#2
 
 
Re: All India Entrance Examination For Engineering
You are looking for the All India Entrance Examination For Engineering syllabus i am providing here: AIEEE Syllabus: MATHEMATICS Go to Top Menu UNIT 1: SETS, RELATIONS AND FUNCTIONS: Sets and their representation; Union, intersection and complement of sets and their algebraic properties; Power set; Relation, Types of relations, equivalence relations, functions;. oneone, into and onto functions, composition of functions. UNIT 2: COMPLEX NUMBERS AND QUADRATIC EQUATIONS: Complex numbers as ordered pairs of reals, Representation of complex numbers in the form a+ib and their representation in a plane, Argand diagram, algebra of complex numbers, modulus and argument (or amplitude) of a complex number, square root of a complex number, triangle inequality, Quadratic equations in real and complex number system and their solutions. Relation between roots and coefficients, nature of roots, formation of quadratic equations with given roots. UNIT 3: MATRICES AND DETERMINANTS: Matrices, algebra of matrices, types of matrices, determinants and matrices of order two and three. Properties of determinants, evaluation of determinants, area of triangles using determinants. Adjoint and evaluation of inverse of a square matrix using determinants and elementary transformations, Test of consistency and solution of simultaneous linear equations in two or three variables using determinants and matrices. UNIT 4: PERMUTATIONS AND COMBINATIONS: Fundamental principle of counting, permutation as an arrangement and combination as selection, Meaning of P (n,r) and C (n,r), simple applications. UNIT 5: MATHEMATICAL INDUCTION: Principle of Mathematical Induction and its simple applications. UNIT 6: BINOMIAL THEOREM AND ITS SIMPLE APPLICATIONS: Binomial theorem for a positive integral index, general term and middle term, properties of Binomial coefficients and simple applications. UNIT 7: SEQUENCES AND SERIES: Arithmetic and Geometric progressions, insertion of arithmetic, geometric means between two given numbers. Relation between A.M. and G.M. Sum upto n terms of special series: Sn, Sn2, Sn3. Arithmetico  Geometric progression. UNIT 8: LIMIT, CONTINUITY AND DIFFERENTIABILITY: Real  valued functions, algebra of functions, polynomials, rational, trigonometric, logarithmic and exponential functions, inverse functions. Graphs of simple functions. Limits, continuity and differentiability. Differentiation of the sum, difference, product and quotient of two functions. Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions; derivatives of order upto two. Rolle’s and Lagrange’s Mean Value Theorems. Applications of derivatives: Rate of change of quantities, monotonic  increasing and decreasing functions, Maxima and minima of functions of one variable, tangents and normals. UNIT 9: INTEGRAL CALCULUS: Integral as an anti  derivative. Fundamental integrals involving algebraic, trigonometric, exponential and logarithmic functions. Integration by substitution, by parts and by partial fractions. Integration using trigonometric identities. Evaluation of simple integrals of the type Integral as limit of a sum. Fundamental Theorem of Calculus. Properties of definite integrals. Evaluation of definite integrals, determining areas of the regions bounded by simple curves in standard form. UNIT 10: DIFFERENTIAL EQUATIONS: Ordinary differential equations, their order and degree. Formation of differential equations. Solution of differential equations by the method of separation of variables, solution of homogeneous and linear differential equations of the type: dy  + p (x) y = q (x) dx UNIT 11: COORDINATE GEOMETRY: Cartesian system of rectangular coordinates in a plane, distance formula, section formula, locus and its equation, translation of axes, slope of a line, parallel and perpendicular lines, intercepts of a line on the coordinate axes. Straight lines Various forms of equations of a line, intersection of lines, angles between two lines, conditions for concurrence of three lines, distance of a point from a line, equations of internal and external bisectors of angles between two lines, coordinates of centroid, orthocentre and circumcentre of a triangle, equation