Spring 2005
Mathematics 23b - Spring 2005
Theoretical Linear Algebra
and Multivariable Calculus
Office: Science Center 320
Email: boller@math.harvard.edu
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Mathematics 23b - Spring 2005Theoretical Linear Algebra
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Instructor: John Boller Office: Science Center 320 Email: boller@math.harvard.edu |
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Welcome to Math 23b!Math 23a and 23b are theoretical courses in linear algebra and multivariable Calculus, respectively, the main purpose of which are to introduce the student not only to the content and application of these areas but also to the nature of the mathematical reasoning behind them. These are challenging courses, but you do not need to be a mathematics concentrator in order to take them. If you need advice about whether to take these courses or about other courses such as Math 25a and 25b or Math 21a and 21b, please see an advisor in the Mathematics Department.
Final Exam this Tuesday (tomorrow!), May 24, at 9:15 A.M. in Harvard Hall 104. Get some sleep!
The in-class midterm (part 2) has been graded and is available to be collected
during office hours.
The in-class midterm (part 1) has been graded and is available to be collected
during office hours.
The Final Exam is scheduled for Tuesday, May 24, at 9:15 A.M. in
Harvard Hall 104.
To help you prepare, here are the
2004 Final, the
2003 Final, and the
2002 Final.
Here is the statement of Stokes' Theorem. Here is the formal definition of a manifold. Here is the proof of the Inverse Function Theorem. A cleaned up version of the last proof (a set A in Euclidean space is closed if and only if it contains its limit points) from class on Wednesday (2/9) can be found here. The required textbooks are "Matrices and Linear Algebra," by Hans Schneider and George Phillip Barker (Dover, ISBN # 0-486-66014-1) and "Advanced Calculus of Several Variables," by C.H.Edwards, Jr. (Dover, ISBN # 0-486-68336-2), though we will mostly be using the latter this semester, beginning in Chapter I.7 and moving through Chapter IV. For additional reading on many topics in the course, please see the Math 23b Bibliography. In 2001-02, we used Shilov and Edwards, and in 2002-03, we used Curtis and Fitzpatrick as our primary textbooks. Sections and office hours with our five course assistants can be found here .
The final exam took place on Wednesday, January 19. It has been graded and is available to be picked up during my office hours. Here were the five preview problems. Here are the true/false problems that Daniel covered in his review session with answers. Here are final exams from the past three years: Fall 2001, Fall 2002, and Fall 2003, with True/False solutions for 2002 and 2003. Please note that different topics were covered in different years. This year, for example, we have not yet covered the topology of Euclidean space, which includes the notions of open, closed, and compact sets. Due to popular request, here are three past midterms again and, alas, still only two past solution sets:
The in-class
midterm
has been graded and is available to be picked up during office hours.
The required textbooks are "Matrices and Linear Algebra," by Hans Schneider and George Phillip Barker (Dover, ISBN # 0-486-66014-1) and "Advanced Calculus of Several Variables," by C.H.Edwards, Jr. (Dover, ISBN # 0-486-68336-2). For additional reading on many topics in the course, please see the Math 23a Bibliography. In 2001-02, we used Shilov and Edwards, and in 2002-03, we used Curtis and Fitzpatrick as our primary textbooks.
Please send comments to John
Boller. Reference Math 23 in your subject. Copyright © The President and Fellows of Harvard College |
