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B.Sc. (Hons./Hons. with Research) Mathematics

B.Sc. (Hons./Hons. with Research) Mathematics

Sharda School of Engineering & Science (SSES)

  • Programme Code

    SBR0302

  • Level

    Graduate

  • Duration

    4

About the Programme

This is a comprehensive undergraduate programme designed to provide a deep and rigorous understanding of mathematical theories, structures, and applications. It covers a wide range of core topics such as algebra, calculus, real and complex analysis, differential equations, linear algebra, and mathematical modelling, along with electives in areas like number theory, topology, and applied mathematics. The programme places strong emphasis on logical reasoning, problem-solving, and abstract thinking. The honors with research track offers students the opportunity to undertake independent research under faculty guidance, preparing them for advanced studies, academic research, or analytical roles in industry sectors such as finance, data science, and engineering.

Programme Educational Objectives (PEO’s)

  • PEO1. Provide a solid foundation in mathematics, give a flavour of some very advanced modern branches of mathematics, and develop interdisciplinary skills.
  • PEO2. Develop critical thinking, creative thinking, and self-confidence for eventual success in career
  • PEO3. To prepare the students to communicate mathematical ideas effectively and develop their ability to collaborate both intellectually and creatively in diverse contexts.
  • PEO4. Rewarding careers in private and government sectors such as Education, Industry, Banks, MNCs, and pursue higher studies.

Program Outcomes (PO’s)

  • PO1. Complex Problem Solving: Solve different kinds of problems in familiar and non-familiar contexts and apply the learning to real-life situations.
  • PO2. Critical Thinking: Analyze and synthesize data from a variety of sources and draw valid conclusions and support them with evidence and examples.
  • PO3. Creativity: Demonstrate the ability to think ‘out of the box’ and generate solutions to complex problems in unfamiliar contexts by applying concepts of multidisciplinary and interdisciplinary.
  • PO4. Analytical reasoning/thinking: Evaluate the reliability and relevance of evidence.
  • PO5. Research-related skills: Demonstrate the ability to acquire the understanding of basic research ethics and skills in practicing/doing ethics in the field/ in personal research work, regardless of the funding authority or field of study.
  • PO6. Communication Skills: Demonstrate the skills that enable them to express thoughts and ideas effectively in writing and orally and communicate with others using appropriate media.
  • PO7. Coordinating/collaborating with others: Demonstrate the ability to work effectively and respectfully with diverse teams using management skills to guide people to the right destination.
  • PO8. Digital and technological skills: Demonstrate the capability to access, evaluate, and use a variety of relevant information sources, and use appropriate software for analysis of data.
  • PO9. Value Inculcation: Instill integrity and identify ethical issues related to work, and follow ethical practices with or understand the perspective, experiences, or points of view of another individual or group, and to identify and understand other people’s emotions.
  • PO10. Sustainability Growth: Demonstrate the capability to lead a diverse team or individual to accomplish and participate in community-engaged services/ activities for promoting the well-being of society to mitigating the effects of environmental degradation, climate change, and pollution.
  • PO11. Multidisciplinary Life-long learning: Comprehensive knowledge and coherent understanding of the chosen disciplinary/interdisciplinary areas of study in a broad multidisciplinary context by inculcating a healthy attitude to be a lifelong learner.

This course is for individuals who...

have a strong interest in mathematical theory, problem-solving, and logical reasoning, and wish to pursue careers or further studies in mathematics, data science, research, or related fields.

Students who are looking for...

a strong foundation in analytical thinking, problem-solving, and advanced mathematical concepts for careers in research, education, finance, or technology.

Course Fee
For National Students
1st Year 110000 2nd Year 113300 3rd Year 116699 4th Year 120200
For International Students
Fee Per Semester Fee Per Year
NA 3400*
Programme Structure

S. No.

Course Code

Course Name

Teaching Load

Credits

Pre-Requisite/ Co-Requisite

Type of Course:

1. CC     2. DSE

3. Minor 4. SEC

5. AEC 6. VAC

  7.Project

 

THEORY

 

L

T

P

TOTAL

(hrs)

 

 

 

1.

