150B Calculus on Manifolds

Lecture Notes
Course Goals
Topics Covered
Test Information

Math 150B -- Calculus on Manifolds  (Winter 2020) Course Information


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Lecture Notes/150BNotes_ver9.pdf  as of March 5,  2020


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


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


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


Problem 15.9 is to be done as well.




Lecture Notes/150BNotes_ver8.pdf  as of February 28,  2020


Homework 8 is now available: HomeWorks/150bh0-8.pdf. This is due Friday March 6 at 7:00PM.




 Here is a bit of review of Linear Algebra. Linear Algebra Review.pdf

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Instructor: Bruce Driver,  Office:  AP&M 5260,  Phone:  534-2648.  Email: bdriver at ucsd dot edu

Office Hours: Tuesday 11-12 and Thursday 2-3 

TA: Evangelos (Vaki) Nikitopoulos, Office AP&M 5412.  Email:   enikitop at ucsd dot edu

Office Hours: Wednesdays 5-6:50pm in AP&M 5412

Textbook: Victor Guillemin and Peter Haine, "Differential Forms,"  first edition [See a draft version of this book here.]

Lectures: TuTh 9:30a-10:50a in APM 2402.

Discussion:  W 7:00p-7:50p in APM 5402

Midterm: Thursday February 6, at 9:30am in Class.
Final Exam:
Tuesday March 17 at 8:00am -11:00am in TBA. 

Homework: Homeworks will be given weekly and are due in the homework drop box by 9:00PM on the Thursday due date. Click here to see the assignments. The drop box is located in the basement of APM.

Drop Box Basement Location: If you view Box 1 as a 6x2 matrix, then 150B is the 3,2 entry of this matrix.


Course grades for both courses will be posted on TED (https://ted.ucsd.edu/).

Prerequisites: Math 150A  or consent of instructor.

Course Goals: We will cover most of chapter 1-4. of the text.  For a more detailed list of chapter sections, see the homework page. For a short outline of the goals of each of these chapters, see Course Goals.

Catalog Description:  Calculus of functions of several variables, inverse function theorem. Further topics may include exterior differential forms, Stokesí theorem, manifolds, Sardís theorem, elements of differential topology, singularities of maps, catastrophes, further topics in differential geometry, topics in geometry of physics. Prerequisites: MATH 150A or consent of instructor.  

Lecture:  Attending the lecture is a fundamental part of the course; you are responsible for material presented in the lecture whether or not it is discussed in the textbook.  You should expect questions on the exams that will test your understanding of concepts discussed in the lecture.

Reading:  Reading the sections of the textbook corresponding to the assigned homework exercises is considered part of the homework assignment; you are responsible for material in the assigned reading whether or not it is discussed in the lecture.  You should expect questions on the exams that will test your understanding of concepts addressed in the reading and assigned homework exercises.

Homework:  See the homework page for guidelines, assignments and due dates. Your homework grade will be based on your best eight (8) of nine (9) graded homework assignments. You should make every effort to complete each assigned homework problem. You may seek help during office hours and/or section with any exercises you have difficulty solving. Students are also encouraged to discuss homework with fellow classmates. However, each student is expected to write up his/her own solutions independently.

Late Homework:  Late homework is not accepted.

Electronic Computing Devices:  Graphing calculators and computer programs (or online computing websites such as Wolfram|Alpha) can be very helpful when working through your homework.  However, a calculator/computer should be used as an aid in the learning concepts, not just as a means of computation.  You should use these devices when working on math problems at home, but always keep in mind that you will not be allowed access to any electronic computing devices during exams.  Of course, this also means that you will not be asked to solve problems on exams that require the aid of an electronic computing device.

bullet The use of electronic devices will not be permitted during exams.
bullet You must bring photo ID with you to all exams.
bullet You will not be allowed to use a calculator on the exams.

You must take the midterm at the scheduled date and time. You cannot take any exam early or late.

The Final Exam is cumulative. You cannot take the final exam early or late. It is your responsibility to ensure that you do not have a schedule conflict involving the final exam. You should not enroll in this class if you cannot sit for the final exam at its scheduled time.

Regrades:  The midterm exam and graded homework assignments will be returned in the discussion sections.  If you find a grading or point totaling error on an exam or a homework assignment, you must return it immediately to your TA.  Regrade requests will not be considered once the exam or assignment leaves the room.  If you do not retrieve your graded exam or assignment during discussion section, you must arrange to pick it up from your TA within one week after it was returned in order for any regrade request to be considered.

Grade Recording Errors:  Keep all of your returned homework and exams and check TED to make sure that the grades on your papers are the same as the grades recorded on TED.  If there is any mistake in the recording of your scores, you must bring us the original assignment/lab/exam in order for us to make a change.

Grades: Your cumulative average will be the best of the following two weighted averages:

bulletAttendance (10%)+homework (30%)+midterm (25%)+ final (35%)
bulletAttendance (10%)+homework (30%)+ final (60%)

After your weighted average is calculated, letter grades will be assigned based on the standard grading scale:



















We may adjust the above scale to be more lenient (depending on the overall class performance), but we guarantee that we will not adjust the scale to make it harder to get a better grade.  Please note:

bullet You must pass the final examination in order to pass the course.
bullet Since there are no makeup exams, if you miss a midterm exam, then your course grade will be computed with the final exam counting 60% of your weighted average.
Academic Dishonesty:  Academic dishonesty is considered a serious offense at UCSD.  Students caught cheating will face an administrative sanction which may include suspension or expulsion from the university.  It is in your best interest to maintain your academic integrity. (Click here for more information.)


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Last modified on Saturday, 25 January 2020 04:43 PM .