GOVERNMENT OF KERALA 2011OFFICE OF THE COMMISSIONER FOR ENTRANCE EXAMINATIONS
5th FLOOR, HOUSING BOARD BUILDINGS, SANTHI NAGAR
THIRUVANANTHAPURAM – 695 001
Phone: 0471 - 2332120, 2338487
www.cee-kerala.org
KEAM – 2011
1. Sale of Application Forms through selected Post Offices : From 19.01.2011 (Wednesday)
2. Last date for sale of Application Form : 14.02.2011 (Monday)
3. Last date for receipt of Application Form : 14.02.2011, 5 pm (Monday)
4. Date of despatch of Admit Card : 24.03.2011 (Thursday)
5. Date & Time of Entrance Examination :
Engineering : Physics & Chemistry (P-I) : 18.04.2011, 10 am to 12.30 pm
Mathematics (P-II) : 19.04.2011, 10 am to 12.30 pm
Medical : Chemistry & Physics (P-I) : 20.04.2011, 10 am to 12.30 pm
Biology (P-II) : 20.04.2011, 2 pm to 4.30 pm
6. Centre of Examination : As indicated in the Admit Card
SYLLABUS FOR THE ENTRANCE EXAMINATIONS, 2011
MATHEMATICS
UNIT I: ALGEBRA
SETS, RELATIONS AND FUNCTIONS
Sets and their Representations: Finite and Infinite sets; Empty set; Equal sets; Subsets; Power set; Universal set; Venn Diagrams; Complement of a set; Operations on Sets (Union, Intersection and Difference of Set); Applications of sets: Ordered Pairs, Cartesian Product of Two sets; Relations: Domain, Co-domain and Range: Functions: into, on to, one - one in to, one-one on to Functions; Constant Function; Identity Function; composition of Functions; Invertible Functions; Binary Operations.
Complex Numbers
Complex Numbers in the form a + i b ; Real and Imaginary Parts of a complex Number; Complex Conjugate, Argand Diagram, Representation of Complex Number as a point in the plane; Modulus and Argument of a Complex Number; Algebra of Complex Numbers; Triangle Inequality; Ζ1 + Ζ2 ≤ Ζ1 + Ζ2 ; Ζ1.Ζ2 = Ζ1 Ζ2 ; Polar Representation of a Complex Number.
Quadratic Equations
Solution of a Quadratic Equation in the Complex Number System by (i) Factorization (ii) Using Formula; Relation between Roots and Coefficients; Nature of Roots; Formation of Quadratic Equations with given Roots; Equations Reducible to Quadratic Forms.
Sequences and Series
Sequence and Examples of Finite and Infinite Sequences; Arithmetic Progression (A..P): First Term, Common Difference, nth Term and sum of n terms of an A.P.; Arithmetic Mean (A.M); Insertion of Arithmetic Means between any Two given Numbers; Geometric Progression (G.P): first Term, Common Ratio and nth term, Sum to n Terms, Geometric Mean (G.M); Insertion of Geometric Means between any two given Numbers.
Permutations, Combinations, Binomial Theorem and Mathematical Induction
Fundamental Principle of Counting; The Factorial Notation; Permutation as an Arrangement; Meaning of P(n, r); Combination: Meaning of C(n,r); Applications of Permutations and Combinations. Statement of Binomial Theorem; Proof of Binomial Theorem for positive integral Exponent using Principle of Mathematical Induction and also by combinatorial Method; General and Middle Terms in Binomial Expansions; Properties of Binomial Coefficients; Binomial Theorem for any Index (without proof); Application of Binomial Theorem. The Principle of Mathematical Induction, simple Applications.
Matrices and Determinants
Concept of a Matrix; Types of Matrices; Equality of Matrices (only real entries may be considered): Operations of Addition, Scalar Multiplication and Multiplication of Matrices; Statement of Important Results on operations of Matrices and their Verifications by Numerical Problem only; Determinant of a Square Matrix; Minors and Cofactors; singular and non-singular Matrices; Applications of Determinants in (i) finding the Area of a Triangle (ii) solving a system of Linear Equations (Cramer’s Rule); Transpose, Adjoint and Inverse of a Matrix; Consistency and Inconsistency of a system of Linear Equations; Solving System of Linear Equations in Two or Three variables using Inverse of a Matrix (only up to 3X3 Determinants and Matrices should be considered).
Linear Inequations
Solutions of Linear Inequation in one variable and its Graphical Representation; solution of system of Linear Inequations in one variable; Graphical solutions of Linear inequations in two variables; solutions of system of Linear Inequations in two variables.
Mathematical Logic and Boolean Algebra
Statements; use of Venn Diagram in Logic; Negation Operation; Basic Logical Connectives and Compound Statements including their Negations.
UNIT II : TRIGONOMETRY
Trigonometric functions and Inverse Trigonometric functions Degree measures and Radian measure of positive and negative angles; relation between degree measure and radian measure, definition of trigonometric functions with the help of a unit circle, periodic functions, concept of periodicity of trigonom etric functions, value of trigonometric functions of x for
For details on syllabus visit http://www.cee-kerala.org/docs/keam2011/prospectus2011.pdf (page no 47)
For details on syllabus visit http://www.cee-kerala.org/docs/keam2011/prospectus2011.pdf (page no 47)
About us
The Office of the Commissioner for Entrance Examinations was established in 1983 as a separate set up for the conduct of Entrance Examinations for admission to Professional Courses in the State as per G.O.(Ms) No.31/83/H.Edn. dated 19.02.1983. The Higher Education Department in the Secretariat is functioning as the administrative department of the Commisionerate of Entrance Examinations. The Commissionerate has been conducting thirteen Entrance Examinations, both for Undergraduate and Post Graduate Professional Courses. Of these examinations conducted in a time bound manner and catering to the needs of the aspirants of Professional Courses, the Kerala Engineering Agricultural Medical Entrance Examinations (KEAM) is the major one in which near about one lakh twenty five thousand candidates participate every year. The other courses for which the CEE conducts Entrance Examinations are Three year LLB, Five Year LLB, LLM, MCA, M Pharm, MD Homoeo, MDS, MD Ayurveda, M Sc Nursing, PG Medical and PG Super Speciality.
Tags: KEAM 2011 Syllabus Mathematics Download Exam Paper Date Form entrance examination exam pattern date forms download application form eligibility prospectus download KEAM 2011 notification KEAM 2011 admission form download admission dates KEAM 2011 date keam date
No comments:
Post a Comment