Calculus I: Spring 2007

T, Th, 6:10-7:25 PM, 417 Mathematics Building

Instructor: William (Danny) Gillam (408 Mathematics, wgillam@math.columbia.edu)
Call Number: 85280
Office Hours: Tuesday and Thursday, 3pm - 4pm in 408 Mathematics.
Text: J. Stewart, Essential Calculus: Early Transcendentals
This book has not been used before at Columbia.

Course description: We will cover the first seven chapters of the text. We begin with a review of the elementary functions studied in precalculus and discuss their basic properties. Next we cover limits and continuity, the foundations of calculus. Then we discuss derivatives, with applications and computational methods. Finally we cover integration, culminating in the Fundamental Theorem of Calculus and various applications. For more details, see the course schedule at:

http://www.math.columbia.edu/~wgillam/calc1.html

Policies: Students are required to hand in homework every week, take the midterms and the final. Students are also expected to attend every class. For all written work, solve the problems in an organized fashion, with clear explanations. The grader can't read your mind. You may work together on your homework, but if you do, you must indicate who you worked with on the version you turn in. Ask questions if something is not clear, both in class and outside of class. Help is always available from me or the Barnard Help Room (333 Milbank Hall).

Calculators: Calculators are not required for this course, nor do I particularly encourage you to use one. If you have a graphing calculator, you might find it helpful when you are working on your homework. However, you will not be allowed to use a calculator during the exams.

Homework: Homework will be assigned weekly and is due on Tuesday before class starts. Homework should be placed in my mailbox, located outside of room 408. The lowest grade will be dropped. Homework guidelines:

• Use 8.5" x 11" college-ruled notebook paper.
• Write your name in the upper right corner.
• Write the due date and the assignment on the left side of the first line.
• Do the problems in order and circle the problem numbers.
• Draw a rectangle around your answer.
• Write and erase neatly. I recommend pencil.
• Use one column on each page.

http://www.math.columbia.edu/~wgillam/calc1.html

Grading: The grading scheme is as follows:

• Final: 40%
• Midterm 1: 20%
• Midterm 2: 20%
• Homework: 20%

There will be no make-up exams without a note from a doctor or a dean.