BA / B.Sc. - Dual Specialization - Applied Mathematics (3+1 years)

DETAILS

The School of Liberal Studies (SoLS) offers one-of-a-kind transdisciplinary learning and field-based training in disciplines across the humanities, social sciences, and mathematics. 

SoLS offers the following Four-year undergraduate programmes (FYUP) as options for dual majors leading to a BA/BSc research honours degree in Liberal Studies:

  1. Applied Mathematics 
  2. Applied Statistics
  3. Economics with Data Science
  4. History 
  5. Literature
  6. Political Science
  7. Psychology and Behaviour
  8. Sociology

Example: A BSc in Liberal Studies with a double major in Psychology and Behaviour, and Economics with Data Science, could be beneficial not just for those keen on pursuing an MBA in HR or Finance, but also for those interested in financial markets and human behaviour. A BSc. in Liberal Studies, with a major in Economics Data Science, and History, could become a joint major programme geared towards understanding the evolving nature of societies and economic systems and applying their knowledge and training in policy paradigms. Similarly, B.Sc. in Liberal Studies, with a major in Psychology and Behaviour, and Political Science, could help unravel demographic and social changes influencing individual behaviour. The possibilities are endless.

 

Applied Mathematics

The programme is designed to develop expertise in various areas of mathematics and statistics. In the programme, the student will be well-prepared for industry and research. Through courses like Programming in Python Financial Mathematics, Control Theory, Sample Surveys and Design of Experiments, Statistical Inference and Decision Theory, Cryptography, and Stochastic Models, the students will be well prepared for the industry. Through courses like Representation Theory, Number Theory, Dynamical Systems, and Stochastic Processes, the students will be well prepared for research.

Duration

Duration of Program

3+1 Years (6/8 Semesters) Optional

Seats

Seats

*

Details

PEO1 

The graduates will have significant opportunities to get employment at the Local and National levels and can work as analysts, quality controllers, research assistants and in government sector jobs. 

PEO2 

The graduates will have skills in research, which will enable them to further carry out research in the direction of academia, as well as research for industry. 

 

PEO3 

In this process of learning various concepts in mathematics, the graduates will develop some valuable skills like analytical thinking, logical reasoning, critical thinking, and an overall discipline to use these skills.  

PEO4 

The graduate will be able to formulate, investigate and analyze scientifically real-life problems along with an ethical attitude, which works in a multidisciplinary team. 

The B. Sc.  Applied Mathematics and Applied Statistics prepare the students to be suitable for various roles in the industry and research as follows: 

  • Data Scientist/Analyst
  • Business Analyst, 
  • Mathematical Modellers, 
  • Statistical officer, 
  • Statistician, 
  • Teaching and Research,

Minimum 50% marks in class X and XII (any Stream)

  1. Math/Eco/ Political Sc. in 12th will be preferred.
  2. Non-Mathematics background students will undergo Remedial Mathematics module in Semester 1.

 

 

Aptitude Test/ Valid JEE Score/ CUET Score

Semester /Credits

Courses

Semester I (2 Credits)

 Introduction to Data (2 Credits)

Semester II (15 Credits)

Calculus I (3 credits); Real Analysis I (3 credits); Algebra I (3 credits); Probability and Statistics I (3 Credits); Introduction to Programming in Python (3 credits).

Semester III (15 Credits)

Linear Algebra (3 credits); Real Analysis II (3 credits), Probability and Statistics II (3 Credits); Calculus II (3 credits); Differential Equations and Its Applications (3 credits).

Semester IV (14 Credits)

Algebra II (3 credits); Operations Research (3 credits); Statistical Inference (3 credits); Real Analysis III (3 Credits), Data Structures and algorithms (3 Credits)

Semester V* (6 Credits)

B.Sc. Applied Mathematics

B.Sc. Applied Statistics

Complex Analysis (3 credits),

Discrete Mathematics and Graph Theory (3 Credits)

 

Sample Surveys and Design of Experiments (3 credits); Introduction to Stochastic Processes (3 Credits)

Semester VI (3 Credits)

Numerical Analysis (3 credits)

Time Series Analysis (3 credits)

Semester VII (2) Credits)

Seminar (2 Credits).

Semester VIII (10 Credits)

Dissertation (10 Credits)

  • * Students must decide whether to opt for B.Sc. Applied Mathematics, or B.Sc. Applied Statistics.
  • Minors        Semester-wise List of Electives

Semester

Bucket 1 (Mathematics)

Bucket 2 (Statistics)

Semester V (Choose any 4) 3 credits each

Advanced Operations Research, Introduction to Number Theory, Financial Mathematics, Control Theory, Artificial Neural Network and Machine Learning.

Statistical Inference and decision theory, Elements of Statistical Computing, Introduction to Applied Statistics, Discrete Mathematics and Graph Theory, Artificial Neural Network and Machine Learning.

Semester VI (Choose any 4) 3 credits each

Introduction to Dynamical Systems, Combinatorics, Network Theory, Time Series Analysis, Numerical Optimization, Computer Vision.

Economic and Official Statistics and Demography, Parametric Inference, Design and Analysis of Algorithms, Numerical Analysis, Microeconomics I.

