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M01 - Calculus
29 Lessons-
StartL1 - Basics: Trigonometry
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StartL2 - Basics: Natural Logarithm
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StartL3 - Basics: Properties of Logarithm
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StartL4 - Basics: Derivative of Logarithm
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StartL5 - Basics: Logarithmic Differentiation
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PreviewL6 - Coordinate Systems - Cartesian vs Polar
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PreviewL7 - Intro to Polar Curves
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PreviewL8 - Polar Curves vs Cartesian Curves
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PreviewL9 - Angle betn Radius Vector and Tangent - Derivation
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StartL10 - Angle betn Radius Vector and Tangent Q1,2,3
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StartL11 - Angle betn 2 curves
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StartL12 - Angle betn 2 curves Q1
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PreviewL13 - Angle betn 2 curves MP1 - Q1b
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StartL14 - Angle betn 2 curves MP2 - Q1b
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StartL15 - Angle betn 2 curves MP2 - Q2a
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StartL16 - Pedal Equation of Polar Curve
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StartL17 - Pedal Equation Q1
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StartL18 - Pedal Equation MP2 - Q2b
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StartL19 - Pedal Equation MP1 - Q2b
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StartL20 - Pedal Equation Q2
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StartL21 - Pedal Equation MP1 - Q2a
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StartL22 - Radius of Curvature - Formula
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StartL23 - Radius of Curvature Q1
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StartL24 - Radius of Curvature Q2
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StartL25 - Radius of Curvature MP1 - Q2c
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StartL26 - Radius of Curvature MP2 - Q2c
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StartL27 - Radius of Curvature (Polar) - Q3
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PreviewL28 - Radius of Curvature (Polar) MP1 Q1c
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StartL29 - Radius of Curvature (Polar) MP2 Q1c
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M02 - Series Expansion and Multivariable Calculus
10 Lessons-
StartL1 - Trigonometry for Maclaurin's series
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StartL2 - Differentiation for Maclaurin-s series
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StartL3 - Pre-requisites for Maclaurin's series
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StartL4 - Maclaurin's series - Intro
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StartL5 - SQP Que 1
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StartL6 - What are Indeterminates
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StartL7 - How to solve 0/0 form (L-Hospital's rule)
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StartL8 - How to solve (0 X ∞) form
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StartL9 - How to solve 1^∞ form
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StartL10 - SQP Que 2
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M03 - ODEs of First Order
28 Lessons-
StartL1 - Basics: Partial Differentiation
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StartL2 - Exact Differential Equation
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StartL3 - Exact DE Q1,2
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StartL4 - Exact DE Q3,4,5
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StartL5 - Convert to Exact DE
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StartL6 - Convert to Exact DE Q1
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StartL7 - Convert to Exact DE Q2,3
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StartL8 - Convert to Exact DE MP1 Q6a
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StartL9 - Convert to Exact DE MP2 Q6a
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StartL10 - Basics: Algebra
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StartL11 - Solve for p
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StartL12 - Solve for p MP1 Q5c
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StartL13 - Solve for p MP2 Q5c
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StartL14 - Newton's Law of Cooling
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StartL15 - NLoC Q1,2
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StartL16 - NLoC MP1 Q6b
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StartL17 - NLoC MP2 Q5b
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StartL18 - Basics: Integrals of trig functions
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StartL19 - Bernoulli 1st order equation
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StartL20 - Bernoulli equation Q1,2,3
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StartL21 - Bernoulli equation MP2 Q5a
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StartL22 - Bernoulli equation MP1 Q5a
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StartL23 - Orthogonal trajectories
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StartL24 - Orthogonal trajectories Q1,2
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StartL25 - Orthogonal trajectories MP1 Q5b
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StartL26 - Orthogonal trajectories MP2 Q6b
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StartL27 - Clairaut's equation MP2 Q6c
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StartL28 - Convert to Clairaut's equation MP1 Q6c
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M05 - Linear Algebra
24 Lessons-
PreviewL1 - Matrix Row Operations
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PreviewL2 - Rank of Matrix Q1
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PreviewL3 - Rank of Matrix Q2
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PreviewL4 - Rank of Matrix MP1 - Q9a
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PreviewL5 - Rank of Matrix MP1 - Q10a
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PreviewL6 - Rank of Matrix MP2 - Q9a
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PreviewL7 - Test for Consistency and Solvability
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PreviewL8 - Test for Consistency and Solve MP2 - Q10a
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PreviewL9 - Find λ and μ MP1 - Q10b
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PreviewL10 - Find λ and μ Q1
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StartL11 - Gauss Elimination Method MP2 - Q9b
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PreviewL12 - Gauss Elimination Method Q1
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PreviewL13 - Gauss Elimination Method Q2
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PreviewL14 - Gauss-Jordan Method Q1
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StartL15 - Gauss-Jordan Method Q2
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StartL16 - Gauss-Jordan Method MP1 - Q9b
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StartL17 - Gauss-Jordan Method MP2 - Q10b
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StartL18 - Gauss-Seidel Method MP1 - Q10c
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StartL19 - Gauss-Seidel Method MP2 - Q9c
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PreviewL20 - Gauss-Seidel Mehod Q1
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StartL21 - Eigenvalues and Eigenvectors
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PreviewL22 - Rayleigh's Power Method MP1 - Q9c
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StartL23 - Rayleigh's Power Method MP2 - Q10c
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PreviewL24 - Rayleigh's Power Method Q1
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