## Math 20, Introduction to Linear Algebra and Multivariable Calculus

### Spring 2000

### Course Outline:

The material which will be covered falls into three
interconnected parts. **Linear Algebra:** Systems of linear
equations, row reduction, vector spaces, matrices, linear
transformations, determinants, eigenvalues and eigenvectors.
**Multivariable Calculus**: Functions of several variables, partial
derivatives, chain rule, optimization problems (both constrained and
unconstrained). **Applications:** Possible topics include:
Cobb-Douglas production function, Leontief economic models, Markov
chains, population models, linear programming, least squares curve
fitting.
Although many of the examples in the course will be drawn from
economics and other social sciences, knowledge of these subjects
will not be assumed.

### Textbook

*Elementary Linear Algebra, Applications version*, Anton and
Rorres, 7th or 8th edition (If you use the 7th edition, you may
occasionally have to look up a problem that is in the 8th but the not
the 7th ed. Otherwise the texts are the same, except that the 8th
ed. is much uglier). The multivariable calculus part of the course
will be taught out of a course packet that will be sold in the Science
Center basement. This packet will be available later, when it is
needed (about the 5th week of class).

### Prerequisites

Math 1b or equivalent, or an A or A- in Math 1a, or a 5 on the AB or a
3 on the BC Advanced Placement exam in Mathematics.

### Problem Sessions:

There will be weekly problems sessions run by the Course Assistants.
Attending a problem session
each week is strongly encouraged. Not only are these sessions a great
place to get help, but due to the large amount of material to be
covered in the course, it's not possible to do as many examples in
class as I would like. Times and places will be announced.

### Exams:

### Homework:

There will *usually* be two homework sets per week. The first
set will be given out on Monday and due Friday of the same week. The
second will be given out on Friday and collected the following
Wednesday. Assignments will be graded and returned promptly. Solutions
will be put on reserve in Cabot Library after the assignment is due.
Homework assignments must be turned in on time -- no late homework
will be accepted. However, your two lowest homework grades will be
dropped. Homework assignments (but not solutions) are also posted on
the course web page.
You are allowed, nay encouraged, to work together on homework
problems. However, you must write up your solutions individually.

### Grading policy:

Homework will be worth 20% of the final grade, each midterm 20% and
the final 40%.

### Office Hours:

My office hours will be:
- Monday: 2:30 - 3:30
- Tuesday: 3:00 - 4:00
- Friday: 2:30 - 3:30

and by appointment. For an appointment, just talk to me before/after
class or send me e-mail.
The course assistants will also have office hours at times and places
to be arranged.

There's also the **Question
Center** which is open from Sunday-Thursday from 8-10 pm in
Loker Commons, and which is stocked with CA's and grad students to
answer your questions.

Up to Math 20 page.