Semester VII (Choose any 4) (3 Credits)

Representation Theory, Population Dynamics and Epidemiology, Fluid Dynamics, Integral Equations and Calculus of Variations, Industrial Mathematics.

Statistical Quality Control, Non-parametric and sequential methods, Cryptography and Network Security, Stochastic Models in Insurance, Microeconomics II.


  • Sc. Applied Mathematics and Statistics (3+1)
  • (Minor Courses for Non-mathematical Students (Credits 21))
  • Semester II (12 Credits):
  • Calculus I (3 credits); Real Analysis I (3 credits); Algebra I (3 credits); Probability and Statistics I (3 Credits)
  • Semester III (6 Credits):
  • Linear Algebra (3 credits), Differential Equations and Its Applications (3 credits).
  • Semester IV (3 Credits):
  • Operations Research (3 credits).

Details

PROGRAM EDUCATIONAL OBJECTIVES (PEOs)

PEO1 

The graduates will have significant opportunities to get employment at the Local and National levels and can work as analysts, quality controllers, research assistants and in government sector jobs. 

PEO2 

The graduates will have skills in research, which will enable them to further carry out research in the direction of academia, as well as research for industry. 

 

PEO3 

In this process of learning various concepts in mathematics, the graduates will develop some valuable skills like analytical thinking, logical reasoning, critical thinking, and an overall discipline to use these skills.  

PEO4 

The graduate will be able to formulate, investigate and analyze scientifically real-life problems along with an ethical attitude, which works in a multidisciplinary team. 

Career Prospects

The B. Sc.  Applied Mathematics and Applied Statistics prepare the students to be suitable for various roles in the industry and research as follows: 

  • Data Scientist/Analyst
  • Business Analyst, 
  • Mathematical Modellers, 
  • Statistical officer, 
  • Statistician, 
  • Teaching and Research,
Eligibility

Minimum 50% marks in class X and XII (any Stream)

  1. Math/Eco/ Political Sc. in 12th will be preferred.
  2. Non-Mathematics background students will undergo Remedial Mathematics module in Semester 1.

 

 

Selection Criteria

Aptitude Test/ Valid JEE Score/ CUET Score

Curriculum

Semester /Credits

Courses

Semester I (2 Credits)

 Introduction to Data (2 Credits)

Semester II (15 Credits)

Calculus I (3 credits); Real Analysis I (3 credits); Algebra I (3 credits); Probability and Statistics I (3 Credits); Introduction to Programming in Python (3 credits).

Semester III (15 Credits)

Linear Algebra (3 credits); Real Analysis II (3 credits), Probability and Statistics II (3 Credits); Calculus II (3 credits); Differential Equations and Its Applications (3 credits).

Semester IV (14 Credits)

Algebra II (3 credits); Operations Research (3 credits); Statistical Inference (3 credits); Real Analysis III (3 Credits), Data Structures and algorithms (3 Credits)

Semester V* (6 Credits)

B.Sc. Applied Mathematics

B.Sc. Applied Statistics

Complex Analysis (3 credits),

Discrete Mathematics and Graph Theory (3 Credits)

 

Sample Surveys and Design of Experiments (3 credits); Introduction to Stochastic Processes (3 Credits)

Semester VI (3 Credits)

Numerical Analysis (3 credits)

Time Series Analysis (3 credits)

Semester VII (2) Credits)

Seminar (2 Credits).

Semester VIII (10 Credits)

Dissertation (10 Credits)

  • * Students must decide whether to opt for B.Sc. Applied Mathematics, or B.Sc. Applied Statistics.
  • Minors        Semester-wise List of Electives

Semester

Bucket 1 (Mathematics)

Bucket 2 (Statistics)

Semester V (Choose any 4) 3 credits each

Advanced Operations Research, Introduction to Number Theory, Financial Mathematics, Control Theory, Artificial Neural Network and Machine Learning.

Statistical Inference and decision theory, Elements of Statistical Computing, Introduction to Applied Statistics, Discrete Mathematics and Graph Theory, Artificial Neural Network and Machine Learning.

Semester VI (Choose any 4) 3 credits each

Introduction to Dynamical Systems, Combinatorics, Network Theory, Time Series Analysis, Numerical Optimization, Computer Vision.

Economic and Official Statistics and Demography, Parametric Inference, Design and Analysis of Algorithms, Numerical Analysis, Microeconomics I.

Semester VII (Choose any 4) (3 Credits)

Representation Theory, Population Dynamics and Epidemiology, Fluid Dynamics, Integral Equations and Calculus of Variations, Industrial Mathematics.

Statistical Quality Control, Non-parametric and sequential methods, Cryptography and Network Security, Stochastic Models in Insurance, Microeconomics II.


  • Sc. Applied Mathematics and Statistics (3+1)
  • (Minor Courses for Non-mathematical Students (Credits 21))
  • Semester II (12 Credits):
  • Calculus I (3 credits); Real Analysis I (3 credits); Algebra I (3 credits); Probability and Statistics I (3 Credits)
  • Semester III (6 Credits):
  • Linear Algebra (3 credits), Differential Equations and Its Applications (3 credits).
  • Semester IV (3 Credits):
  • Operations Research (3 credits).
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