1.
Department of Mathematics
Lovely Professional University
Phagwara, Punjab
Dr. Vipin Verma

2.
Contents
 Course Details
 Course Objectives
 Text / Reference Books
 Course Assessment Model
 Course Contents
 Learning Outcomes

3.
Course Details
Course Credits
L-T-P : 3-0-0

4.
Course Objectives
 Practice all the mathematical theories and concepts
important for a computer science engineer.
 Identify the utility of mathematics in higher studies.
 Score good marks in higher studies related competitive
exam like GATE..
 Evaluate different mathematical theories related to
Discrete Mathematics, Linear Algebra, Calculus, and
Probability.

5.
Books
Text Book
 DISCRETE MATHEMATICS AND ITS APPLICATIONS WITH
COMBINATORICS AND GRAPH THEORY by KENNETH H.
ROSEN, Mc Graw Hill Education
 ADVANCED ENGINEERING MATHEMATICS by R K JAIN,
NAROSA PUBLISHING HOUSE
Reference Books
 ENGINEERING MATHEMATICS II by T VEERARAJAN, Mc
Graw Hill Education
 FUNDAMENTALS OF MATHEMATICAL STATISTICS by
GUPTA S.C. , KAPOOR V.K., SULTAN CHAND & SONS (P)
LTD.

6.
Course Assessment Model
 Attendance
 CA (Best two out of three tests) : MCQ
 MTE : MCQ
 ETE : MCQ

7.
Course Contents
 Discrete Mathematics : propositional logic, first order logic, sets,
relations, functions, partial orders, lattices, groups
 Graphs : connectivity, matching, coloring Combinatorics :
counting, recurrence relations, generating functions
 Linear Algebra : matrices, determinants, system of linear
equations, eigenvalues, eigenvectors, LU decomposition
 Calculus : limits, continuity, differentiability, maxima and
minima, mean value theorem, integration
 Probability : random variables, uniform, normal, exponential,
Poisson and binomial distributions, mean, median, mode,
standard deviation, conditional probability, Bayes theorem
 Numerical Ability : numerical computation, numerical
estimation, numerical reasoning, data interpretation

8.
Learning Outcomes
On successful completion of the course, the students
should be able to:
 Understand the Relations and their properties,
Equivalence relations, Partial ordering relations,
Lattice, Sub lattice
 Understand and able to apply the concepts of Graph
theory in real life application
 Understand and able to apply the concepts of Matrices
 Understand and able to apply the concepts of
probability distribution.

9.
A set is an unordered collection of objects, called
elements or members of the set.
A set is said to contain its elements. We write a ∈ A to
denote that a is an element of the set A. The notation a ∈
A denotes that a is not an element of the set A.

10.
 Q 1 If A and B are sets and A∪ B= A ∩ B, then
 A. A = Φ
 B. B = Φ
 C. A = B
 D. none of these

11.
 Q2. If X and Y are two sets, then the compliment of
 X ∩ (Y ∪ X) equals
 A. X
 B. Y
 C. Ø
 D. None of these

12.
Thank You