Textbook: Calculus (Early Transcendentals) (sixth edition) by James Stewart, ISBN 978-0-495-01166-8 or 0-495-01166-5
In Calculus I, we will learn about derivatives, integrals, and the Fundamental Theorem of Calculus that relates these two basic operations on functions. We'll begin by introduing the notion of limit which is essential to defining derivatives and integrals. By the end of the semester, students should know precise definitions of the derivative and integral, understand some of their important applications, and understand the Fundamental Theorem of Calculus which relates the two.
We will illustrate the ideas and methods of calculus by studying several physical and geometric problems. We'll understand the derivative as a rate of change (for example the speed of a body moving along a line), or as the slope of the tangent line to the graph of a function. We'll understand the integral as the area under a curve or the distance travelled by an object moving on a straight line with given velocity. We will also apply the integral to computing volumes of familiar solids such as spheres and cones.
In order to help you learn to write mathematics and present clear, well-written solutions to problems, there will be six written assignments. Your solutions to these assignments are expected to be carefully written in complete sentences and grammatically correct English. You should give clear reasoning and present the steps of your solution in logical order.
We will cover most of Chapters 1 to 5 in the course text. Please see the course calendar for a more detailed schedule.
The course consists of the following units:
There will be review sessions before each exam:
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