# Spring 2008

Math 1A - Section 1 - CalculusInstructor: Jon WilkeningLectures: MWF 12:00-1:00pm, Room 2050 Valley Life ScienceCourse Control Number: 54103Office: 1091 EvansOffice Hours: TBAPrerequisites: Required Text: Recommended Reading: Syllabus: Course Webpage: Grading: Homework: Comments: Math 1B - Section 1 - Calculus Instructor: Vaughan JonesLectures: TuTh 2:00-3:30pm, Room 100 LewisCourse Control Number: 54142Office: 929 EvansOffice Hours: TBA Prerequisites:Required Text:Recommended Reading:Syllabus:Course Webpage:Grading:Homework:Comments:Math 1B - Section 2 - Calculus Instructor: Vera SerganovaLectures: MWF 9:00-10:00am, Room 155 DwinelleCourse Control Number: 54190Office: 709 EvansOffice Hours: TBAPrerequisites:Required Text:Recommended Reading:Syllabus:Course Webpage:Grading:Homework:Comments:Math 1B - Section 3 - Calculus Instructor: Marina RatnerLectures: MWF 2:00-3:00pm, Room 2050 Valley Life ScienceCourse Control Number: 54238Office: 827 EvansOffice Hours: TBAPrerequisites: Required Text: Recommended Reading:Syllabus: Course Webpage: Grading: Homework: Comments:Math 16A - Section 1 - Analytical Geometry and CalculusInstructor: Hugh WoodinLectures: TuTh 12:30-2:00pm, Room 2050 Valley Life ScienceCourse Control Number: 54280Office: 721 EvansOffice Hours: TBAPrerequisites: Required Text: Recommended Reading:Syllabus: Course Webpage: Grading: Homework: Comments:Math 16B - Section 1 - Analytical Geometry and CalculusInstructor: Leo HarringtonLectures: TuTh 2:00-3:30pm, Room 155 DwinelleCourse Control Number: 54325Office: 711 EvansOffice Hours: TBAPrerequisites: Required Text: Recommended Reading:Syllabus: Course Webpage: Grading: Homework: Comments: Math 16B - Section 2 - Analytical Geometry and CalculusInstructor: Thomas ScanlonLectures: MWF 10:00-11:00am, Room 10 EvansCourse Control Number: 54364Office: 723 EvansOffice Hours: TBAPrerequisites: Required Text: Recommended Reading:Syllabus: Course Webpage: Grading: Homework: Comments: Math 24 - Section 1 - Freshman SeminarsInstructor: Alberto GrünbaumLectures: Tu 11:00am-12:30pm, Room 939 EvansCourse Control Number: 54397Office: 903 EvansOffice Hours: TBAPrerequisites: Required Text: Recommended Reading:Syllabus: Course Webpage: Grading: Homework: Comments: Math 24 - Section 2 - Freshman SeminarsInstructor: Jenny HarrisonLectures: F 3:00-4:00pm, Room 891 EvansCourse Control Number: 54400Office: 851 EvansOffice Hours: TBAPrerequisites: Required Text: Recommended Reading:Syllabus: Course Webpage: Grading: Homework: Comments: Math 24 - Section 3 - Freshman SeminarsInstructor: Rob KirbyLectures: Tu 8:30-10:00am, Room 939 EvansCourse Control Number: 54403Office: 919 EvansOffice Hours: TBAPrerequisites: Required Text: Recommended Reading:Syllabus: Course Webpage: Grading: Homework: Comments: Math 24 - Section 4 - The Geometry of RelativityInstructor: Alan WeinsteinLectures: Tu 2:00-3:30pm, Room 939 EvansCourse Control Number: 54405Office: 825 EvansOffice Hours: TBAPrerequisites: Math 1A or equivalentRequired Text: Sander Bais, Very Special Relativity, Harvard U. PressRecommended Reading:Syllabus: This seminar will meet the first week of classes and nine more dates to be arranged. We will look at some of the mathematical ideas, particularly the geometric ideas, behind Einstein's special and general theories of relativity. Topics will include the linear algebra and geometry of Lorentz transformations in flat space time (for special relativity) and an introduction to riemannian geometry (for general relativity). The seminar activities will be a mix of reading, discussion, and presentations by students and the instructor. Students should have had Math 1A or the equivalent. Further background in calculus and/or linear algebra is helpful but not essential. The math that will be taught in the seminar will give students a head start (or a review) for more advanced courses. Course Webpage: Grading: Homework: Comments: Math 24 - Section 5 - Freshman SeminarsInstructor: Hugh WoodinLectures: W 1:00-2:00pm, Room 939 EvansCourse Control Number: 55660Office: 721 EvansOffice Hours: TBAPrerequisites: Required Text: Recommended Reading:Syllabus: Course Webpage: Grading: Homework: Comments: Math 32 - Section 1 - PrecalculusInstructor: The StaffLectures: MWF 8:00-9:00am, Room 160 KroeberCourse Control Number: 54406Office: Office Hours: TBAPrerequisites: Required Text: Recommended Reading:Syllabus: Course Webpage: Grading: Homework: Comments: Math 39A - Section 1 - Seminar for Teaching Math in SchoolsInstructor: Emiliano GomezLectures: M 4:00-6:00pm, Room 35 EvansCourse Control Number: 54426Office: 985 EvansOffice Hours: TBAPrerequisites: Required Text: Recommended Reading:Syllabus: The purpose of this seminar is to introduce the
participants to life in a K-12 mathematics classroom. Several specific
mathematical topics that are known to be troublesome in the K-12
curriculum will be discussed. Students will contrast what they learn
about these topics in mathematics courses in college with how they will
teach them to their students. The course includes a field placement in a
local school.Course Webpage: Grading: Homework: Comments: Math 53 - Section 1 - Multivariable CalculusInstructor: John NeuLectures: MWF 1:00-2:00pm, Room 2050 Valley Life ScienceCourse Control Number: 54448Office: 1051 EvansOffice Hours: TBAPrerequisites:Required Text:Recommended Reading:Syllabus:Course Webpage:Grading:Homework:Comments:Math 53 - Section 2 - Multivariable CalculusInstructor: John SteelLectures: TuTh 3:30-5:00pm, Room 100 LewisCourse Control Number: 54487Office: 717 EvansOffice Hours: TBAPrerequisites:Required Text:Recommended Reading:Syllabus:Course Webpage:Grading:Homework:Comments:Math H53 - Section 1 - Honors Multivariable CalculusInstructor: Calder DaenzerLectures: TuTh 3:30-5:00pm, Room B51 HildebrandCourse Control Number: 54526Office: 1083 EvansOffice Hours: TBAPrerequisites:Required Text:Recommended Reading:Syllabus:Course Webpage:Grading:Homework:Comments:Math 54 - Section 1 - Linear Algebra and Differential EquationsInstructor: Daniel TataruLectures: TuTh 11:00am-12:30pm, Room 2050 Valley Life ScienceCourse Control Number: 54532Office: 841 EvansOffice Hours: TBAPrerequisites: Math 1BRequired Text: David Lay, Linear Algebra and It's Applications, 3rd editionNagle, Saff and Snider, Fundamentals of Differential Equations and Boundary Value ProblemsFor both you can get the paperback Berkeley editions. Recommended Reading:Syllabus: Basic linear algebra; matrix arithmetic and
