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Math 51
Fall 2009
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Contents

Course Description,  Prerequisites and Other Courses

Linear Algebra and Multivariable Calculus are two of the most widely used mathematical tools across all scientific disciplines. This course seeks to develop background in both and highlight the ways in which multivariable calculus can be naturally understood in terms of linear algebra.

This course assumes a strong understanding of differential calculus of one variable, as taught in the Math 41-42 series (or equivalent). For the linear algebra portion, we will start from the beginning and build up all concepts in lectures. However, this course is packed with information and moves very quickly. Students who are somewhat unsure of their mathematics background may want to consider courses in the 40 series. In particular, students missing the equivalent of Math 42 may find the portions of Math 51 that demand deeper conceptual understanding to be more difficult than those who have the experience of a full year of college-level calculus. (Students having quite a lot of experience with mathematical proof and who are looking for a more theoretical course may want to try Math 51H.)

For a detailed syllabus see the Syllabus page.

As an exception to the final study list deadline, it will be possible to switch from Math 51H to Math 51 until after the first midterms in these classes. However, it will not be possible to switch from Math 51 to Math 41 or Math 42 after the final study list deadline on October 9.

Texts

  • Linear Algebra, by Levandosky - Errata
  • Vector Calculus by Susan Colley
The latter will not be used until the second half of the course. Both should be available at the campus bookstore. If you have problems finding either textbook at the campus bookstore, please contact your instructor.

Exams

There will be two midterm exams and a final exam. Please check the exam policy.

Homework

There will be weekly homework assignments. Homework should be turned in to your TA. In case you are enrolled in one section and attend another, turn in your homework to the TA of the section you are enrolled in. Homework is due by 3:30pm on Wednesdays. Late homework will not be accepted.

Please respect the honor code, write legibly, never forget to put your name, your section number and your TA's name on the top of your work. Although you are encouraged to discuss homework problems with your classmates, you have to turn in your own work based on your own understanding.

Homework papers should be written up independently. Please see homework policy for more information.

Grades

Grades will be based on the following percentages.

Office Hours

You are encouraged to attend the office hours provided by the instructors and teaching assistants. You may attend the office hours of any instructor or teaching assistant.

Additional Help

Useful Links

Fall 2009 -- Department of Mathematics, Stanford University
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