SEM-I Computer Sc. Engg.: Mathematics-I

What learn

Introduction, Computer Sys, Alogorithm, Flow-Chart, Data Type, Functions, Network, Array, Lop, File Handling

Course Content

1 sections • 33 lectures • 00h 21m total length

	Lecture 01 Evaluation of Definite & Improper Integrals		01:16:27min
	Lecture 02 Some more properties of Definite Integrals with examples. Test of Improper Integral of 1st Type.		01:41:47min
	Lecture 03 Definition of Beta Function & their Properties. Definition of Gamma Function & their Properties. Relation between Beta & Gamma Function		01:34:23min
	Lecture 04 Duplication Formula, Application of Beta & Gamma Function, Some Important Questions		01:57:14min
	Lecture 05 Surface Area of Solid generated by Revolution		00:44:53min
	Lecture 06 Volume of Solid generated by Revolution Plane		01:16:09min
	Lecture 07 Evolute & Involute		01:14:56min
	Lecture 08 Rolle's theorem & Langrange's Mean Value theorem		02:11:22min
	Lecture 09 Taylor's & Maclaurine Series		01:33:28min
	Lecture 10 Taylor's Theorem with Remainder		00:49:45min
	Lecture 11 Intermediate Form & L'Hospital Rule		00:37:07min
	Lecture 12 Maxima Minima		01:26:28min
	Lecture 13 Sequence & Series		01:07:07min
	Lecture 14 Basic Concept of Fourier Series, Fourier Series for Continuous Function		01:17:52min
	Lecture 15 Fourier Series for Discontinuous Function, Half Range Cosine & Sine Series		00:43:05min
	Lecture 16 Fourier Series for Even & Odd Function, Parseval's theorem with examples		01:08:19min
	Lecture 17 Partial Defferentiation		01:22:33min
	Lecture 18 Langrange's Method of Undetermind Multiplier		01:00:18min
	Lecture 19 Successive Differentiation		01:29:41min
	Lecture 20 Radius of Convergence, Ratio Test, Cauchy Root Test with Examples		00:59:24min
	Lecture 21 Convergence of Logrithmic Series, Convergence of Exponential Series, Convergence of Trigonometric Series		00:26:23min
	Lecture 22 Contuinity & Differentiability		00:40:54min
	Lecture 23 D.E. of First Order & First Degree, Exact D.E., Linear D.E., Bernoulli's D.E., Euler's Rule to find G.S. & D.E.		01:54:28min
	Lecture 24 First Order & Higher Degree, Solvable for p, y & x, Clairuat's Equation		00:49:40min
	Lecture 25 Second Order D.E. with Constant Co-efficient		00:47:01min
	Lecture 26 Second Order D.E. with Variable Co-efficient		01:35:07min
	Lecture 27 Differential Equation of order n		01:12:01min
	Lecture 28 Definition & Types of Matrices, Addition, Subtraction & Multiplication of Matrices		00:52:49min
	Lecture 29 Adjoint of a Square Matrix, Rank of a Matrix, Normal Form, Linear System of Equations		00:58:22min
	Lecture 30 Eigen Value & Eogen Vector of a Matrix, Properties of Eogen Values		01:05:17min
	Lecture 31 Caley-Hamilton Theorem, Diagonal Form of a Matrix, Modal Matrix, Use of Scientific Calculator		01:38:06min
	Lecture 32 Gauss Elimination Method, Gauss Jordan Elimination Method		00:30:02min
	Lecture 33 Formation of PDE, First Order PDE, (Linear & Non-Linear)		00:48:35min

Requirements

BE/B.Tech. (Pursuing)

Description

Description:

Descriptive knowledge :Education from basic level and more descriptive . Specially designed for those who are interested getting top ranks.
Ability Enhancement :Education through this course enhances knowledge and enables to qualify different competitive exams.
Better job opportunities :A qualified & ranked engineers attracts the employer and they are at the priority of the selection list.
Prestigious career options :Through Engineering education, bright career waits for. You can attain not only economically sound position but you will get recognition on the social stages.

Outcomes:

Have conceptual knowledge of all subjects.
Solving numerical problems with innovative ideas.
Getting solutions of customized problems for knowledge enhancement.
Confidence development through various tests & discussions.
Learning tricks that how to qualify the semester examination with top ranks by learned & experienced educators.