B. Tech. in Mathematics & Computing
Mathematics, Department of
Programme Code: MT1
B. Tech.
Overall Credit Structure
| Course Category | Credits |
|---|---|
| BS (Basic Sciences) | 24 |
| GE (General Engineering) | 24 |
| HS (Humanities and Social Sciences) | 15 |
| DC (Departmental Core) | 54 |
| DE (Departmental Electives) | 18 |
| OC (Open Category) | 9 |
| Total Graded Credit Requirement | 144 |
| Non-Graded Units (NGU) | Units |
|---|---|
| Life skills | 2 |
| English language learning | 2 |
| Departmental project, internship experience | 2 |
| NCC / NSO / NSS | 2 |
| Total Non-Graded Units | 8 |
Programme Learning Outcomes
| PLO | Outcome |
|---|---|
| PLO 1 | Analyze, synthesize and communicate ideas. |
| PLO 2 | Demonstrate scientific temperament, integrity, personal and professional responsibility, and respect for others. |
| PLO 3 | Identify, analyze and solve challenging problems within and across disciplines. |
| PLO 4 | Apply their analytical skills to other areas of knowledge and design sustainable solutions to issues important in our society ethically. |
General Engineering Core
| Course No. | Course Title | L | T | P | Credits |
|---|---|---|---|---|---|
| COL1000 | Introduction to Programming | 3 | 0 | 2 | 4 |
| MEP1000 | Engineering Visualization | 0.5 | 0 | 3 | 2 |
| MEP1001 | Manufacturing for Product Innovation | 0.5 | 0 | 3 | 2 |
| ELL1000 | Introduction to Electrical Engineering | 2 | 1 | 2 | 4 |
| MTL2006 | Introduction to Probability and Stochastic Processes | 3 | 1 | 0 | 4 |
| COL1101 | Programming with Data Structures | 3 | 0 | 2 | 4 |
| AIL2001 | – | – | – | – |
Basic Science Core
| Course No. | Course Title | L | T | P | Credits |
|---|---|---|---|---|---|
| PYL1001 | Introduction to Electrodynamics | 2 | 1 | 0 | 3 |
| PYP1000 | Physics Laboratory | 0 | 0 | 4 | 2 |
| MTL1001 | Mathematics I Calculus | 3 | 1 | 0 | 4 |
| CMP1000 | Chemistry Laboratory | 0 | 0 | 4 | 2 |
| MTL1002 | Mathematics II Linear Algebra and Differential Equations | 3 | 1 | 0 | 4 |
| SBP1100 | Experimental Biology for Engineers | 0 | 0 | 2 | 1 |
Departmental Core
| Course No. | Course Title | L | T | P | Credits |
|---|---|---|---|---|---|
| MTD4050 | BTech Project | – | – | – | – |
| MTD4060 | BTech Honours Project | – | – | – | – |
| MTL1080 | Discrete Mathematical Structures | 3 | 1 | 0 | 4 |
| MTL2003 | Optimization Methods and Applications | 3 | 1 | 0 | 4 |
| MTL2004 | Advanced Linear Algebra | 3 | 0 | 0 | 3 |
| MTL2005 | Algebra | 3 | 1 | 0 | 4 |
| MTL2006 | Introduction to Probability and Stochastic Processes | 3 | 1 | 0 | 4 |
| MTL2007 | Numerical Analysis and Computation | 3 | 1 | 0 | 4 |
| MTL2022 | Introduction to Analysis | 3 | 1 | 0 | 4 |
| MTL2042 | Analysis and Design of Algorithms | 3 | 1 | 0 | 4 |
| MTL3075 | Partial Differential Equations and Applications | – | – | – | – |
| MTL3107 | Topology | 3 | 1 | 0 | 4 |
