B. Tech First Year Computer Science Subjects and Syllabus

One of the most demanding course in present time is B Tech in Computer Science. It is only because whole system is now dependent on IT sector. From Railways ticket booking to Banking, Air Tickets, Government And Private Exams, Online Class all are the proof.

So there is no any chance of disappearing the IT Sector. It is true that here is very lots of competitions but opportunity is also a lot.

List of first year Computer Science Subjects

Actually the truth is that almost all college and universities have common curriculum for B tech Year Students Because now AICTE is handling the syllabus for all universities and colleges.

And Most of them are very similar to your 11th and 12th subjects.

Below in the form of Table I have mentioned all the subjects of first year computer which you may study in your B Tech first year curriculum.

These subjects are..

Subjects         Topics
Mathematics - l
  • Matrices
  • Differential Calculus- I
  • Differential Calculus-II
  • Multivariable Calculus-I
  •  Vector Calculus
Basic Electrical Engineering
  • DC Circuits
  • Steady- State Analysis of Single Phase AC Circuits
  • Transformers
  • Electrical machines
  •  Electrical Installations
Programming for Problem Solving
  • Introduction to Programming
  • Arithmetic expressions & Conditional Branching
  • Loops & Functions
  • Arrays & Basic Algorithms
  • Pointer& File Handling
Engineering Graphics and Design
  • Introduction to Engineering Drawing, Orthographic Projections
  • Projections and Sections of Regular Solid
  • Isometric Projections
  • Computer Graphics
  • Demonstration of a simple team design project
  • Relativistic Mechanics
  • Electromagnetic Field Theory
  • Quantum Mechanics
  • Wave Optics
  • Fibre Optics & Laser
  • Atomic and Molecular Structure
  • Spectroscopic techniques and Applications
  • Electrochemistry, Corrosion
  • Water Analysis, Fuels
  • Ordinary Differential Equation of Higher Order
  • Multivariable Calculus-II
  • Sequences and Series
  • Complex Variable – Differentiation
  • Complex Variable –Integration
Professional English
  • Basics of Technical English
  • Components of Technical Writing
  • Basic Technical Writing Skills
  • Common Grammatical Errors & Technical Style
  • Presentation Strategies & Oral Communications

Syllabus of First Year Computer Science


Unit/Module 1: Matrices 
Types of Matrices: Symmetric, Skew-symmetric and Orthogonal Matrices; Complex
Matrices, Inverse and Rank of matrix using elementary transformations, Rank-Nullity
theorem; System of linear equations, Characteristic equation, Cayley-Hamilton Theorem and
its application, Eigen values and eigenvectors; Diagonalisation of a Matrix,

Unit/Module 2: Differential Calculus- I 
Introduction to limits, continuity and differentiability, Rolle’s Theorem, Lagrange’s Mean
value theorem and Cauchy mean value theorem, Successive Differentiation (nth order
derivatives), Leibnitz theorem and its application, Envelope, Involutes and Evolutes, Curve
tracing: Cartesian and Polar co-ordinates

Unit/Module 3: Differential Calculus-II
Partial derivatives, Total derivative, Euler’s Theorem for homogeneous functions, Taylor and
Maclaurin’s theorems for a function of one and two variables, Maxima and Minima of
functions of several variables, Lagrange Method of Multipliers, Jacobians, Approximation of

Unit/Module 4: Multivariable Calculus-I 
Multiple integration: Double integral, Triple integral, Change of order of integration,
Change of variables, Application: Areas and volumes, Center of mass and center of gravity
(Constant and variable densities)

Unit/Module 5: Vector Calculus 
Vector differentiation: Gradient, Curl and Divergence and their Physical interpretation,
Directional derivatives, Tangent and Normal planes.
Vector Integration: Line integral, Surface integral, Volume integral, Gauss’s Divergence
theorem, Green’s theorem, Stoke’s theorem ( without proof) and their applications.


Unit/Module – 1: DC Circuits 
Electrical circuit elements (R, L and C), Concept of active and passive elements, voltage and
current sources, concept of linearity and linear network, unilateral and bilateral elements,
Kirchhoff‟s laws, Loop and nodal methods of analysis, Star-delta transformation,
Superposition theorem, Thevenin theorem, Norton theorem.

