DEVI AHILYA VISHWAVIDYALAYA, INDORE

INSTITUTE OF ENGINEERING AND TECHNOLOGY PROGRAMME CODE: AS5A PROGRAMME TITLE: M.Sc. (Applied Mathematics) With Specialization in Computing & Informatics. OBJECTIVES: The broad objectives of the M.Sc. programme are as follows: To develop basic skills of solving in an efficient and effective way. To explore the computer science for promoting research & development. To develop manpower for problem solving at mathematical level and support information

technologists. To strengthen the foundation in the fast growing software and web development industries. To provide placement opportunity to the B.Sc. /B.C.A./ B.A./ B.E./ B.Tech. enthusiasts in the

IT / software sectors. To transform graduate enthusiasts to specialists. ELIGIBILITY: B.Sc. /B.C.A./ B.A./ B.E./ B.Tech. (with Mathematics as one subject) passed with minimum 50% marks in aggregate. The candidate should have passed 12th with Mathematics subject. The relaxation of 5% marks in Mathematics for SC/ST candidate. AGE LIMIT: No Age Limit.

SEATS: 30 (reservation as per state Govt. rules) DURATION: Four Semesters (Two Years)

FEE STRUCTURE (2020-22):

Semester Academic Development & Students’ Examination Total (Rs.)

Fee Maintenance Services Fee Fee

Fee

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First 5500 2000 3300 3111 2500 13300 13111

Second 5500 2000 2911 2722 2500 12911 12722

Third 5500 2000 3300 3111 2500 13500 13111

Fourth 5500 2000 2911 2722 2500 12911 12722

Caution money (Refundable) of Rs. 4000/- will be charged additionally in the first semester. Alumni Fee of Rs. 500/- will be charged extra in the first semester. M.Sc. (Applied Mathematics) Page 1

DEVI AHILYA VISHWAVIDYALAYA, INDORE If a student repeats a paper(s) in a semester, an additional fee of Rs.500/- per paper shall be

payable. For NRI/ FN/ PIO Candidates, a fee of US$ 3500 Per Annum shall be payable on yearly basis.

They will have to pay a refundable deposit of US$ 500 once at the time of admission. Hostel Fee and Central Library Fee will be extra.

PROGRAMME STRUCTURE:

A Proportionate mix of theoretical and applied aspects of Mathematics with Computer Science and Information Technology shall be taught during the semesters, under CBCS Scheme. The theoretical study, supplemented with relevant laboratory work, shall enhance the problem solving skills. Dissertation work (Optional) in the final semester shall provide a base of independent thinking through a minor project assignment. M.Sc. syllabus for the program is:

First Semester: S. No. Sub Code Sub Name Number of Credits

L-T-P 1. AS5A-501 Algebra 3-1-0 2. AS5A-503 Discrete Mathematics 3-1-0 3. AS5A-505 Numerical Analysis / Integral Equations 3-1-0 4. AS5A-507 Advanced Communication Skills 2-0-0 5. - Generic Elective I 3-1-0 6. AS5A-509 Computer Lab-I (MATLAB) 0-0-2 7. AS5A-551 Comprehensive Viva I 0-0-4

Total Credit for SEM I 20 actual + 4 Virtual credits List of Generic Elective I

1. AS5A-521 Computer Architecture/ Digital Electronics and 3-1-0 Computer Organization

2. AS5A-523 Advanced Special Functions 3-1-0

3. AS5A-525 Financial Accounts 3-1-0 Second Semester:

S. No. Sub Code Sub Name Number of Credits L-T-P

1. AS5A-502 Real Analysis / Measure Theory 3-1-0 2. AS5A-504 Advanced Differential Equations 3-1-0 3. AS5A-506 Theory of Computation 3-1-0 4. - Discipline Elective I 3-0-0 5. - Discipline Elective II 3-0-0 6. AS5A-508 Computer Lab-II (Of Subject of Discipline Elective -I) 0-0-2 7. AS5A-552 Comprehensive Viva II 0-0-4

