SOUTH ASIAN UNIVERSITY

A University Established by SAARC Nations

SOUTH ASIAN UNIVERSITY

A University established by SAARC Nations

DM
Department of Mathematics

Integrated BS-MS program

INTEGRATED BS-MS (INTERDISCIPLINARY SCIENCE)

The Bachelor of Science (BS) in Integrative Studies is a 4-year meritorious honors program, including the first year on the Deferred Declaration of Degree provisions. In all, students are required to complete 160 credit units’ worth of courses. Students on the Deferred Declaration of Degree provisions will be invited to apply for the individually designed set of courses including the Core courses. For the BS-MS 5-year program, students are required to complete at least 200 credit units’ worth of courses.

COURSE STRUCTURE: OVERVIEW

  1. Students will be exposed to four major science disciplines, to be called Major Disciplines, namely, Physics, Chemistry, Mathematics, and Biological Sciences. An extensive knowledge of computer science courses will be provided to all the students. Moreover, the students will have the opportunity to study several interdisciplinary courses to choose from Social Sciences/Economics/Law/International Relations/Management/Arts & Design/ Music/Foreign language etc.
  2. Students will be admitted to the 5-year Integrated BS-MS Interdisciplinary Science Program and at the end of the programme, will earn the BS-MS degree in the Major Disciplines of Physics, Mathematics, or Biological Sciences. However, the students can exit after 4 years with a BS degree in any of the four Major Disciplines Physics, Chemistry, Mathematics, or Biological Sciences.
  3. Students are required to earn at least 160 credits to get a BS degree and 200 credits for a BS-MS degree. On average, around 20 credits of courses will be offered each semester.
  4. Course Types in the BS-MS Program:
    • Core Discipline Groups (CDG): Includes Major Disciplines; once dropped in a semester, cannot be taken again.
    • Elective Discipline Groups (EDG): Includes Major Disciplines; students choose one or more.
    • Computer Science (CS) Courses: A significant number will be offered.
    • Multidisciplinary Open Elective (IDOE) Courses: 2-credit electives in areas like Languages, Social Sciences, Economics, Law, etc.
    • EVS, ITSA, and Ethics: Includes 2-credit compulsory courses in Environmental Studies (EVS) and Institute of South Asian Studies (ITSA), and a non-credit Ethics course.
  5. Semester-wise Major Discipline Choices:
    • Semesters I, II, III: All CDGs (Physics, Chemistry, Mathematics, Biological Sciences) are compulsory.
    • Semester III: Choose one 4-credit EDG course, including Computer Science.
    • Semesters I–IV: Mathematics offered at two levels:
      • Basic – for those without Class XII Mathematics
      • Advanced – for others
    • Semester IV:
      • Choose 3 CDG disciplines (12 credits); the dropped one cannot be taken later.
      • Choose 3 EDG/CS disciplines (9 credits).
    • Semester V: Choose 2 disciplines (from Semester IV CDGs) for a total of 20 credits.
    • Semester VI:
      • Choose 1 discipline (from Semester V) for at least 15 credits.
      • Choose 2 EDG disciplines (6 credits).
    • Semesters VII & VIII: Continue with the core discipline from Semester VI. No EDG courses allowed.
    • Exit Option: Students may exit after Semester VIII with a BS degree in the chosen discipline.
    • Continuation Option: Students may continue to complete the Integrated BS-MS degree.
  6. Flexibilities and Restrictions:
    • A Major Discipline dropped under CDG in any semester cannot be selected again.
    • A Major Discipline dropped under EDG may be chosen again if prerequisites are fulfilled.
    • Students may take additional EDG disciplines to earn extra credits, including from previous semesters.
SEMESTER-I
S. No. Course Type Credits Total Credits
1. Physics-I Core Discipline Groups (CDG) 2+1=3 12
Chemistry-I 2+1=3
*Mathematics (Basic)-I
or
Mathematics (Advanced)-I
3
Biological Sciences-I 2+1=3
2. Computer-I Interdisciplinary Courses 2+2=4 8
English-I 2
Physical Education-I 2
Total Credits 20
*It is mandatory to choose Mathematics (Advance) in order to take Mathematics as a Core subject in the Semester-V
SEMESTER-II
S. No. Course Type Credits Total Credits
1. Physics-II Core Discipline Group (CDG) 3+1 16
Chemistry-II 3+1
*Mathematics (Basic)-II
or
Mathematics (Advanced)-II
4
Biological Sciences-II 3+1
2. Computer-II Interdisciplinary 2+2 6
Open Elective-II
(Choose any one from List-1)
2
3. Ethics 0
Total Credits 22
*It is mandatory to choose Mathematics (Advance) in order to take Mathematics as a Core subject in the Semester-V.
SEMESTER-III
S. No. Course Type Credits Total Credits
1. Physics-III Core Discipline Groups (CDG) 3+1=4 16
Chemistry-III 3+1=4
Mathematics-III (Basic or Advanced) 4
Biological Sciences-III 3+1=4
2. EDG – Physics Elective Discipline Groups (EDG)
Select 4 credits in total from List-2
4 4
EDG – Chemistry
EDG – Mathematics
EDG – Biological Sciences
EDG – Computer Science (R-Programming-1)
3. Interdisciplinary Course (List-3) Interdisciplinary Course 2 2
Total Credits 22
*It is mandatory to choose Mathematics (Advance) in order to take Mathematics as a Core subject in the Semester-V.

