Course Pattern

B.Sc. Mathematics (2023-2024 onwards)

Semester I

Part Course Code Course Title Credits Hours per week (L/T/P) CIA ESE Total Mark
Part-1 U23TAL11 Language-1- Tamil 3 6 25 75 100
Part-2 U23ENL21 Language-2- English 3 6 25 75 100
Part-3 U23MAT11 Core 1: Algebra & Trigonometry 5 5 25 75 100
U23MAT12 Core 2: Differential Calculus 5 5 25 75 100
U23MAA11 Elective-1: Allied-I : Theory : Physics / Chemistry 3 4 25 75 100
Part-4 U23MAS11 Skill Enhancement Course SEC-1: Computational Mathematics 2 2 25 75 100
Part -6 U23MAF11 Foundation Course FC – Bridge Mathematics 2 2 25 75 100
      23 30      
* No Naan Mudhalvan Course in first semester

Semester II

Part Course Code List of Courses Credits Hours per week (L/T/P) CIA ESE Total Mark
Part-1 U23TAL12 Language-1- Tamil 3 6 25 75 100
Part-2 U23ENL22 Language-2- English 3 6 25 75 100
Part-3 U23MAT23 Core 3: Analytical Geometry (Two & Three Dimensions) 5 5 25 75 100
U23MAT24 Core 4: Integral Calculus 5 5 25 75 100
U23MAA22 Elective-2. Allied -II : Theory /Practical: Physics/ Chemistry 3 4 25 75 100
Part-4 U23MAS22 Skill Enhancement Course (Discipline / Subject Specific) – SEC-2 (Soft Skill) 2 2 25 75 100
  Nann Mudhalvan 2 2 25 75 100
Part-6 U23MAS23 Skill Enhancement Course -SEC-3 – Web Designing AdditionalCredits-2 25 75 100
      23 30      
*Skill Enhancement Course -SEC-3 is replaced with Naan Mudhalvan Course in Part 4 and is offered as additional Credit Course in Part -6

Semester III

Part Course Code List of Courses Credits Hours per week (L/T/P) CIA ESE Total Mark
Part-1 U23TAL13 Language-1- Tamil 3 6 25 75 100
Part-2 U23ENL23 Language-2- English 3 6 25 75 100
Part-3 U23MAT35 Core 5: Vector Calculus and Applications 5 5 25 75 100
U23MAT36 Core 6: Differential Equations and Applications 5 5 25 75 100
U23MAA33 Elective-3. Mathematical Statistics Theory & Practical 3 4 25 75 100
Part-4 U23MAS34 Skill Enhancement Course (Discipline / Subject Specific) – SEC-4 (Soft Skill)/(Statistics with R Programming) 1 2 25 75 100
U23MAS35 Skill Enhancement Course -SEC-5 (Naan Mudhalvan) 2 2 25 75 100
      22 30      
* Skill Enhancement Course -SEC-5 is offered now as Naan Mudhalvan Course

Semester IV

Part Course Code List of Courses Credits Hours per week (L/T/P) CIA ESE Total Mark
Part-1 U23TAL14 Language-1- Tamil 3 6 25 75 100
Part-2 U23ENL24 Language-2- English 3 6 25 75 100
Part-3 U23MAT47 Core 7: Industry Module – Industrial Statistics 5 5 25 75 100
U23MAT48 Core 8: Elements of Mathematical Analysis 5 5 25 75 100
U23MAA44 Elective-4. Transformation Techniques 3 3 25 75 100
Part-4 U23MAS46 Skill Enhancement Course – SEC  -6 (Introduction to Data Science/Computing Mathematics) 2 2 25 75 100
U23MAS347 Skill Enhancement Course – SEE 7-(Naan Mudhalvan) 2 2 25 75 100
  Environmental Studies 2 2 25 75 100
      25 31      
* Skill Enhancement Course -SEC-7 is offered now as Naan Mudhalvan Course.

