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COEP syllabus for Electronics and Telecommunication, Schemes and Mind Maps of Electronics

Sri Venkateswara College of EngineeringElectronics

Document is very good it is my college syllabus

Typology: Schemes and Mind Maps

2022/2023

Uploaded on 11/25/2023

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mohrez-shaikh 🇮🇳

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COEP Technological University
Department of Mathematics
( MA- ) Matrix Algebra, Calculus and Probability
F.Y. B.Tech. Semester I (ENTC, ELECT, INSTRU)
Teaching Scheme Examination Scheme
Lectures : 2 hrs / week Internal Test 1: 20 marks
Tutorials: 1 hr / week Internal Test 2: 20 marks
Self-study: 1 hr/week End Sem. Exam: 60 marks
Unit I: Matrices and Linear Equations:
Basic properties of matrices, row operations and Gauss elimination, Determinants, and their basic
properties, Basic concepts in linear algebra: vector spaces, subspaces, linear independence, and
dependence of vectors. Row and Column rank. Solutions of Systems of linear equations using Gauss
Elimination method, Rank and Nullity, Eigen Values and Eigen Vectors.
S: basic properties of matrices, row operations, Determinants, and their basic properties.
[8L+4T+4S]
Unit II: Integral Calculus:
Double integrals in Cartesian and polar co-ordinates, iterated integrals, change of variables, triple
integrals in Cartesian, spherical and cylindrical co-ordinates, substitutions in multiple integrals,
Applications to Area, Volume, Moments, and Center of Mass.
Vector differentiation, gradient, divergence and curl, line integral and arc length parameterization,
surface integrals, path independence, statements, and illustrations of theorems of Green, Stokes and
Gauss, applications.
S: Area, Volume, Moments, and Center of Mass. [12L+6T+6S]
Unit III: Probability:
Mean, median, mode, standard deviation, combinatorial probability, joint and conditional probability.
Probability distributions, Binomial distribution, Poisson distribution, Normal distribution,
exponential distribution.
S: Joint and conditional probability, exponential distribution.
[8L+4T+4S]
Text Book:
• Advanced Engineering Mathematics (10th edition) by Erwin Kreyszig, Wiley Eastern Ltd.
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COEP Technological University

Department of Mathematics

( MA- ) Matrix Algebra, Calculus and Probability

F.Y. B.Tech. Semester I (ENTC, ELECT, INSTRU)

Teaching Scheme Examination Scheme Lectures : 2 hrs / week Internal Test 1 : 20 marks Tutorials: 1 hr / week Internal Test 2: 20 marks Self-study: 1 hr/week End Sem. Exam: 60 marks Unit I: Matrices and Linear Equations: Basic properties of matrices, row operations and Gauss elimination, Determinants, and their basic properties, Basic concepts in linear algebra: vector spaces, subspaces, linear independence, and dependence of vectors. Row and Column rank. Solutions of Systems of linear equations using Gauss Elimination method, Rank and Nullity, Eigen Values and Eigen Vectors. S: basic properties of matrices, row operations, Determinants, and their basic properties. [ 8 L+4T+4S] Unit II: Integral Calculus: Double integrals in Cartesian and polar co-ordinates, iterated integrals, change of variables, triple integrals in Cartesian, spherical and cylindrical co-ordinates, substitutions in multiple integrals, Applications to Area, Volume, Moments, and Center of Mass. Vector differentiation, gradient, divergence and curl, line integral and arc length parameterization, surface integrals, path independence, statements, and illustrations of theorems of Green, Stokes and Gauss, applications. S: Area, Volume, Moments, and Center of Mass. [ 12 L+6T+6S] Unit III: Probability: Mean, median, mode, standard deviation, combinatorial probability, joint and conditional probability. Probability distributions, Binomial distribution, Poisson distribution, Normal distribution, exponential distribution. S: Joint and conditional probability, exponential distribution. [8L+4T+4S] Text Book:

  • Advanced Engineering Mathematics (10th^ edition) by Erwin Kreyszig, Wiley Eastern Ltd.

Reference Books:

  • Advanced Engineering Mathematics (10th^ edition) by Erwin Kreyszig, Wiley Eastern Ltd.
  • Linear Algebra (3rd^ edition) by Serge Lang, Springer.
  • Linear Algebra and its applications (4th^ edition) by Gilbert Strang, Cengage Learnings (RS).
  • Elementary Linear Algebra (10th^ edition) by Howard Anton and Chris Rorres, John Wiley, and sons.
  • Ross S.M., Introduction to probability and statistics for Engineers and Scientists (8th^ Edition), Elsevier Academic press, 2014.
  • Ronald E, Walpole, Sharon L. Myers, Keying Ye, Probabilty and Statistics for Engineers and Scientists (9th^ Edition), Pearson Prentice Hall, 2007.
    Outcomes : Students will be able to
  1. define matrices, linear equations, and determinants, recall basics of probability theory, probability distribution, recall basic concepts of linear algebra, recall double / triple integrals, vector differentiation, vector integration, define gradient, divergence and curl.
  2. understand basic concepts such as linear dependence / independence of vectors, rank, nullity, concepts of probability, probability distributions, understand basic concepts of co-ordinate systems, iterated integrals, gradient, divergence and curl, differentiate and interprete vector valued functions.
  3. analyze and calculate eigen values, eigen vectors, rank, nullity of a matrix, evaluate probability of compound events, find probabilities using standard distributions, evaluate multiple integrals, find area / mass / volume using multiple integrals, evaluate line integrals and surface integrals.
  4. prove theorems, apply Green’s / Stoke’s / Divergence theorem to different type of problems.
  5. apply concepts of Matrix Algebra, Calculus and Probability to various problems including real life problems. Note 1: - To measure CO1, questions may be of the type- define, identify, state, match, list, name etc. - To measure CO2, questions may be of the type- explain, describe, illustrate, evaluate, give examples, compute etc. - To measure CO3, questions will be based on applications of core concepts.