Applied Mathematics 1 Playlist
   • IPU Applied Mathematics 1  
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Unit 1

GGSIPU New Syllabus II Maths 1 II Unit 1 Topics Review    • GGSIPU Applied Maths 1 II Unit 1  Ho...  

Partial Derivative of 1st and 2nd order Concept    • Partial Derivative of 1st and 2nd ord...  

Partial Derivative of 1st and 2nd order II Numericals    • Partial Derivative of 1st and 2nd ord...  

Partial Derivative of 1st and 2nd Order || Numericals Part2    • Partial Derivative of 1st and 2nd Ord...  

Chain Rule II Total Derivative    • Chain Rule II Total Derivative II Dif...  

Differentiation of Implicit Function    • Differentiation of Implicit Function ...  

Partial Derivative Change of Independent Variables    • Partial Derivative  Change of Indepe...  

Exact Differential Equation Concept & Numericals    • Exact Differential Equation  Concept...  

Exact differential Equation – Numericals    • Exact differential Equation  Numeric...  

Maxima and Minima of a Function of Two Variables II Saddle Point    • Maxima and Minima of a Function of Tw...  

Lagrange's method of Undetermined Multipliers    • Lagrange's method of Undetermined Mul...  

Differentiation under Integral Sign II Leibnitz's Rule II Numericals    • Differentiation under Integral Sign I...  

Jacobians II Chain Rule JJ' = 1 II Jacobian of Implicit Function    • Jacobians II Chain Rule JJ' = 1 II Ja...  

Jacobians II Jacobians to determine Functional Dependence II Numericals    • Jacobians II Jacobians to determine F...  

Unit 2

Ordinary Differential Equation Concept II    • Ordinary Differential Equation  Conc...  

Geometric Meaning of y' = f(x,y) II Direction Fields II ODE    • Geometric Meaning of y' = f(x,y) II D...  

Euler's Method Numerical Solution of ODE    • Euler's Method  Numerical Solution o...  

Eulers method (Numerical Practice) II Numerical Solution of Differential Equation    • Eulers method (Numerical Practice) II...  

Solving ODE of Order 1 Review of all Methods    • Solving Ordinary Differential Equatio...  

Solving ODE Variable Separable Form    • Solving Ordinary Differential Equatio...  

Exact Differential Equation Concept & Numericals    • Exact Differential Equation  Concept...  

Exact differential Equation – Numericals    • Exact differential Equation  Numeric...  

Homogeneous Differential Equation Reducible to Exact Form II Integrating factor    • Solving Homogeneous Differential Equa...  

NonHomogeneous D.E. Reducible to Exact Form II Integrating factor    • Solving NonHomogeneous Differential ...  

Linear Differential Equation Concept and Numerical II Integrating Factor    • Solving Linear Differential Equation ...  


Differential Equation Reducible to Linear Form (BERNOULLI's Equation) II Concept & Numerical    • Solving Differential Equation Reducib...  

Linear Ordinary Differential Equation of Higher Order II Differential Operator    • Solving Linear Ordinary Differential ...  


Higher order Homogenous Differential Equation II Complementary Function    • Solving Higher Order Homogeneous Diff...  

Homogenous Differential Equation II Complementary Function Complex Roots
   • Solving Higher Order Homogeneous Diff...  


Bessel Equation and Its Solution    • Bessel Equation and Its Solution  

Bessel Function First Order and Half order    • Bessel Function  First Order and Hal...  

Generating Function For Bessel's Function( J n (x) )    • Generating Function For Bessel's Func...  

Properties Bessel Function (with proof)    • Properties  Bessel Function (with pr...  

Bessels Equation – Numericals    • Bessels Equation  Numericals  


UNIT 3

Applied Mathematics II Matrices II GGSIPU Delhi II Topics Review    • Unit 3  Applied Mathematics II Matri...  

Matrices Types and Applications || Symmetric, SkewSymmetric, Orthogonal Matrix, Triangular Matrice    • Matrices  Types and Applications || ...  

Gauss Elimination – Matrices    • Gauss Elimination  Matrices  

Linearly Independent and Dependent Vector    • Linearly Independent and Dependent Ve...  

Rank of Matrix    • Rank of Matrix  Sem 1 Maths  

Solution of Linear Systems : Concept of Existence and Uniqueness    • Solution of Linear Systems : Concept ...  

CRAMER'S Rule    • Solution of Linear System of Equation...  

Gauss Jordan Method Inverse of Matrix    • Gauss Jordan Method  Inverse of Matrix  


Matrix Eigen Value Problem Concept II Characteristic Equation , Eigen Values and Eigen Vectors    • Matrix Eigen Value Problem  Concept ...  

Eigen values and Eigen Vectors    • Eigen values and Eigen Vectors  Matr...  

Diagonalizing a Square Matrix Concept    • Diagonalizing a Square Matrix  Conce...  

Diagonalizing a Square Matrix Numerical (Type 1)    • Diagonalizing a Square Matrix  Numer...  

Diagonalizing a Square Matrix Numerical (Type 2)    • Diagonalizing a Square Matrix  Numer...  

Reduction of Quadratic Form to Canonical Form [Concept]    • Reduction of Quadratic Form to Canoni...  

Reduction of Quadratic Form to Canonical Form Numerical    • Reduction of Quadratic Form to Canoni...  


Caley Hamilton Theorem    • Caley Hamilton Theorem  Matrices  


UNIT 4

Unit 4 Applied Mathematics 1 II GGSIPUII Topics Review    • Unit 4  Applied Mathematics 1 II GGS...  

Scalar and Vector Point Function II Gradient of a Scalar Function [Concept with Numerical Part 1]    • Scalar and Vector Point Function II G...  

Scalar and Vector Point Function II Gradient of a Scalar Function [Numericals Part 2]    • Scalar and Vector Point Function II G...  

Derivative & Directional Derivative Concept With Numericals    • Derivative & Directional Derivative ...  
Divergence and Curl Of Vector Point Function or Fields Concept with Numericals    • Divergence and Curl Of Vector Point F...