Total Credit for SEM II 20 actual + 4 Virtual

M.Sc. (Applied Mathematics) Page 2

DEVI AHILYA VISHWAVIDYALAYA, INDORE credits List of Discipline Elective I

1. AS5A-522 Object Oriented Programming with Core Java 3-0-0 2. AS5A-524 Comp. Graphics /Multimedia 3-0-0

List of Discipline Elective II

1. AS5A-526 Operations Research-I 3-0-0 2. AS5A-528 Soft Computing Techniques 3-0-0

Third Semester: S. No. Sub Code Sub Name Number of Credits

L-T-P 1. AS5A-601 Topology 3-1-0 2. AS5A-603 Database Theory 3-1-0 3. AS5A-605 Mathematical Statistics 3-1-0 4. AS5A-607 Life Management Skills 2-0-0 5. - Generic Elective II 3-1-0 6. AS5A-609 Computer Lab-III (Research Tools) 0-0-2 7. AS5A-651 Comprehensive Viva III 0-0-4

Total Credit for SEM III 20 actual + 4 Virtual credits List of Generic Elective II 3-1-0

1. AS5A-621 OS/Microprocessor 3-1-0 2. AS5A-623 Integral Transforms 3-1-0 3. AS5A-625 Financial Management

Fourth Semester:

S. No. Sub Code Sub Name Number of Credits L-T-P

1. AS5A-602 Complex Analysis 3-1-0 2. AS5A-604 Analysis of Algorithm 3-1-0 3. AS5A-606 Functional Analysis 3-1-0 4. - Discipline Elective III * 3-0-0 5. - Discipline Elective IV * 3-0-0 6. - Discipline Elective V * 0-2-4 7. AS5A-608 Computer Lab-IV (Of Subject of Discipline Elective - 0-0-2

III) 8. AS5A-652 Comprehensive Viva IV 0-0-4

Total Credit for SEM IV 20 actual + 4 Virtual credits List of Discipline Elective III

1. AS5A-622 Advanced Java 3-0-0 2. AS5A-624 Unix / Linux Administration 3-0-0 3. AS5A-626 Computer Network/ Internet & Web Technology 3-0-0

M.Sc. (Applied Mathematics) Page 3

DEVI AHILYA VISHWAVIDYALAYA, INDORE List of Discipline Elective IV

1. AS5A-632 Operations Research-II 3-0-0 2. AS5A-634 Mathematical Modeling 3-0-0 3. AS5A-636 Number Theory/Cryptography 3-0-0

List of Discipline Elective V

1. AS5A-642 Dissertation (Minor)* 0-0-4 2. AS5A-644 Seminar 0-2-0

PROGRAMME OUTCOMES (POs)

A Master of Science student will be able to: Create more interest in the subject and motivated towards self-learning. Strengthen the logical reasoning, which is the main ingredient to understand

subjective concepts and to inculcate the habit of making observations andexperimentation and arrive at the final result.

Acquire the communication skill to take up a career in either Teaching their subjectat various levels including schools, colleges, universities, etc or as a researcher and analyst or in professional courses.

Communicate effectively both orally and in writing, work effectively in teams, exhibit ethical and professional behavior.

Demonstrate knowledge and understanding of the underlying principles and apply these to one’s own work, as a member and leader in a team, manage projects in multidisciplinary environments.

Propose new questions and suggest possible software packages and/or computer programming to find solutions to these questions.

Identify, formulate, research literature, and analyze complex problems reaching substantiated conclusions using first principles of mathematical, biological, physical and chemical sciences, programming and so on.

PROGRAMME SPECIFIC OUTCOMES (PSOs)

The post graduates of the M.Sc. Applied Mathematics (with specialization in computing and

Informatics) will:

PSO1: Develop core skills in Applied Mathematics and methods that find use in science, engineering, business, computer science, and industry. And allows to specialise in

M.Sc. (Applied Mathematics) Page 4

DEVI AHILYA VISHWAVIDYALAYA, INDORE

industrial modelling or numerical analysis, in preparation for study towards a PhD or a career using Mathematics within industry.

PSO2: Be enriched with analytical skills, problem solving and communication skills as well as

independently design, develop and implement computer applications. PSO3: Enhance career opportunities and bring themselves at par with professional courses.

M.Sc. (Applied Mathematics) Page 5