Time and Place (Lectures): 10:00-10:50 MWF, CB 208.
Instructor: Uwe Nagel, POT 763, 257-6793, uwenagel@ms.uky.edu and www.ms.uky.edu/~uwenagel.
Office Hours: 1:00-1:50 pm MWF in POT 763, or by appointment.
You can also consult me by email.
Time and Place (Recitations): There are three sections
(sec. 004) 8:00 - 9:15 am TR,
CB 341;
(sec. 005) 2:00 - 3:15 pm TR,
CB 343;
(sec. 006) 3:30 - 4:45 pm TR, CB 341.
Teaching Assistants:
(sec. 004/005)
David Cook,
dcook@ms.uky.edu;
(sec. 006)
Jun Geng,
jgeng@ms.uky.edu.
Exams: There will be three uniform midterms and one final exam.
Textbook: Calculus (5th edition) by James Stewart,
ISBN 0-534-39339-X.
In Calculus I, we will learn about
derivatives, integrals and the fundamental theorems of calculus. We
begin by introducing the notion of a limit. Limits are essential to
defining derivatives and integrals. By the end of the semester
students should know precise definitions of the derivative and the
integral and the fundamental theorem of calculus which gives the
relation between the derivative and the integral. We will illustrate
the methods and ideas of calculus by studying several physical and
geometric problems. We will study the interpretation of the derivative
as velocity or slope of a tangent line, the trajectory of a body
falling under the influence of gravity, the interpretation of the
integral as area or distance traveled and the use of the integral in
computing volumes of familiar solids such as a sphere or a cone.
We will cover most of Chapters 1 to 6 of Stewart. Please see the
course calendar for a detailed listing of sections.
Exposure to the precision
needed in Calculus will foster critical thinking and rational
reasoning. In order to help you learn to articulate mathematical
ideas, there will be six written assignments. Your solutions to these
assignments are expected to be carefully drafted documents
that are written up in complete sentences. You should lay out and
explain all the arguments you used to arrive at the solution.
Worksheets:
There is a total of 500 points in the course with 100 points earned on each of the 4 exams and 100 points for homework and attendance. Your grade will be based on the number of points you earned according to the following scheme:
| Total earned course points (out of 500) | 450-500 | 400-449 | 350-399 | 300-349 | 0-299 | |
| Final course grade | A | B | C | D | E |
Common syllabus (pdf-file)
Common web page:
http://www.ms.uky.edu/~uwenagel/CALC-I-s08/113-home.html