Summer 2009
Harvard Summer
School
Mathematics S-21b – Summer 2009
Linear Algebra and
Differential Equations
Instructor:
Robert Winters (Sci Ctr 509)
Course Assistant:
Aleksandar Subotic
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Harvard Summer
School |
Instructor: Course Assistant: |
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Solutions to
homework assignments (and exams) Student
Solutions Manual Course Textbook
It's possible to get by with the previous (2nd) edition or the new 4th edition. All assigned homework problems will be posted as printable PDF files. Conversion of the problems in the 3rd Edition to their equivalents in the 2nd Edition. [Some problems in the 3rd Edition have no equivalents in the previous edition of the text.]
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Announcements: HW #3 (due Mon, July 6) is now posted in the Calendar. The Independence Day holiday for Harvard will take place on Friday, July 3. We won't meet that day, but we will meet on July 6. Exam #1 will take place on Wednesday, July 8 at 2:00pm in our regular classroom. The exam should take about 75-90 minutes and will cover topics from Chapters 1 to 3 of the text. Practice
Exam #1 Practice Exam #1 solutions will
be posted soon. Homework should generally be submitted on its due date either in class or in our mailbox on the 3rd floor of the Science Center diagonally across from the elevators. Look for the red labels. (Graded homework will also be available there for pickup.) Any requests for additional time or alternate ways to submit the homework should be directed to CA Aleksandar Subotic.
We are also setting up an e-mail distribution list for the class which can be used for course-related matters such as setting up study groups. Details to follow - apologies in advance for any annoyances during the setup. Anyone can opt out of the list, if desired. Class meets every Monday, Wednesday, and Friday from 9:30am to 11:30am (except Fri, July 3) in Science Center 507. Exams will be scheduled at a time outside of regular class. The midterm exam dates will be July 8 and July 22. CA Aleksandar Subotic will have a weekly review class/problem session, currently scheduled for Thursdays at 4:00pm in Science Center 507 (this may change). Due to the upcoming exam, Alex's problem session may be rescheduled to Tuesday, July 7. Details to follow. There are currently 43 students registered in the course. Topics to be covered include Gauss-Jordan reduction and systems of linear equations; matrices and linear transformations; linear independence; subspaces; matrices and coordinates relative to different bases; general linear spaces; orthogonality and least-squares approximation; inner product spaces; determinants; eigenvalues, eigenvectors, and the spectral theorem; discrete and continuous dynamical systems; phase-plane analysis of linear and nonlinear systems of ordinary differential equations; and function spaces and differential operators. Text: Linear Algebra With Applications, 3rd Edition, by Otto Bretscher, Prentice-Hall, 2005; ISBN 0-13-145334-3. A student solutions manual is also available with the text. We will cover selected topics from this book, and homework will be assigned from its large collection of exercises. If you can pick up the 2nd Edition of the text (or the new 4th Edition), they will work fine. The content is essentially the same and all homework assignments will be available as printable PDFs. Math S21b syllabus (HTML) Printable syllabus (PDF)
Useful Links:
Download your free Adobe Acrobat Reader for reading and printing PDF formatted documents. Please send comments to Robert
Winters. |
