This bundle includes 6 units, and 35 total lessons. The units that are included in this bundle are:
Unit 1: Introduction to Limits (4 lessons, 2 exams--with solution key)
evaluating limits analytically
simple graphical limits
Continuity and one-sided limits
Calculating infinite limits and determining vertical asymptotes
Unit 2: Introduction to Derivatives (6 lessons, one BINGO activity and 2 tests--with solution key)
the quotient rule
the product rule
the chain rule
basic related rates
Unit 3: Application of Differentiation (7 lessons, NO EXAMS)
extrema on an open interval
the first derivative test (increasing, decreasing and extrema)
given the graph of a function, sketching the derivative
application of the first and second derivative tests and check for asymptotes and then sketch what the graph looks like
second derivative test for concavity and points of inflection. Algebraically and given a graph
Unit 4: Introduction to Integration (Anti-derivatives) (5 lessons, 2 tests--with solution key)
This lesson covers antiderivatives and indefinite integration.
This lesson covers left endpoint approximations, right endpoint approximations and midpoint approximations of area under a curve.
This lesson covers Riemann Sums and Definite Integrals using geometric areas under curves.
This lesson covers the Fundamental Theorem of Calculus, integrals of absolute value functions, and using the integral to evaluate the average value of a function on a given interval.
This lesson covers Integration by Substitution (u-substitution for integration)
Solutions are included for the exams.
Unit 5: Special Functions Differentiation and Integration (9 lessons, 2 exams--solution key for exams)
Derivatives and integrals of:
log of any base
inverse trig functions
Solving simple differential equations
Unit 6: Application of Integration (3 lessons, NO EXAMS)
Area between two curves
Disk method for finding volume
Shell method for finding volume