Dr A.P.J. Abdul Kalam Technical University, UP (AKTU), Civil Engineering Semester 4, Mathematics-3 Syllabus

Mathematics-3 Lecture notes | Videos | Free pdf Download | Previous years solved question papers | MCQs | Question Banks| Syllabus
Get access to 100s of MCQs, Question banks, notes and videos as per your syllabus.
Try Now for free

Unit - 1 Laplace Transform

Module1

Laplace Transform

1.1 Laplace transform Existence theorem

1.2 Laplace transforms of derivatives and integrals

1.3 Initial and final value theorems

1.4 Unit step function Dirac delta function

1.5 Laplace transform of a periodic function

1.6 Inverse Laplace transform Convolution theorem

1.7 Application to solve simple linear and simultaneous differential equations

Unit - 2 Integral Transforms

Module2

Integral Transform

2.1 Fourier integral Fourier Transform Complex Fourier transform

2.2. Inverse Transforms Convolution Theorems

2.3 Fourier sine and cosine transform

2.4 Applications of Fourier transform to simple onedimensional heat transfer equations Wave equations and Laplace equations

2.5 ZTransform and its application to solve differential equations.

Unit - 3 Formal Logic ,Group, Ring and Field

Module3

Formal logic group ring and field

3.1 Introduction to Firstorder logic proposition Algebra of Proposition Logical connectives

3.2. Tautologies Contradictions and contingency

3.3. Logical implication Argument Normal form Rules of inferences

3.4 Semigroup Monoid Group Group

3.5 Cosets Lagrange’s theorem Congruence relation

3.6 Cyclic and permutation groups

3.7 Properties of groups

3.8. Rings and Fields definition examples and standard results only

Unit - 4 Set, Relation, function and Counting Techniques

Module4

Set Relation function and Counting Techniques

4.1. Introduction of Sets

4.2. Relation and Function

4.3. Methods of Proof Mathematical Induction Strong Mathematical Induction

4.4. Discrete numeric function generating functions

4.5. Recurrence relations and their solution Pigeonhole principle.

Unit - 5 Lattices and Boolean Algebra

Module5

Lattices and Boolean Algebra

5.1. Introduction Partially ordered sets Hasse Diagram

5.2. Maximal and Minimal element Upper and Lower Bounds

5.3 Isomorphic ordered sets

5.4 Lattices Bounded Lattices and Distributive Lattices.

5.5 Duality

5.6 Boolean Algebras as Lattices

5.7 Minimization of Boolean Expressions prime Implicants

5.8 Logic Gates and Circuits

5.9 Truth Table Boolean Functions Karnaugh Maps.

Download CIVIL Sem 4 syllabus pdf
Get access to 100s of MCQs, Question banks, notes and videos as per your syllabus.
Try Now for free
Other Subjects of Semester-2
Universal human values
Technical communication
Sensor and instrumentation
Introduction to solid mechanics
Hydraulic engineering and machines
Materials, testing & construction practices
Popular posts
Top 10 civil engineering colleges in India
What is tacheometry
All about toposheets
Disaster management explained
What is depreciation
Share  
Link Copied
More than 1 Million students use Goseeko! Join them to feel the power of smart learning.
Spot anything incorrect? Contact us