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1: Calculus
Detailed Notes on Improper Integrals
Detailed Notes on Beta and Gamma Functions
Applications of Definite Integrals
2: Sequences and Series
Sequences and Convergence
Infinite Series
Tests of Convergence
Power Series
Taylor and Maclaurin Series
3: Fourier Series
Periodic and Symmetry
Fourier Series
Fourier Series - Change of Interval
Half-Range Fourier Series
Parsevals Theorem
4: Multivariable Calculus (Differentiation)
Functions of Several Variables
Partial Derivatives
Tangent Planes and Normals
Extremum of Functions
Lagrange Multipliers
Vector Differential Operators
5: Multivariable Calculus (Integration)
Double Integrals
Change of Variables
Applications of Double Integrals
Triple Integrals
Line and Surface Integrals
Integral Theorems