Unit/Module – 2: Steady- State Analysis of Single Phase AC Circuits
Representation of Sinusoidal waveforms – Average and effective values, Form and peak
factors, Concept of phasors, phasor representation of sinusoidally varying voltage and
Analysis of single phase AC Circuits consisting of R, L, C, RL, RC, RLC combinations (Series
and Parallel), Apparent, active & reactive power, Power factor, power factor improvement.
Concept of Resonance in series & parallel circuits, bandwidth and quality factor.
Three phase balanced circuits, voltage and current relations in star and delta connections.

Unit/Module – 3 : Transformers 
Magnetic materials, BH characteristics, ideal and practical transformer, equivalent circuit,
losses in transformers, regulation and efficiency. Auto-transformer and three-phase
transformer connections.

Unit/Module –4 : Electrical machines
DC machines: Principle & Construction, Types, EMF equation of generator and torque
equation of motor, applications of DC motors (simple numerical problems)
Three Phase Induction Motor: Principle & Construction, Types, Slip-torque characteristics,
Applications (Numerical problems related to slip only)
Single Phase Induction motor: Principle of operation and introduction to methods of
starting, applications.
Three Phase Synchronous Machines: Principle of operation of alternator and synchronous
motor and their applications.

Unit/Module –5 : Electrical Installations
Components of LT Switchgear: Switch Fuse Unit (SFU), MCB, ELCB, MCCB, Types of Wires
and Cables, Importance of earthing. Types of Batteries, Important characteristics for
Batteries.Elementary calculations for energy consumption and savings, battery backup.

Programming for Problem Solving

Unit/Module – 1 : Introduction to Programming 
Introduction to components of a computer system: Memory, processor, I/O Devices, storage,
operating system, Concept of assembler, compiler, interpreter, loader and linker.
Idea of Algorithm: Representation of Algorithm, Flowchart, Pseudo code with examples, From
algorithms to programs, source code.
Programming Basics: Structure of C program, writing and executing the first C program, Syntax
and logical errors in compilation, object and executable code. Components of C language.
Standard I/O in C, Fundamental data types, Variables and memory locations, Storage classes.

Unit/Module – 2 : Arithmetic expressions & Conditional Branching
Arithmetic expressions and precedence:Operators and expression using numeric and relational
operators, mixed operands, type conversion, logical operators, bit operations, assignment
operator, operator precedence and associativity.
Conditional Branching: Applying if and switch statements, nesting if and else, use of break and
default with switch.

Unit/Module – 3 : Loops & Functions
Iteration and loops: use of while, do while and for loops, multiple loop variables, use of break and
continue statements.
Functions: Introduction, types of functions, functions with array, passing parameters to functions,
call by value, call by reference, recursive functions.

Unit/Module – 4 : Arrays & Basic Algorithms
Arrays: Array notation and representation, manipulating array elements, using multi dimensional
arrays. Character arrays and strings, Structure, union, enumerated data types, Array of structures,
Passing arrays to functions.
Basic Algorithms: Searching &Basic Sorting Algorithms (Bubble, Insertion and Selection),
Finding roots of equations, Notion of order of complexity.

Unit/Module – 5 : Pointer& File Handling
Pointers:Introduction, declaration, applications, Introduction to dynamic memory allocation
(malloc, calloc, realloc, free), Use of pointers in self-referential structures, notion of linked list (no
File handling:File I/O functions, Standard C preprocessors, defining and calling macros,
command-line arguments.

Engineering Graphics and Design

Unit/Module 1: Introduction to Engineering Drawing, Orthographic Projections 
Principles of Engineering Graphics and their significance, usage of Drawing instruments, lettering, Scales –
Plain and Diagonal Scales
Principles of Orthographic Projections – Conventions – Projections of Points and Lines inclined to both
planes; Projections of planes inclined Planes – Auxiliary Planes.

Unit/Module 2: Projections and Sections of Regular Solids 
Sections in lined to both the Planes – Auxiliary Views; Simple annotation, dimensioning and scale. Floor
plans the include: windows, doors and fixtures such as WC, Both, sink, shower, etc.
Prism, Cylinder, Pyramid, Cone – Auxiliary Vies: Development of surfaces of Right Regular Solids – Prism,
Pyramid, Cylinder and Cone.