determinants. Vector spaces; inner product as spaces. Eigenvalues and
eigenvectors; linear transformations. Homogeneous ordinary differential
equations; first-order differential equations with constant
coefficients. Fourier series and partial differential equations.Course Webpage: http://math.berkeley.edu/~tataru/54.html (to be created)Grading: Homework 20%, midterms 20% each, and final exam 40%.Homework: Homework will be assigned weekly.Comments:Math 54 - Section 2 - Linear Algebra and Differential EquationsInstructor: Alexandre ChorinLectures: MWF 3:10-4:00pm, Room 155 DwinelleCourse Control Number: 54565Office: 911 EvansOffice Hours: TBAPrerequisites: Required Text: Recommended Reading:Syllabus: Course Webpage: Grading: Homework: Comments: Math 55 - Section 1 - Discrete MathematicsInstructor: John StrainLectures: TuTh 9:30-11:00am, Room 60 EvansCourse Control Number: 54610Office: 1099 EvansOffice Hours: TBAPrerequisites:Required Text:Recommended Reading:Syllabus:Course Webpage:Grading:Homework:Comments:Math 74 - Section 1 - Transition to Upper Division MathematicsInstructor: Adam BoothLectures: MWF 3:00-4:00pm, Room 85 EvansCourse Control Number: 54628Office: 845 EvansOffice Hours: Prerequisites:Required Text:Recommended Reading:Syllabus:Course Webpage:Grading:Homework:Comments:Math 74 - Section 2 - Transition to Upper Division MathematicsInstructor: Anthony VarillyLectures: MWF 8:00-9:00am, Room 85 EvansCourse Control Number: 54631Office: 941 EvansOffice Hours: Prerequisites:Required Text:Recommended Reading:Syllabus:Course Webpage:Grading:Homework:Comments:Math 98 - Section 5 - MATLAB Adjunct to Math 128AInstructor: Maxim TrokhimtchoukLectures: Days & Times TBA, Room B0003A EvansCourse Control Number: Office: 1097 EvansOffice Hours: TBAPrerequisites:Required Text:Recommended Reading:Syllabus: This course is intended as an introduction to
programming and programming concepts using MATLAB. It not only focuses
on the use of MATLAB itself, but also introduces students to the
fundamentals of programming, with emphasis on techniques and style. We
will learn how to use MATLAB to implement and debug a complex program
and how to use facilities such as MATLAB Help and other resources. We
will also learn how to use MATLAB to produce plots and graphics, which
are essential for presenting numerical computations. This course is
recommended even for those who had prior programming experience,
however, prior knowledge of programming if not necessary.Course Webpage:Grading:Homework:Comments:Math 98 - Section 6 - MATLAB Adjunct to Math 128AInstructor: Maxim TrokhimtchoukLectures: Days & Times TBA, Room B0003A EvansCourse Control Number: Office: 1097 EvansOffice Hours: TBAPrerequisites:Required Text:Recommended Reading:Syllabus: This course is intended as an introduction to
programming and programming concepts using MATLAB. It not only focuses
on the use of MATLAB itself, but also introduces students to the
fundamentals of programming, with emphasis on techniques and style. We
will learn how to use MATLAB to implement and debug a complex program
and how to use facilities such as MATLAB Help and other resources. We
will also learn how to use MATLAB to produce plots and graphics, which
are essential for presenting numerical computations. This course is
recommended even for those who had prior programming experience,
however, prior knowledge of programming if not necessary.Course Webpage:Grading:Homework:Comments:Math C103 - Section 1 - Introduction to Mathematical EconomicsInstructor: David SraerLectures: MWF 1:00-2:00pm, Room 241 CoryCourse Control Number: 54682Office: Office Hours: Prerequisites:Required Text:Recommended Reading:Syllabus:Course Webpage:Grading:Homework:Comments:Math 104 - Section 1 - Introduction to AnalysisInstructor: David HillLectures: MWF 9:00-10:00am, Room 71 EvansCourse Control Number: 54685Office: 757 EvansOffice Hours: TBAPrerequisites: Required Text: Recommended Reading: Syllabus: Course Webpage: Grading: Homework: Comments: Math 104 - Section 2 - Introduction to AnalysisInstructor: Jan ReimannLectures: TuTh 3:30-5:00pm, Room 2 EvansCourse Control Number: 54688Office: 705 EvansOffice Hours: TBAPrerequisites: Math 53 and 54Required Text: C. Pugh, Real Mathematical Analysis, Springer, 2002.Recommended Reading:Syllabus: Roughly Chapters 1 to 4: The real number system,
cardinalities, metric spaces, convergence, compactness and
connectedness, continuous functions on metric spaces, uniform
convergence, power series, differentiation and integration. (We will
leave out some rather advanced material in Chapters 2 and 4.)Course Webpage: Will be set up on bSpace.Grading: 20% homework, 20% each midterm, 40% finalHomework: Homework will be assigned once a week, due the following week.Comments: Math 104 - Section 3 - Introduction to AnalysisInstructor: Elizabeth GasparimLectures: MWF 3:00-4:00pm, Room 75 EvansCourse Control Number: 54691Office: Office Hours: TBAPrerequisites: Required Text: Recommended Reading:Syllabus: Course Webpage: Grading: Homework: Comments: Math 104 - Section 4 - Introduction to AnalysisInstructor: Dagan KarpLectures: TuTh 11:00am-12:30pm, Room 141 GianniniCourse Control Number: 54694Office: 1053 EvansOffice Hours: TBAPrerequisites: 53 and 54Required Text: Ross, Elementary Analysis: The Theory of CalculusRecommended Reading: Rudin, PughSyllabus: We will cover everything in Ross. This includes: The
