<p>Calculus I will be an introductory calculus class, but don’t be deceived by the ‘introductory’ part of that phrase. It’s calculus. It’s introductory much in the same sense as introductory calculus based physics. It’s still going to be difficult. </p>
<p>Calculus I basically takes you through a development of limits which leads to the derivative. Then you’ll cover a bunch of different methods of taking derivatives such as the power rule, product rule, quotient rule, chain rule (or extended power rule), as well as the derivatives of transcendental functions (trig functions, logarithmic functions, and exponential functions), and different applications of differential calculus (related rates, graphing, optimization problems, position>velocity>acceleration with initial conditions and other applications). When I took Calculus I, the last topic we covered was an introduction to integration. We didn’t cover logarithmic and exponential functions until Calculus II though. It can be structured somewhat differently depending on the school. </p>
<p>All that said, it would be difficult to learn calculus I in only 5 weeks, especially with a statistics course on top of it. If you have to go further in calculus, it would be hard to adequately learn the material. Once you get beyond calc I, it’s assumed that you know how to take most derivatives. Calc II is basically all integration, sequences, and series. But you’ll still have to take some derivatives, and the methods of doing so typically won’t be covered. </p>