System of Linear Equations
Matrix rank, row-echelon form, Gaussian elimination and applications of linear systems
Know your syllabus. Know what’s ready.
Browse the first-year VIT Pune DESH curriculum by course and topic. Availability refers to Abhyaas VIT study materials, not to the university syllabus itself.
25Course entries
13Orderable study blocks
2026–27Academic pattern
Source: Vishwakarma Institute of Technology, DESH, Pattern 2026–27, Issue 01 Rev 02 dated 03 July 2026 (63-page syllabus). Page references appear beside each course. Some courses use sections or topical blocks rather than officially numbered units, so these are labelled accordingly.
Available to order Upcoming Source outline only
MODULE1
10 coursesModule 1
Module-specific subjects listed in the official first-year structure
ES26101 · 4 CREDITSLinear Algebra
Available
Linear Algebra
The PDF groups this subject by topics, not numbered units. Abhyaas labels these six study blocks for navigation.
Available
Vector Spaces
Subspaces, linear combinations, span, dependence and independence, basis, dimension, row/column/null space
Inner Product Spaces
Norm, distance, orthogonality, projection, Gram–Schmidt and least-squares fitting
Linear Transformation
Matrix representations, kernel and range, rank–nullity, one-to-one/onto and geometric transformations
Eigenvalues and Eigenvectors
Algebraic/geometric multiplicity, Cayley–Hamilton theorem and matrix diagonalisation
Quadratic Forms
Orthogonal diagonalisation, nature and canonical form, principal axes theorem and singular value decomposition
ES26105 · 3 CREDITSBasics of Engineering
1 of 6 available
Basics of Engineering
The Connected World: Computing, Networks and Communication
Internet, OSI/TCP-IP, wired and wireless networks, 1G–5G, IoT, cloud and cybersecurity
Power, Circuits & the Electrical World
Voltage, current, AC/DC circuits, energy sources, power grids and semiconductors
Materials, Machines & Manufacturing
Metals, ceramics, polymers and composites; casting, forming, machining, welding, quality, additive manufacturing, robotics and automation
Structures, Infrastructures & the Built Environment
Loads, structural systems, earthquake-resistant design, smart cities, building bylaws and measurement
Emerging and Frontier Technologies
AI/ML/DL, blockchain, nanotechnology, satellites and space technology
Engineering Thinking: Design Ethics and Practices
Design process, systems thinking, standards, case studies, sustainability and intellectual property
ES26106 · 2 CREDITSUniversal Human Values
Upcoming
Universal Human Values
Universal Human Values
Value education, self-regulation and holistic physical/mental wellbeing
Human Aspirations and Self-Exploration
Human aspirations, needs, prosperity, self-exploration and harmony
Concept of Human Values
Trust, respect, affection, care and social harmony
Harmony in Family
Human relationships, family values and responsibilities
Harmony in Society and Nature
Interconnectedness, four orders of nature and coexistence
Human Values and Ethics in Professional Life
Professional conduct, ethics and responsibility
ES26107 · 1 CREDITIndian Knowledge System
Upcoming
Indian Knowledge System
The PDF organises this course into sections/topics. The numbered rows below are navigation aids, not official unit numbers.
Introduction to Indian Knowledge System
Vedas, Vedangas, Sanskrit and ancient universities
Arts, Literature, Culture and Scholars
Traditional art forms and contributions of Indian scholars
Science and Mathematics
Historical mathematical concepts, science and knowledge traditions
Engineering and Technology Heritage
Engineering, materials, metallurgy and the Indus civilisation
Bharatiya Civilization
Historical civilisations, economy, management, architecture and temples
Life, Environment and Health
Nature, Panchabhutas, ecology, agriculture and Ayurveda
ES26108A · 2 CREDITSLanguage: English
Upcoming
Language: English
The course is listed in the official course structure, but a unit-wise breakdown is not provided in this uploaded syllabus. Study materials: upcoming.
ES26108B · 2 CREDITSLanguage: German
Upcoming
Language: German
The course is listed in the official course structure, but a unit-wise breakdown is not provided in this uploaded syllabus. Study materials: upcoming.
ES26108C · 2 CREDITSLanguage: Japanese
Upcoming
Language: Japanese
The course is listed in the official course structure, but a unit-wise breakdown is not provided in this uploaded syllabus. Study materials: upcoming.
ES26108D · 2 CREDITSLanguage: Chinese
Upcoming
Language: Chinese
The course is listed in the official course structure, but a unit-wise breakdown is not provided in this uploaded syllabus. Study materials: upcoming.
ES26109 · 2 CREDITSStudent Activity
Upcoming
Student Activity
The PDF organises this course into sections/topics. The numbered rows below are navigation aids, not official unit numbers.