 

SEMESTER-IV
S. No. Course Type Credits Total Credits
1. Physics-IV Core Discipline Groups (CDG) (Choose any three courses) 4 12
Chemistry-IV 4
*Mathematics (Basic)-IV or Mathematics (Advanced)-IV 4
Biological Sciences-IV 4
2. Physics Elective Discipline Groups (EDG) (Choose any three from List-4)# 3+3+3 9
Chemistry
Mathematics
Biological Sciences
Computer Science (R-programming-2)
3. EVS Interdisciplinary courses 2 2
4. Ethics 0 0
Total Credits 23
*It is mandatory to choose Mathematics (Advanced) in order to take Mathematics as a Core subject in Semester-V.
# It is NOT allowed to select all the EDGs from the same Core Discipline. These EDGs are not the part of prerequisite for selecting a Core Discipline in Semester-V.
SEMESTER-V
S. No. Course Type Credits Total Credits
1. Physics-V Core Discipline Groups
(CDG) (Choose any two courses) *
10 22
Chemistry-V 10
Mathematics-V 10
Biological Sciences-V 10
2. Choose one from List-2 Interdisciplinary 2
Total Credits: 22
*Allowed to choose any two from the three CDGs already studied in Semester-IV.

 

SEMESTER-VI
S. No. Course Name Type Credits Total Credits
1. Physics-VI Core Discipline Groups (CDG) (Choose any one course)* 16 16
Chemistry-VI 16
Mathematics-VI 16
Biological Sciences-VI 16
2. Physics Elective Discipline Groups (EDG) (Choose any two from List-4 & 5) 3+3 6
Chemistry
Mathematics
Biological Sciences
3. Ethics Interdisciplinary Courses 0 0
Total Credits 22
*Allowed to choose any one from the two CDGs already studied and qualified in Semester-V.

SEMESTER-VII
S. No. Course Name Type Credits Total Credits
1. Physics-VII Core Discipline Groups (CDG) (Choose any one course)* 20 20
Chemistry-VII 20
Mathematics-VII 20
Biological Sciences-VII 20
Total Credits 20
*Allowed to choose only that CDG, which is selected and qualified in Semester-VI.

SEMESTER-VIII
S. No. Course Type Credits Total Credits
1. Physics-VIII Core Discipline Groups (CDG) (Choose any one course)* 20 20
Chemistry-VIII 20
Mathematics-VIII 20
Biological Sciences-VIII 20
Total Credits 20
*Allowed to choose only that CDG, which is selected and qualified in Semester-VII.