| MTL3111 | Functional Analysis and Applications | 3 | 1 | 0 | 4 |
| MTL3122 | Complex Analysis and Applications | – | – | – | – |
| MTL3145 | Introduction to Number Theory | – | – | – | – |
| MTL3158 | Operating Systems | – | – | – | – |
| MTL3176 | Graph Algorithms | 3 | 1 | 0 | 4 |
| MTL3183 | Theory of Computation | – | – | – | – |
| MTL3190 | Statistical Inference | 3 | 1 | 0 | 4 |
| MTP3090 | Numerical Analysis Computing Laboratory | – | – | – | – |
Programme Core
| Course No. | Course Title | L | T | P | Credits |
|---|---|---|---|---|---|
| MTL7146 | Methods of Applied Mathematics | 3 | 0 | 0 | 3 |
Environment and Sustainability Electives
| Course No. | Course Title | L | T | P | Credits |
|---|---|---|---|---|---|
| CHL7402 | Engineering and Nature-Based Solutions to Mitigate Climate Change | 3 | 0 | 0 | 3 |
| CML3080 | Sustainable Chemistry and Chemical Processes | 3 | 0 | 0 | 3 |
| CVL2001 | Climate Change and Adaptation | 2 | 0 | 0 | 2 |
| DDR8222 | Design for Sustainability | 1 | 0 | 4 | 3 |
| RDL7025 | Ecological Perspective of Growth and Development | 3 | 0 | 0 | 3 |
| RDL7700 | Biomass Production | 3 | 0 | 0 | 3 |
| RDL7705 | Rural Resources and Livelihoods | 2 | 0 | 2 | 3 |
| RDL7710 | Rural India and Planning for Development | 3 | 0 | 0 | 3 |
| RDL7724 | Rural Sanitation and Decentralized Wastewater Management | 3 | 0 | 0 | 3 |
| RDL7727 | Conservation and Recycling Practices in Rural Areas | 3 | 0 | 0 | 3 |
| RDL7740 | Technology for Utilization of Wasteland and Weeds | 3 | 0 | 0 | 3 |
| RDL7771 | Nanotechnology for Safe and Sustainable Agriculture | 3 | 0 | 0 | 3 |
Humanities and Social Sciences Electives
| Course No. | Course Title | L | T | P | Credits |
|---|---|---|---|---|---|
| HSL2100 | Introduction to Economics | 3 | 0 | 0 | 3 |
| HSL2102 | Macroeconomics | 3 | 0 | 0 | 3 |
| HSL2501 | Indian Epistemology | 3 | 0 | 0 | 3 |
| HSL2510 | Philosophy Through Puzzles and Paradoxes | 3 | 0 | 0 | 3 |
| HSL2605 | Sociological Perspectives on Organisations | 3 | 0 | 0 | 3 |
| HSL2710 | Words in the World | 3 | 0 | 0 | 3 |
| HSL2742 | Fundamentals of Language Sciences | 3 | 0 | 0 | 3 |
General Engineering Electives
| Course No. | Course Title | L | T | P | Credits |
|---|---|---|---|---|---|
| AML1000 | Engineering Mechanics | 3 | 1 | 0 | 4 |
| CVL2001 | Climate Change and Adaptation | 2 | 0 | 0 | 2 |
| ELL1205 | Signals and Systems | 3 | 1 | 0 | 4 |
| ELL1401 | Digital Electronics | 3 | 0 | 2 | 4 |
| MEL1140 | Thermodynamics | 3 | 0 | 2 | 4 |
| MLL1001 | Introduction to Materials Science and Engineering | 3 | 0 | 2 | 4 |
| MTL2008 | Introduction to Probability and Statistics | 3 | 1 | 0 | 4 |
Basic Science Electives
| Course No. | Course Title | L | T | P | Credits |
|---|---|---|---|---|---|
| CML1001 | Structural Insights into Atoms and Molecules | 2 | 1 | 0 | 3 |
| CML1002 | The Art and Science of Building Molecules and Materials | 2 | 1 | 0 | 3 |
