This course has been designed as a standard course in the calculus of one variable. Our intent is to present the material in the clearest possible way. Our primary effort will be to teach the subject matter with a level of rigor suitable for the non-AP student. Calculus is a branch of mathematics which provides for solving two large classes of problems. The first of these involves finding the rate at which a variable quantity is changing.
Differential calculus is the branch of calculus which treats such problems.
The second type of problem deals with finding a function when its rate of change is given. Integral calculus is the branch which treats these problems. Modern science and engineering uses both branches of calculus as a language for expressing physical laws in precise mathematical terms, and as a tool for studying the consequences of those laws. In line with the present thrust in mathematics an effort will be made to encourage active student involvement in problem solving. This would encompass logical reasoning, and estimation techniques along with the tools of calculus.