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MA25C02 Linear Algebra [PDF]

MA25C02 Linear Algebra

Anna University Syllabus, Notes, Important Questions, Question Bank, Question Paper are available in Padeepz App

Vector Spaces Introduction to Vector Spaces, Examples, Subspaces, Linear
Combinations, Span, Generating Sets, Linear Dependence and Independence, Basis
and Dimension, Dimension of Subspaces.
Activities: Open-Source software, exercises to test linear dependence and
independence using rank, compute span and basis of a set of vectors, determine the
dimension of subspaces, and illustrate the concept of subspace and basis in 𝑹𝟐/𝑹𝟑 with
visualization. MA25C02 Linear Algebra Notes

Linear Transformations and Diagonalization: Null space, Range, Dimension
Theorem (statement only), Matrix representation of a linear transformation, Eigenvalues
& Eigenvectors, Diagonalizability.
Activities: Open-Source software, exercises to compute the matrix representation of a
linear transformation, find the null space and range of a matrix, and compute eigenvalues
and eigenvectors of a matrix. MA25C02 Linear Algebra Important Questions

Inner Product Spaces: Inner product, Norms, Cauchy, Schwarz inequality, Gram,
Schmidt orthogonalization, Simple problems (up to 𝑹𝟑).
Activities: Open-Source software, exercises to compute inner products and vector
norms. MA25C02 Linear Algebra Question Paper

Matrix Decomposition: Orthogonal transformation of a symmetric matrix to diagonal
form – Positive definite matrices, QR decomposition, Singular Value Decomposition
(SVD), Least squares solutions- simple problems (up to 3 × 3 𝑚𝑎𝑡𝑟𝑖𝑐𝑒𝑠).
Activities: Open-Source software, exercises to check if a matrix is positive definite,
perform QR decomposition and SVD using built-in functions.

References:
1. Friedberg, S. H., Insel, A. J., & Spence, L. E. (2022). Linear algebra. Pearson.
2. Lay, D. C., Lay, S. R., & McDonald, J. J. (2020). Linear algebra and its applications
with MATLAB. Pearson.
3. Bronson, R. (2011). Schaum’s outline of matrix operations. McGraw-Hill Education.
4. Strang, G., & Thomson, R. (2005). Linear algebra and its applications.
Brooks/Cole.

5. Lipschutz, S., & Lipson, M. (2009). Schaum’s outline of linear algebra. McGrawHill.
6. Kreyszig, E. (2018). Advanced engineering mathematics. Wiley India.

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ME25C03 Introduction to Mechanical Engineering

ME25C03 Introduction to Mechanical Engineering

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Engineering:

History and evolution of mechanical engineering, Basic mechanical engineering principles (force, motion, energy, work, power), Units and dimensions, SI system, Ethics and professionalism in engineering. Activities: Interactive quiz, Conversion between SI and other unit systems.

Mechanics of Materials and Structures: ME25C03 Introduction to Mechanical Engineering

Stress and strain, types of stresses (tensile, compressive, shear), Elasticity and plasticity, Mechanical properties of materials (strength, toughness, hardness), Introduction to bending, torsion, and axial loading, Simple structural analysis and design concepts. Activities: Demonstration of Simple truss or beam problems solved using software.

Energy Interactions:

System, Energy Transfer, Conduction, convection, and radiation, Working principle of Heat Engines, Refrigeration and HVAC systems. Activities: Demonstration of working model of internal combustion engine & refrigerator, Virtual demonstration of Thermodynamic cycles.

Machine Elements: ME25C03 Introduction to Mechanical Engineering

Gears, bearings, shafts, fasteners, couplings, Selection of machine components, Quality control and safety in mechanical engineering. Activities: Demonstration of working of Gears, bearings, etc. in a mechanical system.

Manufacturing Processes:

Casting, forming, machining & joining processes, CNC and additive manufacturing, overview of smart manufacturing. Activities: Demonstration of various machining processes, 3D printing of simple parts.

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EN25C01 English Essentials – I

EN25C01 English Essentials – I

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Speaking Skills:

Parts of Speech, Articles, Tenses, Sentence Structure, Types of Sentences, Subject-Verb Agreement, Synonyms and Antonyms, Prefixes and Suffixes, Idioms and Phrases, Self-Introduction, Expressing Oneself, Everyday Conversations, Team Interactions, Emotions, agreeing & disagreeing Activities: Self-Introduction, Just a Minute (JAM) Video recording, Brainstorming sessions, Situational role plays, Usage of Applications.

Listening Skills: EN25C01 English Essentials – I

Listening to Simple Conversations, Short Speeches / Stories, Extracting key information, Phonemes, Listening to Native Speakers, Listening to Various Accents. Activities: Gap fill exercises, Understanding tone and intent, Listening and imitating, Spell Bee

Reading Skills: EN25C01 English Essentials – I

Reading Strategies, Skimming and Scanning, active reading with short passages. Activities: Summarising, loud reading, Cloze reading, Reading comprehension, Reading newspaper articles, Reading Long passage and note making.

