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...  

Non-Homogeneous D.E. Reducible to Exact Form II Integrating factor    • Solving Non-Homogeneous 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, Skew-Symmetric, 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...