This is the input file: worksheet.tex
Worksheet 1 [pdf] [tex] - Math 408C Review
Worksheet 2 [pdf] [tex] - vectors (addition, subtraction, angle between..., orthogonality)
Worksheet 3 [pdf] [tex] - Dirac's Belt Trick (rotations in three space, fundamental group)
Worksheet 4 [pdf] [tex] - dot product (orthogonality, angles, force)
Worksheet 5 [pdf] [tex] - dot product (force and work, projections)
Worksheet 6 [pdf] [tex] - planes (equation of, distance to, hyperplanes)
Worksheet 7 [pdf] [tex] - planes (equations of, distance between, tangent, projection to)
Worksheet 8 [pdf] [tex] - cross product (area and volume, identities, geometry of, flux)
Worksheet 9 [pdf] [tex] - physics of rotation (moment of force, angular velocity, torque, angular momentum, precession)
Worksheet 10 [pdf] [tex] - lines, planes (equations of), paths (cycloids)
Worksheet 11 [pdf] [tex] - lines (equations of), parameterized curves, orbits (Kepler's 3rd law)
Worksheet 12 [pdf] [tex] - parametric equations (ellipse, graphing), miscellaneous stuff
Worksheet 13 [pdf] [tex] - lines (equations of, orthogonality), planes (equations of, orthogonality, tangent), central force
Worksheet 14 [pdf] [tex] - parameterized paths (graphing, velocity, speed, acceleration, tangent lines)
Worksheet 15 [pdf] [tex] - parameterized paths (velocity, speed, acceleration, angle of incidence), surfaces (paths in, tangent planes)
Worksheet 16 [pdf] [tex] - arc-length (velocity/speed, reparameterization, parameterization by arc-length)
Worksheet 17 [pdf] [tex] - Practice Exam
Worksheet 18 [pdf] [tex] - partial derivatives (computation via definition and by holding x or y constant, directional derivative, mixed partials, level sets, gradient)
Worksheet 19 [pdf] [tex] - level sets (contour lines and topo maps), partial derivatives (circuits, ideal gas law, wave equation, implicit partials)
Worksheet 20 [pdf] [tex] - just what is the "x-direction" anyway?" (partial derivatives and coordinate changes)
Worksheet 21 [pdf] [tex] - gradient (geometric interpretation, contour lines, direction of greatest increase, directional derivatives)
Worksheet 22 [pdf] [tex] - directional derivatives (the chain rule, Astroid 1997 XF11)
Worksheet 23 [pdf] [tex] - directional derivatives (maximal increase, computation), extrema of functions of two variables (2nd derivative test, max/min/saddle points)
Worksheet 24 [pdf] [tex] - directional derivatives (partial derivatives, gradients), extrema (2nd derivative test, classification of critical points)
Worksheet 25 [pdf] [tex] - extrema of functions of several variables (second derivative test, Lagrange multipliers, regions with boundary), chain rule
Worksheet 26 [pdf] [tex] - extrema (Lagrange multipliers)
Worksheet 27 [pdf] [tex] - functions of 2 variables (extrema, graphs, partial derivatives, chain rule, directional derivative)
Worksheet 28 [pdf] [tex] - double integrals (integrals with parameters, evaluating double integrals, regions of integration)
Worksheet 29 [pdf] [tex] - double integrals (region of integration, reversing order of integration, volumes of solids), triple integrals
Worksheet 30 [pdf] [tex] - double integrals (computation, volume), infinite series
Worksheet 31 [pdf] [tex] - infinite sums (the harmonic series, repeating decimals, geometric series, Riemann sums, golden mean}
Worksheet 32 [pdf] [tex] - sequences (definition of a limit, proof of convergence, Squeeze Theorem), series (sequence of partial sums, divergence test & proof)
Worksheet 33 [pdf] [tex] - limits of sequences (computing, definition, properties)
Worksheet 34 [pdf] [tex] - limits of sequences
Worksheet 35 [pdf] [tex] - limits (indeterminate forms and L'Hospital's Rule)
Worksheet 36 [pdf] [tex] - limits (L'Hospital's Rule, Fibonacci sequence, subsequences, double sequences)
Worksheet 37 [pdf] [tex] - Practice Exam III
Worksheet 38 [pdf] [tex] - Series (convergence/divergence tests)
Worksheet 39 [pdf] [tex] - Series (convergence/divergence tests)