what is the detailed and updated syllabus of comedk and uniguage combined exam?

S.No

Topic

Chapters

1.

Nuclear Chemistry

• Nature of Radiation from Radioactive Substances

• Nuclear Reactions: Radioactive Disintegration Series

• Artificial Transmutation of Elements

• Nuclear Fission and Nuclear Fusion

• Isotopes and their Applications

• Radio Carbon Dating

2.

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.

S. No

Topics

Chapters

1

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, Derivates of Order Upto Two.

• Applications of Derivatives: Rate of Change of Quantities, Monotonic Increasing and Decreasing Functions, Maxims and Minimum Functions of One Variable, Tangents and Normals, Rolle’s and Lagrange’s Mean Value Theorems.

2.

Circles

• Standard Form of Equation of a Circle

• General Form of 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 Conditions for a Line to be Tangent to the Circle

• Equation of the Tangent

• Equation of a Family of Circles through the Intersection of Two Circles

• Condition for Two Intersecting Circles to be Orthogonal.

3.

Matrices and Determinants

• Determinants and Matrices of Order Two and Three

• Properties of Determinants

• Evaluation of Determinants

• Area of Triangles Using Determinants

• Addition and Multiplication of Matrices

• Adjoint and Inverse of Matrix

• Test of Consistency and Solution of Similar Linear Equations using Determinants and Matrices.

4.

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

• Application of Vectors to Plane Geometry

5.

Differential Equations

• Differential Equations, Ordinary Differential Equation – 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 and those of type d2y = f(x) dx2.

6.

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, Equation of a Sphere, Its Centre and Radius.

• Diameter form of the Equation of a Sphere.

7.

Probability

• Probability of an Event

• 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.