Science

The KEAM Maths syllabus is as follows: Unit 1: Algebra Sets Relations and Functions Complex Numbers, Quadratic Equations, Sequences and Series, Permutations, Combinations, Binomial Theorem and Mathematical Induction, Matrices and Determinants Linear Inequations, Mathematical Logic and Boolean Algebra Unit 2: Trigonometry Degree measures and Radian measure of positive and negative angles; the relation between degree measure and radian measure, definition of trigonometric functions with the help of a unit circle, periodic functions, the concept of periodicity of trigonometric functions, value of trigonometric functions of x trigonometric functions of sum and difference of numbers. Conditional identities for the angles of a Triangle solution o ftrigonometric equations of the type Sinx= Sina;Cos x= Cos a; Tanx= Tana and equations reducible to these forms. Inverse Trigonometric Functions Simple problems Graph of the following trigonometric functions;y = Sinx;y=Cos x;y=Tanx;y=aSinx ;y = aCos x, y =asian bx;y=aCos bx. Unit 3: Geometry, Cartesian System of Rectangular Co-ordinates, Lines and Family of lines, Circles and Family of circles, Conic Sections Vectors, Three Dimensional Geometry Unit 4: Statistics and Probability Mean deviation for ungrouped data, variance for grouped an ungrouped data, standard deviation. Random experiments and sample space, Events as subset of a sample space, occurrence of an event, sure and impossible events, Exhaustive events, Algebra of events, Meaning of equality likely outcomes, mutually exclusive events. Probability of an event; Theorems on Probability Addition rule, Multiplication rule, Independent experiments and events. Finding P (A or BPA and B), random variables, Probability distribution of a random variable. Unit 5: Calculus, Functions, Limits andcontinuity, Differentiation Application of Derivatives, Indefinite Integrals Definite Integrals Differential Equations.