real number system. Sequences, limits, and continuous functions in R and
'R^{n}'. The concept of a metric space. Uniform convergence,
interchange of limit operations. Infinite series. Mean value theorem and
applications. The Riemann integral.Course Webpage: http://math.berkeley.edu/~dkarp/courses/2008Spring/104/Grading: 50% homework, 20% midterm, 30% finalHomework: Homework will be assigned and due once a week.Comments: Math 105 - Section 1 - Second Course in AnalysisInstructor: Marina RatnerLectures: MWF 10:00-11:00am, Room 85 EvansCourse Control Number: 54697Office: 827 EvansOffice Hours: TBAPrerequisites: Required Text: Rudin, Principles of Math AnalysisRoyden, Real AnalysisRecommended Reading:Syllabus: The course consists of two different topics.The first topic (approximately first five weeks) uses Rudin's "Principles of Math Analysis", Chapter 9.Differential calculus in R ^{n}: The derivative as a linear map. The Contraction principle. The Inverse and the Implicit Function Theorems. Integral Equations.The second topic (remaining 10 weeks) uses Royden "Real Analysis" Chapters 11 and 12 (1,2)Abstract measure theory. The Lebesgue measure on the line and in R ^{n}. The Cantor Set. Measurable Functions. The Lebesgue Integral. Types of Convergence in Measure Spaces. The L^{p} spaces. Product measures and the Fubini Theorem. Signed measures. Absolute continuity. Integration and Differentiation.Course Webpage: Grading: The grade of the course will be based 15% on weekly homework, 25% on a Midterm, 20% on Quizzes and 40% on a Final.Homework: Comments: Math 110 - Section 1 - Linear AlgebraInstructor: Aaron GreiciusLectures: MWF 12:00-1:00pm, Room 3 EvansCourse Control Number: 54700Office: 796 EvansOffice Hours: TBAPrerequisites: Required Text: Recommended Reading:Syllabus: Course Webpage: Grading: Homework: Comments: Math 110 - Section 2 - Linear AlgebraInstructor: Marco AldiLectures: TuTh 9:30-11:00am, Room 87 EvansCourse Control Number: 54703Office: 805 EvansOffice Hours: TBAPrerequisites: Required Text: Recommended Reading:Syllabus: Course Webpage: Grading: Homework: Comments: Math 110 - Section 3 - Linear AlgebraInstructor: Mauricio VelascoLectures: TuTh 8:00-9:30am, Room 71 EvansCourse Control Number: 54706Office: 1063 EvansOffice Hours: TBAPrerequisites: Required Text: Recommended Reading:Syllabus: Course Webpage: Grading: Homework: Comments: Math 110 - Section 4 - Linear AlgebraInstructor: John KruegerLectures: MWF 3:00-4:00pm, Room 71 EvansCourse Control Number: 54709Office: 751 EvansOffice Hours: TBAPrerequisites: Required Text: Recommended Reading:Syllabus: Course Webpage: Grading: Homework: Comments: Math 110 - Section 5 - Linear AlgebraInstructor: Lek-Heng LimLectures: TuTh 3:30-5:00pm, Room 75 EvansCourse Control Number: 54712Office: 873 EvansOffice Hours: TBAPrerequisites: Required Text: Recommended Reading:Syllabus: Course Webpage: Grading: Homework: Comments: Math 110 - Section 6 - Linear AlgebraInstructor: Aaron GreiciusLectures: MWF 2:00-3:00pm, Room 70 EvansCourse Control Number: 54714Office: 796 EvansOffice Hours: TBAPrerequisites: Required Text: Recommended Reading:Syllabus: Course Webpage: Grading: Homework: Comments: Math 113 - Section 1 - Introduction to Abstract AlgebraInstructor: Shamgar GurevitchLectures: TuTh 3:30-5:00pm, Room 71 EvansCourse Control Number: 54715Office: 867 EvansOffice Hours: TBAPrerequisites: Required Text: Recommended Reading:Syllabus: Course Webpage: Grading: Homework: Comments: Math 113 - Section 2 - Introduction to Abstract AlgebraInstructor: Chung Pang MokLectures: MWF 3:00-4:00pm, Room 2 EvansCourse Control Number: 54718Office: 889 EvansOffice Hours: Tu 3:00-4:00pm, Th 2:00-3:00pmPrerequisites: Math 54 or equivalentRequired Text: John B. Fraleigh, A First Course in Abstract Algebra, Seventh EditionRecommended Reading: R. Allenby, Rings, Fields, and Groups, An Introduction to Abstract AlgebraSyllabus: Groups, Rings and Ideals, Fields and their extensions.Course Webpage: http://math.berkeley.edu/~mok/math113.htmlGrading: 20% homework, 40% for two mid-terms, 40% finalHomework: Assigned and due weekly on Friday.Comments: Math 113 - Section 3 - Introduction to Abstract AlgebraInstructor: Arthur OgusLectures: MWF 1:00-2:00pm, Room 75 EvansCourse Control Number: 54721Office: 877 EvansOffice Hours: TBAPrerequisites:Required Text:Recommended Reading:Syllabus:Course Webpage:Grading:Homework:Comments:Math 113 - Section 4 - Introduction to Abstract AlgebraInstructor: Mariusz WodzickiLectures: TuTh 9:30-11:00am, Room 71 EvansCourse Control Number: 54724Office: 995 EvansOffice Hours: TBAPrerequisites: Required Text: Recommended Reading:Syllabus: Course Webpage: Grading: Homework: Comments: Math H113 - Section 1 - Honors Introduction to Abstract AlgebraInstructor: Alexander GiventalLectures: TuTh 9:30-11:00am, Room 85 EvansCourse Control Number: 54727Office: 701 EvansOffice Hours: TBAPrerequisites: Required Text: Recommended Reading:Syllabus: Course Webpage: Grading: Homework: Comments: Math 114 - Section 1 - Second Course in Abstract AlgebraInstructor: Martin OlbermannLectures: MWF 1:00-2:00pm, Room 71 EvansCourse Control Number: 54730Office: 829 EvansOffice Hours: TBAPrerequisites: 110 and 113, or consent of instructorRequired Text: Ian Stewart, Galois Theory (You need the
2nd edition, NOT the 3rd edition! I recommend to use the reader made
