.Area between two curves
Review the Formulas and Techniques Integration by Parts
Trigonometric Techniques
of Integration
Integration of Rational Functions using Partial Fractions Improper Integrals.
Infinite Series (Convergence and divergence)
Integral test, p-series test, Comparison test, Limit
Comparison test Alternating series
Absolute convergence: ratio test, root test
Power series.
Functions of several
variables Limits and Continuity
Partial derivatives
Tangent Planes
Chain rule
The gradient and
directional derivatives, Double Integrals in
Cartesian Coordinates;
Doubles Integrals in Polar Coordinates. Surface Area
Triple Integrals in Cartesian Coordinates
Plane Curves and Parametric Equations
Calculus and Parametric Equations
Arc Length and Surface
Area in Parametric Equations
Polar Coordinates
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