Calculus II (Integral)
Accumulation, techniques of integration, and infinite series.
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Definite Integrals and the Fundamental Theorem
Riemann sums, the FTC, and antiderivatives.
Techniques of Integration
Substitution, parts, trig integrals, trig substitution, and partial fractions.
Applications of Integration
Areas, volumes of revolution, arc length, and work/average value.
Improper Integrals
Convergence of unbounded integrals and comparison tests.
Sequences and Series
Convergence tests: divergence, integral, comparison, ratio, root, alternating.
Power and Taylor Series
Radius of convergence, Taylor/Maclaurin expansions, and applications.
Parametric and Polar Calculus
Curves, slopes, areas and arc length in parametric and polar form.