Government Welfare Schemes
Citizen, senior-citizen and farmer schemes, eligibility, access and fraud prevention
Digital Learning and Certifications
Infosys Springboard and documented self-learning
Psychology for Students
Self-awareness, behaviour, motivation and stress coping
Career Self-Evaluation
SMART goals, SWOT/SWOC analysis and career planning
Listening and Writing Skills
Listening practice, resumes, cover letters and professional email writing
Time Management
Priorities, schedules, calendars and time blocking
Job Interviews
Interview types, preparation, STAR method and mock interviews
Social Activity
Community service, teamwork and documentation of a social activity
ES26110 · 0 CREDITSInduction Training
Upcoming
Induction Training
The course is listed in the official course structure, but a unit-wise breakdown is not provided in this uploaded syllabus. Study materials: upcoming.
MODULE2
8 coursesModule 2
Alternative module subjects listed in the first-year structure
ES26201 · 4 CREDITSCalculus
Upcoming
Calculus
The PDF groups this subject by topics, not numbered units. Abhyaas labels these six study blocks for navigation.
Infinite Series and Expansion of Functions
Convergence tests, alternating and power series, Taylor and Maclaurin expansions
Partial Differentiation
First/higher derivatives, Euler’s theorem, total and implicit derivatives
Applications of Partial Derivatives
Two-variable extrema, Lagrange multipliers and Jacobians
Vector Differentiation
Gradient, directional derivative, divergence, curl and scalar potential
Multiple Integration and Applications
Double/triple integration, polar coordinates, changing integration order and areas
Linear Differential Equations and Applications
Higher-order linear differential equations and standard solution methods
ES26205 · 3 CREDITSEngineering Robotics
Upcoming
Engineering Robotics
The PDF groups this subject by topics, not numbered units. Abhyaas labels these six study blocks for navigation.
Electromechanical Systems
Control systems, robots, configurations, degrees of freedom
Microcontroller
Renesas ARM Cortex-M4, architecture, peripherals, timers, PWM and interrupts
Sensors
Proximity, tactile, light, Hall-effect, temperature and ultrasonic sensors
Communication
Serial I/O, I²C, SPI and CAN
Actuators
Pneumatic, hydraulic, DC, BLDC, stepper and servo motors
End Effectors and Robot Control
Grippers, forward/inverse kinematics and transformation matrices
ES26206 · 3 CREDITSEnvironmental Studies
Upcoming
Environmental Studies
Introduction to Environmental Sustainability, SDG, ESG
Sustainability, SDGs, global protocols and ESG
Water Quality Characteristic
Water parameters, pH, turbidity, hardness and total/dissolved solids
Wastewater Quality Characteristics
DO, BOD, COD, oils, heavy metals and wastewater assessment
Basics of Air Pollution and Meteorology
Air pollutants, weather factors and Air Quality Index
Noise Pollution Monitoring and Control
Decibels, SPL and noise mitigation
Municipal Solid Waste Generation and Characteristics
Municipal waste sources, composition and disposal
ES26207 · 2 CREDITSDesign Thinking and Ideation
Upcoming
Design Thinking and Ideation
The PDF groups this subject by topics, not numbered units. Abhyaas labels these six study blocks for navigation.
Introduction to Design Thinking
Innovation, invention, definitions, principles and examples
Theories and Phases
Empathy, define, ideate, prototype and test
Design Thinking Tools and Techniques
Five Ws, point of view, crazy eights, journey and persona maps
Ideation
Brainstorming, SCAMPER, mind mapping, sketching and storyboarding
Storytelling
Story structures and communicating an innovative idea
Pitching
Pitch planning and presentation of a finalised concept
ES26208A · 2 CREDITSLanguage: FCTC
Upcoming
Language: FCTC
The course is listed in the official course structure, but a unit-wise breakdown is not provided in this uploaded syllabus. Study materials: upcoming.
ES26208B · 2 CREDITSLanguage: German
Upcoming
Language: German
The course is listed in the official course structure, but a unit-wise breakdown is not provided in this uploaded syllabus. Study materials: upcoming.
ES26208C · 2 CREDITSLanguage: Japanese
Upcoming
Language: Japanese
The course is listed in the official course structure, but a unit-wise breakdown is not provided in this uploaded syllabus. Study materials: upcoming.
ES26208D · 2 CREDITSLanguage: Chinese
Upcoming
Language: Chinese
The course is listed in the official course structure, but a unit-wise breakdown is not provided in this uploaded syllabus. Study materials: upcoming.