of family of lines passing through the point of intersection of two lines. Circles, conic sections Standard form of equation of a circle, general form of the equation of a circle, its radius and centre, equation of a circle when the end points of a diameter are given, points of intersection of a line and a circle with the centre at the origin and condition for a line to be tangent to a circle, equation of the tangent. Sections of cones, equations of conic sections (parabola, ellipse and hyperbola) in standard forms, condition for y = mx + c to be a tangent and point (s) of tangency. UNIT 12: THREE DIMENSIONAL GEOMETRY: Coordinates of a point in space, distance between two points, section formula, direction ratios and direction cosines, angle between two intersecting lines. Skew lines, the shortest distance between them and its equation. Equations of a line and a plane in different forms, intersection of a line and a plane, coplanar lines. UNIT 13: VECTOR ALGEBRA: Vectors and scalars, addition of vectors, components of a vector in two dimensions and three dimensional space, scalar and vector products, scalar and vector triple product. UNIT 14: STATISTICS AND PROBABILITY: Measures of Dispersion: Calculation of mean, median, mode of grouped and ungrouped data. Calculation of standard deviation, variance and mean deviation for grouped and ungrouped data. Probability: Probability of an event, addition and multiplication theorems of probability, Baye’s theorem, probability distribution of a random variate, Bernoulli trials and Binomial distribution. UNIT 15: TRIGONOMETRY: Trigonometrical identities and equations. Trigonometrical functions. Inverse trigonometrical functions and their properties. Heights and Distances. UNIT 16: MATHEMATICAL REASONING: Statements, logical operations and, or, implies, implied by, if and only if. Understanding of tautology, contradiction, converse and contrapositive. For more detailed syllabus here is word file attachment: 
Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Amity Engineering Entrance Examination  manoj dutta  Main Forum  2  31st March 2018 09:19 AM 
Online Application for All India Engineering Entrance Examination  Unregistered  Main Forum  1  28th June 2017 03:27 PM 
All India Common Entrance Examination For Design  Unregistered  Main Forum  1  25th October 2016 12:55 PM 
Delhi Combined Engineering Entrance Examination  Unregistered  Main Forum  1  27th September 2016 10:20 AM 
All Engineering Entrance Examinations in India  Unregistered  Main Forum  0  18th July 2015 09:35 AM 
All India Engineering Entrance Exam (AIEEE)  Unregistered  Main Forum  0  17th July 2015 12:09 PM 
CBSE  All India Engineering / Architecture Entrance Examination  Unregistered  Main Forum  0  16th July 2015 10:59 AM 
All India Engineering Architecture Entrance Examination Result  Unregistered  Main Forum  0  15th July 2015 12:39 PM 
All India Common Entrance Examination AICEE  Unregistered  Main Forum  0  15th July 2015 12:00 PM 
All India Sainik School Entrance Examination Sample Papers  Unregistered  Main Forum  0  15th July 2015 09:56 AM 
Vellore institute of technology engineering entrance examination VITEEE  Unregistered  Main Forum  0  13th July 2015 03:44 PM 
All India Engineering Entrance Examination Application  Unregistered  Main Forum  0  11th July 2015 04:31 PM 
CBSE  All India Engineering / Architecture Entrance Examination  Unregistered  Main Forum  0  9th July 2015 10:18 AM 
West Bengal Engineering Entrance Examination  Dbheru1  Main Forum  1  29th January 2013 01:50 PM 
All India Entrance Examination for Admission to MD/MS/PG Diploma & MDS courses result  amanjha.a  Main Forum  1  4th October 2012 02:27 PM 
Entrance Examination in India for 10+2  Savitaben Bhalabhai 1  Main Forum  1  5th September 2012 10:08 AM 
SRM engineering entrance examination  Madhu kumawat  Main Forum  1  18th August 2012 09:57 PM 
Orissa Engineering Entrance Examination  farhan_  Main Forum  1  20th July 2012 05:46 PM 
Amrita Engineering Entrance Examination  sulekha:  Main Forum  1  28th June 2012 04:50 PM 
SRM Engineering Entrance Examination SRMEEE Admissions  deepaksingh  Main Forum  1  23rd June 2012 04:26 PM 
Thread Tools  Search this Thread 