SEMESTER-IX
S. No. Course Type Credits Total Credits
1. Physics-IX Core Discipline Groups (CDG) (Choose any one course)* 20 20
Chemistry-IX 20
Mathematics-IX 20
Biological Sciences-IX 20
Total Credits 20
*Allowed to choose only that CDG, which is selected and qualified in Semester-VI.

SEMESTER-X
S. No. Course Type Credits Total Credits
1. Physics-X Core Discipline Groups (CDG) (Choose any one course)* 20 20
Chemistry-X 20
Mathematics-X 20
Biological Sciences-X 20
Total Credits 20
*Allowed to choose only that CDG, which is selected and qualified in Semester-VII.

List- 1: Open Elective Courses

S. No. Open Elective Courses Credits
1 Social Physics 2
2 Bio-entrepreneurship 2
3 IPR & Copyright 2
4 Biosecurity 2
5 Management 2
6 Art & Design 2
7 Foreign Language 2
8 Gender Studies in Sciences 2
9 Science and Society 2
10 History of Science 2
11 Introduction to Future Studies 2
12 Introduction to Scientific Instruments 2

 

List- 2 Elective Discipline Groups (EDG) (Select 4 credits in total)

S. No. Physics Chemistry Biology Mathematics Computer Science Credits
1 Introduction to Nanotechnology Inorganic Materials of Industrial Importance Bioinformatics Riemann Integration TBA 4 Credits each
2 Scale and Measurements        
3 Computational Physics        
4 Precision and Error analysis in Physics        
5 Physics of DNA        
6 Introduction to Complex Systems        

List-3:  Interdisciplinary Skill Enhancement Courses*

(Choose at least one course from List-3)

S. No. Courses Credits
1 Molecular Diagnostics 2
2 Medical Lab Technology 2
3 Quantum Chemistry 2
4 Robotics 2
5 Cybersecurity 2
8 Introduction to Atmospheric Physics 2
9 Tools and Techniques for future studies 2
10 Physics & Astronomy in Indian Knowledge System 2
11 Physics of Earth 2
12 Life Skill Education 2
13 Physics of Devices 2
14 Green Chemistry in Organic Synthesis 2
15 Basic Principles of Food Chemistry 2
16 Nuclear and Environmental Chemistry 2

List-4: Elective Discipline Groups (EDGs)*

(Choose at least three courses from the List-4)

S. No. Physics Chemistry Mathematics Biological Sciences Computer Science Credits
1 Nano Physics Applied Organic Chemistry Stat. & Prob Biophysics R-programming-2 3 credits each
2 Electromagnetic Theory Applications of Computers in Chemistry   Medicinal Chemistry  
3 Modelling and Statistical Analysis in Physics Colloids and Adsorption   Ecology & Biodiversity  
4 Physics of Materials Biophysical Chemistry      
5 Communication System        
6 Microprocessors        
7 Advanced Mathematical Physics        
8 Fiber Optics        
9 Radiation and its Applications          
10 Introduction to Embedded System Design          

* List-4 courses are also available for Semester-VI students.

 

List-5: Elective Discipline Groups (EDG)

S. No. Physics Chemistry Mathematics Biological Sciences Credits
1 Mathematical Physics Liquid state and colligative properties Discrete Mathematics Biosensor Designing 3 credits each
2 Introductory Astronomy Polymers, Colloids, Surfaces and Interfaces   AI in Health
3 Advanced Computational Physics Reactions and Reagents
(Note: New reactions and reactions)
  Structural Biology
4 Applied Dynamics Novel Inorganic Solids    
5 Physics of Detectors      
6 Light & Matter      
7 Electrical Circuit Analysis      
8 Introduction to Accelerators      

 

