Calculus, Differential Equations and Linear Algebra - 22MATC11

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L1 - Basics: Trigonometry
L2 - Basics: Natural Logarithm
L3 - Basics: Properties of Logarithm
L4 - Basics: Derivative of Logarithm
L5 - Basics: Logarithmic Differentiation
L6 - Coordinate Systems - Cartesian vs Polar Preview
L7 - Intro to Polar Curves Preview
L8 - Polar Curves vs Cartesian Curves Preview
L9 - Angle betn Radius Vector and Tangent - Derivation Preview
L10 - Angle betn Radius Vector and Tangent Q1,2,3
L11 - Angle betn 2 curves
L12 - Angle betn 2 curves Q1
L13 - Angle betn 2 curves MP1 - Q1b Preview
L14 - Angle betn 2 curves MP2 - Q1b
L15 - Angle betn 2 curves MP2 - Q2a
L16 - Pedal Equation of Polar Curve
L17 - Pedal Equation Q1
L18 - Pedal Equation MP2 - Q2b
L19 - Pedal Equation MP1 - Q2b
L20 - Pedal Equation Q2
L21 - Pedal Equation MP1 - Q2a
L22 - Radius of Curvature - Formula
L23 - Radius of Curvature Q1
L24 - Radius of Curvature Q2
L25 - Radius of Curvature MP1 - Q2c
L26 - Radius of Curvature MP2 - Q2c
L27 - Radius of Curvature (Polar) - Q3
L28 - Radius of Curvature (Polar) MP1 Q1c Preview
L29 - Radius of Curvature (Polar) MP2 Q1c

L1 - Trigonometry for Maclaurin's series
L2 - Differentiation for Maclaurin-s series
L3 - Pre-requisites for Maclaurin's series
L4 - Maclaurin's series - Intro
3 Solved Numericals
L6 - What are Indeterminate Forms
L7 - How to solve 0/0 form (L-Hospital's rule)
L8 - How to solve (0 X ∞) form
L9 - How to solve 1^∞ form
1 Solved Numerical

L1 - Basics: Partial Differentiation
L2 - Exact Differential Equation
L3 - Exact DE Q1,2
L4 - Exact DE Q3,4,5
L5 - Convert to Exact DE
L6 - Convert to Exact DE Q1
L7 - Convert to Exact DE Q2,3
L8 - Convert to Exact DE MP1 Q6a
L9 - Convert to Exact DE MP2 Q6a
L10 - Basics: Algebra
L11 - Solve for p
L12 - Solve for p MP1 Q5c
L13 - Solve for p MP2 Q5c
L14 - Newton's Law of Cooling
L15 - NLoC Q1,2
L16 - NLoC MP1 Q6b
L17 - NLoC MP2 Q5b
L18 - Basics: Integrals of trig functions
L19 - Bernoulli 1st order equation
L20 - Bernoulli equation Q1,2,3
L21 - Bernoulli equation MP2 Q5a
L22 - Bernoulli equation MP1 Q5a
L23 - Orthogonal trajectories
L24 - Orthogonal trajectories Q1,2
L25 - Orthogonal trajectories MP1 Q5b
L26 - Orthogonal trajectories MP2 Q6b
L27 - Clairaut's equation MP2 Q6c
L28 - Convert to Clairaut's equation MP1 Q6c

L6 - Particular Soln - Variation of Parameters
MP1 Q7c - Numerical on VoP
MP2 Q7c - Numerical on VoP

L1 - Matrix Row Operations Preview
L2 - Rank of Matrix Q1 Preview
L3 - Rank of Matrix Q2 Preview
L4 - Rank of Matrix MP1 - Q9a Preview
L5 - Rank of Matrix MP1 - Q10a Preview
L6 - Rank of Matrix MP2 - Q9a Preview
L7 - Test for Consistency and Solvability Preview
L8 - Test for Consistency and Solve MP2 - Q10a Preview
L9 - Find λ and μ MP1 - Q10b Preview
L10 - Find λ and μ Q1 Preview
L11 - Gauss Elimination Method MP2 - Q9b
L12 - Gauss Elimination Method Q1 Preview
L13 - Gauss Elimination Method Q2 Preview
L14 - Gauss-Jordan Method Q1 Preview
L15 - Gauss-Jordan Method Q2
L16 - Gauss-Jordan Method MP1 - Q9b
L17 - Gauss-Jordan Method MP2 - Q10b
L18 - Gauss-Seidel Method MP1 - Q10c
L19 - Gauss-Seidel Method MP2 - Q9c
L20 - Gauss-Seidel Mehod Q1 Preview
L21 - Eigenvalues and Eigenvectors
L22 - Rayleigh's Power Method MP1 - Q9c Preview
L23 - Rayleigh's Power Method MP2 - Q10c
L24 - Rayleigh's Power Method Q1 Preview