Amrita University is one of the best research universities in India, where a large number of students seem to be admitted. You can offer various courses to the candidates to make their future in their career.
Amrita University is a private university. We update candidates by providing comprehensive information about the AEEE, including syllabus, syllabus subtopics, exam template, etc.
AEEE Syllabus 2021
- 1 AEEE Syllabus 2021
- 2 Physics Syllabus
- 3 Mathematics Program
- 4 Linear inequalities
- 5 Permutation and combinations
- 6 Binomial theorem
- 7 Sequences and series
- 8 Matrices and determinants
- 9 Quadratic equations
- 10 Relationships and functions
- 11 Trigonometry
- 12 Measures of central tendency and dispersion
- 13 Probability
- 14 Differential calculations
- 15 Integral calculus
- 16 Differential equations
- 17 Two-dimensional geometry
- 18 The straight line and the pair of straight lines.
- 19 Circles and family of circles
- 20 Conical sections
- 21 Vector algebra
- 22 Three-dimensional geometry
Amrita Vishwa Vidyapeeth University offers various courses for candidates and those who have taken this exam should prepare the best for the exam using the program.
There are 3 programs for applicants: physics, chemistry, and mathematics, etc.
Units and dimensions
- Measurement units,
- The unit system,
- Straight line movement
- Vector resolution,
- Scalar and vector products
- Uniform circular motion and its applications.
- Projectile motion Newton’s laws of motion
- Conservation of linear momentum and its applications
- Laws of friction
- Work concept
- Energy and power
- Kinetic and potential energy
- Conservation of energy
Solids and Fluids
- Elastic properties
- Hooke’s law
- Young’s modulus
- Mass modulus
- Modulus of rigidity
- Cohesion and adhesion
- Surface energy and surface tension
- Fluid flow
- Bernoulli’s theorem and its applications
- Stoke’s Law
- Terminal velocity
Heat and thermodynamics
- Thermal expansion of solids
- Liquids and gases and their specific heats
- The relationship between Cp and Cv for gases
- First and second laws of thermodynamics.
- Carnot cycle
- The efficiency of heat engines.
- Heat transfer
- Thermal conductivity
- Blackbody radiation
- Kirchoff’s Law
- Wein’s law
Ray and wave optics Reflection and refraction of light on flat and curved surfaces
- Total internal reflection
- Optical fiber
- Deflection and scattering of light by a prism.
- Glass formula
- Magnification and resolving power
- Microscope and telescope
- Undulatory nature of light
- Young’s double experiment
- Thin films
- Newton rings
- Single-slit diffraction
- The diffraction grating
- Polarization and applications.
- Dual nature of radiation
- De Broglie relation
- Photoelectric effect
- Alpha particle scattering experiment
- Atomic masses
- Core size
- Alpha, beta, and gamma particles/rays
- Law of radioactive decay
- Half-life and half-life of radioactive nuclei
- Nuclear binding energy
- Mass-energy relationship
- Nuclear fission and nuclear fusion.
Chemistry study program
- Atomic and molecular masses
- Mole and molar mass concept
- Percentage composition
- Empirical and molecular formula
- Chemical reactions
- Stoichiometry and calculations based on stoichiometry.
Atomic structure, chemical bond, and molecular structure.
- The Bohr model
- The principles of De Broglie and Heisenberg
- Quantum mechanical model
- Orbital concept and electron filling
- Forming and bonding parameters
- Valence bond and molecular orbital theory
- VSEPR theory
- Hybridization involving s
Equilibrium and thermodynamics
- Chemical equilibrium law and equilibrium constant;
- Homogeneous and heterogeneous equilibria
- LeChatelier Principle
- Ion balance
- Salts and buffers
- Solubility product
Electrochemistry, kinetics, and surface chemistry
- The specific, molar, and equivalent conductance of strong and weak electrolytes
- Kohlrausch’s law
- Electrochemical cells and the Nernst equation
- Fuel cells and corrosion
- The speed of a reaction and factors that affect the speed.
- The rate constant, the order, and the molecule.
- Collision theory
- Physisorption and chemisorption
- Colloids and emulsions
- Homogeneous and heterogeneous catalysis.
- Solid-state and solutions
- Elements of block S
- Elements of block P
- Elements D, F-Block
- Coordination compounds
- Organic chemistry and basic techniques
- Hydrocarbons, haloalkanes, and haloarenes
- Alcohols, phenols, and ethers
- Aldehydes, ketones, carboxylic acids, and amines
- Polymers and biomolecules
- Environmental chemistry
- Chemistry in everyday life
Complex numbers in the form a + ib and their representation on a plane. Argand diagram.