available at Copy Central, 2560 Bancroft Way)Recommended Reading:Syllabus: Galois theory and associated topics in field theory and group theory.Course Webpage: http://math.berkeley.edu/~olber/114/index.htmlGrading: TBAHomework: Homework will be assigned on the web every week.Comments: Math 121A - Section 1 - Mathematical Tools for the Physical SciencesInstructor: Shamgar GurevitchLectures: TuTh 12:30-2:00pm, Room 75 EvansCourse Control Number: 54733Office: 867 EvansOffice Hours: TBAPrerequisites: Required Text: Recommended Reading:Syllabus: Course Webpage: Grading: Homework: Comments: Math 121B - Section 1 - Mathematical Tools for the Physical SciencesInstructor: Vera SerganovaLectures: MWF 12:00-1:00pm, Room 71 EvansCourse Control Number: 54736Office: 709 EvansOffice Hours: TBAPrerequisites: Required Text: Recommended Reading:Syllabus: Course Webpage: Grading: Homework: Comments: Math 125A - Section 1 - Mathematical LogicInstructor: Leo HarringtonLectures: TuTh 11:00am-12:30pm, Room 3 EvansCourse Control Number: 54739Office: 711 EvansOffice Hours: TBAPrerequisites: Required Text: Recommended Reading:Syllabus: Course Webpage: Grading: Homework: Comments: Math 126 - Section 1 - Introduction to Partial Differential EquationsInstructor: Xuemin TuLectures: MWF 10:00-11:00am, Room 4 EvansCourse Control Number: 54742Office: 1055 EvansOffice Hours: TBAPrerequisites: Required Text: Recommended Reading:Syllabus: Course Webpage: Grading: Homework: Comments: Math 128A - Section 1 - Numerical AnalysisInstructor: Ming GuLectures: MWF 12:00-1:00pm, Room 277 CoryCourse Control Number: 54745Office: 861 EvansOffice Hours: TBAPrerequisites: Required Text: Recommended Reading: Syllabus: Course Webpage: Grading: Homework: Comments: Math 128B - Section 1 - Numerical AnalysisInstructor: William KahanLectures: MWF 11:00am-12:00pm, Room 5 EvansCourse Control Number: 54763Office: 863 EvansOffice Hours: TBAPrerequisites: Required Text: Recommended Reading:Syllabus: Course Webpage: Grading: Homework: Comments: Math 130 - Section 1 - The Classical GeometriesInstructor: Mariusz WodzickiLectures: TuTh 12:30-2:00pm, Room 85 EvansCourse Control Number: 54769Office: 995 EvansOffice Hours: TBAPrerequisites: Required Text: Recommended Reading:Syllabus: Course Webpage: Grading: Homework: Comments: Math 135 - Section 1 - Introduction to Theory SetsInstructor: Thomas ScanlonLectures: MWF 11:00am-12:00pm, Room 103 GPBCourse Control Number: 54772Office: 723 EvansOffice Hours: TBAPrerequisites: Required Text: Recommended Reading:Syllabus: Course Webpage: Grading: Homework: Comments: Math 142 - Section 1 - Elementary Algebraic TopologyInstructor: Marco AldiLectures: TuTh 3:30-5:00pm, Room 70 EvansCourse Control Number: 54775Office: 805 EvansOffice Hours: TBAPrerequisites: Required Text: Recommended Reading:Syllabus: Course Webpage: Grading: Homework: Comments: Math 151 - Section 1 - Mathematics of the Secondary School Curriculum IInstructor: Theodore SlamanLectures: MWF 2:00-3:00pm, Room 30 WheelerCourse Control Number: 54778Office: 719 EvansOffice Hours: TBAPrerequisites:Required Text:Recommended Reading:Syllabus: Course Webpage:Grading:Homework:Comments:Math 152 - Section 1 - Mathematics of the Secondary School Curriculum IIInstructor: Hung-Hsi WuLectures: TuTh 11:00am-12:30pm, Room 31 Evans; W 4:00-5:00pm, Room 41 EvansCourse Control Number: 54784Office: 733 EvansOffice Hours: TBAPrerequisites: Math 53, 54, 113, or equivalentRequired Text: Lecture Notes, to be purchased from Copy Central after the first week.Recommended Reading: None.Syllabus: This course is the continuation of Math 151, and is
part of a three-semester sequence, Math 151-152-153, whose purpose is to
give a complete mathematical development of all the main topics of
school mathematics in grades 8-12. A key feature of this presentation is
that it would be directly applicable to the classroom of grades 8-12,
and in fact, to middle school as well. The main topics covered are: perpendicularity and parallelism of lines; systems of linear equations; concept of function; linear, quadratic, and polynomial functions; abstract polynomials and the division algorithm; fundamental theorem of algebra; proofs of basic theorems in Euclidean geometry; axiomatic system. Course Webpage: None.Grading: Homework 30%, First midterm 10%, Second midterm 20%, Final 40%.Homework: Homework will be assigned every week, and due once a week.Comments: Study group encouraged.Math 160 - Section 1 - History of MathematicsInstructor: Hung-Hsi WuLectures: TuTh 2:00-3:30pm, Room 71 EvansCourse Control Number: 54790Office: 733 EvansOffice Hours: TBAPrerequisites: Math 53, 54, 113Required Text: C.B. Boyer and U.C. Merzbach, A History of Mathematics, 2nd edition, Wiley, 1991Recommended Reading: To be given later.Syllabus: After a general chronological overview of the main
events in the development of mathematics, we will trace the evolution of
geometry, algebra, analysis, and number theory from the time of the
Babylonians to the nineteenth century. The Boyer-Merzbach text will be a
main reference, but will not be followed chapter by chapter.Course Webpage: None.Grading: Homework 30%, First midterm 10%, Second midterm 20%, Final 40%.Homework: Homework will be assigned every week, and due once a week.Comments: The assignments and the exams will both involve writing short essays about historical or biographical information.Math 172 - Section 1 - CombinatoricsInstructor: Joshua SussanLectures: TuTh 8:00-9:30am, Room 85 EvansCourse Control Number: 54793Office: 761 EvansOffice Hours: TBAPrerequisites:Required Text:Recommended Reading:Syllabus: Course Webpage:Grading:Homework:Comments:Math 185 - Section 1 - Introduction to Complex AnalysisInstructor: Martin OlbermannLectures: MWF 3:00-4:00pm, Room 4 EvansCourse Control Number: 54796Office: 829 EvansOffice Hours: TBAPrerequisites: 104, or consent of instructorRequired Text: Sarason, Notes on complex function theory, published by Henry Helson, Berkeley.Recommended Reading: The Sarason text is concise and without many
figures or worked examples, so you are encouraged to look also at at
least one other text, such as one of the following:
- Stewart and Tall,
*Complex analysis*, Cambridge University Press. - Lang,
*Complex analysis*, Springer-Verlag.
