Calculus with Analytic Geometry
Welcome to year one calculus! We'll be taking advantage of the Khan Academy's instruction and testing for the entire series of freshman math. Each course corresponds to a Khan Academy "mission," with a link provided below.
Be sure to check your local public library as well. This material is not specialized enough that you will have much difficulty in finding good study materials. An AP (Advanced Placement) Calculus test study guide should cover much at this level.
If you're here on line because you aren't able to attend a university, you might consider a community college. These courses are very likely to be offered there.
If you are looking for a textbook, you will find that many if not most of them will break down calculus into the same three sections you see below. Don't be too surprised if you find a good one for under ten dollars at your local second-hand store. I did.
|Course Number||(Alt. title)||Course Name||Course overview||Mission Central|
|MATH 124||Differential Calculus
||Calculus with Analytic Geometry I||In 20
words or less: Differential calculus is about
calculating the instantaneous value of some measurement that is
changing at a known rate.
Functions; limits; taking derivatives; finding minima and maxima
|MATH 125||Integral Calculus
||Calculus with Analytic Geometry II||In 20
words or less: Integral calculus is about
calculating the cumulative value of something having various,
but known, values over a continuous interval.
Antiderivatives; definite integrals; area between two curves; volumes of solids.
|MATH 126||Multivariable Calculus
||Calculus with Analytic Geometry III||In 20
words or less: How to do calculus on values that
depend on more than one variable.
Double and triple integrals; partial derivatives; gradient, divergence, and curl; Surface integrals and Stokes' theorem; Divergence theorem.