Unit/Module 3: Isometric Projection
Principles of Isometric projection – Isometric Scale, Isometric Views, Conventions; Isometric Views of lines,
Planes Simple and compound Solids; Conversion of Isometric Views to Orthographic Views and Viceversa, Conversions.

Unit/Module 4: Computer Graphics
Listing the computer technologies the impact on graphical communication, Demonstration knowledge of
the theory of CAD software [such as: The Menu System, Tollbars (Standard, Object Properties, Draw,
Modify and Dimension), Drawing Area (Background, Crosshairs, Coordinate System), Dialog boxes and
windows, Shortcut menus (Button Bars), The Command Line (where applicable), The Status Bar, Different
methods of zoom as used in CAD, Select and erase objects: Isometric Views of lines, Planes, Simple and
compound Solids];

Unit/Module 5: Demonstration of a simple team design project

Geometry and topology of engineered components: creation of engineering models and their presentation
in standard 2D blueprint form and as 3D wire-frame and shaded solids; meshed topologies for engineering
analysis and tool-path generation for component manufacture; geometric dimensioning and tolerancing;
Use of solid-modelling software for creating associative models at the component and assembly levels;
floor plans that include: windows, doors, and fixtures such as WC, bath, sink, shower, etc. Applying colour
coding according to building drawing practice; Drawing


Unit/Module 1 : Relativistic Mechanics
Frame of reference, Inertial & non-inertial frames, Galilean transformations, Michelson-Morley
experiment, Postulates of special theory of relativity, Lorentz transformations, Length contraction, Time
dilation, Velocity addition theorem, Variation of mass with velocity, Einstein‟s mass energy relation,
Relativistic relation between energy and momentum, Massless particle.

Unit/Module 2 : Electromagnetic Field Theory
Continuity equation for current density, Displacement current, Modifying equation for the curl of
magnetic field to satisfy continuity equation, Maxwell‟s equations in vacuum and in non-conducting
medium, Energy in an electromagnetic field, Poynting vector and Poynting theorem, Plane
electromagnetic waves in vacuum and their transverse nature. Relation between electric and magnetic
fields of an electromagnetic wave, Energy and momentum carried by electromagnetic waves, Resultant
pressure, Skin depth.

Unit/Module 3 : Quantum Mechanics
Black body radiation, Stefan‟s law, Wien‟s law, Rayleigh-Jeans law and Planck‟s law, Wave particle
duality, Matter waves, Time-dependent and time-independent Schrodinger wave equation, Born
interpretation of wave function, Solution to stationary state Schrodinger wave equation for oneDimensional particle in a box, Compton effect.

Unit/Module 4 : Wave Optics
Coherent sources, Interference in uniform and wedge shaped thin films, Necessity of extended sources,
Newton‟s Rings and its applications. Fraunhoffer diffraction at single slit and at double slit, Absent
spectra, Diffraction grating, Spectra with grating, Dispersive power, Resolving power of grating,
Rayleigh‟s criterion of resolution, Resolving power of grating.

Unit/Module 5 : Fibre Optics & Laser

Fibre Optics: Introduction to fibre optics, Acceptance angle, Numerical aperture, Normalized frequency,
Classification of fibre, Attenuation and Dispersion in optical fibres.
Laser: Absorption of radiation, Spontaneous and stimulated emission of radiation, Einstein‟s coefficients,
Population inversion, Various levels of Laser, Ruby Laser, He-Ne Laser, Laser applications.


Unit/Module 1 : Atomic and Molecular Structure
Molecular orbital‟s of diatomic molecules. Band theory of solids. Liquid crystal and its applications. Point defects in solids. Structure and applications of Graphite and Fullerenes.
Concepts of Nanomaterials and its application.

Unit/Module 2 : Spectroscopic techniques and Applications
Elementary idea and simple applications of Rotational, Vibrational, Ultraviolet& Visible and Raman spectroscopy

Unit/Module 3 : Electrochemistry
Nernst Equation and application, relation of EMF with thermodynamic functions (∆H, ∆F
and ∆ S). Lead storage battery.
Corrosion; causes, effects and its prevention.
Phase Rule and its application to water system.

