Will Learn:

8. NDA Mathematics: Statistics

Topics:

Classification of data
Frequency distribution
Cumulative frequency distribution—examples
Graphical representation—Histogram
Pie Chart
Frequency polygon—examples
Measures of Central tendency—Mean
median and mode
Variance and standard deviation—determination and comparison
Correlation and regression

Hands-on:

Skills You Will Learn:

9. NDA Mathematics: Probability

Topics:

Random experiment
Outcomes and associated sample space events
Mutually exclusive and exhaustive events
Impossible and certain events
Union and Intersection of events
Complementary
elementary and composite events
Definition of probability—classical and statistical—examples
Elementary theorems on probability—simple problems
Conditional probability
Bayes’ theorem—simple problems
Random variable as function on a sample space
Binomial distribution
examples of random experiments (Binomial distribution)

Hands-on:

Skills You Will Learn:

10. English: Part “A” – English

Topics:

Grammar
Reading Comprehension
Vocabulary
Synonyms
Antonyms
Idioms and Phrases
Para Jumbles
Spotting the Errors
Sentence Sequencing
Active and Passive Voices
Direct and Indirect Speech

Hands-on:

Skills You Will Learn:

11. General Knowledge "B": Physics

Topics:

Physical Properties and States of Matter
Mass
Weight
Volume
Density and Specific Gravity
Principle of Archimedes
Pressure and Barometer
Motion of Objects
Velocity and Acceleration
Newton's Laws of Motion
Force and Momentum
Parallelogram of Forces
Stability and Equilibrium of Bodies
Gravitation
Work
Power and Energy
Effects of Heat
Measurement of Temperature and Heat
Change of State and Latent Heat
Modes of Transfer of Heat
Sound Waves and Their Properties
Simple Musical Instruments
Rectilinear Propagation of Light
Reflection and Refraction
Spherical Mirrors and Lenses
Human Eye
Natural and Artificial Magnets
Properties of Magnets
Earth as a Magnet
Static Electricity
Current Electricity
Conductors and Non-Conductors
Ohm's Law
Simple Electrical Circuits
Heating
Lighting and Magnetic Effects of Electric Current
Measurement of Electrical Power
Primary and Secondary Cells
Uses of X-Rays.

Hands-on:

Skills You Will Learn:

12. General Knowledge "B": General Principles in the working of the following

Topics:

Simple Pendulum
Simple Pulleys
Siphon
Levers
Balloon
Pumps
Hydrometer
Pressure Cooker
Thermos Flask
Gramophone
Telegraph
Telephone
Periscope
Telescope
Microscope
Mariner's Compass
Lightning Conductors
Safety Fuses.

Hands-on:

Skills You Will Learn:

13. General Knowledge "B": Chemistry

Topics:

Physical and Chemical Changes
Elements
Mixtures and Compounds
Chemical Symbols
Chemical Formulae
Simple Chemical Equations
Laws of Chemical Combination
Properties of Air and Water
Preparation and Properties of Hydrogen
Preparation and Properties of Oxygen
Preparation and Properties of Nitrogen
Preparation and Properties of Carbon Dioxide
Oxidation and Reduction
Acids
Bases and Salts
Different Forms of Carbon
Natural Fertilizers
Artificial Fertilizers
Structure of the Atom
Atomic Equivalent
Molecular Weights
Valency.

Hands-on:

Skills You Will Learn:

14. General Knowledge "B": Material used in the preparation of the following substances

Topics:

Soap
Glass
Ink
Paper
Cement
Paints
Safety Matches
Gun Powder

Hands-on:

Skills You Will Learn:

15. General Knowledge "B": General Science

Topics:

Difference Between Living and Non-Living
Basis of Life (Cells
Protoplasm and Tissues)
Growth and Reproduction in Plants and Animals
Human Body and Its Important Organs
Common Epidemics
Causes and Prevention of Diseases
Food as a Source of Energy
Constituents of Food
Balanced Diet
Solar System
Meteors and Comets
Eclipses
Achievements of Eminent Scientists.

Hands-on:

Skills You Will Learn:

16. General Knowledge "B": History and Freedom Movement

Topics:

Broad Survey of Indian History
Indian Culture and Civilisation
Freedom Movement in India
Indian Constitution and Administration
Five Year Plans of India
Panchayati Raj System
Co-operatives and Community Development
Bhoodan Movement
Sarvodaya Movement
National Integration
Welfare State
Basic Teachings of Mahatma Gandhi
Forces Shaping the Modern World
Renaissance
Exploration and Discovery
War of American Independence
French Revolution
Industrial Revolution
Russian Revolution
Impact of Science and Technology on Society
Concept of One World
United Nations
Panchsheel
Democracy
Socialism
Communism
Role of India in the Present World.