Syllabus: This is a standard introduction to the theory of
analytic functions of one complex variable. The main topics are contour
integration, Cauchy's Theorem, power series and Laurent series
expansions of analytic functions, classification of isolated
singularities, and the residue theorem with its applications to
evaluation of definite integrals. If time permits, we will also discuss
the argument principle and Rouch'e's Theorem, analytic continuation,
harmonic functions, and conformal mapping (including fractional linear
transformations).Course Webpage: http://math.berkeley.edu/~olber/185/index.htmlGrading: TBAHomework: Homework will be assigned on the web every week.Comments:Math 185 - Section 2 - Introduction to Complex AnalysisInstructor: Paul VojtaLectures: MWF 10:00-11:00am, Room 241 CoryCourse Control Number: 54799Office: 883 EvansOffice Hours: TBAPrerequisites:Required Text:Recommended Reading:Syllabus: Course Webpage:Grading:Homework:Comments:Math 185 - Section 3 - Introduction to Complex AnalysisInstructor: Mauricio VelascoLectures: TuTh 12:30-2:00pm, Room 71 EvansCourse Control Number: 54802Office: 1063 EvansOffice Hours: TBAPrerequisites:Required Text:Recommended Reading:Syllabus: Course Webpage:Grading:Homework:Comments:Math H185 - Section 1 - Honors Introduction to Complex AnalysisInstructor: William KahanLectures: MWF 9:00-10:00am, Room 5 EvansCourse Control Number: 54805Office: 863 EvansOffice Hours: TBAPrerequisites: Required Text: Recommended Reading:Syllabus: Course Webpage: Grading: Homework: Comments: Math 189 - Section 1 - Mathematical Methods in Classical and Quantum MechanicsInstructor: Dan VoiculescuLectures: MWF 3:00-4:00pm, Room 5 EvansCourse Control Number: 54808Office: 783 EvansOffice Hours: TBAPrerequisites: Required Text: Recommended Reading:Syllabus: Course Webpage: Grading: Homework: Comments: Math 202B - Section 1 - Introduction to Topology and AnalysisInstructor: Marc RieffelLectures: MWF 8:00-9:00am, Room 70 EvansCourse Control Number: 54913Office: 811 EvansOffice Hours: TBAPrerequisites: Required Text: Recommended Reading:Syllabus: Course Webpage: Grading: Homework: Comments: Math 208 - Section 1 - C^{*}-AlgebrasInstructor: Marc RieffelLectures: MWF 10:00-11:00am, Room 31 EvansCourse Control Number: 54916Office: 811 EvansOffice Hours: TBAPrerequisites: The basic theory of bounded operators on Hilbert
space and of Banach algebras, especially commutative ones. (Math 206 is
more than sufficient. Self-study of sections 3.1-2, 4.1-4 of "Analysis
Now" by G. K. Pedersen would be sufficient.)Required Text: Recommended Reading: None of the available textbooks follows closely the path that I will take through the material. The closest is probably:K. R. Davidson, C, Fields Institute Monographs, A.M.S.^{*}-algebras by ExampleI strongly recommend this text for its wealth of examples (and attractive exposition). Syllabus: The theory of operator algebras grew out of the needs
of quantum mechanics, but by now it also has strong interactions with
many other areas of mathematics. Operator algebras are very profitably
viewed as "non-commutative (algebras "of functions" on) spaces", thus
"quantum spaces". As a rough outline, we will first develop the basic
facts about C^{*}-algebras ("non-commutative locally compact
spaces") We will then briefly look at "non-commutative vector bundles"
and K-theory ("noncommutative algebraic topology"). Finally we will
glance at "non-commutative differential geometry" (e.g. cyclic homology
as "noncomutative deRham cohomology"). But I will not assume prior
knowledge of algebraic topology or differential geometry, and we are
unlikely to have time to go into these last topics in any depth.I will discuss a variety of examples, drawn from dynamical systems, group representations and mathematical physics. But I will somewhat emphasize examples which go in the directions of my current research interests, which involve certain mathematical issues which arise in string theory and related parts of high-energy physics. Thus one thread which will run through the course will be to see what the various concepts look like for quantum tori, which are the most accessible non-commutative differential manifolds. In spite of what is written above, the style of my lectures will be to give motivational discussion and complete proofs for the central topics, rather than just a rapid survey of a large amount of material. Course Webpage: Grading: I plan to assign several problem sets. Grades for the
course will be based on the work done on these. But students who would
like a different arrangement are very welcome to discuss this with me.Homework: Comments: Math 215B - Section 1 - Algebraic Topology Instructor: Robion KirbyLectures: MWF 9:00-10:00am, Room 81 EvansCourse Control Number: 54919Office: 919 EvansOffice Hours: MW 10:00-11:00amPrerequisites: 215A and 214, or equivalentRequired Text: NoneRecommended Reading: Hatcher's Algebraic Topology, Milnor's Characteristic Classes.Syllabus: We will cover homotopy theory and characteristic classes with many examples from low dimensional topology.Course Webpage: Grading: Based on homework.Homework: Homework will be assigned irregularly.Comments: Math C218B - Section 1 - Probability TheoryInstructor: Elchanan MosselLectures: TuTh 9:30-11:00am, Room 330 EvansCourse Control Number: 54922Office: 423 EvansOffice Hours: TBAPrerequisites: Required Text: Recommended Reading:Syllabus: Course Webpage: Grading: Homework: Comments: Math 220 - Section 1 - Methods of Applied Mathematics Instructor: Alberto GrünbaumLectures: TuTh 8:00-9:30am, Room 87 EvansCourse Control Number: 54925Office: 903 EvansOffice Hours: TuWTh 11:00am-12:00pmPrerequisites: Required Text: Recommended Reading:Syllabus: The purpose of this class is to present some topics
that play in important role in several areas of "applied mathematics".
