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Here you will find __ NDA__ Mathematics Syllabus 2023.

**Paper-I Mathematics (Maximum Marks - 300)**

1Algebra : Concept of a set, operations on sets, Venn diagrams. De Morgan laws. Cartesian product, relation, equivalence relation. Representation of real numbers on a line. Complex numbers - basic properties, modulus, argument, cube roots of unity. Binary system of numbers. Conversion of a number in decimal system to binary system and vice-versa. Arithmetic, Geometric and Harmonic progressions. Quadratic equations with real coefficients. Solution of linear inequations of two variables by graphs. Permutation and Combination. Binomial theorem and its application. Logarithms and their applications.

2.Matrices and Determinants: Types of matrices, operations on matrices Determinant of a matrix, basic properties of determinant. Adjoint and inverse of a square matrix, Applications - Solution of a system of linear equations in two or three unknowns by Cramer's rule and by Matrix Method.

3.Trigonometry: Angles and their measures in degrees and in radians. Trigonometrical ratios. Trigonometric identities Sum and difference formulae. Multiple and Sub-multiple angles. Inverse trigonometric functions. Applications - Height and distance, properties of triangles.

4.Analytical Geometry of two and three dimensions: 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 in 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.

5.Differential Calculus: 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 a function at a point, geometrical and physical interpreatation of a derivative - applications. Derivatives of sum, product and quotient of functions, derivative of a function with respect of another function, derivative of a composite function. Second order derivatives. Increasing and decreasing functions. Application of derivatives in problems of maxima and minima.

6.Integral Calculus and Differential equations: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 - examples. Application in problems of growth and decay.

7. Vector Algebra :Vectors in two and three dimensions, magnitude and direction of a vector. Unit and null vectors, addition of vectors, scalar multiplication of vector, scalar product or dot product of two-vectors. Vector product and cross product of two vectors. Applications-work done by a force and moment of a force, and in geometrical problems.

8.Statistics and Probability :

Statistics: 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.

Probability : 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 giving rise to Binominal distribution.

Galgotias College of Engineering and Technology in Noida is considered as one of the leading technical training institutes in the state of Uttar Pradesh.

Galgotias College of Engineering and Technology (GCET) Courses Offered

**Address :**1, Knowledge Park, Phase II, Greater Noida - 201306, Uttar Pradesh, Ph : 0120-4513800, 2326874 Fax : 0120-2320282, 4513888, 4513880

Indraprastha Institute of Technology and Management (IITM) in Delhi was founded in the year 2002.

Indraprastha Institute of Technology and Management (IITM) Delhi Courses Offered

**Address :**D Block, Institutional Area, Janakpuri New Delhi - 110058 Ph : 9312727273, 4, 5, 6, 011 - 28524043 Email : director@iitm.net.in

Jawaharlal Nehru Technological University in Hyderabad is a university that was founded by the Government of Andhra Pradesh in the year 1965.

Jawaharlal Nehru Technological University Hyderabad Courses Offered

**Address :**Kukatpally, Hyderabad, Andhra Pradesh 500085, India Ph : 040 2305 7074

Kongu Engineering College is a one of the prominent self financing technical institutes in Tamil Nadu that was founded by Kongu Vellalar Institute of Technology Trust in the year 1983.

Kongu Engineering College Erode Courses Offered

**Address :**Perundurai, Erode, Tamil Nadu, India Ph : 04294 - 220583 Email: principal@kongu.ac.in

Kristu Jayanti College of Management & Technology, Bangalore is a higher educational institute that was set in the year 1999 by Bodhi Niketan Trust, which was formed by St.

Kristu Jayanti College of Management and Technology Bangalore Courses Offered

**Address :**K. Narayanapura, Kothanur (Post) Bangalore – 560077, Karnataka, India Tel. 080-28465611/28465770/28465353 Fax. 080-28445161 e-mail : info@kristujayanti.com

Lingaya’s Institute of Management & Technology (LIMAT) was established in the year 1998 in the remembrance of great freedom fighter Late Shri Gadde Lingaya.

Lingayas University Courses Offered

**Address :**Campus:Nachauli, Old Faridabad, Faridabad, Haryana, India Contact No : 0129-2201008,2201009 Email: lu@lingayasuniversity.edu.in

Lovely Professional University is a private university that was set up by Late Shri Baldev Raj Mittal.

Lovely Professional University Jalandhar Courses Offered

**Address :**Jalandhar-Ludhiana G.T Road (NH1) Phagwara Jalandhar Punjab India Pin Code : 144402

MS Ramaiah Institute of Technology is located in Bangalore in Karnataka.

M S Ramaiah Institute of Technology Bangalore Courses Offered

**Address :**Jnanasangama Machhe, Khanapur Road, Khanapur Road, Belgaum, Karnataka 590014, India Ph : 0831 2405458

Mepco Schlenk Engineering College in Sivakasi, Tamil Nadu is a self financed technical institute, established in the year 1984 under the guidance of Mepco Schlenk Charities.

Mepco Schlenk Engineering College Sivakasi Courses Offered

**Address :**Sivakasi Mepco Engineering College (PO) - 626 005 Ph : 04562 - 235000(30 Lines) Fax : 04562 - 235111 E-Mail : principal@mepcoeng.ac.in