Calculus 1
General Education: Skills - Quantitative
Prerequisite:algorithm is run on students' records to determine appropriate placement in a math class.
PREN & ENGR students can take this to fulfill APPM 1350. While APPM 1350 is preferred, MATH 1300 is accepted, per an Engineer adviser and the Asst Dean & Director of Engineering Services. An algorithm is run on students' records to determine appropriate placement in a math class.
REQUIRED EVENING MIDTERM EXAMS for all sections will be held. See your course registration for details. Exams cannot be made up or rescheduled. Please verify that you have no time conflicts with these exams before enrolling this class.
Course description:
Calculus is one of the great inventions in our world. It has a multitude of applications that range from engineering and the natural sciences such as Physics, Chemistry, and Biology to business, economics, and the humanities. In this course we will answer two fundamental problems: find the slope of the tangent line to the graph of a function and find the area under the graph of a function. The first problem is answered by the derivative function and the second one is answered by the Riemann integral. Through the idea of a limit, the basic building block of Calculus, we will carefully develop the notions of the derivative and the integral and will give some of their applications. For example, using derivatives, we will be able to determine what the graph of a function looks like or solve optimization problems such as enclosing a maximum rectangular area given a fixed amount of fencing. The integral will lead to finding areas bounded between the graphs of two functions as well as finding distance traveled given a velocity function.
