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Math 51
Winter 2010
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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.

For a detailed syllabus see the Syllabus page.

Enrollment in lectures and sections

Math 51 students attend lectures on MWF and discussion sections on TTh. After you have enrolled in a MWF lecture on axess, you need to enroll in a TTh section as explained here.

Texts

  • Linear Algebra, by Levandosky - Errata
  • Differential Vector Calculus by Licata
The linear algebra text should be available at the campus bookstore. If you have problems finding it, please contact your instructor. The Licata will be available later, but will not be used until the second half of the course. The book Vector Calculus by Colley (which was used in the fall quarter) is NOT required (though some students may find it helpful as a supplement to Licata's book.)

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. Homework is due by 5:00pm on Thursdays. Late homework will not be accepted.

Please respect the honor code, write legibly, and 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

Winter 2010 -- Department of Mathematics, Stanford University
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