CSC401: Applied Mathematics- IV Syllabus for CS 4th Sem 2017 Pattern Mumbai University

Applied Mathematics- IV detailed syllabus scheme for Computer Engineering (CS), 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 Computer Engineering 4th Sem Syllabus 2017 Pattern, do visit CS 4th Sem 2017 Pattern Scheme. The detailed syllabus scheme for applied mathematics- iv is as follows.

Applied Mathematics- IV Syllabus for Computer Engineering 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:

1. Students in this course will be able to apply the method of solving complex integration, computing residues & evaluate various contour integrals.
2. Demonstrate ability to manipulate matrices and compute Eigen values and Eigen vectors.
3. Apply the concept of probability distribution to the engineering problems.
4. Apply the concept of sampling theory to the engineering problems.
5. Use matrix algebra with its specific rules to solve the system of linear equation, using concept of Eigen value and Eigen vector to the engineering problems.
6. Apply the concept of Linear & Non-Linear Programming Problem to the engineering problems.

Module 1

Complex Integration 10

1. Complex Integration – Line Integral, Cauchys Integral theorem for simply connected regions, Cauchys Integral formula(without proof.
2. Taylors and Laurents series ( without proof.
3. Zeros, poles of fz, Residues, Cauchys Residue theorem.
4. Applications of Residue theorem to evaluate Integrals of the type (follow the equatio from pdf)

Module 2

Matrices 10

1. Eigen values and Eigen vectors.
2. Cayley-Hamilton theorem(without proof.
3. Similar matrices, diagonalisable matrix.
4. Derogatory and non-derogatory matrices, Functions of square matrix.

Module 3

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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Module 4

Sampling Theory (Large Sample test. 06

1. Sampling Distribution, Test of Hypothesis, Level of significance, Critical region, One Tailed and Two Tailed test,
2. Test of significant for Large Samples:-Means of the samples and test of significant of means of two large samples.

Module 5

Sampling Theory (Small Sample test. 06

1. Test of significant for small samples:- Students t- distribution for dependent and independent samples
2. Chi square test:- Test of goodness of fit and independence of attributes,Contingency table.

Module 6

Mathematical Programming 10

1. Types of solution, Standard and Canonical form of LPP, Basic and feasible solutions, simplex method.
2. Artificial variables, Big -M method (method of penalty).
3. Duality and Dual simplex method.
4. Non Linear Programming Problems with equality constrains and inequality Constrains (two or three variables with one constrains) (No formulation, No Graphical method).

Text Books:

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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Reference Books:

1. Probability & Statistics with reliability by Kishor s Trivedi, Wiley India.
2. Advanced Engg. Mathematics by Ray Wylie & Louis Barrett.TMH International Edition.
3. Mathematical Methods of Science and Engineering by Kanti Datta, Cengage Learning.
4. Advanced Engineering Mathematics by Kreyszig 9th edition, John Wiley.
5. Operations Research by S.D. Sharma Kedar Nath, Ram Nath & Co. Meerat.
6. Engineering optimization (Theory and Practice) by Singiresu S.Rao, New Age International publication.

Assessment:

Internal Assessment Assessment consists of two class tests of 20 marks each. The first class test is to be conducted when approx. 40% syllabus is completed and second class test when additional 40% syllabus is completed. Duration of each test shall be one hour. End Semester Theory Examination:

1. Question paper will comprise of 6 questions, each carrying 20 marks.
2. The students need to solve total 4 questions.
3. Question No.1 will be compulsory and based on entire syllabus.
4. Remaining question (Q.2 to Q.6) will be selected from all the modules.

In question paper, weightage of each module will be proportional to number of respective lecture hours as mentioned in the syllabus.

For detail syllabus of all other subjects of Computer Engineering (CS) 4th Sem 2017 regulation, visit CS 4th Sem Subjects syllabus for 2017 regulation.