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...
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