MSM101

Foundation Course in Mathematics

4

0

0

4

4

Basic Mathematics upto 10+2

CC

2.

MTT1101

Programming for Problem Solving

2

0

0

2

2

 

DSE

3.

CMS102

Descriptive Statistics

3

0

0

3

3

Basic Mathematics upto 10+2

Minor

4.

EVT1129

Environmental Education

2

0

0

2

2

 

VAC

5.

DAT1101

Foundation of Data Science

 

3

0

0

3

3

 

CC

 

PRACTICALS

 

 

 

 

 

 

 

 

6.

SKP1010

Communicative Essentials-I

1

0

2

3

2

 

AEC

7.

DAP1151

Foundation of Data Science Lab

0

0

2

2

1

 

CC

8.

VOM103

Essential Excel Skills for Business

0

0

6

6

3

 

SEC

TOTAL CREDITS

 

 

 

 

20

 

 

S. No.

Course Code

Course Name

Teaching Load

Credits

Pre-Requisite/ Co-Requisite

Type of Course:

1. CC   2. DSE

3. Minor 4. SEC

5. AEC 6. VAC

  7.Project

 

THEORY

 

L

T

P

TOTAL

(hrs)

 

 

 

1.

CMS131

Matrix Analysis and Linear Algebra

4

0

0

4

4

Pre-requisite MSM101

CC

2.

MTT1202

Principal of Data Structures

3

0

0

3

3

 

CC

3.

CMS132

Mathematical Expectations & Probability Distributions

3

0

0

3

3

 

Minor

4.

VAC110

Yoga for Holistic Health

2

0

0

2

2

 

VAC

5.

IKT1104

Mulya Pravah

2

0

0

2

2

 

VAC

 

PRACTICALS

 

 

 

 

 

 

 

 

5.

MTP1251

Principal of Data Structures Lab

0

0

2

2

1

 

CC

6.

ARP102

Communicative English-2

1

0

2

3

2

 

AEC

7.

VOM104

Advanced Excel Skills for Business

0

0

6

6

3

Pre-requisite VOM103

SEC

TOTAL CREDITS

 

 

 

 

20

 

 

S. No.

Course Code

Course Name

Teaching Load

Credits

Pre-Requisite/ Co-Requisite

Type of Course:

1. CC     2. DSE

3. Minor 4. SEC

5. AEC 6. VAC

  7.Project

 

THEORY

 

L

T

P

TOTAL

(hrs)

 

 

 

1.

CMS201

Abstract Algebra

5

0

0

5

5

 

CC

2.

CMS202

Calculus

3

0

0

3

3

 

CC

3.

BDA215

Operation Research

3

0

0

3

3

 

  Minor

4.

IKT2202

General Hindi (Indian Language)

2

0

0

2

2

 

AEC

 

PRACTICALS

 

 

 

 

 

 

 

 

5.

AI3407

Prompt Engineering for AI and Data Science

0

0

4

4

2

 

DSE

6.

 

MTP2351

 

Calculus Lab

0

0

4

4

2

 

CC

7.

VOM2305

Data Visualization with Tableau and Power BI

0

0

6

6

3

 

SEC

8.

MTR2351

Research Based Learning-I(RBL-1)

 

0

0

2

2

0

 

Research Project

TOTAL CREDITS

 

 

 

 

20

 

 

S. No.

Course Code

Course Name

Teaching Load

Credits

Pre-Requisite/ Co-Requisite

Type of Course:

1. CC     2. DSE

3. Minor 4. SEC

5. AEC 6. VAC

  7. Project

 

THEORY

 

L

T

P

TOTAL

(hrs)

 

 

 

1.

CMS231

Real Analysis

4

0

0

4

4

 

CC

2.

CMS232

Ordinary Differential Equations and Laplace Transforms

4

0

0

4

4

 

CC

3.

MSM306

Mechanics

4

0

0

4

4

 

CC

 

Practicals

 

 

 

 

 

 

 

 

5.

MTP2451

Ordinary Differential Equations and Laplace Transforms Lab

0

0

4

4

2

 

CC

6.