Semester V

Part Course Code List of Courses Credits Hours per week (L/T/P) CIA ESE Total Mark
Part-3 U23MAT59 Core 9: Abstract Algebra 4 5 25 75 100
U23MAT510 Core 10: Real Analysis 4 5 25 75 100
U23MAT511 Core 11: Mathematical Modelling 4 5 25 75 100
U23MAT512 Core 12: Project with Viva voce 4 5 25 75 100
U23MAA55 Elective-5. Introduction to Machine Learning – Theory & Practical 3 3 25 75 100
U23MAA56 Elective-6. Optimization Techniques 3 3 25 75 100
Part-4   Value Education 2 2 25 75 100
  Internship / Industrial Training (Summer vacation at the end of IV semester activity) 2 - 25 75 100
  Naan Mudhalvan 2 2 25 75 100
      28 30      
* The Hours of Elective -5 and Elective -6 are reduced by 1 and allotted to Naan Mudhalvan Course.
* Two extra credits are allotted to Naan Mudhalvan Course and hence the total credits of this semester accounts to 28 from 26

Semester VI

Part Course Code List of Courses Credits Hours per week (L/T/P) CIA ESE Total Mark
Part-3 U23MAT613 Core 13: Linear Algebra 4 6 25 75 100
U23MAT614 Core 14: Complex Analysis 4 6 25 75 100
U23MAT615 Core 15: Mechanics 4 6 25 75 100
U23MAA67 Elective-7. Programming Language with C++ with Practical 3 5 25 75 100
U23MAA68 Elective-8. Graph Theory and Applications 3 5 25 75 100
Part-4   Extension Activity 1 -      
Professional Competency Skill(Naan Mudhalvan) 2 2 25 75 100
      21 30      
* Professional Competency Skill is replaced with Naan Mudhalvan
* Total Credits: 142- (Minimum Credit to pass 142)
* The given structure is subject to change as per the instructions received from TANSCHE in future

 

M.Sc. Mathematics (2023-2024 onwards)

Semester I

Part Course Code Course Title Credits Hours per week (L/T/P) CIA ESE Total
PART A P23MTT11 CC1 - Algebraic Structures 5 7(6L+1T ) 25 75 100
P23MTT12 CC2 - Real Analysis I 5 7(6L+1T) 25 75 100
P23MTT13 CC3 - Ordinary Differential Equations 4 6(5L+1T) 25 75 100
P23MTE11 Elective-I(Departmental Elective) - (One from Group A) 3 5(4L+ 1T) 25 75 100
  Elective- II(Generic Elective - Women Empowerment ) 3 5(4L+ 1T) 25 75 100
    Total 20 30 - - 500

Semester II

Part Course Code Course Title Credits Hours per week (L/T/P) CIA ESE Total
PART A P23MTT21 CC4 – Advanced Algebra 5 6(5L+1T) 25 75 100  
P23MTT22 CC5 – Real Analysis II 5 6(5L+1T) 25 75 100  
P23MTT23 CC6 - Partial Differential Equations 4 6(5L+1T ) 25 75 100  
P23MTE21  Elective III (Department  Elective )-(One from Group B) 3 4(3L+ 1T ) 25 75 100  
 
  P23MTE22 Elective-IV(Generic Elective -Cyber Security 3 4(3L+2T) 25 75 100  
 
    NME-Skill Enhancement Course -SEC 1 2 4 Internal Assessment 100  
 
    Total 22 30 - - 600  

Semester III

Part Course Code Course Title Credits Hours per week (L/T/P) CIA ESE Total
PART A P23MTT31 CC7 - Complex Analysis 5 6(5L+1T ) 25 75 100
P23MTT32 CC8 - Topology 5 6(5L+1T) 25 75 100
P23MTT33 CC9 - Mechanics 5 6(5L+1T ) 25 75 100
P23MTT34 CC10-Advanced Optimization Techniques 4 6(5L+1T) 25 75 100
P23MTE31 Elective-V(Departmental Elective) - (One from Group D) 3 3(2L+ 1T ) 25 75 100
  NME-2 2 3(2L+ 1T ) 25 75 100
    Internship/Industrial Activity 2        
    Total 26 30 - - 600

