Mumbai University
DISCRETE STRUCTURES
DISCRETE STRUCTURES
Introduction to sets: Review only.
Logic : Propositions and logical operations, Truth tables, Equivalence and implication, Laws of logic, Mathematical induction and quantifiers.
Set theory : Method of proof for set, Venn diagram, set membership tables, definitions, Laws of set theory, Partition of sets.
Permutations, combinations and discrete probability : Introduction to permutations and combinations, Generation of permutation and combination, Discrete probability, Conditional probability.
Relations and Diagraphs : Relations and diagraphs., Paths and the relations and diagraphs, Properties of relations, Equivalence relations, Computer representation of relations and diagraphs, Manipulation of relations, Transitive closure, Warshall’s algorithm.
Function and pigeon hole principle : Definition, Types of functions: injective, surjective, bijective, Composition, identity and inverse, Pigeon hole principle. Graphs , Posets, Hasse Diagram, Lattices Finite Boolean Algebra, Groups & their Applications Introduction to Rings & Fields.
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DIGITAL SIGNAL PROCESSING
DIGITAL SIGNAL PROCESSING Discrete Time Signals and Systems: Discrete time signal sequences, Linear Shift Invariant system, Stability, Linear Constant Coefficient difference equations, Frequency domain representation of discrete time systems and signals, symmetry properties of Fourier Transform, Sampling of continuous time signal, Two dimensional sequences and system. Z Transform: Z-transform, Inverse .....
C PROGRAMMING
C PROGRAMMING · Features of C, ANSI C, structure of a C program. · Character set, variable names, data types, constants and declarations, scope and lifetime of variables. · Arithmetic, logical, relational, increment, bitwise, assignment operators and expressions, conditional expressions, precedence of order of evaluation and type conversion. · Basic .....
Data structures with advanced C
UNIT 1 1. Pointers and Indirection's. 2. Strings and String Functions. UNIT 2 3. Structures. 4. 'C' Input/Output files. UNIT 3 5. The 'C' Pre- Processor. 6. Advanced Topics. 6.1 Type declaration. 6.2 Register and extern storage classes. 6.3 Labels and GOTO statements. 6.4 Functions pointers. 6.5 Recursion. 6.6 Bit wise operators. 6.7 Unions. 6.8 Bit fields. .....
SYSTEMS SOFTWARE
UNIT-I: 1.1 Language Processors: Introduction, Language Processing Activities, Fundamentals of Language Processing & Language Specification, Language Processor Development Tools. 1.2 Data Structures for Language Processing: Search Data structures, Allocation Data Structures. 1.3 Scanning & Parsing. Ref: DMD: Chapter 1, 2 & 3. UNIT-II: 2.1 Assemblers: Elements of Assembly Language Programming, A .....
PRINCIPLES OF COMMUNICATION ENGINEERING
PRINCIPLES OF COMMUNICATION ENGINEERING Signals and their representations: Fourier series, Fourier transform, continuous spectra, frequency selective networks and transformers. Basic Information Theory: Information , entropy of discrete systems, rate of transmission, redundancy, efficiency and channel capacity. Amplitude Modulation: Frequency spectrum, power relations, basic requirements and description of various modulators, comparison. .....
SYSTEMS PROGRAMMING
SYSTEMS PROGRAMMING Introduction to system programs and system programming, review of different System programs such as assemblers, loaders, linkers, compilers, interpreters, operating systems, device drivers etc. Elements of assembly language programming, overview of assembly process, design of one-pass and two pass assemblers, macros and macro processors, design of a macro .....
Managerial Economics-I
Introduction, demand (concept, elasticity, demand forecasting), production, cost analysis, supply (concept, elasticity), price determination, revenue analysis, break-even analysis, profit, objectives of the firm, market structures (perfect competition, monopoly, oligopoly), price discrimination, pricing policies, capital budgeting. .....
ELECTIVE II-2 COMPILER CONSTRUCTION
ELECTIVE II-2 COMPILER CONSTRUCTION Lexical analysis: Some sophisticated pattern matching algorithms and their optimization, use of LEX. Error recovery: Detection, reporting, recovery and repair of errors in the compilation process. Syntax analysis: Canonical LR prasers, handling of ambiguous grammars, error reporting in LL (1), operator precedence and LR parsing, efficient .....
ELECTRONICS II
ELECTRONICS II Low and High frequency analysis of BJT and FET amplifier circuits. Analysis of: RC coupled amplifiers Cascode Amplifiers, Darlington pair and DC amplifiers. Design of two stage RC coupled amplifier. Feedback Amplifiers: Introduction to negative and positive feedback, current, voltage, series and shunt feedback. Its effect on input .....
APPLIED MATHEMATICS V
APPLIED MATHEMATICS V Probability and topics in Statistics: Statistical experiments with random outcomes, Sample space, probability defined on the basis of sample space and on the basis of events and their combinations. Theorem on probabilities, conditional probability. Bayes theorem. Random variable, probability distribution for discrete and continuous random variables. Density .....
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