Biological Sciences: Course Structure

Sem. Core Discipline Groups (CDG) Elective Discipline Groups (EDG) Interdisciplinary Courses
I Introduction to Biology (Credits: 3)    
II Biomolecules (Credits: 4)   EVS (Credits: 2)
III Microbes in Human Welfare (Credits: 4) List-2
Bioinformatics (Credits: 4)
List-3 (2 credits each):
· Molecular Diagnostics
· Medical Lab Technology
IV Cell & Molecular Biology (Credits: 5) List-4:
· Biophysics
· Ecology & Biodiversity
· Medicinal Chemistry
EVS (Credits: 2)
V Immunobiology (Credits: 2)
Biostatistics (Credits: 2)
Human Physiology (Credits: 2)
Enzymology (Credits: 2)
Lab Tech (Credits: 2)
  List-3 (2 credits each):
· Molecular Diagnostics
· Medical Lab Technology
VI Plant Physiology (Credits: 3)
Developmental Genetics (Credits: 3)
Fermentation (Credits: 3)
Computational Biology (Credits: 3)
Lab Tech (Credits: 4)
List-5:
· Biosensor Designing
· AI in Health
· Structural Biology
EVS (Credits: 2)
VII Advanced Molecular Biology (Credits: 4)
Biochemistry (Credits: 4)
Advanced Cell Biology (Credits: 4)
Nanobiotechnology (Credits: 4)
Lab Tech (Credits: 4)
  List-3 (2 credits each):
· Molecular Diagnostics
· Medical Lab Technology
VIII Microbial Technology (Credits: 4)
Genetic Engineering (Credits: 4)
Plant Molecular Biology (Credits: 4)
Bioprocess Technology (Credits: 4)
Lab Tech (Credits: 4)
   
IX

Research Methodology (Credits: 4)

EDGs (4×4)=16

Total Credits: 20

Select any four (4 credits each):
· Protein Engineering
· Tissue Engineering
· Advanced Plant Biotechnology
· Virology
· Biochemical Engineering
· Chemical Biology
· Computer Programming
· AI for Biologist
 
X

Project (Credits: 12)
EDGs (2×4)=8

Total Credits: 20

Select any two (4 credits each):
· Environmental Biotechnology
· Neuroscience
· Cancer Biology
· Adv. Radiation Biology
· Downstream Processing in Biotechnology
· Omics in Biotechnology
 

Mathematics: Course Structure

Sem Core Discipline Group
(Mathematics) / Credits
Elective Discipline Group
(Mathematics)
Total Credits
I Fundamental of Calculus (3)
Or
Topics in Basic Mathematics (3)
  3
II Algebra (4)
Or
Topics in Elementary Algebra and Vectors (4)
  4
III ODE (4)
Or
Elementary Statistics and Probability (4)
Riemann Integration (4) 8
IV Real Analysis (4)
Or
Elementary Calculus and Differential Equations (4)
Stat. & Prob. (3) 7
V Abstract Algebra (3)
Linear Algebra (3)
Numerical Analysis (4)
  10
VI Multivariate Calculus (4)
Sequence & Series of Functions (4)
Metric Spaces (4)
Choose one (4):
LP & Applications
Graph Theory
Number Theory
Discrete Mathematics (3) 19
VII PDE (4)
Complex Analysis (4)
Choose two (4+4):
Mathematical Modelling
Cryptography
Industrial Mathematics
Integral Equations
Biomathematics
Project / Internship (4)
  20
VIII Functional Analysis (4)
Advanced Algebra (4)
Choose two (4+4):
Dynamical Systems
Graph Theory and Networks
Fourier Series & Integral Transforms
Optimization & Game Theory
Project / Internship (4)
  20
IX To be updated    
X To be updated    

Chemistry: Course Structure

Sem Core Discipline Groups (CDG) Elective Discipline Groups (EDG) Interdisciplinary Courses
I (Credit: 3) Chemistry-I
Atomic structure, Chemical Bonding, and Basic Organic Chemistry
   
II (Credit: 4) Chemistry-II
Chemical Transformations and States of Matter
  List-1: Open Elective Courses
III (Credit: 4) Chemistry-III
Chemical Energetics and Functional Group Organic Chemistry
List-2 (Credits: 4)
Inorganic Materials of Industrial Importance
List-3 (Credits: 2)
• Green Chemistry in Organic Synthesis
• Basic Principles of Food Chemistry
• Nuclear and Environmental Chemistry
IV (Credit: 5) Chemistry-IV
Chemistry of S and P block elements
List-4 (Credits: 3)
• Applied Organic Chemistry
• Applications of Computers in Chemistry
• Colloids and Adsorption
• Biophysical Chemistry
 