Each of these subjects can be presented in a very detailed and technical
fashion, but this is exactly what I will try to avoid. My aim will be
to give an ab-initio presentation of several subjects and try to
emphasize their connections to each other. These topics include - Random walks and Brownian motion. Birth and death processes, branching processes. Recurrence, reversibility, the Ehrenfest urn model.
- Differential equations, coupled harmonic oscillators, some basic harmonic analysis.
- Evolution equations, semigroups of operators, the Feynman-Kac formula.
- Some prediction theory for stationary stochastic processes, the Ornstein-Uhlenbeck process.
- Stochastic differential equations, the harmonic oscillator driven by white noise.
- Invariant measures, ergodicity.
- Some Hamiltonian systems.
- Some important nonlinear equations exhibiting solitons, such as Korteweg de-Vries, non linear Schroedinger etc.
- The scattering transform as a nonlinear Fourier transform.
- Isospectral evolutions, the Toda equations.
Course Webpage: Grading: Homework: Comments: Math 222B - Section 1 - Partial Differential EquationsInstructor: Justin HolmerLectures: TuTh 12:30-2:00pm, Room 31 EvansCourse Control Number: 54928Office: 849 EvansOffice Hours: TBAPrerequisites: This course is a continuation of Math222a. Math
202a and Math202b, specifically the basics of Lebesgue measure and
integration theory and Hilbert space theory, are recommended.Required Text: L.C. Evans, Partial Differential Equations. See also the errata.Recommended Reading: I will provide recommended reading as we go along in the course.Syllabus: We will cover Parts II (linear theory) and III
(nonlinear theory) of the text. The topics are: Sobolev spaces and
embedding theorems, existence and regularity theory for second-order
elliptic, parabolic, and hyperbolic equations, calculus of variations,
fixed point methods, Hamilton-Jacobi equations, and systems of
conservation laws.Course Webpage: http://math.berkeley.edu/~holmer/teaching/s222b/.Grading: 100% homeworkHomework: Homework will be assigned each week and due the
following week. Each assignment will consist of a few required problems
and a few optional problems. Only the required problems will be
graded.Comments: The emphasis of this course is on theory, not
applications. Math 220, "Methods of Applied Mathematics" and Math 224B,
"Mathematical Methods for the Physical Sciences" are PDE courses with
emphasis on applications.Math C223B - Section 1 - Stochastic ProcessesInstructor: David AldousLectures: TuTh 11:00am-12:30pm, Room 334 EvansCourse Control Number: 54931Office: 351 EvansOffice Hours: TBAPrerequisites: Graduate level mathematical probability.Required Text: Recommended Reading: Dembo-Zeitouni, Large DeviationsJ. Michael Steele, Probability Theory and Combinatorial OptimizationSyllabus: The first half of the course covers technical aspects
of large deviation theory in moderate detail. The second half studies
mathematical properties of (rather than algorithms for finding)
solutions of optimization problem over random points in space or random
combinatorial structures. See webpage for more detailsCourse Webpage: http://www.stat.berkeley.edu/~aldous/206/index.htmlGrading: Homework or talk on a research paper.Homework: One set for the semester.Comments: Math 224B - Section 1 - Mathematical Methods for the Physical SciencesInstructor: Alberto GrünbaumLectures: TuTh 9:30-11:00am, Room 81 EvansCourse Control Number: 54934Office: 903 EvansOffice Hours: TuWTh 11:00am-12:00pmPrerequisites: Required Text: Recommended Reading:Syllabus: The main topic here is basic functional analysis, a rather sophisticated form of infinite dimensional linear algebra.In this class we will see how this subject arises naturally form the study of problems in ordinary and partial differential equations, integral equations, Fourier and other transforms, Green functions, perturbation theory, Riemann-Hilbert problems, etc. and how this became the natural tool to study many linear problems in several areas of physics, chemistry and related sciences. An instance of this is the relation between boundary conditions and extensions of a symmetric operator. We will talk about scattering problems in the case of the wave equation (dim 3) and then study in more detail the one dimensional case. The study of the corresponding "scattering transform" relating the potential to the scattering data will be seen to be a powerful tool to study certain nonlinear partial differential equations. Many of these topics are very classical, and they keep reappearing in more present day developments. I will try to illustrate this by looking at certain concrete examples that appear in "quantum computing" such as quantum random walks. The topics for the last few weeks may be influenced by the interests of the participants in the class. Course Webpage: Grading: Homework: Comments: Math 225B - Section 1 - MetamathematicsInstructor: Jack SilverLectures: TuTh 11:00am-12:30pm, Room 72 EvansCourse Control Number: 54937Office: 753 EvansOffice Hours: TBAPrerequisites:Required Text:Recommended Reading:Syllabus:Course Webpage:Grading:Homework:Comments:Math 227A - Section 1 - Theory of Recursive FunctionsInstructor: Theodore SlamanLectures: MWF 12:00-1:00pm, Room 47 EvansCourse Control Number: 54940Office: 719 EvansOffice Hours: TBAPrerequisites:Required Text:Recommended Reading:Syllabus:Course Webpage:Grading:Homework:Comments:Math 228B - Section 1 - Numerical Solution of Differential EquationsInstructor: James SethianLectures: TuTh 2:00-3:30pm, Room 9 EvansCourse Control Number: 54943Office: 725 EvansOffice Hours: TBAPrerequisites:Required Text:Recommended Reading:Syllabus:Course Webpage:Grading:Homework:Comments:Math 235A - Section 1 - Theory of SetsInstructor: John SteelLectures: TuTh 12:30-2:00pm, Room 81 EvansCourse Control Number: 54946Office: 717 EvansOffice Hours: TBAPrerequisites:Required Text:Recommended Reading:Syllabus: We will cover the basic ideas and techniques of set
theory, as well as some of the metamathematics of set theory. The plan
