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Sets
1.Sets
2.Types of sets
3.Subsets
4.intervals as Subsets of R
5.Venn diagrams 
6.Operations on sets 
7.Algebra of sets 
8.Applications of sets theory 

Relations and functions 
1.Cartesian product of sets
2.Relations
3.functions
4.Some real functions with their graphs 
5.Sum,Difference,product and quotient of functions 

Mathematics induction
1.Principle of mathematics induction

Matrices 
1.Introduction
2.Matrices
2.1 types of matrices
2.2 equality of matrices
3. Addition,subtraction and scalar multiplication of matrices
Syllabus : Precize Basic Mathematics MDC BA/BSC 1st Semester Panjab University Chandigarh

Max. Marks : 30
Time : 3 Hours

Note: 1. The syllabus has been split into two Units: Unit-I and Unit-II. Four questions will be set
from each Unit.
2. A student will be asked to attempt five questions selecting at least two questions from each
Unit. Each question will carry 6 marks.
 3. The teaching time shall be five periods (45 minutes each) per paper per week including
tutorial.
 4. If internal assessment is to be conducted in the form of written examinations, then there will
be only one written examination in a Semester

Unit-I
 Transformation of axes in two dimensions: Shifting of origin, rotation of axes, invariants.
Pair of Straight Lines :
Joint equation of pair of straight lines and angle between them, Condition of parallelism and
perpendicularity, Joint equation of the angle bisectors, Joint equation of lines joining origin to the
intersection of a line and a curve.
Circle :
General equation of circle, Circle through intersection of two lines, tangents, normals, chord of contact,
pole and polar, pair of tangents from a point, equation of chord in terms of mid-point, angle of intersection
and orthogonality, power of a point w.r.t. circle, radical axis, co-axial family of circles, limiting points.

Unit-II
Conic :
General equation of a conic, tangents, normals, chord of contact, pole and polar, pair of tangents from a
point, equation of chord in terms of mid-point, diameter. Conjugate diameters of ellipse and hyperbola,
special properties of parabola, ellipse and hyperbola, conjugate hyperbola, asymptotes of hyperbola,
rectangular hyperbola. Indentification of conic in general second degree equations.

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