Maths III EV 3rd Sem Syllabus for AKTU B.Tech 2019-20 Scheme (Select Subject-1)

Maths III detail syllabus for Environmental Engineering (EV), 2019-20 scheme is taken from AKTU official website and presented for AKTU students. The course code (KAS303), and for exam duration, Teaching Hr/Week, Practical Hr/Week, Total Marks, internal marks, theory marks, and credits do visit complete sem subjects post given below.

For all the other ev 3rd sem syllabus for b.tech 2019-20 scheme aktu you can visit EV 3rd Sem syllabus for B.Tech 2019-20 Scheme AKTU Subjects. For all the other Select Subject-1 subjects do refer to Select Subject-1. The detail syllabus for maths iii is as follows.

Prerequisites:

Pre-requisites (if any) Knowledge of Mathematics I and II of B. Tech or equivalent

Course Outcomes:

For complete syllabus, results, class timetable and more kindly download iStudy. It is a lightweight, easy to use, no images, no pdfs platform to make student’s life easier.

Module I:

Laplace Transform
Laplace transform, Existence theorem, Laplace transforms of derivatives and integrals, Initial and final value theorems, UNIT-step function, Dirac-delta function, Laplace transform of periodic function, Inverse Laplace transform, Convolution theorem, Application to solve simple linear and simultaneous differential equations.

Module II:

Integral Transforms
Fourier integral, Fourier Transform, Complex Fourier transform, Inverse Transforms, Convolution Theorems, Fourier sine and cosine transform, Applications of Fourier transform to simple one dimensional heat transfer equations, wave equations and Laplace equations,
Z-Transform and its application to solve difference equations.

Module III:

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Module IV:

Set, Relation, function and Counting Techniques-Introduction of Sets, Relation and Function, Methods of Proof, Mathematical Induction, Strong Mathematical Induction, Discrete numeric function and Generating functions, recurrence relations and their solution, Pigeonhole principle.

Module V:

Lattices and Boolean Algebra: Introduction, Partially ordered sets, Hasse Diagram, Maximal and Minimal element, Upper and Lower bounds, Isomorphic ordered sets, Lattices, Bounded Lattices and, Distributive Lattices.
Duality, Boolean Algebras as Lattices, Minimization of Boolean Expressions, prime Implicants, Logic Gates and Circuits, Truth Table, Boolean Functions, Karnaugh Maps.

Reference Books:

1. B.S. Grewal: Higher Engineering Mathematics; Khanna Publishers, New Delhi.
2. B.V. Ramana: Higher Engineering Mathematics; Tata McGraw-Hill Publishing Company Limited, New Delhi.
3. Peter V.O’ Neil. Advanced Engineering Mathematics, Thomas ( Cengage) Learning.
4. Kenneth H. Rosem: Discrete Mathematics its Application, with Combinatorics and Graph Theory; Tata McGraw-Hill Publishing Company Limited, New Delhi.
5. K.D. Joshi: Foundation of Discrete Mathematics; New Age International (P) Limited, Publisher, New Delhi.
6. E. Kreyszig: Advanced Engineering Mathematics; John Wiley & Sons.
7. R.K. Jain & S.R.K. Iyenger: Adnanced Engineering Mathematics, Narosa Publishing House.
8. C.L.Liu: Elements of Discrete Mathematics; Tata McGraw-Hill Publishing Company Limited, New Delhi.
9. S. Lipschutz, M.L. Lipson and Varsha H. Patil: Discrete Mathematics; Tata McGraw-Hill Publishing Company Limited, New Delhi
10. B. Kolman, Robert C. Busby & S. C. Ross: Discrete Mathematical Structures’ 5th Edition, Perason Education ( Singapore), Delhi, India.

Course Outcomes:

At the end of this course, the students will be able to:

1. Remember the concept of Laplace transform and apply in solving real life problems.
2. Understand the concept of Fourier and Z-transform to evaluate engineering problems
3. Remember the concept of Formal Logic, Group and Rings to evaluate real life problems
4. Apply the concept of Set, Relation, function and Counting Techniques
5. Apply the concept of Lattices and Boolean Algebra to create Logic Gates and Circuits, Truth Table, Boolean Functions, Karnaugh Maps

Evaluation Methodology to be Followed:

The evaluation and assessment plan consists of the following components:

1. Class attendance and participation in class discussions etc.
2. Quiz.
3. Tutorials and assignments.
4. Sessional examination.
5. Final examination.

Award of Internal/External Marks:

Assessment procedure will be as follows:

1. 1. These will be comprehensive examinations held on-campus (Sessionals).
   2. Quiz.
      1. Quiz will be of type multiple choice, fill-in-the-blanks or match the columns.
      2. Quiz will be held periodically.
   3. Tutorials and assignments
      1. The assignments/home-work may be of multiple choice type or comprehensive type at least one assignment from each Module/Unit.
      2. The grades and detailed solutions of assignments (of both types) will be accessible online after the submission deadline.
   4. Final examinations.

These will be comprehensive external examinations held on-campus or off campus (External examination) on dates fixed by the Dr. APJ Abdul Kalam Technical University, Lucknow.

For the detailed syllabus of all the other subjects of B.Tech Ev, 2019-20 regulation do visit Ev 3rd Sem syllabus for 2019-20 Regulation.

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