Semester IV

Part Course Code Course Title Credits Hours per week (L/T/P) CIA ESE Total
PART A P23MTT41 CC11 – Functional Analysis 5 25 75 100
P23MTT42 CC12 – Differential Geometry 5 25 75 100
P23MTR41 Project with Viva  7 25 75 100
P23MTE41  Elective-VI (Department  Elective )(one from Group E) 3 25 75 100
(Industry Entrepreneurial 20% Theory and  80% Practical)
  P23MTS41 Skill  Enhancement course-SEC3-Professional Competency  Skill 2 25 75 100
Training for Competitive Examinations
·      Mathematics for NET / UGC - CSIR/ SET / TRB Competitive Examinations (2 hours)
·         General Studies for UPSC / TNPSC / Other Competitive Examinations (2 hours)
OR
 Mathematics for Advanced Research Studies (4 hours)
-Research Tools and Techniques(from From F)
  P23MTEX41 Extension Activity 1 Internal Assessment  
    Total 23 - - 500

Elective Courses

Semester I: Elective I   to be chosen from Group A

Group A: (PM/AP/IC/ITC)

  1. Number Theory and Cryptography
  2. Graph Theory and Applications
  3. Formal Languages and Automata Theory
  4. Programming in C++ and Numerical Methods

 

Semester II :  Elective III to be chosen from Group B

  Group B:(PM/AP/IC/ITC)

  1. Lie Groups and Lie Algebras
  2. Mathematical Programming
  3. Fuzzy Sets and Their Applications
  4. Discrete Mathematics

 

Semester III: 

Elective V to be chosen from Group D

Group D :( PM/AP/IC/ITC)

  1. Fluid Dynamics
  2. Probability Theory and Mathematical Statistics
  3. Machine Learning and Artificial Intelligence
  4. Stochastic Processes

 

Semester IV:

Elective VI to be chosen from Group E

Group E :(PM/AP/IC/ITC)

  1. MAT LAB
  2. .Mathematical documentation using LATEX / other packages
  3. Mathematical Python
  4. Mathematical Application MOOC course

 

Skill Enhancement Courses

Skill Enhancement Courses are chosen so as to keep in pace with the latest developments in the academic / industrial front and provides flexibility of choice by the stakeholders / institutions.

Group F: Skill Enhancement Courses) SEC-3

  • Computational Mathematics using SageMath
  • Office Automation and ICT Tools
  • Numerical analysis using Python
  • Differential equations using Python
  • Industrial Statistics with  MINITAB

 

SEMESTER -II /SEMESTER III   -NME I /NME II- SEC I /  SEC II

 GROUP- C

 

NME -Skill Enhancement Courses -SEC-I / SEC II

Students from other Departments may also choose any one of the following as NME

NME -1: Mathematics for Life Sciences/ Differential Equations 

NME-2: Mathematics for Social Sciences/ Numerical Methods

NME -3: Statistics for Life and Social Sciences/ Statistics

NME -4: Game Theory and Strategy/ Operation Research

NME -5:  History of Mathematics/ Mathematical Aptitude

Outside class hours

  • Health, Yoga and Physical Fitness
  • Library Information access and utilization
  • Employability Training
  • Students Social Responsibility

 Testing Pattern (25+75)

 

Internal Assessment

Theory Course: For theory courses there shall be three tests conducted by the faculty concerned and the average of the best two can be taken as the Continuous Internal Assessment (CIA) for a maximum of 25 marks. The duration of each test shall be one / one and a half hour.

Computer Laboratory Courses: For Computer Laboratory oriented Courses, there shall be two tests in Theory part and two tests in Laboratory part. Choose one best from Theory part and other best from the two Laboratory part. The average of the best two can be treated as the CIA for a maximum of 25 marks. The duration of each test shall be one / one and a half hour.

There is no improvement for CIA of both theory and laboratory, and, also for University End Semester Examination.

(v) Institution-Industry-Interaction (Industry aligned Courses)

Programmes /course work/ field study/ modelling the Industry Problem/ Statistical Analysis / Commerce-Industry related problems / MoU with Industry and the like activities.