of the course is:1. The axioms of ZFC. Wellorders, transfinite recursion. Ordinal and cardinal arithmetic. Boolean algebras, filters and ultrafilters. 2. Infinitary combinatorics: club and stationary sets, trees, partition properties. Suslin's hypothesis, Martin's axiom. Lebesgue measure, Baire category. Cardinal numbers associated to the continuum. 3. The theory of definable sets of real numbers (descriptive set theory). Suslin representations of sets of reals. Determinacy. 4. Some metamathematics of ZFC: Godel's universe L of constructible sets. The set theory of L. 5. Large cardinals. The existence of measurable cardinals implies all Π ^{1}_{1} games are determined, hence V is not equal to L. The model L[U].Course Webpage:Grading: The course grade will be based on homework.Homework: I will assign a lot of homework, at varying levels of
difficulty, in hopes of making the course useful to the broadest
possible audience.Comments:Math 239 - Section 1 - Discrete Mathematics for the Life SciencesInstructor: Lior PachterLectures: TuTh 11:00am-12:30pm, Room 81 EvansCourse Control Number: 54949Office: 1081 EvansOffice Hours: TBAPrerequisites:Required Text:Recommended Reading:Syllabus:Course Webpage:Grading:Homework:Comments:Math 241 - Section 1 - Complex ManifoldsInstructor: Constantin TelemanLectures: TuTh 2:00-3:30pm, Room 87 EvansCourse Control Number: 54952Office: 905 EvansOffice Hours: TuTh 11:30am-1:00pmPrerequisites: Math 214 (Differentiable Manifolds) and 215A (Algebraic Topology)Required Text: Springer, Riemann surfacesWells, Differential Analysis on Complex ManifoldsRecommended Reading: Other books on Riemann surfaces may
substitute for some of the topics in Springer (Forster; Miranda; Chapter
2 of Griffiths & Harris) Syllabus: We will cover the basic theory of Riemann surfaces (6
wks), including line bundles, differentials, Riemann-Roch, then proceed
with higher-dimensional complex manifolds (9 wks): sheaves, Cech and
Dolbeault cohomology, vector bundles, connections and curvature, Sobolev
spaces, and the "big theorems": Hodge decomposition, Hard Lefschetz,
Kodaira vanishing and perhaps Kodaira embedding. The hard analytic
proofs for Riemann surfaces will be rolled into the general theory.Course Webpage: http://math.berkeley.edu/~teleman/241s08Grading: 50% Homework, 50% Take-home final in the form of a paper on a topic to be agreed with the instructor. Homework: Will be assigned periodically.Comments: None.Math 242 - Section 1 - Symplectic GeometryInstructor: Fraydoun RezakhanlouLectures: MWF 11:00am-12:00pm, Room 81 EvansCourse Control Number: 54955Office: 815 EvansOffice Hours: MWF 1:00-2:00pmPrerequisites: Some familiarity with differential forms and manifolds.Required Text: Hofer, H. and Zehnder, E., Symplectic invariants and Hamiltonian dynamics, BirkhauserRecommended Reading: McDuff, D. and Salamon, D., Introduction to symplectic topology, 2nd edition, OxfordSyllabus: Hamiltonian systems appear in conservative problems in
mechanics as in celestial mechanics but also in the statistical
mechanics governing the motion of atoms and molecules in matter. The
discoveries of last century have opened up new perspectives for the old
field of Hamiltonian systems and let to the formation of the new field
of symplectic geometry. In the course, I will give a detailed account of
some basic methods and results in symplectic geometry and its
application to physics and other fields of mathematics. I will follow Hofer, H. and Zehnder, E., Symplectic invariants and Hamiltonian dynamics, Birkhauser, for most of the course. Another recommended textbook is McDuff, D. and Salamon, D., Introduction to symplectic topology, 2nd edition, Oxford. Hand written notes will be provided in the class. Here is an outline of the course: 1. Sympletic linear algebra. Quadratic Hamiltonians. 2. Symplectic manifolds, cotangent bundles. Darboux’s theorem. Contact manifolds. 3. Variational problems. Generating functions. Lagrange submaifolds. Minimax principle. 4. Sympletic capacities. Gromov’s squeezing theorem. Weinstein’s conjecture, Viterbo’s existence of periodic orbits. Gromov-Eliashberg Theorem, continuous symplectic transformations. 5. Arnold’s conjecture and Conley-Zehnder’s solution. Course Webpage:Grading: There will be some homework assignments.Homework:Comments:Math 245A - Section 1 - General Theory of Algebraic StructuresInstructor: George BergmanLectures: MWF 3:00-4:00pm, Room 81 EvansCourse Control Number: 54957Office: 865 EvansOffice Hours: TuF 10:30-11:30am, W 4:15-5:15pmPrerequisites: The equivalent of one of Math H113, 114, or 250A,
or consent of the instructor. Math 135 can also be helpful if you have
not seen basic set theory in other contexts.Required Text: George M. Bergman, An Invitation to General Algebra and Universal Constructions (but see end of this announcement).Recommended Reading:Syllabus: The theme of Math 245A, as I teach it, is universal constructions. We begin with a well known case, the construction of free groups. We
will develop this in three quite different ways, and show why they come
to the same thing. We then examine a smorgasbord of other important
universal constructions, noting similarities, differences, and general
patterns.After that, we settle down to developing the tools needed to study the subject in a unified way: Ordered sets and the axiom of choice, closure operators, category theory, and the general concept of a variety of algebras. (We in fact treat most of these, not merely as means to this goal, but as interesting landscapes worth lingering over.) We find that the free group construction is a particular example of an adjoint functor
(it is left adjoint to the underlying set functor on groups), and
eventually develop a magnificent result of Peter Freyd, characterizing
those functors between varieties of algebras that have left adjoints,
and determine, in several cases, all such examples.Course Webpage:Homework & Grading: The text contains more interesting
exercises than anyone could do; I will ask you to think briefly about
each exercise, and select a few to hand in each week. Grades will be
