**MAT 150
Dr. J Marshall Ash**

**Calculus I
Spring 2000**

**Text: Calculus, **by
J. Stewart, Fourth Edition, Brooks/Cole, 1999.

**Prerequisite: **A passing
grade in MAT 131 or placement by the Mathematics Department Placement Test.
Prerequisites are strictly enforced by the Math Department. A prerequisite
can only be waived by the approval of the instructor and the department
chair.

**Course Contents:** Tangent
and velocity problems, limit of a function, calculating limits using limit
laws, continuity, derivatives, differentiation formulas, derivatives of
trigonometric functions, the chain rule, implicit differentiation, higher
derivatives, differentials and linear approximations, Newton's method,
maximum and minimum values, the mean value theorem, monotonic functions
and the first derivative test, concavity and points of inflection, limits
at infinity: horizontal asymptotes, curve sketching, and applied maximum
and minimum problems.

The above comprises sections 2.1-2.3, 2.5, 3.1, 3.3, 3.5-3.8, 3.10,
4.9, 4.1-4.5, and 4.7 of the text.

**Methods: **Classroom lectures
and discussion.

**Evaluation:**

Midterm and final exams, in class and
closed book will count equally in determining a preliminary grade. Home-work
will be assigned each class day, discussed the next class day, collected
the next class day and will increase or decrease the preliminary grade
by at most one grade. For example, B+ and satisfactory homework = A-. Make-up
exams will not be given. The final exam will be from 8:45-11:00 on Tuesday
June 6.

**Office Hours: Room 559 Byrne
Hall**

1:25 PM to 2:55 PM on Tuesdays and Thursdays. Also by appointment or telephone: (773)325-4216.

**Internet Resources: **Find homework
assignments, midterm exam schedule, this syllabus, and the tutor schedule
on my web page,** ** http://www.depaul.edu/~mash
.