BITS HD 2021 Syllabus:
For Test 1 -
- Core Mathematics:
- Functions and Graphs
- Limit and continuity
- Applications of derivative and integral
- Comics
- Polar coordinates
- Convergence of sequence and series
- Maclaurin and Taylor series
- Partial derivatives
- Vector calculus in Rn
- vector analysis
- Theorems of Green
- Gauss and Stokes
- Complex numbers
- Analytic functions
- Cauchy’s theorems
- Elementary functions
- Series expansions
- Calculus of residues and applications
- Vector space
- Basis and dimension
- Linear transformation
- Range and kernel of a linear transformation
- Row deduction method and application to the linear system of equations
- Conditional probability and independence
- Random variables and probability distributions
- Marginal and conditional distributions
- Independent random variables
- Mathematical Expectation
- Mean and variance
- Binomial
- Poisson’s and normal distributions
- Sum of independent random variables
- Law of large numbers
- Central limit theorem
Core Physics:
- Linear momentum and its Conservation
- Angular momentum and its conservation
- Rotational dynamics of rigid bodies
- Work-energy theorem
- Conservative forces and potential energy
- Collision problems
- Damped and forced simple harmonic motions
- Coupled oscillations and wave motion Coulomb’s law
- Electric fields
- Gauss’ law
- Electric potential
- Dielectrics and capacitors
- Magnetic fields
- Biot-Savart law and its applications
- Magnetic materials
- Ampere’s law
- Faraday’s law of electromagnetic induction
- Maxwell’s equations and plane electromagnetic waves Young’s double-slit interference
- Interference from thin films
- Coherence
- Diffraction from single and double slits
- Diffraction grating
- Photoelectric effect
- De-Broglie waves
- Uncertainty Relation
- Schrodinger equation
- Particle in a box
English Language Skills and Principles of Management:
- Pronunciation skills
- Vocabulary – Synonyms and antonyms
- Using words in appropriate contexts
- Idioms and Phrasal verbs
- Grammar – Word order and effective sentences
- Use of tenses
- Conjunctions and prepositions
- Reading comprehension
- Paragraph writing
- Précis Writing
- Letter writing
- Fundamental concepts of management (Financial, personal, legal and marketing functions, accounting and budgeting, planning, organization, staffing, directing and controlling, production, balance sheets)
Computer Programming:
- Basic Data Types and Operations
- Control Constructs – Conditionals and Loops Lists - Arrays
- Modularity– Functions
- Structured Data – Structures
- Unions, Pointers
- Applications – Strings
For Test 2 -
- Chemical Engineering
- Civil Engineering
- Electrical and Electronics Engineering
- Mechanical Engineering
- Pharmacy
- Computer Science
- Instrumentation
- Biological Sciences
- Chemistry
- Economics
- Mathematics
- Physics
Special Test (Software Systems) -
- Structured Programming in C:
- Conditionals
- Loops and Jumps
- Tuples
- Unions and Lists
- Functions and Variables
- Recursion
- Memory Allocation model
- Dynamic Memory Allocation – Pointers and Address Arithmetic
- Dynamically Allocated Data and Linked Lists
Advanced Programming in C:
- User-Defined Types
- Access Restricted Lists (Stacks/Queues)
- Binary Trees
- Macros and Preprocessing
- Modular Programming – Separate Compilation and linking
- Libraries
- File and I/Q operations
- String Processing
Object Orientation and Software Engineering:
- Basics of OOP – Objects and Classes, and Delegation
- Inheritance and Dynamic Binding
- Types and Polymorphism
- Templates/Generics
- Software Lifecycle
- Development Methodologies
- Software Requirements Analysis and Modeling
- Object-Oriented Design
- Design Patterns
- Architectural Design
- Modelling for Design
- Software Testing and Quality
Database and Networked System:
- Database Modeling & Design – ER modelling
- Normalization Techniques
- Database Querying – SQL
- Local Area Networks and Ethernet
- Internetworking: TCP
- UDP and IP
- World Wide Web: Client-Server Systems
- HTTP, HTML, XML, Web-based Systems
Core Systems:
- Number Representations and Boolean algebra
- Logic Gates
- Combinational and Sequential Circuits
- Computer Organization: Instruction Set
- Computer Arithmetic
- Control and Memory Organization
- Operating Systems – Basics
- Processes and Threads
- Operating systems – Memory Hierarchy
- Virtual Memory
- Secondary Storage
- File Systems
- Local Area Networks and Ethernet
- Internetworking: TCP/UDP and IP
- World Wide Web