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Digital System Design

Boolean Algebra, standard representation and Minimization Procedures. Logic families, combinational circuits, asynchronous and synchronous sequential circuits, Memories, PROMs AND PLAs. Introduction to VLSI systems- CMOS logic- MOS transistor theoryLayout design rules- Circuit characterization and performance estimation- Circuit simulation- Combinational and sequential circuit design- Static and dynamic CMOS gatesMemory system design- Design methodology and tools-HDL. Design of FPRG, Complex CMOS design.

Algorithms

Algorithmic Design Paradigms, Divide and Conquer, Analysis for Divide and Conquer, Sorting algorithms, Greedy Algorithms, Dynamic Programming, Graph Algorithms (DFS, BFS, Topological sort, Spanning Trees, All pair shortest path, Matching Max flow)

Artificial Intelligence

Introduction to Artificial Intelligence – Definition of AI; History and evolution of AI; Applications of AI in various domains. Problem Solving and Search Algorithms — Problem formulation, state space search, uninformed strategies (BFS, DFS), informed strategies (A*, Greedy best-first), heuristic functions, adversarial search (Minimax, Alpha-beta pruning).

Electrical and Electronics Engineering

Fundamentals of AC Power System: Introduction to Alternating Current – Basic concepts of AC circuits – Behavior of resistor, capacitor and inductor in AC circuits – concepts of reactance and impedance - Sinusoidal steady state analysis - Power in AC circuits. 

Three-phase systems – Basic concepts of balanced three-phase systems– Power in three-phase systems. Introduction to Electrical Machines: Basic concepts of transformers and rotating electrical machines. Diode – clipping, clamping circuits, applications in rectifiers and power supplies. 

Linear Algebra & Optimization

Matrices, Linear equations, and solvability:
Vector spaces
Basis and dimension
Linear transforms
Similarity of matrices

Rank-Nullity theorem and its applications:
Eigenvalues and eigenvectors
Cayley-Hamilton theorem and diagonalization
Inner-product spaces
Gram-Schmidt process

Optimization:
Unconstrained optimization: Gradient descent and Stochastic gradient descent methods.
Constrained optimization: Lagrange multiplier, Linear and dynamic programming, Bellman's principle of optimality.

Communication Skills 2

Module 1: Audience analysis and adaptation.

Module 2: Technical writing formats and styles (e.g., reports, minutes, posters, proposals, manuals, instructions), Writing style and tone, Clarity, conciseness, and coherence, Introduction to Technical Writing: Document planning and organization.

Module 3: Reading and appreciating stories, poems, essays, Comprehensive questions and answers, Listening and note taking video lectures.

Module 4: short plays, individual presentations, group discussions, debates
 

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