Worksheet 1 [pdf] [tex] - algebra review (common mistakes, absolute values), cutting cake, a lame fly
Worksheet 2 [pdf] [tex] - derivatives (geometric meaning, as instantaneous velocity, properties), limits (delta-epsilon definition, properties), cutting cake
Worksheet 3 [pdf] [tex] - interpereting a graph, geometric meaning of the derivative, Newton's method, a train paradox, bears
Worksheet 4 [pdf] [tex] - shifting and rescaling graphs, limits, the Squeeze Theorem, continuous speed limits, the train again
Worksheet 5 [pdf] [tex] - evaluating limits (calculators and guessing, algebraic techniques), properties of limits, the Squeeze Theorem, limit of sin(x)/x
Worksheet 6 [pdf] [tex] - continuity, differentiability implies continuity (via Squeeze Theorem), product rule, lighthouses
Worksheet 7 [pdf] [tex] - tangent lines, limit of (1-cos x)/x (Squeeze Theorem again), chain rule, derivative of x^(p/q)
Worksheet 8 [pdf] [tex] - continuity and differentiability, Galileo, trig derivatives, limits
Worksheet 9 [pdf] [tex] - trig functions, trig limits, continuity, a strange definition of the derivative, the lame fly returns
Worksheet 10 [pdf] [tex] - differentiability, chain rule, derivative of an inverse
Worksheet 11 [pdf] [tex] - tangents, odd/even derivatives, velocity, nth derivative of a product, chain rule, why we use radians in Calculus
Worksheet 12 [pdf] [tex] - composition of functions, related rates, chain rule, derivative od an inverse
Worksheet 13 [pdf] [tex] - domain, the limit e, derivatives of logarithms and exponentials, inverses
Worksheet 14 [pdf] [tex] - properties of logarithms, solving equations with logs, derivatives of exponentials, rumors, Newton's Law of cooling
Worksheet 15 [pdf] [tex] - Intermediate Value Theorem, Mean Value Theorem, convex sets, cutting cake, antipodal temperatures
Worksheet 16 [pdf] [tex] - implicit differentiation, inverse trig functions
Worksheet 17 [pdf] [tex] - implicit differentiation, tangent lines, partial derivatives, Pythagoras and Einstein
Worksheet 18 [pdf] [tex] - implicit differentiation, velocity, related rates, tangent lines
Worksheet 19 [pdf] [tex] - implicit differentiation, related rates, McAdam vs. Nitro, shadow problems, circular-linear motion
Worksheet 20 [pdf] [tex] - related rates - focus on setting up the problem
Worksheet 21 [pdf] [tex] - differentiability, x^2sin(1/x), tangent lines, pistons
Worksheet 22 [pdf] [tex] - critical points, extrema, max/min problems
Worksheet 23 [pdf] [tex] - tangent lines, max/min problems, velocity
Worksheet 24 [pdf] [tex] - antiderivatives, differential equations, tangent lines
Worksheet 25 [pdf] [tex] - quantum mechanics, Heisenberg uncertainty principle, max/min problem
Worksheet 26 [pdf] [tex] - area, estimates
Worksheet 27 [pdf] [tex] - area, fundamental theorem of calculus, proof of the 1st FTC, partitions and estimates
Worksheet 28 [pdf] [tex] - definition of the definite integral, even/odd functions, applications of the definite integral - density/mass, velocity/distance
Worksheet 29 [pdf] [tex] - antidervative and Fundamental Theorem computations, area
Worksheet 30 [pdf] [tex] - applications of the definite integral - force/work, probability, kinetic energy
Worksheet 31 [pdf] [tex] - the Fundamental Theorem, partitions, the average of a function, average velocity, Mean Value Theorem for Integrals
Worksheet 32 [pdf] [tex] - the Fundamental Theorem, average values, area, deriving an arclength formula, arclength computations, velocity
Worksheet 33 [pdf] [tex] - definition of a definite integral, computations "the long way" with the definition, antiderivatives
Worksheet 34 [pdf] [tex] - area between curves, volumes of revolution (disc, washer, and shell methods), volume by cross-sectional areas, infinite paint cans
Worksheet 35 [pdf] [tex] - area between curves, volumes of revolution, volumes by cross-sectional areas, deriving some familiar volume formulas, antiderivatives, springs/damping forces, average values
Worksheet 36 [pdf] [tex] - chemical reactions, integration by parts