Drafting Skills:

Sentence Formation, Word Substitution, Keywords Development, Writing Paragraphs, Emails and Letters. Activities: Picture and poster interpretation, formal and informal letters, Official e-mails.

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EE25C04 Basic Electronics and Electrical Engineering

EE25C04 Basic Electronics and Electrical Engineering

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Basic Electronics:

Passive and active components – Resistors, Capacitors, InductorsTypes, features and specification, Energy band diagram of conductors, semiconductor, insulator – Intrinsic & extrinsic semiconductor – types. PN junction diode – zener diode.

Electrical Machines:

Construction, Principle of Operation, Basic Equations and Applications – DC Generators, DC Motors, Single Phase Transformer, Single phase Induction Motor, Three phase Induction Motor, Three phase Alternator, Stepper and BLDC motors.

Measurements and Instrumentation: EE25C04 Basic Electronics and Electrical Engineering

Functional elements of an instrument, Standards and calibration, Operating Principle, types – Moving Coil and Moving Iron meters, Measurement of three phase power, Energy Meter, Instrument Transformers-CT and PT, DSO- Block diagram- Data acquisition. Activities: Demonstration of measuring equipment’s

Basics of Power Systems:

Power system structure -Generation, Transmission and distribution , Various voltage levels, Earthing – methods of earthing, protective devicesswitch fuse unit- Miniature circuit breaker- moulded case circuit breaker- earth leakage circuit breaker, safety precautions and First Aid Activities: Demonstration of Earthing and safety precautions in electrical circuits

Sensors and Transducers EE25C04 Basic Electronics and Electrical Engineering

Solenoids, electro-pneumatic systems, proximity sensors, limit switches, piezoelectric, hall effect, photo sensors, Strain gauge, LVDT, piezo electric crystals, differential pressure transducer, optical and digital transducers, Smart sensors, Thermal Imagers

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EE25C03 Fundamentals of Electrical and Electronics Engineering

EE25C03 Fundamentals of Electrical and Electronics Engineering

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DC Circuits:

DC Circuits: Circuit Components: Resistor, Inductor, Capacitor, Independent and Dependent Sources, Ohm’s Law, Kirchhoff’s Laws, Series and Parallel Circuits, Simple problems AC Circuits: Introduction to AC Circuits (R, RL, RLC) and Parameters: Waveforms, Average value, RMS Value, Peak Value, Form Factor, Power factor.

Magnetic Circuits: EE25C03 Fundamentals of Electrical and Electronics Engineering

Introduction to Magnetic Circuits, Types -Basic definitions, Flux Linkage, Inductance, fringing, Properties of Magnetic materials, AC excitation, Hysteresis and Eddy Current losses. Analysis of simple composite magnetic circuitsSimple Problems, Applications of Magnetic circuits

Basics of Power Systems:

Introduction, Types of Distribution Systems, Generation: Hydro, Thermal, Atomic, Wind and Solar power plants (Qualitative Analysis) One-line diagram, Operating voltages in Power Systems.

Domestic Wiring: EE25C03 Fundamentals of Electrical and Electronics Engineering

Types of Domestic wiring, Cleat, Wooden/PVC, Toughened Rubber Sheath and Conduit wiring. Specifications of Wires, Types of Cables, Earthing system, Fuses and HRC fuses, Conductor and Insulating Materials, Classification, Properties

Analog And Digital Electronics: EE25C03 Fundamentals of Electrical and Electronics Engineering

Operation and Characteristics of electronic devices: PN Junction Diodes, Zener Diode and BJT. Applications: Diode Bridge Rectifier and Shunt Regulator. Digital Electronics: Basics Logic Gates-Flip Flops.

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CS25C03 Essentials of Computing

CS25C03 Essentials of Computing

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Computers:

Computer, Characteristics of Computers, History of Computers, Classification of Computers, Applications of Computers, Basic Organization of a Computer. Data Representation, Using spread sheets for basic operations on data and visualize the data.

Computational Thinking: CS25C03 Essentials of Computing

What is Computational Thinking, Decomposition, Abstraction, Real World Information to Computable Data, Number Systems, Conversions among Number systems, what is Logic, Boolean Logic, Applications of Propositional Logic.

Problem Solving Basics:

Problem Definition, Logical Reasoning, Decomposition, Software Design Concept of an Algorithm, Algorithm Representation – Algorithm Discovery – Iterative Structures – Recursive Structures – Efficiency and Correctness – Implementation of Algorithms – Fundamental Algorithms: Exchanging the values of two variables, Counting, Summation of a set of numbers, Factorial computation, Generation of Fibonacci Sequence, Reversing the digits of an Integer, Base Conversion.