Hands-on:

Skills You Will Learn:

17. General Knowledge "B": Geography

Topics:

The Earth
Shape and Size of the Earth
Latitudes and Longitudes
Concept of Time
International Date Line
Movements of the Earth and Their Effects
Origin of the Earth
Rocks and Their Classification
Mechanical Weathering
Chemical Weathering
Earthquakes
Volcanoes
Ocean Currents
Tides
Atmosphere and Its Composition
Temperature
Atmospheric Pressure
Planetary Winds
Cyclones and Anti-Cyclones
Humidity
Condensation
Precipitation
Types of Climate
Major Natural Regions of the World
Regional Geography of India
Climate of India
Natural Vegetation
Mineral Resources
Power Resources
Location and Distribution of Agricultural Activities
Location and Distribution of Industrial Activities
Important Seaports of India
Main Sea Routes of India
Main Land Routes of India
Main Air Routes of India
Major Imports of India
Major Exports of India.

Hands-on:

Skills You Will Learn:

18. General Knowledge "B": Current Events

Topics:

Important Happenings and Events in India
Important International Happenings and Events
Prominent Indian Personalities
Prominent International Personalities
Prominent Personalities in Culture and Arts
Prominent Sports Personalities
Indian Heritage and Culture
Military Exercises and Their Locations
Defence Deals and Partner Countries
Recent Wars and International Conflicts
Geographical Locations of Countries Involved in Wars
Important Appointments
Latest Sports Events in India and Abroad
Government of India Schemes
International Seminars and Their Venues
Important Days and Their Themes
Latest Books and Authors
National and International Awards and Ceremonies
Climate Change Summits
Seminars and Meetings
Important Infrastructure Projects (Tunnels
Bridges
Highways
etc.)
Constitutional Articles and Provisions in the News
Important Places in the News.

Hands-on:

Skills You Will Learn:

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What You'll Learn in NDA Foundation Course (Class 11 & 12) Sarvodaya Nagar,Kanpur

Master the essential skills and industry-leading tools that will prepare you for real-world challenges and career success

Mathematics

General Ability Test (Part “A” – English)

General Ability Test (Part “B” – General Knowledge)

Curriculum Designed by Industry Experts

Master the skills employers are looking for with our comprehensive, hands-on curriculum

NDA Mathematics: Algebra

23 Topics

NDA Mathematics: Matrices and Determinants

7 Topics

NDA Mathematics: Trigonometry

8 Topics

NDA Mathematics: Analytical Geometry of Two and Three-Dimensions

15 Topics

NDA Mathematics: Differential Calculus

19 Topics

Free Career Counselling

We're happy to help you 24/7

1. NDA Mathematics: Algebra

Topics:

Concept of Set
Operations on Sets
Venn Diagrams
De Morgan's Laws
Cartesian Product
Relations
Equivalence Relations
Representation of Real Numbers on a Number Line
Complex Numbers (Basic Properties
Modulus
Argument)
Cube Roots of Unity
Binary Number System
Decimal to Binary Conversion
Binary to Decimal Conversion
Arithmetic Progression (AP)
Geometric Progression (GP)
Harmonic Progression (HP)
Quadratic Equations with Real Coefficients
Solution of Linear Inequalities in Two Variables Using Graphs
Permutation and Combination
Binomial Theorem and Its Applications
Logarithms and Their Applications

Hands-on:

Skills You Will Learn:

2. NDA Mathematics: Matrices and Determinants

Topics:

Types of matrices
Operations on matrices
Determinant of a matrix
Basic properties of determinants
Adjoint and inverse of a square matrix
Applications-Solution of a system of linear equations by Cramer’s rule
Applications-Solution of a system of linear equations by Matrix Method

Hands-on:

Skills You Will Learn:

3. NDA Mathematics: Trigonometry

Topics:

Angles and their measures in degrees and radians
Trigonometrical ratios
Trigonometric identities
Sum and difference formulae
Multiple and Sub-multiple angles
Inverse trigonometric functions
Applications-Height and distance
Properties of triangles

Hands-on:

Skills You Will Learn:

4. NDA Mathematics: Analytical Geometry of Two and Three-Dimensions

Topics:

Rectangular Cartesian Coordinate system
Distance formula
Equation of a line in various forms
Angle between two lines
Distance of a point from a line
Equation of a circle in standard and general form
Standard forms of parabola
ellipse and hyperbola
Eccentricity and axis of a conic
Point in a three-dimensional space
Distance between two points
Direction Cosines and direction ratios
Equation of a plane and a line in various forms
Angle between two lines and angle between two planes
Equation of a sphere

Hands-on:

Skills You Will Learn:

5. NDA Mathematics: Differential Calculus

Topics:

