Mathematics with Concepts By Zeeshan Ikram

Lecture # 10|Linear Algebra|BS Maths|2nd semester| PRODUCT SPACE| GRAM SCHMIDT ORTHONORMALIZATION

Lecture # 9|Linear Algebra|BS Maths|2nd semester| INNER PRODUCT SPACE| CAUCHY SCHWARZ INEQUALITY

Lecture # 8|Linear Algebra|BS Maths|2nd semester| Rank Nullity Theorem| Isomorphism

Lecture # 7|Linear Algebra|BS Maths|2nd semester|Linear Transformation| Linear Transformation Matrix

Lecture # 6|Linear Algebra|BS Maths|2nd semester|Quotient Space|Theorems on Dimensiom of VectorSpace

Lecture # 5 |Linear Algebra|BS Maths|2nd semester|Existance/Dimension/Extension Theorems|VectorSpace

Lecture # 4 |Linear Algebra| BS Maths |2nd semester| Theorems on Linearly Independent/dependent sets

Lecture # 3 | Linear Algebra | BS Maths | 2nd semester UOS | Vector Space | Theorems on Linear Span

Lecture # 2 | Linear Algebra | BS Maths | 2nd semester UOS| Vector Space | Theorems on Linear Span

Lecture # 1 | Linear Algebra | BS Maths | 2nd semester UOS| Basis | Finite Dimensional Vector Space

Notes on Splines Theory ( Lecture # 1 ) BS Mathemtics ( 8th Semester )

LECTURE # 29: NUMERICAL ANALYSIS...DERIVATION OF RK METHOD OF ORDER 2...

NUMERICAL SOLUTION OF ORDINARY DIFFERENTIAL EQUATIONS (ODEs) ...RK- METHOD OF ORDER 4..

NUMERICAL SOLUTION OF INITIAL VALUE PROBLEMS...RK- METHODS

NUMERICAL SOLUTION OF ORDINARY DIFFERENTIAL EQUATIONS...(RUNGE'S METHOD)

LECTURE # 25 : NUMERICAL ANALYSIS.POWER METHOD TO FIND DOMINANT EIGEN VALUE AND RELATED EIGEN VECTOR

LECTURE # 24 : NUMERICAL ANALYSIS..NORM OF MATRICES .ILL /WELL CONDITIONED SYSTEMS..CONDITION NUMBER

LECTURE # 23 : NUMERICAL ANALYSIS..NORM OF VECTORS AND MATRICES ...SOLVED EXAMPLES ...

LECTURE # 22 : NUMERICAL ANALYSIS...GAUSS SEIDEL METHOD FOR SYSTEM WHICH IS NOT DIAGONALLY DOMINANT

LECTURE # 21 : NUMERICAL ANALYSIS..SYSTEM OF LINEAR EQUATIONS..PROOF OF DIAGONALLY DOMINANT THEOREM

LECTURE # 20 : NUMERICAL ANALYSIS..SYSTEM OF LINEAR EQUATIONS...GAUSS SEIDEL METHOD /APPLICATION

LECTURE # 19 : NUMERICAL ANALYSIS.SYSTEM OF LINEAR EQ'S...GAUSS JACOBI ITERATIVE METHOD/ APPLICATION

LECTURE # 18 : NUMERICAL ANALYSIS.SYSTEM OF LINEAR EQ's.INDIRECT METHODS/DIAGONALLY DOMINANT SYSTEM

LECTURE # 17 : NUMERICAL ANALYSIS..SYSTEM OF LINEAR EQUATIONS...CHOLESKY'S METHOD USEFUL APPLICATION

LECTURE # 16 : NUMERICAL ANALYSIS..SOLUTION OF SYSTEM OF LINEAR EQ'S...CHOLESKY'S METHOD APPLICATION

LECTURE # 15 : NUMERICAL ANALYSIS...SOLUTION OF SYSTEM OF LINEAR EQ'S...CHOLESKY'S METHOD DERIVATION

LECTURE # 14 :NUMERICAL ANALYSIS.SOL OF SYSTEM OF LINEAR EQUATIONS.POSITIVE DEFINITE MATRIX/ EXAMPLE

LECTURE # 13 : NUMERICAL ANALYSIS...SOL OF SYSTEM OF LINEAR EQ's/CROUT'S SCHEME/INVERSE OF A MATRIX.

LECTURE # 12 : NUMERICAL ANALYSIS...SOL OF SYSTEM OF LINEAR EQ's/CROUT'S SCHEME/DETAILED STEPS/APPLY

LECTURE # 11: NUMERICAL ANALYSIS...SOLUTION OF SYSTEM OF LINEAR EQUATIONS...CROUT'S METHOD