Math 2300-004, Spring 2019 [back]

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Here is the official website with all the important stuff.
short-form syllabus.
webassign online homework, ~daily assignments (see here).

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an overview of precalc, i.e. stuff you should already know.
Convergence/Divergence of series problems and solutions (without details).
Some differentiation practice with solutions.
Some integration practice with solutions.
Some separable differential equations with solutions.

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CLASSROOM: MUEN E118
OFFICE HOURS: MW, 1-3 (or by appointment, robert.hines@colorado.edu)

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QUIZZES

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quiz 2, solutions
quiz 3, solutions
quiz 4, solutions
quiz 5, solutions
quiz 6, solutions
quiz 7
quiz 8, solutions
quiz 9, solutions
quiz 10, solutions
quiz 11 [in-class portion], solutions
quiz 11 [take-home portion], solutions
quiz 12, solutions

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Other Material

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Prelude
differentiation cheat sheet YOU HAVE TO KNOW ALL OF THIS
Techniques of integration
integration by substitution, solutions
integration by parts, solutions
some trigonometric integrals, solutions
inverse trigonometric substitution, solutions
partial fractions, solutions
a proof of the error bound for the trapezoidal rule (extra-cirricular)
Applications of integration
volume by integrating cross-sectional area, solutions
washers/shells (volumes of revolution), solutions
work, solutions
centroids
Series
sequences
intro to series
integral test
comparison test
ratio test
CONVERGENCE TESTS SUMMMARY
Taylor series
Taylor polynomials, solutions
power series, solutions
Taylor series, solutions
Estimating error for Taylor polynomials
Separable differential equations
Euler's method
some separable equations with answers
exponential growth/decay and logistic growth, solutions
Calculus with parametric curves and polar coordinates
polar coordinates, solutions

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Robert Hines MATH 340 robert.hines@colorado.edu