AI3408

Supervised & unsupervised Learning Techniques

0

0

6

6

3

 

Minor

7.

CCU108

Community Connect

0

0

4

4

2

 

AEC

8.

MTR2452

Research Based Learning-2(RBL-2)

0

0

2

2

1

 

Project

TOTAL CREDITS

 

 

 

 

20

 

 

S. No.

Course Code

Course Name

Teaching Load

Credits

Pre-Requisite/ Co-Requisite

Type of Course:

1. CC     2. DSE

3. Minor 4. SEC

5. AEC 6. VAC

  7.Project

 

THEORY

 

L

T

P

TOTAL

(hrs.)

 

 

 

1.

MSM301

Complex Analysis

3

1

0

4

4

Pre-requisite CMS231

CC

2.

CMS302

Mathematical Modelling

4

0

0

4

4

Pre-requisite CMS232

CC

3.

CMS332

Introduction to Partial Differential Equations

4

0

0

4

4

Pre-requisite CMS232

CC

4.

CMS331

Numerical Methods

4

0

0

4

  4

Pre-requisite CMS202, 231

CC

 

Practical’s

 

 

 

 

 

 

 

 

5.

MTP3551

Introduction to Partial Differential Equations Lab

0

0

4

4

2

Co-requisite CMS332

CC

6.

MTP3552

Mathematical Modelling Lab

0

0

4

4

2

Co-requisite CMS302

CC

7.

MTR3551

Research Based Learning-III

(RBL-3)

0

0

2

2

0

Pre-requisite RBL002

Project

TOTAL CREDITS

 

 

 

 

20

 

 

S. No.

Course Code

Course Name

Teaching Load

Credits

Pre-Requisite/ Co-Requisite

Type of Course:

1. CC     2. DSE

3. Minor 4. SEC

5. AEC 6. VAC

  7.Project

 

THEORY

 

L

T

P

TOTAL

(hrs)

 

 

 

1.

CMS433

Integral Equations & Calculus of Variations

4

0

0

4

4

Pre-requisite CMS131,202,232

Minor

2.

MSM312

Discrete Mathematics

3

1

0

4

4

 

  Minor

4.

MTT3601

Metric Space

3

0

0

3

3

 

 

 

DSE

 

Practicals

 

 

 

 

 

 

 

 

5.

ARP306

Campus to Corporate

1

0

2

3

2

AEC

AEC

6.

AI3409

Advanced Machine Learning Techniques

0

0

8

8

4

 

Minor

7.

INC001

Industry Connect

0

0

4

4

2

 

Project

8.

MTR3652

Research Based Learning-IV

(RBL-4)

0

0

2

2

1

Pre-requisite

RBL003

Project

TOTAL CREDITS

 

 

 

 

20

 

 

S. No.

Course Code

Course Name

Teaching Load

Credits

Pre-Requisite/ Co-Requisite

Type of Course:

1. CC     2. DSE

3. Minor 4. SEC

5. AEC 6. VAC

  7.Project

 

THEORY

 

L

T

P

TOTAL

(hrs)

 

 

 

1.

CMS403

Number Theory

4

0

0

4

4

Pre-requisite MSM312

CC

2.

MTT4703

Introduction to MATLAB and its Applications

4

0

0

4

4

CO-REQUISITE

CC

3.

STT4704

Probability and Statistical Methods

4

0

0

4

4

CO-REQUISITE

CC

4.

MMT 209

 

Econometrics

 

3

0

0

3

3

CO-REQUISITE

CC

 

Practicals

 

 

 

 

 

 

 

 

5.

MMT 151

 

Mathematics Lab- I

0

0

4

4

2

CO-REQUISITE

CC

6.

MMT 152

Mathematics Lab II

0

0

4

4

2

CO-REQUISITE

CC

7.

MDA156

Econometrics Lab

 

0

0

2

2

1

 

CC

TOTAL CREDITS

 

 

 

 

20

 

 

S. No.

Course Code

Course Name

Teaching Load

Credits

Pre-Requisite/ Co-Requisite

Type of Course:

1. CC     2. DSE

3. Minor 4. SEC

5. AEC 6. VAC

  7.Project

 

THEORY

 

L

T

P

TOTAL

(hrs)

 

 

 

1.