SEMESTER1
3 coursesSemester 1 common courses
Courses studied irrespective of module
ES26102 · 1 CREDITEngineering Design and Innovation 1
Upcoming
Engineering Design and Innovation 1
The PDF organises this course into sections/topics. The numbered rows below are navigation aids, not official unit numbers.
Project-Centric Learning
PCL philosophy, team formation and project planning
Domains, Tools and Technology
Technology mapping, engineering tools and socially relevant domains
Literature Review and Synopsis
Brainstorming, literature review, problem statement and project synopsis
Project Design
Feasible designs and problem-solving methods
Prototype Development and Testing
Fabrication, testing, validation and refinement
Project Report and Presentation
Report writing, poster and final presentation
ES26103 · 2 CREDITSLogic and Quantitative Aptitude 1
Upcoming
Logic and Quantitative Aptitude 1
Career Foundation and Assessment Strategy
Recruitment roles, assessment formats, negative marking and attempt strategy
Quantitative Aptitude I
Number properties, HCF/LCM, divisibility, ratios, mixtures and proportions
Quantitative Aptitude II
Percentages, growth, profit/loss, speed, distance and work
Counting and Chance
Permutations, combinations, probability and expected value
Data Interpretation
Tables, charts, caselets, data sufficiency and estimation
Digital Practice and Professional Identity
Version control, digital hygiene, AI literacy and professional profile
ES26104 · 4 CREDITSProgramming for Engineers
Available
Programming for Engineers
Fundamentals of Python Programming
Programming languages, Python basics, variables, identifiers, keywords, indentation and I/O
Operators
Arithmetic, relational, logical and bitwise operators, precedence, math functions and strings
Flow Control and Loops
if/elif/else, nested conditions, for/while, range, break, continue and pass
In-built Data Structures in Python
Lists, tuples, sets, dictionaries, mutability, conversion and comprehensions
Functions
Definitions, arguments, lambda, recursion, returns, defaults and keyword parameters
File Handling, NumPy and Matplotlib
Files, NumPy arrays, broadcasting and Matplotlib visualisation
SEMESTER2
4 coursesSemester 2 common courses
Courses studied irrespective of module
ES26202 · 1 CREDITEngineering Design and Innovation 2
Upcoming
Engineering Design and Innovation 2
The PDF organises this course into sections/topics. The numbered rows below are navigation aids, not official unit numbers.
Project-Centric Learning
Project groups and project-centric learning concepts
Domains, Tools and Technologies
Project domains, techniques and tools
Literature Review and Planning
Problem statements, project synopsis and planning
Project Design
Engineering methods and feasible solution design
Prototype Development and Testing
Implementation, testing and refinement
Project Report and Presentation
Reporting and communicating project outcomes
ES26203 · 2 CREDITSLogic and Quantitative Aptitude 2
Upcoming
Logic and Quantitative Aptitude 2
Consolidation and Logical Reasoning I
Review, arrangements, puzzles and systematic deduction
Logical Reasoning II
Syllogisms, statements, analogies, series and ranking
Spatial and Abstract Reasoning
Patterns, figures, rotation, paper folding, cubes and dice
Behavioural and Gamified Assessment
Cognitive tasks, situational judgement and work-style inventories
Professional Communication and Documentation
Email, professional tone, technical writing and documentation
Workplace Conduct, Employment Systems and Professional Portfolio
Meetings, contracts, internships and public professional portfolio
ES26204 · 4 CREDITSEngineering Problem Solving
Upcoming
Engineering Problem Solving
Problem Solving & C Programming Fundamentals
Algorithms, flowcharts, pseudocode, program structure and debugging
C Language Elements, Operators & Control Structures
C data types, operators, selection and looping
Fundamentals of Algorithms
Swapping, Fibonacci, number conversions, factors and prime numbers
Functions, Recursion & Basic Structures
Functions, recursion, C structs and file handling
Array & String Techniques
Array operations, searching and string handling
Algorithmic Strategies
Divide-and-conquer, analogy and working-backwards strategies
ES26209 · 0 CREDITSIndian Democracy and Constitution
Upcoming
Indian Democracy and Constitution
The PDF organises this course into sections/topics. The numbered rows below are navigation aids, not official unit numbers.
Democracy in India
Indian parliamentary democracy, Lok Sabha and Rajya Sabha
Fundamental Rights and Duties
Constitutional rights, duties and national integration
Good Governance
Governance and Directive Principles of State Policy
Introduction to the Constitution
History, constitutionalism and constitutional features
Preamble and Fundamental Rights
Preamble and constitutional articles
Directive Principles
Directive Principles of State Policy and Fundamental Duties
STUDY MATERIALS
Build a plan Only available units can be ordered.
Linear Algebra and PFE are available across six blocks. For BOE, only Unit 3 is available. Everything else is upcoming.