NDA 2020 Syllabus

Algebra

1. Sets and Operations
2. Venn Diagrams
3. De Morgan Laws
4. Arithmetic and Geometry
5. Permutations and Combinations
6. Harmonic Progressions
7. Linear and Quadratic Equations
8. Modulus and Cube Root of Unity

         Matrices

1. Matrices and Operations
2. Adjoint and Inverse
3. Cramer's Rule and Matrix Method
4. Basic Properties of Determinants
5. Types of Matrices
6. Theory on Matrices and Determinants
7. Applications of Matrices and Determinants

Trigonometry

1. Angles and their measures in degrees and radians
2. Trigonometrical ratios
3. Sum and Difference Formulae
4. Multiple and Sub Multiple Angles
5. Inverse Trigonometric functions
6. Triangle Properties

Analytical Geometry in Two and Three Dimensions

1. Cartesian Coordinate Systems
2. Line Equation across various forms
3. Equations of a circle in standard and general form
4. Angle between two lines
5. Angle between two planes
6. Equations of Spheres

Calculus

1. Real-Valued Function - Domain, Range and Graph of a function
2. Standard Limit
3. Derivative of functions 
4. Derivatives of sum, product and quotients
5. Derivatives of one function with respect to the other
6. Application of derivatives for Maxima and Minima

Integral and Differential Calculus

1. Integration and Differentiation
2. Integration by substitution in Parts
3. Algebraic Expressions, Trigonometric, Exponential and Hyperbolic Functions
4. Evaluation of Definite Integrals
5. General and Particular Solution of Differential Equation
6. Problems pertaining to Growth and Decay

1. Vectors in two and three directions
2. Unit and Null Vectors
3. Vector Product
4. Cross Product
5. Applications using Force in Geometry

Statistics and Probability

1. Determination of Frequency and Cumulative Frequency
2. Graphical Representations and their Applications
3. Mean, Median and Mode
4. Variance Analysis and Standard Deviation
5. Correlation and Regression Factor Analysis