MDA110

Time Series, Forecasting and Index Number

3

0

0

3

3

 

DSE

2.

MMT203

Linear Programming

4

0

0

4

4

Pre-requisite CMS131,202,232

Minor

3.

MMT107

 

Topology

4

0

0

4

4

 

Minor

4.

CMS401

Numerical Solution of Differential Equations

3

0

0

3

3

Pre-requisite CMS232, 331,332

DSE

 

Practicals

 

 

 

 

 

 

 

 

5.

MDA155

Time Series, Forecasting and Index Number Lab

0

0

2

2

1

 

DSE

6.

CMS451

Numerical Solution of Differential Equations Lab

0

0

2

2

1

Co-requisite CMS401

DSE

7.

MTR4854

Project

0

0

8

8

4

 

Project

TOTAL CREDITS

 

 

 

 

20

 

 

S. No.

Course Code

Course Name

Teaching Load

Credits

Pre-Requisite/ Co-Requisite

Type of Course:

1. CC     2. DSE

3. Minor 4. SEC

5. AEC 6. VAC

  7.Project

 

THEORY

 

L

T

P

TOTAL

(hrs)

 

 

 

1.

MMT108

DIFFERENTIAL GEOMETRY & TENSOR ANALYSIS

4

0

0

4

4

Pre-requisite MSM312

Minor

2.

MTT4703

Introduction to MATLAB and its Applications

4

0

0

4

4

CO-REQUISITE

CC

3.

STT4704

Probability and Statistical Methods

4

0

0

4

4

CO-REQUISITE

CC

4.

MMT 209

 

Econometrics

 

3

0

0

3

3

CO-REQUISITE

CC

 

Practicals

 

 

 

 

 

 

 

 

5.

MMT 151

 

Mathematics Lab- I

0

0

4

4

2

CO-REQUISITE

CC

6.

MMT 152

Mathematics Lab II

0

0

4

4

2

CO-REQUISITE

CC

7.

MDA156

Econometrics Lab

0

0

2

2

1

 

CC

8.

MTR4755

Research Project-I

0

0

6

6

3

 

Project

TOTAL CREDITS

 

 

 

 

23

 

 

S. No.

Course Code

Course Name

Teaching Load

Credits

Pre-Requisite/ Co-Requisite

Type of Course:

1. CC     2. DSE

3. Minor 4. SEC

5. AEC 6. VAC

  7.Project

 

THEORY

 

L

T

P

TOTAL

(hrs)

 

 

 

1.

MMT205

FUNCTIONAL ANALYSIS

3

0

0

3

4

 

CC

2.

MMT202

MEASURE THEORY

4

0

0

4

4

Pre-requisite CMS131,202,232

Minor

3.

MTR4856

 

Research Project-II

0

0

18

18

9

 

Project

TOTAL CREDITS

 

 

 

 

17

 

 

 

*Credited Research Project/Dissertation: Students of B.Sc. Mathematics have the option to choose a research project/dissertation of worth 12 credits (However student has to take 23 credits courses including 3 credits project in 7th semester and 17 credits courses including 9 credits project in 8th semester).  This can be undertaken for those who secure 75% and above marks in the first six semesters and wish to undertake research at the undergraduate level can choose a research stream in the fourth year. They should do a research project or dissertation under the guidance of a mathematics faculty member of the Sharda University. The students who secure 160 credits, including 12 credits from a research project/dissertation, are awarded B.Sc. (Hons. with Research) Mathematics.

Eligibility Criteria
For National Students
  • Sr. Secondary (10+2) with minimum 55% marks in PCM
  • Proficiency in English Communication.
For International Students The eligibility criterion for all programs for international applicants is minimum 50% in the qualifying examination and having studied the pre-requisite subjects for admission in to the desired program.
Career path you can choose after the course
  • Accountant
  • Personal Banker
  • Computer Programmer
  • Demographer
  • Economist
  • Technical Writer
  • Teacher

Students of this programme are placed in companies with an average annual package of 4.50 LPA to 6.00 LPA

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