COMEDK are the exams organised for the engineering entrance. These tests are to provide admission to candidates in various universities, institutions etc. these exams are or the entrance tests in Karnataka. COMEDK stands for ‘Consortium of Medical, Engineering and Dental Colleges of Karnataka’. These provide admission to candidates in B.S./MBBS/B.D.S etc. the subjects involved in this exam are physics, chemistry, Mathematics. Following is the detailed syllabus for the exam. COMEDK also grants entrance to B.Arch Programmes, however, no test is conducted for the same.
Physics: The important topics from this section are-
Motion in one dimension: Description of Motion in One Dimension Motion in a straight line, uniform and non-uniform motion & graphical representation, uniformly accelerated motion application
Heat and Thermodynamics: Thermal expansion of solids, liquids and gases- specific heats, thermodynamic processes, first and second law of thermodynamics, Carnot cycle efficiency of heat engines, Relationship between Cp and Cv for gases.
Oscillations: Ssimple harmonic motion and its equation of motion, Periodic motion, energy in S.H.M., Oscillations of a spring and simple pendulum
Motion in two and three dimensions: Scalars and vectors, Resolution of vectors, vector addition, zero vector- properties, a real number Scalar and vector products, uniform circular motion- applications projectile motion
Thermal and Chemical Effects of Currents: Heating effects of current, electric power Chemical effect of current-Faraday’s laws of electrolysis , simple concept of thermo-electricity See back effect and thermocouple
Electrostatics: Electric charge- unit and conservation, Coulomb’s law, dielectric constant, electric field, lines of force, electric flux, Gauss’s theorem- applications. Conductors and insulators, distribution of charge on conductors. Capacitance, parallel plate capacitor, Electric potential, potential due to a point charge combination of capacitors, energy of capacitor, field due to dipole and its behaviour in a uniform electric field
Chemistry: The topics included under Chemistry are-
Coordination Chemistry: Nomenclature: Isomerism in coordination compounds, Coordination compounds, Bonding in coordination compounds, Werner’s coordination theory- Applications.
Chemical Reactions and Chemical Kinetics: Rate of reaction, Instantaneous rate of reaction and order of reaction. Factors affecting rates of reactions- factors affecting rate of collisions encountered between the reactant molecules, effect of temperature on the reaction rate, concept of activation energy catalyst. Effect of light of rates of reactions. Elementary reactions as steps to more complex reactions, Rate law expression. Order of a reaction, Units of rates and specific rate constant, Order of reaction and effect of concentration, Temperature dependence of rate constant – Fast reactions (only elementary idea). Mechanism of reaction (only elementary idea). Photochemical reactions.
Chemistry in Action: Dyes, Chemicals in medicines (antibiotics, antipyretic, analgesic & tranquilisers), Rocket propellants (Structural formulae non-evaluative).
Environmental Chemistry: Environmental pollutants; soil, water and air pollution; industrial air pollution major atmospheric pollutants; acid rain, Ozone and its reactions causing ozone layer depletion, effects of the depletion of ozone layer.
Polymers: Synthetic and Natural Polymers classification; important uses of the Teflon, PVC, Polystyrene, Nylon-66, Bakelite, Terylene
Biomolecules: Proteins and Enzymes-Structure of Proteins, Role of enzymes, cell and Energy Cycle Carbohydrates: Monosaccharides, Disaccharides; Structure and classification -Polysaccharides Amino acids and Peptides
Nuclear Chemistry: Nuclear fission and Nuclear fusion: Isotopes and their applications: Radio carbon-dating; Nature of radiation from radioactive substances. Nuclear reactions; radioactive disintegration series; Artificial transmutation of elements;
Maths: This section will include the topics-
Three Dimensional Geometry: Equations of a line and a plane in different forms; intersection of a line and a plane, coplanar lines, equation of a sphere, its centre and radius. Diameter form of the equation of a sphere; 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.
Circles: Standard and circular form of equation of a circle, its radius and centre, equation of a circle in the parametric form, points of intersection of a line and a circle with the centre at the origin and conditions for a line to be tangent to the circle, length of the tangent, equation of the tangent, equation of a family of circles through the intersection of two circles, condition for two intersecting circles to be orthogonal
Differential equations: Differential Equations Ordinary differential equations, their order and degree. Formation, Solution by the method of separation of variables. Solution of homogeneous and linear differential equations, and those of the type d2y = f(x) dx2,
Integral calculus: Integration by substitution, by parts and partial fractions. Integration using trigonometric identities, Integral as an anti-derivative. Fundamental integrals involving algebraic, trigonometric, exponential and logarithmic functions. Integral as limit of a sum. Properties of definite integrals. Evaluation of definite integrals, determining areas of the regions bounded by simple curves.
Vector Algebra: Vectors and Scalars, scalar and vector products, addition of vectors, components of a vector in two and three dimensional space, scalar and vector triple product. Application of vectors to plane geometry.
Probability: Probability ,addition and multiplication theorems of probability and their application; Conditional probability; Bayes’ Theorem, probability distribution of a random variate; Binomial and Poisson distributions and their properties.
Matrices and determinants: Addition and multiplication of matrices, adjoint and inverse of matrix. Determinants and matrices of order two and three, properties of determinants, Evaluation of determinants. Area of triangles using determinants; Test of consistency and solution of simultaneous linear equations using determinants and matrices.
Differential Calculus: Polynomials, rational, trigonometric, logarithmic and exponential functions, Inverse functions. Graphs of simple functions. Limits, Continuity; 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. Applications of derivatives: Rate of change of quantities, monotonic increasing and decreasing functions, Maxima and minima of functions of one variable, tangents and normals, Rolle’s and Lagrange’s Mean Value Theorems.