| PYL1002 | Waves and Oscillations | 2 | 1 | 0 | 3 |
| PYL1003 | Mechanics and Special Theory of Relativity | 2 | 1 | 0 | 3 |
| SBL1100 | Introduction to Biology | 2 | 0 | 0 | 2 |
| SBL1102 | Modern Biology: Principles and Applications | 2 | 1 | 0 | 3 |
Biology Course (2-0-0) 2
| Course No. | Course Title | L | T | P | Credits |
|---|---|---|---|---|---|
| SBL1100 | Introduction to Biology | 2 | 0 | 0 | 2 |
| SBL1102 | Modern Biology: Principles and Applications | 2 | 1 | 0 | 3 |
MT Flexible Core (3-1-0) 4
| Course No. | Course Title | L | T | P | Credits |
|---|---|---|---|---|---|
| MTL2004 | Advanced Linear Algebra | 3 | 0 | 0 | 3 |
| MTL3107 | Topology | 3 | 1 | 0 | 4 |
| MTL3111 | Functional Analysis and Applications | 3 | 1 | 0 | 4 |
| MTL3176 | Graph Algorithms | 3 | 1 | 0 | 4 |
| MTL3190 | Statistical Inference | 3 | 1 | 0 | 4 |
| MTL7146 | Methods of Applied Mathematics | 3 | 0 | 0 | 3 |
Departmental Electives
| Course No. | Course Title | L | T | P | Credits |
|---|---|---|---|---|---|
| MTL7012 | Computational Methods for Differential Equations | 3 | 0 | 2 | 4 |
| MTL7030 | Fundamentals of Cryptography | 3 | 0 | 2 | 4 |
| MTL7237 | Introduction to Differential Geometry | 3 | 0 | 0 | 3 |
| MTL7239 | Representation Theory of Finite Groups | 3 | 0 | 0 | 3 |
| MTL7246 | Combinatorics | 3 | 0 | 0 | 3 |
| MTL7255 | Algebraic Curves | 3 | 0 | 0 | 3 |
| MTL7257 | Introduction to Algebraic Topology | 3 | 0 | 0 | 3 |
| MTL7258 | Introduction to Differential Topology | 3 | 0 | 0 | 3 |
| MTL7281 | Finite Element Theory and Applications | 3 | 0 | 0 | 3 |
| MTL7717 | Fuzzy Sets and Applications | 3 | 0 | 2 | 4 |
| MTL7725 | Stochastic Processes and its Applications | 3 | 0 | 0 | 3 |
| MTL7732 | Financial Mathematics | 3 | 0 | 2 | 4 |
| MTL7733 | Stochastic of Finance | 3 | 0 | 0 | 3 |
| MTL7736 | Analytic Number Theory | 3 | 0 | 0 | 3 |
| MTL7737 | Algebraic Number Theory | 3 | 0 | 0 | 3 |
| MTL7738 | Commutative Algebra | 3 | 0 | 0 | 3 |
| MTL7741 | Fractal Geometry | 3 | 0 | 0 | 3 |
| MTL7743 | Fourier Analysis | 3 | 0 | 0 | 3 |
| MTL7744 | Applied Harmonic Analysis | 3 | 0 | 0 | 3 |
| MTL7750 | Abstract Harmonic Analysis | 3 | 0 | 0 | 3 |
| MTL7761 | Basic Ergodic Theory | 3 | 0 | 0 | 3 |
| MTL7763 | Introduction to Game Theory | 3 | 0 | 0 | 3 |
| MTL7766 | Multivariate Statistical Analysis | 3 | 0 | 0 | 3 |
| MTL7768 | Graph theory | 3 | 0 | 0 | 3 |
| MTL7770 | Combinatorial Optimization | 3 | 0 | 0 | 3 |
| MTL7777 | Introduction to Statistical Learning | 2 | 0 | 2 | 3 |
| MTL7778 | Bayesian Statistics and Modelling | 3 | 0 | 0 | 3 |
| MTL7799 | Mathematical Analysis in Learning Theory | 3 | 0 | 0 | 3 |
| MTL7848 | Pseudodifferential Operators with Application in PDE | 3 | 0 | 0 | 3 |
| MTL7890 | Optimization Algorithms | 3 | 0 | 2 | 4 |
| MTL8880 | Parameterized Algorithms for NP-hard Problems | 3 | 0 | 0 | 3 |
Semester-wise Schedule
