MATH 1304-02 Calculus I
Spring 2006
TT 10:00--11:50 a.m.
Sc N 125
Instructor: William R. Nico
Office: WA 775
Phone: (510)885-3386
E-mail: nico@csueastbay.edu (On the mcs system just `` nico''
will work.)
Web:
www.mcs.csueastbay.edu/~nico
Office hours: TT 9:00--9:30 a.m., 12:45--1:30 p.m., or by appointment.
Text: J. Stewart, Calculus, early transcendentals, 5th edition,
Thompson--Brooks/Cole, 2003
This is a ``standard'' first course in calculus---Differential Calculus---which will cover most of chapters 1--4 of Stewart. A number of review topics are covered in Appendixes A--E, some of which might be discussed in class, but most of which will be left to students' own reading.
The highlights of the course are the use of limits to study ``local'' properties of functions, the notion of continuity of functions, the definition of the derivative of a function, the properties of derivatives and techniques for their computation, and the application of these properties to solve several classes of problems. Problems involving rates of change (including motion, velocity, and acceleration) and problems involving finding maxima and minima are the ``classic'' problems solvable using the techniques of differential calculus. Of course, in order for one to be able to apply these techniques effectively, one should already be proficient in manipulating algebraic and trigonometric expressions.
The appropriate balance between theory and applications is a recurring issue in the first calculus course. This balance will be discussed in class, but some mastery of both aspects are required for success.
The pacing of the course is planned to be roughly as follows:
| Week 1 : | Chapt. 1 & Append. A--D |
| Week 2 : | Chapt. 1 & 2.1--2.4 |
| Week 3 : | 2.4--2.9 & 3.1, 3.2 |
| "Reality check" pace update | |
| Week 3 : | 2.1--2.4 & part 2.5 |
| Week 4 : | 2.5--2.9 & Midterm through 2.4-2.5 material |
| Midterm will cover material through April 13 | |
| Week 5 : | 3.1--3.6 |
| Week 6 : | 3.7--3.10 |
| Week 7 : | 3.10--4.2 |
| Week 8 : | 4.2--4.4 & midterm on Week 4--7 material |
| Week 9 : | 4.4--4.9 |
| Week 10 : | 4.9--4.10 & general review. |
This may be ambitious. The coverage may slow down or speed up as needed, or some sections may be moved around, e.g., blending material from chapters 3 & 4. If there is significant deviation, the web version of this handout will be updated in mid-course.
General assignment: You---on your own initiative---should do a significant number of the odd numbered excercises. Solutions for these are in the text, which should enable you to check your efforts. You are free---even encouraged---to assist each other with these in groups when they prove difficult.
However, you will be given regular---usually daily---small assignments chosen from the even numbered exercises to write up and to turn in. These are to be your own work and no one else's! [Daily homework would result in 19 assignments being turned in. The lowest 4 scores will be disregarded in computing the ``homework'' part of your grade. This should ameliorate the ``no late homework'' policy (below).] The course web site