150B Calculus on Manifolds
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Please re-check this page before doing each homework assignment as they may change!

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Please observe the following neatness guidelines for homework that you turn in to be graded; homework not conforming to these guidelines will not receive full credit and may not be graded at all.

  1. Use clean, white paper (preferably ruled) that is not torn from a spiral notebook.

  2. Write your name clearly on the front page of your completed assignment.

  3. Write clearly and legibly.

  4. Clearly number each solution and present them in numerical order.

bulletProblems are from Victor Guillemin and Peter Haine, "Differential Forms,"  first edition unless otherwise indicated.

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Homework #0: (Try to do what you can before Section on Wednesday, January 8. These will not be collected!)

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From the Lecture Notes/150BNotes_for_Chapter1.pdf: Exercises 3.1*-3.5*.  (*You should look at this exercise but do not hand it in.)

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Homework #1: (Due Thursday, January 16 in the drop box by 9:00PM.)

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Please see the following pdf-file, HomeWorks/150bh0-1.pdf, for modified homework assignment.

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Homework #2: (Due Thursday, January 23 in the drop box by 9:00PM.)

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Please see the following pdf-file, HomeWorks/150bh0-2.pdf, for the homework #2 problems. The lecture note problems appear in context in the lecture notes as well.

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Homework #3: (Due Thursday, January 30 in the drop box by 9:00PM.)

bulletPlease see the following pdf-file, HomeWorks/150bh0-3.pdf. The lecture note problems appear in context in the lecture notes as well.

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Homework #4: (Due  at the start of class on Thursday, February 6.)

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Homework 4 / Midterm Problems are now available at: HomeWorks/150bh0-4.pdf.  These problems appear in context in the lecture notes as well.
Please work on this assignment by yourself and hand them in at the start of class on Thursday, February 6.

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Homework #5:  (Due Thursday, February 13 in the drop box by 9:00PM.)

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Please see the following pdf-file, HomeWorks/150bh0-5.pdf. The lecture note problems appear in context in the lecture notes as well.

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Homework #6:  (Due Thursday, February 20 in the drop box by 9:00PM.)

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Please see the following pdf-file, HomeWorks/150bh0-6.pdf. The lecture note problems appear in context in the lecture notes as well.

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Homework #7:  (Due Thursday, February 27 in the drop box by 9:00PM.)
 (Now due Friday, February 28 in the drop box by 7:00PM.)

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Please see the following pdf-file, HomeWorks/150bh0-7.pdf. The lecture note problems appear in context in the lecture notes as well.

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Homework #8:   (Now due Friday, March 6 in the drop box by 7:00PM.)

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Please see the following pdf-file,  HomeWorks/150bh0-8.pdf. The lecture note problems appear in context in the lecture notes as well.

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Homework 9 = Take Home Final Exam: Due Tuesday March 17. Turn in between 9:00AM - 11:00 AM in My Office

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Final Exam Take Home Problems are in Chapter 15 of the Lecture Notes/150BNotes_ver9.pdf.

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Please do all problems by yourself in chapter 15. Questions may be asked in class and in Vaki's section as well

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Problem 15.9 is to be done as well.