Programming Languages: CS25C03 Essentials of Computing

Program Development Life Cycle, Program Design Tools, Algorithms, Flowcharts, Pseudocodes, Role of Algorithms, Programming Languages, Programming Paradigms Traditional Programming Concepts, Procedural Units, Language Implementation, Declarative Programming.

Scratch Programming:

What is Scratch, Scratch Programming Environment, Paint Editor, Scratch Blocks, Arithmetic Operators and Functions, Use Motion Commands, Pen Commands and Easy Draw, Looks Palette, Sound Palette, Power of Repeat, Data Types, Variables, Getting Input from Users. Making Decisions, Comparison Operators, Decision Structures, Logical Operators, Repetition, Loop Blocks, Stop Commands, Counters, Nested Loops, Recursion, String Processing, String Manipulation, Lists, Dynamic Lists, Numerical Lists, Searching and Sorting Lists.

App Development: CS25C03 Essentials of Computing

Building Apps using problem, solving techniques on any app development platform, Modeling, incremental and iterative, reuse, modularization, algorithmic thinking, abstracting and modularizing, decomposition, testing and debugging.

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CS25C02 Computer Programming Python

CS25C02 Computer Programming Python

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Introduction to Python:

Problem Solving, Problem Analysis Chart, Developing an Algorithm, Flowchart and Pseudocode, Interactive and Script Mode, Indentation, Comments, Error messages, Variables, Reserved Words, Data Types, Arithmetic operators and expressions, Built-in Functions, Importing from Packages.

Control Structures: CS25C02 Computer Programming Python

if, if-else, nested if, multi-way if-elif statements, while loop, for loop, nested loops, pass statements.

Functions:

Hiding redundancy, complexity; Parameters, arguments and return values; formal vs actual arguments, named arguments, Recursive & Lambda Functions.

Strings & Collections: CS25C02 Computer Programming Python

String Comparison, Formatting, Slicing, Splitting, Stripping, Lists, tuples, and dictionaries, basic list operators, searching and sorting lists; dictionary literals, adding and removing keys, accessing and replacing values.

File Operations: CS25C02 Computer Programming Python

Create, Open, Read, Write, Append and Close files. Manipulating directories, OS and Sys modules, reading/writing text and numbers, from/to a file; creating and reading a formatted file (csv, tab-separated, etc.).

Packages: CS25C02 Computer Programming Python

Built-in modules, User-Defined modules, Numpy, SciPy, Pandas, Scikitlearn.

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CS25C01 Computer Programming C

CS25C01 Computer Programming C

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Introduction to C:

Problem Solving, Problem Analysis Chart, Developing an Algorithm, Flowchart and Pseudocode, program structure, Compilation & Execution process, Interactive and Script mode, Comments, Indentation, Error messages, Primitive data types, Constants, Variables, Reserved words, Arithmetic, Relational, Logical, Bitwise, Assignment, Conditional operators, Input/Output Functions, Built-in Functions.

Control Structures: CS25C01 Computer Programming C

if, if-else, nested if, switch-case, while, do-while, for, nested loops, Jump statements.

Functions:

Function Declaration, Definition and Calling, Function Parameters and Return Types, Call by Value and Call by Reference, Recursive Functions, Scope and Lifetime of Variables, Header files and Modular Programming.

Strings & Pointers: CS25C01 Computer Programming C

One-dimensional and Multi-dimensional Arrays, Array operations and traversals, String Handling: String declaration, input/output, string library functions, Pointer arithmetic, Pointers and Arrays, Pointers to function, Dynamic memory allocation.

Structures & Unions: CS25C01 Computer Programming C

Defining and using structures, Array of structures, Pointers to structures, Unions and their uses, Enumerations.

File Operations:

Open, read, write, close file operations, Binary vs Text files, File pointers, Error handling in file operations.

Standard Libraries & Header Files:

Using standard libraries like stdio.h, stdlib.h, string.h, math.h, Creating and using user-defined header files and libraries.

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ME25C01 Engineering Drawing

ME25C01 Engineering Drawing

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Fundamentals: ME25C01 Syllabus Engineering Drawing

Drawing instruments, Drawing standards (BIS), Lettering
in engineering, Sheet layout, elements of dimensioning, Systems of dimensioning.
Free hand sketching of 2D & 3D objects, Conics – Ellipse, Parabola and Hyperbola.
Activities: Virtual Demonstration of Conics and Cycloids.

Orthographic Projection: ME25C01 Engineering Drawing

First angle projection, Projection of points, straight lines
and planes.

Projection of Solids: ME25C01 Notes Engineering Drawing

Simple Solids, Section of Solids, Development of Surfaces
Activities: Development of models of various solids and virtual demonstration of sectioning, CAD modelling of 2D objects.