Algebra of complex numbers, modulus and argument (or amplitude) of a complex number, square root of a complex number. Cube roots of unit, triangular inequality
Linear inequalities. Algebraic solutions of linear inequalities in a variable and their representation on the number line.
Permutation and combinations
A fundamental principle of counting; Permutation as arrangement and combination as selection, Meaning of P (n, r) and C (n, r) Simple applications.
Binomial theorem for positive integral indices. Pascal’s triangle. General and intermediate terms in binomial extensions, simple applications.
Sequences and series
Arithmetic, geometric and harmonic progressions. Insertion of arithmetic, geometric, and harmonic means between two given numbers.
The relationship between A.M., G.M. and H.M. Special series ∑n, ∑n 2, ∑n 3. Arithmetic-geometric, exponential, and logarithmic series.
Matrices and determinants
Determinants and matrices of order two and three, properties of determinants. Evaluation of determinants.
Matrix addition and multiplication, adjoint, and the inverse of the matrix. A solution of simultaneous linear equations using determinants.
Quadratic equations in a real and complex number system and their solutions.
The relationship between the roots and the coefficients, the nature of the roots, the formation of quadratic equations with given roots;
Relationships and functions
Definition of relationship. Domain, codomain, and rank of a relationship. It works as a special type of relationship and its domain, codomain, and range.
The real value function of a real variable. Constant, identity, polynomial, rational. Larger modulo, sign, and integer functions. Sum. The difference, the product, and the quotient of functions.
Types of relationships: reflexive, symmetric, transitive, and equivalence. One by one and on the functions. Compound functions, the inverse of a function.
Trigonometric equations and identities. Inverse trigonometric functions and their properties.
Properties of triangles, including centroid, incentive, circumcenter, and orthocenter, a solution of triangles. Heights and distances.
Measures of central tendency and dispersion
Calculation of the mean, median, and mode of grouped and non-grouped data. Calculation of standard deviation, variance, and mean deviation for grouped and non-grouped data.
The probability of an event, the probability theorems of addition and multiplication and their applications; The conditional probability; Bayes’ theorem, a probability distribution of a random variable; Binomial and Poisson distributions and their properties.
Polynomial, rational, trigonometric, logarithmic, and exponential functions. Simple function graphs. Limits, continuity; differentiation of the sum, the difference, the product, and the quotient of two functions.
Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite, and implicit functions; derivatives of order up to two.
Applications of derivatives: Maximum and Minimum of monovariable, tangent, and normal functions, Rolle and Langrage mean value theorems.
Comprehensive as anti-derivative. Fundamental integrals involving algebraic, trigonometric, exponential, and logarithmic functions. I
Integration by substitution, by parts, and by partial fractions. Integration through trigonometric identities.
Integral as limit of the sum. Definite properties of integrals. Evaluation of the definite integral
Determine the areas of the regions bounded by simple curves.
Ordinary differential equations, their order, and degree. Formation of the differential equation. Differential equations solutions by the method of separation of variables. Solution of linear and homogeneous differential equations, and those of 2 y / dx2 = f (x) typified.
Revision of the Cartesian system of rectangular coordinates in a plane, distance formula, area of a triangle, condition of collinearity of three points, slope of a line, parallel and perpendicular lines, intersection of a line in the coordinate axes.
The straight line and the pair of straight lines.
Different forms of equations of a line, intersection of lines, angles between two lines, conditions of competition of three lines, distance from a point to a line. Equations of internal and external bisectors of angles between two lines, equation of family lines that pass through the intersection point of two lines, homogeneous quadratic equation in x and y, the angle between a pair of lines that pass through the origin, combined equation of the bisectors of the angles between a pair of lines, conditions that the general quadratic equation represents a pair of lines, the point of intersection and the angles between two lines.
Circles and family of circles
The standard form of the equation of a circle, the general form of the equation of a circle, its radius, and center, the equation of a circle in parametric form, the equation of a circle when the extremes of a diameter are given, the points of intersection of a line and a circle with the center at the origin and the condition for a line to be tangent, equation of a family of circles that pass through the intersection of two circles, condition for two intersecting circles to be orthogonal.
Cone sections, conic section equations (parabola, ellipse, and hyperbola) in standard forms, conditions for y = MX + c as a tangent, and point (s) of tangency.
Vector and scalars, the sum of two vectors, components of a two-dimensional vector and three-dimensional space, point and vector products, triple scalar and vector product. Application of vectors to plane geometry.
The distance between two points. Directional cosines of a line joining two points. Cartesian and vector equation of a line. Coplanar and oblique lines. The shortest distance between two lines.
Cartesian and vector equation of a plane. The angle between (i) two lines (ii) two planes (iii) a line and a plane Distance from a point to a plane.