Syllabus for CET Exam Punjab University

I am interested to get into the PG course of the Punjab University that is why I applied for the CET (PG) exam of the university. Please give me Punjab University CET PG 2015 exam syllabus so I can prepare for the exam accordingly? I am grateful to you.

Can you provide me the syllabus of Panjab University Common Entrance Test (PU-CET) for admission in PG (Post Graduation) Courses in the University?

[pooja]

The syllabus of Panjab University Common Entrance Test (PU-CET) for admission in PG (Post Graduation) Courses in the University is as follows:

PU CET Maths Syllabus

Unit I :
I. Sets and Functions
1. Sets: Sets and their representations, Empty set. Finite & Infinite sets, Equal sets, Subsets of the set of real numbers especially intervals (with notations) Power set Universal set. Venn diagrams, Union and Intersection of sets. Difference of sets, Complement of a set Properties of complement sets

2. Relations and Functions : Ordered pairs, Cartesian product of sets, Number of elements in the Cartesian product of two finite sets. Cartesian product of the reals with itself ( upto R x R x R ). Definition of relation, pictorial diagrams, domain Codomain and range of a relation Function as a special kind of relation from one set to another. Pictorial representation of a function, domain, co domain & range of a function Real valued function of the real variable, domain and range of these functions, constant, identity, polynomial, rational, modulus, signum and greatest integer functions with their graphs. Sum, difference, product and quotients of functions


3. Trigonometric Functions: Positive and negative angles. Measuring angles in radians & in degrees and conversion from one measure to another Definition of trigonometric functions with the help of unit circle Truth of the identity sin2 x + cos2 x = 1, for all x. Signs of trigonometric functions. Domain and range of trigonometric functions and their graphs Expressing sin (x+y) and cos (x+y) in terms of sinx, siny, cosx & cosy Deducing the identities like following :+ Identities related to sin 2x, cos2x, tan 2x, sin3x, cos3x and tan 3x. General solution of trigonometric equations of the type sin θ = sin α, cos θ = cos α and tan θ = tan α. Proof and simple applications of sine and cosine formulae.

II. Algebra
1. Principle of Mathematical Induction: Processes of the proof by induction, motivating the application of the method by looking at natural numbers as the least inductive subset of real numbers. The principle of mathematical induction and simple applications


2. Complex Numbers and Quadratic Equations: Need for complex numbers, especially √−1, to be motivated by inability to solve every quadratic equation. Brief description of algebraic properties of complex numbers Argand plane and polar representation of complex numbers Statement of Fundamental Theorem of Algebra, solution of quadratic equations in the complex number system


3. Linear Inequalities: Linear inequalities. Algebraic solutions of linear inequalities in one variable and their representation on the number line Graphical solution of linear inequalities in two variables Solution of system of linear inequalities in two variables


4. Permutations and Combinations: Fundamental principle of counting, Factorial n. ( n! ) Permutation and combinations, derivation of formulae and their connections, simple applications


5. Binomial Theorem : History, statement and proof of the binomial theorem for positive integral indices, Pascals triangle, general and middle term in binomial expansion, simple applications.


6. Sequences and Series: Sequence and Series. Arithmetic progression (A. P) arithmetic mean ( A.M. ) Geometric progression G.P., general term of a G.P., sum of n terms of a G.P., geometric mean ( G.M. ), relation between A.M. and G.M. Sum to n terms of the special series