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Math 100 (104): Partial Course Notes
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Sep. 9:
very brief review of functions and graphs
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Sep. 11:
the tangent and velocity problems; limits
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Sep. 14, 16:
calculating limits using the limit laws
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Sep. 16, 18:
continuity
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Sep. 18, 21:
limits at infinity: horizontal asymptotes
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Sep. 21, 23:
derivatives and rates of change
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Sep. 23:
the derivative as a function
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Sep. 25:
differentiation rules
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Sep. 28,30:
derivatives of trig functions
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Oct. 5:
chain rule
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Oct. 7, 9:
inverse functions and logarithms
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Oct. 14:
implicit differentiation
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Oct. 14, 16:
derivatives of logarithms
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Oct. 19:
rates of change in the natural and social sciences
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Oct. 19, 21:
exponential growth and decay
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Oct. 23:
related rates
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Oct. 26:
linear approximation
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Oct. 26, 28:
Taylor polynomials (online notes on Taylor polynomials are
here)
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Oct. 30:
Taylor's formula with remainder
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Nov. 2:
Taylor series
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Nov. 9:
Maximum and minimum values
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Nov. 13:
mean value theorem
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Nov. 16, 18:
how derivatives affect the shape of a graph
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Nov. 20:
summary of curve sketching
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Nov. 23, 25:
optimization problems
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Nov. 27:
Newton's method
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Nov. 30,
Dec. 2:antiderivatives
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