Unit/Module 4 Water Analysis, Fuels 

Hardness of water, Techniques for water softening (Lime-soda, Zeolite, Ion exchange resin and Reverse osmosis method).
Fuels: classification of fuels, Analysis of coal, Determination of calorific value (Bomb calorimeterand Dulong‟smethos).

Unit/Module 5 :
Polymer; Basic concepts of polymer-Blend and composites, Conducting and biodegradable
polymers. Preparation and application of some industrially important polymers (Buna-S,
Buna-N, Neoprene, Nylon-6, nylon-6,6 and Terylene). General methods of synthesis of
organometallic compounds (Grignard reagent) and their applications


Unit/Module 1: Ordinary Differential Equation of Higher Order
Linear differential equation of nth order with constant coefficients, Simultaneous linear
differential equations, Second order linear differential equations with variable coefficients,
Solution by changing independent variable, Reduction of order, Normal form, Method of
variation of parameters, Cauchy-Euler equation, Series solutions (Frobenius Method).

Unit/Module 2: Multivariable Calculus-II
Improper integrals, Beta & Gama function and their properties, Dirichlet’s integral and its
applications, Application of definite integrals to evaluate surface areas and volume of

Unit/Module 3: Sequences and Series
Definition of Sequence and series with examples, Convergence of sequence and series, Tests
for convergence of series, (Ratio test, D’ Alembert’s test, Raabe’s test). Fourier series, Half
range Fourier sine and cosine series.

Unit/Module 4: Complex Variable – Differentiation
Limit, Continuity and differentiability, Functions of complex variable, Analytic functions,
Cauchy- Riemann equations (Cartesian and Polar form), Harmonic function, Method to find
Analytic functions, Conformal mapping, Mobius transformation and their properties

Unit/Module 5: Complex Variable –Integration 
Complex integrals, Contour integrals, Cauchy- Goursat theorem, Cauchy integral formula,
Taylor’s series, Laurent’s series, Liouvilles’s theorem, Singularities, Classification of
Singularities, zeros of analytic functions, Residues, Methods of finding residues, Cauchy
Residue theorem, Evaluation of real integrals


Unit/Module 1 : Basics of Technical English
Technical English: Definition; Extent& Coverage; Dimensions; Reading; Skimming;
Scanning; Churning & Assimilation; Writing: Methods: Inductive; Deductive; Exposition;
Linear; Interrupted; Spatial & Chronological etc; Technical Communication; Approaches:
Brevity; Objectivity; Simplicity; Utility & Clarity. Listening: Active; Passive; Thinking
strategies: Positive & Logical thinking; Speaking: Essentials Nuances & Modes of Speech

Unit/Module 2 : Components of Technical Writing 
Vocabulary Building: Select words; Concept of word formation; Word formation; Root
words from foreign languages & their use in English; Prefixes & Suffixes: Derivatives;
Synonyms; Antonyms; Abbreviations. Homophones. One word substitutes; Requisites of

Unit/Module 3 : Basic Technical Writing Skills 
Forms: Business writing: Principle; Purchase & Sales Letters; Drafts; Official Writing: Official
Letter; D.O. Letter; Notices; Agenda; Minutes of Meeting; Sentence Structure; Phrases &
Clauses in sentences; Coherence; Unity; Emphasis in Writing; Devices; Use of Writing
methods in Documents; Techniques of writing.

Unit/Module 4 : Common Grammatical Errors & Technical Style
Subject-verb agreement; Correct usage: Noun; Pronoun; Agreement; Modifiers; Articles;
Prepositions; Cliches; Redundancies; Technical Style: Features; Choice of words; Sentences:
Descriptive; Narrative; Expository; Defining & Classifying; Length of paragraph; Writing of
Introduction & Conclusion.

Unit/Module 5 : Presentation Strategies & Oral Communications

Analysis of locale; Audience; Modulating Style & Content; Speaking with confidence; Kinesics;
Paralinguistic features of Voice-Dynamics: Pitch; Intonation; Stress & Rhythm; Conversation
& dialogues; Communication at work-place; etc.