V (Credits: 10) Chemistry-V
• N-Containing Functional Groups, Polynuclear Hydrocarbons and Heterocycles (3+2)
• Coordination Chemistry and Reaction Mechanism (3+2)
   
VI (Credits: 15) Chemistry-VI
• Phase Equilibria and Electrochemistry (3+2)
• Bioinorganic and Organometallic Chemistry (3+2)
• Molecules of Life (3+2)
List-5 (Credits: 3)
• Liquid State and Colligative Properties
• Reactions and Reagents
• Polymers, Colloids, Surfaces and Interfaces
• Novel Inorganic Solids
 
VII (Credits: 20) Chemistry-VII
• Chemical Kinetics, Surface Chemistry and Photochemistry (3+2)
• Spectroscopy of Organic Compounds (3+2)
• Chemistry of Natural Products and Principles of Qualitative Analysis (3+2)
• Analytical Methods in Chemistry (3+2)
   
VIII (Credits: 20) Chemistry-VIII
• Quantum Chemistry and Spectroscopy
• Advanced Organic Chemistry
• Advanced Inorganic Chemistry
   

Physics: Course Structure

Semester Core Discipline Groups (CDG) Elective Discipline Groups (EDG) Interdisciplinary Courses
I Physics-I (3 credits)    
II Physics-II (4 credits)  

Open Elective: List-1 (2 credits)

  • Social Physics
  • Introduction to Future Studies
  • Gender Studies in Sciences
  • Science and Society
  • History of Science
  • Introduction to Scientific Instruments
III Heat & Thermodynamics (4 credits)

List-2 (4 credits) – One course

  • Introduction to Nanotechnology
  • Scale and Measurements
  • Computational Physics
  • Precision and Error Analysis in Physics
  • Physics of DNA
  • Introduction to Complex Systems

List-3 (2 credits)

  • Introduction to Atmospheric Physics
  • Tools and Techniques for Future Studies
  • Physics & Astronomy in Indian Knowledge System
  • Physics of Earth
  • Life Skill Education
  • Physics of Devices
IV Modern Physics (5 credits)

List-4 (3 credits)

  • Nano Physics
  • Electromagnetic Theory
  • Modelling and Statistical Analysis in Physics
  • Physics of Materials
  • Communication System
  • Microprocessors
  • Advanced Mathematical Physics
  • Fibre Optics
  • Radiation and its Applications
  • Introduction to Embedded System Design
 
V
  • Solid State Physics (5 credits)
  • Atomic and Molecular Physics (5 credits)
 

List-3 (2 credits)

  • Introduction to Atmospheric Physics
  • Tools and Techniques for Future Studies
  • Physics & Astronomy in Indian Knowledge System
  • Physics of Earth
  • Life Skill Education
  • Physics of Devices
VI Physics Courses (Total: 16 credits)

List-5 (3 credits)

  • Mathematical Physics
  • Introductory Astronomy
  • Advanced Computational Physics
  • Applied Dynamics
  • Physics of Detectors
  • Light & Matter
  • Electrical Circuit Analysis
  • Introduction to Accelerators
 
VII
  • Classical Mechanics (4 credits)
  • Electrodynamics (4 credits)
  • Quantum Mechanics (4 credits)
  • Mathematical Physics I (4 credits)
  • General Lab I (4 credits)
  • General Lab II (4 credits)
   
VIII
  • Condensed Matter Physics (4 credits)
  • Advanced Digital Electronics (4 credits)
  • Advanced Quantum Mechanics (4 credits)
  • Statistical Mechanics (4 credits)
  • General Lab I (4 credits)
  • General Lab II (4 credits)
   
IX
  • Elective I (4 credits)
  • Elective II (4 credits)
  • Seminar (2 credits)
  • Minor Project (10 credits)
   
X
  • Elective I (4 credits)
  • Elective II (4 credits)
  • Seminar (2 credits)
  • Minor Project (10 credits)