Mathematics- Calculus II–

Integration Techniques- Substitution Method (u-Substitution), Integration by Parts, Partial Fraction Decomposition, Trigonometric Substitution, Trigonometric Integrals, Integration of Rational Functions, Integration by Trigonometric Substitution, Improper Integrals, Integration of Exponential and Logarithmic Functions, Integration of Hyperbolic Functions, Integration by Rationalizing Substitution, Integration of Special Functions, Integration Using Tables, Numerical Integration.

Applications of Integration- Area Under Curves, Volumes of Solids, Length of Curves, Surface Area, Center of Mass and Moments of Inertia, Work, Probability and Statistics, Differential Equations, Fluid Mechanics, Electromagnetism, Economics.

Sequences and Series- Arithmetic Sequence, Arithmetic Series, Geometric Sequence, Geometric Series, Harmonic Sequence, Harmonic Series, Fibonacci Sequence, Binomial Series.

Polar Coordinates- Polar Coordinates, Polar Coordinates with Positive and Negative r, Polar Coordinates with Positive and Negative θ, Polar Coordinates with Adjusted θ Ranges, Polar Coordinates with Different Poles.

Parametric Equations- Linear Parametric Equations, Circular Parametric Equations, Elliptical Parametric Equations, Parabolic Parametric Equations, Hyperbolic Parametric Equations, Spline Parametric Equations, Polar Parametric Equations, Parametric Surfaces.

Differential Equations- Ordinary Differential Equations (ODEs), Partial Differential Equations (PDEs), Linear Differential Equations, Nonlinear Differential Equations, First-Order Differential Equations, Second-Order Differential Equations, Homogeneous Differential Equations, Nonhomogeneous Differential Equations.