Fourth Semester

Objective :

Ø  The students can understand the various concepts  related to the testing hypothesis  and   non- parametric methods.

Ø  Students will learn how to apply the five step procedure for a test of hypothesis concerning a population mean when the sample size is large & small.

Ø  Students will learn how to interpret the result of a test of hypothesis in the context of the original narrated situation.                                                                       

Course Outcomes:

At the End of this Course Students will be able to :

CO 1: Correctly formulate a decision rule for testing a hypothesis.

CO 2: Understand the difference between one- and two-tailed hypothesis tests.

CO 3:  Understand Type I and Type II errors

CO 4: Know how to use the test statistic, critical value, and p-value approaches to test a hypothesis.

CO 5 : Formulate null and alternative hypotheses for applications involving small sample and large sample tests.

CO 6 : Construct Most Powerful test using NP Lemma

CO 7 : Understand the advantages and disadvantages of Non-parametric tests (NPT)

CO 8 : Perform various one sample NPT such as test of randomness, Sign test , Signed Rank test  and Various two-sample tests such as Median test, Mann - Whitney U test, etc



Course Objective

1

To develop and understanding of the basic concepts of group theory and rings.

2

To encourage precision in the use of mathematical language, and to develop further the ability to understand and produce proofs in an algebraic context.

 

Course Outcomes

 

After  the completion of the course the student will be able to

CO1

An exposure of well defined operations and recognise the algebraic structures.

CO2

Use the subgroup criterion to prove that various subsets are subgroups of some given group

CO3

Decide whether a given group is cyclic, and given a finite cyclic group, find a generator for a subgroup of a given order

CO4

Understand the notions of homomorphism and isomorphism in groups

CO5

Understand the notion of normal subgroup and determine whether a given subgroup is normal

CO6

Identifying the set of axioms that define the algebraic structure of a ring

CO7

Understand the notion of ideal and determine whether a given subset of a ring is an ideal

CO8

Identifying the properties that determine that a mapping between rings is a homomorphism. Understand polynomial rings and their use to construct finite fields




OBJECTIVE OF THE COURSE:
  The objective of the course is to get an introduction to database management systems, with an emphasis on how to organize, maintain and retrieve information  from a DBMS efficiently and effectively .
COURSE OUTCOMES:  
By the end of the course, the student will be able to:

 CO 1 : Understand what a database system is and its fundamental elements.
 CO 2 : Understand the basic concepts of  relational data model and relational algebra.
 CO 3 : Design and build a simple database system.
 CO 4 : Write SQL command.
 CO 5 : Structure data using data models.
 CO 6 : Understand basic transaction processing concepts.
 CO 7: Apply various normalization techniques and thereby improving the database design.
 CO 8 : Gains awareness on  data Security, concurrency control and design data bases with ensured data integrity.