Engineering Mathematics - Uma Raju

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199 videos

A series of Lectures explaining the various Engineering Mathematics topics and concepts (specifically addressing the M1,M2,M3 and M4 courses of VTU curriculu...

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Numerical integration - Trapezoidal, Simpsons 13 rule ,Simpsons 38 rule , Weddles rule .

solving a higher order differential equation with particular integral as a polynomial

Solving higher order ode -Particular integral of the form sinax or cosax

Solving second order ODE- Particular integral of the form e^ax

Verification of Rank nullity theorem , finding Range and null space

FINDING MATRIX OF LINEAR TRANSFORMATION & FINDING THE TRANSFORMATION GIVEN MATRIX (part 3)

FINDING LINEAR TRANSFORMATION GIVEN MAPPING (Part 2)

LINEAR TRANSFORMATION-PART 1

INNER PRODUCT

SUBSPACE

Basis and dimension of Row space, column space , null space- VECTOR SPACE

LINEARLY INDEPENDENT , BASIS

vector space - linear combination , linear span

EXPRESS THE GIVEN VECTOR INTO SPHERICAL COORDINATES

Express vector in cylindrical coordinates

orthogonality of cylindrical coordinates -proof

Curvilinear coordinates - orthogonality of spherical coordinates

scalar potential

curl divergence

Traffic flow application

REDUCIBLE TO CLAIRAUT'S BY SUBSTITUTION (px-y)(py+x)=2p using substitution X=x^2, Y=y^2

CLAIRAUT'S EQUATION p=log(px_y)

FIRST ORDER HIGHER DEGREE -SOLVABLE FOR P,using p =dydx xy(dydx)^2_(x^2+y^2)+(dydx)xy=0

Solve Ldidt+Ri=E and Ldidt+Ri=Esinwt -Application of Differential equation-LR CIRCUIT

ORTHOGONAL TRAJECTORY - POLAR ( PART 3)

ORTHOGNAL TRAJECTORY -SELF ORTHOGONAL CARTESIAN prove that y^2=4a(x+a) is self orthogonal

ORTHOGONAL TRAJECTORY CARTESIAN (PART 1)

Reducible to exact _ Differential equation

EXACT DIFFERENTIAL EQUATION AND REDUCIBLE TO EXACT

LINEAR DIFFERENTIAL EQUATION dy dx + y cotx= cosx, BERNOULLI DE EQUATION rsinθ-cosθ drdθ =r^2