Concept of a real-valued function
Domain
range and graph of a function
Composite functions
one-to-one
onto and inverse functions
Notion of limit
Standard limits—examples
Continuity of functions—examples
Algebraic operations on continuous functions
Derivative of function at a point
Geometrical and physical interpretation of a derivative
Derivatives of sum
product and quotient of functions
Derivative of a function with respect to another function
Derivative of a composite function
Second order derivatives
Increasing and decreasing functions
Application of derivatives in problems of maxima and minima

Hands-on:

Skills You Will Learn:

6. NDA Mathematics: Integral Calculus and Differential Equations

Topics:

Integration as inverse of differentiation
Integration by substitution and by parts
Standard integrals involving algebraic expressions
Trigonometric
exponential and hyperbolic functions
Evaluation of definite integrals
Determination of areas of plane
Regions bounded by curves—applications
Definition of order and degree of a differential equation
Formation of a differential equation by examples
General and particular solution of a differential equation
Solution of first-order and first-degree differential equations of various types
Application in problems of growth and decay

Hands-on:

Skills You Will Learn:

7. NDA Mathematics: Vector Algebra

Topics:

Vectors in two and three-dimensions
Magnitude and direction of a vector
Unit and null vectors
Addition of vectors
Scalar multiplication of a vector
Scalar product or dot product of two vectors
Vector product or cross product of two vectors
Applications—work done by a force
Moment of a force in geometrical problems

Hands-on:

Skills You Will Learn:

8. NDA Mathematics: Statistics

Topics:

Classification of data
Frequency distribution
Cumulative frequency distribution—examples
Graphical representation—Histogram
Pie Chart
Frequency polygon—examples
Measures of Central tendency—Mean
median and mode
Variance and standard deviation—determination and comparison
Correlation and regression

Hands-on:

Skills You Will Learn:

9. NDA Mathematics: Probability

Topics:

Random experiment
Outcomes and associated sample space events
Mutually exclusive and exhaustive events
Impossible and certain events
Union and Intersection of events
Complementary
elementary and composite events
Definition of probability—classical and statistical—examples
Elementary theorems on probability—simple problems
Conditional probability
Bayes’ theorem—simple problems
Random variable as function on a sample space
Binomial distribution
examples of random experiments (Binomial distribution)

Hands-on:

Skills You Will Learn:

10. English: Part “A” – English

Topics:

Grammar
Reading Comprehension
Vocabulary
Synonyms
Antonyms
Idioms and Phrases
Para Jumbles
Spotting the Errors
Sentence Sequencing
Active and Passive Voices
Direct and Indirect Speech

Hands-on:

Skills You Will Learn:

11. General Knowledge "B": Physics

Topics:

Physical Properties and States of Matter
Mass
Weight
Volume
Density and Specific Gravity
Principle of Archimedes
Pressure and Barometer
Motion of Objects
Velocity and Acceleration
Newton's Laws of Motion
Force and Momentum
Parallelogram of Forces
Stability and Equilibrium of Bodies
Gravitation
Work
Power and Energy
Effects of Heat
Measurement of Temperature and Heat
Change of State and Latent Heat
Modes of Transfer of Heat
Sound Waves and Their Properties
Simple Musical Instruments
Rectilinear Propagation of Light
Reflection and Refraction
Spherical Mirrors and Lenses
Human Eye
Natural and Artificial Magnets
Properties of Magnets
Earth as a Magnet
Static Electricity
Current Electricity
Conductors and Non-Conductors
Ohm's Law
Simple Electrical Circuits
Heating
Lighting and Magnetic Effects of Electric Current
Measurement of Electrical Power
Primary and Secondary Cells
Uses of X-Rays.

Hands-on:

Skills You Will Learn:

12. General Knowledge "B": General Principles in the working of the following

Topics:

Simple Pendulum
Simple Pulleys
Siphon
Levers
Balloon
Pumps
Hydrometer
Pressure Cooker
Thermos Flask
Gramophone
Telegraph
Telephone
Periscope
Telescope
Microscope
Mariner's Compass
Lightning Conductors
Safety Fuses.

Hands-on:

Skills You Will Learn:

13. General Knowledge "B": Chemistry

Topics:

Physical and Chemical Changes
Elements
Mixtures and Compounds
Chemical Symbols
Chemical Formulae
Simple Chemical Equations
Laws of Chemical Combination
Properties of Air and Water
Preparation and Properties of Hydrogen
Preparation and Properties of Oxygen
Preparation and Properties of Nitrogen
Preparation and Properties of Carbon Dioxide
Oxidation and Reduction
Acids
Bases and Salts
Different Forms of Carbon
Natural Fertilizers
Artificial Fertilizers
Structure of the Atom
Atomic Equivalent
Molecular Weights
Valency.

