ITC401: Applied Mathematics-IV Syllabus for IT 4th Sem 2017 Pattern Mumbai University

Applied Mathematics-IV detailed syllabus scheme for Information Technology (IT), 2017 regulation has been taken from the University of Mumbai official website and presented for the Bachelor of Engineering students. For Course Code, Course Title, Test 1, Test 2, Avg, End Sem Exam, Team Work, Practical, Oral, Total, and other information, do visit full semester subjects post given below.

For all other Mumbai University Information Technology 4th Sem Syllabus 2017 Pattern, do visit IT 4th Sem 2017 Pattern Scheme. The detailed syllabus scheme for applied mathematics-iv is as follows.

Applied Mathematics-IV Syllabus for Information Technology SE 4th Sem 2017 Pattern Mumbai University

Course Objectives:

For the complete Syllabus, results, class timetable, and many other features kindly download the iStudy App
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Course Outcomes:

Students will able to:

1. Apply the Number Theory to different applications using theorem.
2. Apply probability and understand PDF.
3. Understand sampling theory and correlation.
4. Apply the graphs and trees concepts to different applications.
5. Understand groups theory.
6. Understand the Lattice theory.

Prerequisites:

Applied Mathematics III

Module I

Elements of Number Theory I Modular Arithmetic, Divisibility and Euclid Algorithm, Primes and the Sieve of Eratosthenes, Testing for primes, Prime Number Theorem 06 CO1

Module II

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Module III

Probability Statistics: Formal concept, sample space, outcomes, events Random Variables: discrete & continuous random variables, expectation, Variance, Probability Density Function & Cumulative Density Function Moments, Moment Generating Function Probability distribution: binomial distribution, Poisson & normal distribution 08 CO2

Module IV

Sampling theory Test of Hypothesis, Level of significance, Critical region, One Tailed and two Tailed test, Test of significant for Large Samples:-Means of the samples and test of significant of means of two large samples Test of significant of small samples:- Students t- distribution for dependent and independent samples Chi square test:- Test of goodness of fit and independence of attributes, Contingency table. Correlation Scattered diagrams Karl Pearsons coefficient of correlation Spearmans Rank correlation Regression Lines 10 CO3

Module V

Graph & Groups theory. Introduction to graphs, graph terminology, representing graphs and graph isomorphism, connectivity, Euler and Hamilton paths, planar graphs, graph coloring, introduction to trees, application of trees. Groups, subgroups, generators and evaluation of powers, cosets and Lagrange’s theorem, permutation groups and Burnside’s theorem, isomorphism, automorphisms, homomorphism and normal subgroups, rings, integral domains and fields.

Module VI

For the complete Syllabus, results, class timetable, and many other features kindly download the iStudy App
It is a lightweight, easy to use, no images, and no pdf platform to make students’s lives easier.
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Text Books:

1. Cryptograph and Network Security by B. A. Forouzan & D. Mukhopadhyay, 11th edition, McGraw Hill Publication.
2. Network Security and Cryptograph byBernard Menezes, Cengage Learning Publication.
3. Higher Engineering Mathematics by Grewal B. S. 38th edition, Khanna Publication 2005.
4. Probability and Statistics for Engineering, Dr. J Ravichandran, Wiley-India.
5. Mathematical Statistics by H. C Saxena, S Chand & Co.
6. C. L. Liu: Elements of Discrete Mathematics, 2nd edition, TMH

Reference Books:

1. Elementary Number Theory and its applications by Kenneth H. Rosen, 5th edition, Addison Wesley Publication.
2. Abstract Algebra by I. N. Herstain, 3rd eition, John Wiley and Sons Publication.
3. Discrete Mathematics by Norman Biggs, 2nd edition, Oxford University Press.
4. Advanced Engg. Mathematics by C. Ray Wylie & Louis Barrett.TMH International Edition.
5. Mathematical Methods of Science and Engineering by Kanti B. Datta, Cengage Learning.
6. Advanced Engineering Mathematics by Kreyszig E. 9th edition, John Wiley.
7. Probability by Seymour Lipschutz, McGraw-Hill publication.

Assessment:

Internal Assessment for 20 marks: Consisting of Two Compulsory Class Tests Approximately 40% to 50% of syllabus content must be covered in First test and remaining 40% to 50% of syllabus contents must be covered in second test. End Semester Theory Examination: Some guidelines for setting the question papers are as:

• Weightage of each module in end semester examination is expected to be/will be proportional to number of respective lecture hours mentioned in the syllabus.
• Question paper will comprise of total six questions, each carrying 20 marks.
• Q.1 will be compulsory and should cover maximum contents of the syllabus.
• Remaining question will be mixed in nature (for example if Q.2 has part
1. from module 3 then part
2. will be from any other module. (Randomly selected from all the modules)
• Total four questions need to be solved.

For detail syllabus of all other subjects of Information Technology (IT) 4th Sem 2017 regulation, visit IT 4th Sem Subjects syllabus for 2017 regulation.