Mathematics-3 (Transform & Discrete Mathematics) -

Lesson Plan
Name of the Faculty : Navya Goel
Discipline : B.Tech. (Civil)
Semester : 3^rd
Subject : Mathematics- 3 (Transform & Discrete Mathematics)
Lesson Plan Duration : 15 weeks (from August, 2018 to November, 2018 )
Work Load (Lecture) per week (in hours) : Lectures - 02
Weeks	Theory
	Lecture	Topic
	Day	(including assignment / test)
	Transform Calculus
1^st	1^st	Polynomials - orthogonal Polynomials
1^st	2^nd	Polynomials- Lagrange’s
2^nd	1^st	Chebysev Polynomials
2^nd	2^nd	Trigonometric Polynomials
3^rd	1^st	Laplace Transform
3^rd	2^nd	Properties of Laplace Transform
4^th	1^st	Laplace transform of periodic functions
4^th	2^nd	Finding inverse Laplace transform by different methods
5^th	1^st	convolution theorem , Evaluation of integrals by Laplace transform
5^th	2^nd	solving ODEs and PDEs by Laplace Transform methods
	Discrete Mathematics
6^th	1^st	Basic operations on sets
6^th	2^nd	Cartesian products, disjoint union (sum), and power sets
7^th	1^st	Different types of relations, their compositions and inverses
7^th	2^nd	Different types of functions, their compositions and inverses.
8^th	1^st	Syntax and semantics, proof systems, satisfiability
8^th	2^nd	validity, soundness, completeness, deduction theorem
9^th	1^st	Decision problems of propositional logic
9^th	2^nd	Introduction to first order logic and first order theory
10^th	1^st	Complete partial ordering, chain, lattice, complete, distributive
10^th	2^nd	modular and complemented lattices
11^th	1^st	Boolean and pseudo Boolean lattices
11^th	2^nd	Algebraic structures with one binary operation – semigroup
12^th	1^st	monoid and group Cosets, Lagrange’s theorem, normal subgroup
12^th	2^nd	homomorphic subgroup.
13^th	1^st	Congruence relation and quotient structures.
13^th	2^nd	Error correcting code
14^th	1^st	Algebraic structures with two binary operationsring
14^th	2^nd	integral domain, and field
15^th	1^st	Boolean algebra and boolean ring
15^th	2^nd	Definitions and simple example and revision