Hands-on:

Skills You Will Learn:

14. General Knowledge "B": Material used in the preparation of the following substances

Topics:

Soap
Glass
Ink
Paper
Cement
Paints
Safety Matches
Gun Powder

Hands-on:

Skills You Will Learn:

15. General Knowledge "B": General Science

Topics:

Difference Between Living and Non-Living
Basis of Life (Cells
Protoplasm and Tissues)
Growth and Reproduction in Plants and Animals
Human Body and Its Important Organs
Common Epidemics
Causes and Prevention of Diseases
Food as a Source of Energy
Constituents of Food
Balanced Diet
Solar System
Meteors and Comets
Eclipses
Achievements of Eminent Scientists.

Hands-on:

Skills You Will Learn:

16. General Knowledge "B": History and Freedom Movement

Topics:

Broad Survey of Indian History
Indian Culture and Civilisation
Freedom Movement in India
Indian Constitution and Administration
Five Year Plans of India
Panchayati Raj System
Co-operatives and Community Development
Bhoodan Movement
Sarvodaya Movement
National Integration
Welfare State
Basic Teachings of Mahatma Gandhi
Forces Shaping the Modern World
Renaissance
Exploration and Discovery
War of American Independence
French Revolution
Industrial Revolution
Russian Revolution
Impact of Science and Technology on Society
Concept of One World
United Nations
Panchsheel
Democracy
Socialism
Communism
Role of India in the Present World.

Hands-on:

Skills You Will Learn:

17. General Knowledge "B": Geography

Topics:

The Earth
Shape and Size of the Earth
Latitudes and Longitudes
Concept of Time
International Date Line
Movements of the Earth and Their Effects
Origin of the Earth
Rocks and Their Classification
Mechanical Weathering
Chemical Weathering
Earthquakes
Volcanoes
Ocean Currents
Tides
Atmosphere and Its Composition
Temperature
Atmospheric Pressure
Planetary Winds
Cyclones and Anti-Cyclones
Humidity
Condensation
Precipitation
Types of Climate
Major Natural Regions of the World
Regional Geography of India
Climate of India
Natural Vegetation
Mineral Resources
Power Resources
Location and Distribution of Agricultural Activities
Location and Distribution of Industrial Activities
Important Seaports of India
Main Sea Routes of India
Main Land Routes of India
Main Air Routes of India
Major Imports of India
Major Exports of India.

Hands-on:

Skills You Will Learn:

18. General Knowledge "B": Current Events

Topics:

Important Happenings and Events in India
Important International Happenings and Events
Prominent Indian Personalities
Prominent International Personalities
Prominent Personalities in Culture and Arts
Prominent Sports Personalities
Indian Heritage and Culture
Military Exercises and Their Locations
Defence Deals and Partner Countries
Recent Wars and International Conflicts
Geographical Locations of Countries Involved in Wars
Important Appointments
Latest Sports Events in India and Abroad
Government of India Schemes
International Seminars and Their Venues
Important Days and Their Themes
Latest Books and Authors
National and International Awards and Ceremonies
Climate Change Summits
Seminars and Meetings
Important Infrastructure Projects (Tunnels
Bridges
Highways
etc.)
Constitutional Articles and Provisions in the News
Important Places in the News.

Hands-on:

Skills You Will Learn:

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Why enroll for NDA Foundation Course (Class 11 & 12) Sarvodaya Nagar,Kanpur ?

Unlock your potential with NDA Foundation Course (Class 11 & 12) Sarvodaya Nagar,Kanpur

Most Popular Certification

NDA Foundation Course (Class 11 & 12) Sarvodaya Nagar,Kanpur certification is rated as one of the most popular and lucrative cloud certifications in IT globally.

Growing Market

The global NDA Foundation Course (Class 11 & 12) Sarvodaya Nagar,Kanpur market size is expected to grow at a CAGR of 21.2% from 2024 to 2030.

High Salary Potential

The estimated total pay for an NDA Foundation Course (Class 11 & 12) Sarvodaya Nagar,Kanpur is ₹7,09,000 per year, with an average salary of ₹6,09,000 per year - Glassdoor.

Course Overview: NDA Foundation Course (Class 11 & 12) Sarvodaya Nagar,Kanpur

Essential details: objectives, prerequisites, schedule, and outcomes

Build a strong foundation in Mathematics, English, and General Ability while preparing students for both the NDA examination and Class 11 & 12 board exams. Develop leadership qualities, communication skills, physical fitness, and officer-like personality traits required for success in the SSB interview. Provide structured guidance, regular mock tests, expert mentorship, and performance evaluation to help students confidently pursue a career in the Indian Armed Forces.