Module 1: Basic Calculus
Simply select the Number [For Language 1(Guj.), 2.(Hindi) 3.(Also Hindi)] and it will guide you Directly to YT Video For Required Topic's Learning.
Evaluation of Improper Integrals (Type-I and Type-II).
Beta Function (Definition and Properties).
Gamma Function (Definition and Properties).
Relationship between Beta and Gamma Functions.
Applications of Definite Integrals.
Volumes of Solids of Revolution.
Areas of Surfaces of Revolution.
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Module 2: Single-variable Calculus (Differentiation)
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Taylor’s and Maclaurin’s theorem for a function of one variable
Taylor’s and Maclaurin’s series of a function using statement of the theorems
Extreme values of functions
Indeterminate forms and L' Hospital's rule
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Module 3: Sequences and series
Simply select the Number [For Language 1(Guj.), 2.(Hindi) 3.(Also Hindi)] and it will guide you Directly to YT Video For Required Topic's Learning.
Convergence and Divergence of Sequences.
Limit Comparison Test
Comparison Test
Integral Test
Convergence and Divergence of Infinite Series.
Tests for Convergence/Divergence:
D’Alembert’s Ratio Test
Cauchy’s Root Test
Alternating Series Test
Absolute vs. Conditional Convergence.
Power Series.
Radius and Interval of Convergence.
Telescoping Series
Geometric Series Test
p-Series Test
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Module 4: Multivariable Calculus (Differentiation)
Simply select the Number [For Language 1(Guj.), 2.(Hindi) 3.(Also Hindi)] and it will guide you Directly to YT Video For Required Topic's Learning.
Functions of Several Variables.
Tangent Planes and Normal Lines to a Surface.
Directional Derivatives.
Gradient Vector.
Limits and Continuity.
Partial Derivatives. (1st Order) & (2nd Order)
Local Extreme Values (Maxima, Minima).
Saddle Points.
Method of Lagrange Multipliers (for Constrained Optimization).
Mixed Derivative Theorem (Clairaut’s Theorem).
Total Derivative and Differentiability.
Chain Rule.
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Module 5: Multivariable Calculus (Integration)
Simply select the Number [For Language 1(Guj.), 2.(Hindi) 3.(Also Hindi)] and it will guide you Directly to YT Video For Required Topic's Learning.