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m10b
F1: Compute derivatives of functions
F2: Compute antiderivatives of functions
F3: Evaluate limits
F4: Evaluate a limit using L'Hôpital's rule
F8: Evaluate an integral using integration by parts
F9: Find the general solution to a separable differential equation
F10: Evaluate a geometric series
G7: Set up an integral to compute volume using the disk method
G8: Set up an integral to compute volume using the washer method
G10: Evaluate an integral using basic partial fractions
G11: Identify and apply a proper method to evaluate an integral
G12: Solve a word problem on Chapter 3 material
G13: Determine whether an improper integral converges or diverges
G14: Determine convergence of an improper integral with a discontinuous integrand
G16: Find the particular solution to a separable differential equation
G17: Solve a word problem involving a differential equation
G18: Demonstrate an understanding of the underlying concept of an infinite series
m10a
F1: Factor polynomials
F2: Trig of special angles
F3: Evaluate logarithms
F4: Graph basic functions
F5: Rational inequalities
F6: Function and derivative graphs
F7: Product, quotient, and chain rules
F8: Tangent line at a point
F9: Increasing, decreasing, and extrema
G1: Limits from graphs
G2: Finite limits using limit laws
G3: Continuity at a point
G5: Tangent from a graph or indirect info
G7: Derivative from the limit definition
G8: Derivatives (several rules)
G9: Rate interpretation (Ch.3)
G10: Implicit differentiation
G12: Analyze a function from abstract information
G13: Related Rates
G14: Absolute extrema on a closed interval
G15: Concavity and inflection points
G16: Limits at infinity
G17: Infinite limits
G18: Graph a function (calculus techniques)
G19: Optimization word problems
G20: Limits via L'Hôpital's rule
G21: Horizontal and vertical asymptotes
G22: Direct antiderivatives
G24: Word problems (Ch.4)
G25: Riemann sums and area
G26: Integral concept from graphs
G27: Properties of integrals
G28: Word problems (Ch.5)
G29: Definite integrals via FTC
G30: Antiderivatives with u-substitution