Isometric Projection:

Isometric Scale, Projection of Simple solids.
Activities: Conversion of 3D into 2D orthographic views, CAD modelling of 3D
objects.

Perspective Projection: ME25C01 IQ Engineering Drawing

Simple solids projection Activities: Virtual demonstration of perspective views.

References: ME25C01 Engineering Drawing Important Questions

1. Venugopal, K., & Prabhu Raja, V. (2022). Engineering Drawing + AutoCAD. New
Age International Publishers.
2. Natarajan, K. V. (2015). A Text Book of Engineering Graphics. Dhanalakshmi
Publisher

Course Objectives:
● To impart knowledge on dimensions and drawing standards.
● To explore the orthographic projection of lines and solids.
● To provide the understanding of orthographic, isometric and perspective
views.

 

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UC25H01 Heritage of Tamils

UC25H01 Heritage of Tamils

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Language and Literature: UC25H01 Heritage of Tamils Notes

Language Families in India, Dravidian Languages, Tamil
as aClassical Language, Classical Literature in Tamil, Secular Nature of Sangam
Literature, Distributive Justice in Sangam Literature, Management Principles in
Thirukural, Tamil Epics and Impact of Buddhism & Jainism in Tamil Land, Bakthi
Literature Azhwars and Nayanmars, Forms of minor Poetry – Development of
Modern literature in Tamil – Contribution of Bharathiyar and Bharathidhasan.

Heritage – Rock Art Paintings to Modern Art – Sculpture: UC25H01 Heritage of Tamils Important Questions

Hero stone to modern
sculpture, Bronze icons, Tribes and their handicrafts, Art of temple car making,
Massive Terracotta sculptures, Village deities, Thiruvalluvar Statue at Kanyakumari,
Making of musical instruments, Mridhangam, Parai, Veenai, Yazh and
Nadhaswaram, Role of Temples in Social and Economic Life of Tamils.

Folk and Martial Arts: UC25H01 Heritage of Tamils Question Paper

Therukoothu, Karagattam, Villu Pattu, Kaniyan Koothu,
Oyillattam, Leatherpuppetry, Silambattam, Valari, Tiger dance, Sports and Games
of Tamils.

Thinai Concept of Tamils: UC25H01 Heritage of Tamils Question Bank

Flora and Fauna of Tamils & Aham and Puram Concept
from Tholkappiyam and Sangam Literature, Aram Concept of Tamils, Education and
Literacy during Sangam Age, Ancient Cities and Ports of Sangam Age, Export and
Import during Sangam Age, Overseas Conquest of Cholas.

Contribution of Tamils to Indian National Movement and Indian Culture: UC25H01 Heritage of Tamils NOtes
Contribution of Tamils to Indian Freedom Struggle, The Cultural Influence of Tamils
over the other parts of India, Self-Respect Movement, Role of Siddha Medicine in
Indigenous Systems of Medicine, Inscriptions & Manuscripts, Print History of Tamil
Books

References: UC25H01 Heritage of Tamils Notes
1. தமிழக வரலொறு, மக்களும் பண் பொடும், மக.மக. பிள்மள (தவளியீடு:
தமிழ்நொடு பொடநூல் மற்றும், கல்வியியல் பணிகள் கழகம்).
2. கணினித்தமிழ், முமனவர்இல. சுந்தரம். (விகடன் பிரசுரம்).
3. கீழடி, மவமக நதிக்கமரயில் ெங்ககொல நகர நொகரிகம் (ததொல்லியல் துமற
தவளியீடு)
4. தபொருமந, ஆற்றங்கமர நொகரிகம். (ததொல்லியல் துமற தவளியீடு)
5. Social Life of Tamils (Dr.K.K.Pillay) A joint publication of TNTB & ESC and RMRL – (in print)
6. Social Life of the Tamils, The Classical Period (Dr.S.Singaravelu) (Published by:
International Institute of Tamil Studies.
7. Historical Heritage of the Tamils (Dr.S.V.Subatamanian, Dr.K.D. Thirunavukkarasu)
(Published by: International Institute of Tamil Studies).
8. The Contributions of the Tamils to Indian Culture (Dr.M.Valarmathi) (Published by:
International Institute of Tamil Studies.)

9. Keeladi, ‘Sangam City C ivilization on the banks of river Vaigai’ (Jointly Published by:
Department ofArchaeology & Tamil Nadu Text Book and Educational Services Corporation,
Tamil Nadu)
10. Studies in the History of India with Special Reference to Tamil Nadu (Dr.K.K.Pillay)
(Publishedby: The Author)
11. Porunai Civilization (Jointly Published by: Department of Archaeology & Tamil Nadu Text
Bookand Educational Services Corporation, Tamil Nadu)
12. Journey of Civilization Indus to Vaigai (R.Balakrishnan) (Published by: RMRL), Reference
Book

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