| Sem | Courses & Baskets | Hrs / week |
NGU | Credits |
|---|---|---|---|---|
| 1 |
COL1000 Introduction to Programming
(3.0-0.0-2.0) 4.00
MEP1000 Engineering Visualization
(0.5-0.0-3.0) 2.00
MEP1001 Manufacturing for Product Innovation
(0.5-0.0-3.0) 2.00
PYL1001 Introduction to Electrodynamics
(2.0-1.0-0.0) 3.00
PYP1000 Physics Laboratory
(0.0-0.0-4.0) 2.00
MTL1001 Mathematics I Calculus
(3.0-1.0-0.0) 4.00
DAN1100 Life Skills 1
(0.0-0.0-1.5) 0.75
English Language Courses (0-0-2) 1 NGU
|
26.5 | 1.75 | 17 |
| 2 |
ELL1000 Introduction to Electrical Engineering
(2.0-1.0-2.0) 4.00
CML1001 Structural Insights into Atoms and Molecules
(2.0-1.0-0.0) 3.00
CMP1000 Chemistry Laboratory
(0.0-0.0-4.0) 2.00
MTL1002 Mathematics II Linear Algebra and Differential Equations
(3.0-1.0-0.0) 4.00
MTL1080 Discrete Mathematical Structures
(3.0-1.0-0.0) 4.00
English Language Courses (0-0-2) 1 NGU
|
22 | 1 | 17 |
| 3 |
MTL2003 Optimization Methods and Applications
(3.0-1.0-0.0) 4.00
MTL2006 Introduction to Probability and Stochastic Processes
(3.0-1.0-0.0) 4.00
MTL2005 Algebra
(3.0-1.0-0.0) 4.00
COL1101 Programming with Data Structures
(3.0-0.0-2.0) 4.00
ES
(2-0-0) 2
|
19 | 0 | 18 |
| 4 |
MTL2007 Numerical Analysis and Computation
(3.0-1.0-0.0) 4.00
MTL2042 Analysis and Design of Algorithms
(3.0-1.0-0.0) 4.00
MTL2022 Introduction to Analysis
(3.0-1.0-0.0) 4.00
AIL2001 Introductory Data Science
(3.0-0.0-2.0) 4.00
DAN2100 Life Skills 2
(0.0-0.0-0.5) 0.25
ES
(3-0-0) 3
HS
(3-0-0) 3
|
24.5 | 0.75 | 22 |
| 5 |
MTL3075 Partial Differential Equations and Applications
(3.0-1.0-0.0) 4.00
MTP3090 Numerical Analysis Computing Laboratory
(0.0-0.0-4.0) 2.00
SBP1100 Experimental Biology for Engineers
(0.0-0.0-2.0) 1.00
HS
(3-0-0) 3
DE 1
Biology Course
(2-0-0) 2
MT Flexible Core
(3-1-0) 4
|
22 | 0 | 19 |
| 6 |
GE
(3-1-0) 4
BS
(2-1-0) 3
HS
(3-0-0) 3
DE 2
MT Flexible Core
(3-1-0) 4
MT Flexible Core
(3-1-0) 4
|
21 | 0 | 21 |
| 7 |
MTD4050 BTech Project
(0.0-0.0-6.0) 3.00
HS
(3-0-0) 3
DE 3
DE 4
OC
(3-0-0) 3
|
18 | 0 | 15 |
| 8 |
HS
(3-0-0) 3
DE 5
DE 6
OC
(3-0-0) 3
OC
(3-0-0) 3
|
15 | 0 | 15 |
| Total | 168 | 3.5 | 144 | |
Notes
- For B. Tech. (Hons), students have to do BTP2 (7 credits) in the 8th semester. To make up the remaining 11 credits, they need to do at least 2 more flexible cores (8 credits) and another flexible core or DE (4 or 3 credits).
To obtain a B Tech (Hons), a student must have a CGPA of 8.0 or above at the end of the sixth semester and must have completed all the compulsory core courses at the end of the sixth semester. The student must provide the choice to pursue B.Tech. (Hons) at the end of the sixth semester of the B.Tech. - If a student chooses to do more than 3 flexible core courses from the list, the extra credits will be counted towards fulfillment of Departmental Electives (DE). In the course code, flexible core courses have the second digit as 1.