based mainly on this homework. Students wishing a reduced homework-load
can enroll S/U.Comments: My philosophy is that it does not make sense to spend
the classroom time using the instructor and students as an animated
copying machine. Rather, the material that is typically delivered in a
lecture should be put in duplicated notes which the students study, and
class time should be devoted to the more human activities of discussing
and clarifying the material, introducing some topics by the Socratic
method, etc.. Such notes for Math 245, begun in Fall 1971 and reworked
each time I have taught the course, have developed into the text we will
use.There are difficulties with this way of teaching if a textbook leaves out motivation, examples, etc., that might be included in a lecture; but I have made it a point to include these in the notes. Another problem is that doing the reading before class runs counter to the habits many students have acquired. To get around this, I require each student to submit, on each class day, a question about the day's reading, if possible by e-mail at least an hour before class, so that I can prepare to address some of these questions in class. You can view the text online, and see how to purchase it, by
clicking on the title above. However, I hope to get a somewhat revised
version ready by January, so if you plan to take the course this Spring,
don't buy your own copy before then.Math 250B - Section 1 - Multilinear AlgebraInstructor: David EisenbudLectures: TuTh 9:30-11:00am, Room 5 EvansCourse Control Number: 54961Office: 909 EvansOffice Hours: Tu 11:00am-12:00pmPrerequisites: 250A or equivalentRequired Text: Eisenbud, Commutative Algebra With a View Toward Algebraic GeometryRecommended Reading:Syllabus: Basic commutative algebra, emphasizing affine and
graded rings and the connections to algebraic geometry. An introduction
to homological and computational techniques will be included. Special
topics as time permits.Course Webpage: Grading: 60% Homework, 40% final examHomework: Homework will be due once a week, and the grade willbe based on homework and a take-home exam. Comments: Math 253 - Section 1 - Homological AlgebraInstructor: Peter TeichnerLectures: TuTh 11:00am-12:30pm, Room 3 LeConteCourse Control Number: 54964Office: 703 EvansOffice Hours: TBAPrerequisites: 250A and some pointset topologyRequired Text: Recommended Reading: Brown, Cohomology of groupsGelfan, Manin: Methods of homological algebraSyllabus: The class will start with basic constructions for chain
complexes, with an eye towards group cohomology. We'll explain the
relation of the first three cohomology groups with extensions of groups
and we'll show how group cohomology drastically restricts the class of
finite groups that can act freely on spheres. The second part of the
class will introduce spectral sequences, a basic tool in all
computational aspects of cohomology theory. In the last part of the
class we'll study some homotopical algebra, including derived categories
and their application.Course Webpage: Under construction, check at http://math.berkeley.edu/~teichner.Grading: Based on homework.Homework: Yes.Comments: Math 254B - Section 1 - Number TheoryInstructor: Richard BorcherdsLectures: TuTh 3:30-5:00pm, Room 81 EvansCourse Control Number: 54967Office: 927 EvansOffice Hours: TuTh 2:00-3:30pmPrerequisites: 254ARequired Text: J. Neukirch, Algebraic number theory (same as for 250A)Recommended Reading: Cassels, Frohlich, Algebraic number theorySyllabus: The exact topics will depend on what gets covered in
254A, but will probably be something like class field theory,
zeta-functions and L-series.Course Webpage: http://math.berkeley.edu/~reb/254B/Grading: Homework: Not yet decided.Comments: Math 256B - Section 1 - Algebraic GeometryInstructor: Martin OlssonLectures: MWF 2:00-3:00pm, Room 35 EvansCourse Control Number: 54970Office: 887 EvansOffice Hours: TBAPrerequisites: Required Text: Recommended Reading:Syllabus: Course Webpage: Grading: Homework: Comments: Math 270 - Section 1 - Hot Topics Course in MathematicsInstructor: Peter TeichnerLectures: Tu 3:30-5:00pm, Room 35 EvansCourse Control Number: 54972Office: 703 EvansOffice Hours: TBAPrerequisites: Required Text: Recommended Reading:Syllabus: Course Webpage: Grading: Homework: Comments: Math 274 - Section 1 - Real-p-adic AnalysisInstructor: Robert ColemanLectures: MWF 1:00-2:00pm, Room 4 EvansCourse Control Number: 54973Office: 901 EvansOffice Hours: TBAPrerequisites: Required Text: Recommended Reading:Syllabus: In 1959, Tate showed Grothendieck some ad hoc
calculations that he had worked out with p-adic theta functions in order
to uniformize certain p-adic elliptic curves by a multiplicative group,
similarly to the complex-analytic case. Tate wondered if his
computations could have deeper meaning within a theory of global p-adic
analytic spaces, but Grothendieck was doubtful. In fact, in an August
18, 1959 letter to Serre, Grothendieck expressed serious pessimism that
such a global theory could possibly exist: "Tate has written to me about
his elliptic curves stuff, and has asked me if I had any ideas for a
global definition of analytic varieties over complete valuation fields. I
must admit that I have absolutely not understood why his results might
suggest the existence of such a definition, and I remain skeptical. Nor
do I have the impression of having understood his theorem at all; it
does nothing more than exhibit, via brute formulas, a certain
isomorphism of analytic groups; one could conceive that other equally
explicit formulas might give another one which would be no worse than
his (until proof to the contrary!)"In this course, we will begin to see how wrong Grothendieck was. Course Webpage: Grading: Homework: Comments: Math 274 - Section 2 - Topics in Algebra and Representation TheoryInstructor: Michel BroueLectures: TuTh 3:30-5:00pm, Room 72 EvansCourse Control Number: 54975Office: 895 EvansOffice Hours: TBAPrerequisites: General algebra, rudiments of group theoryRequired Text: NoneRecommended Reading: Serre, Linear representations of finite groupsJacobson, Basic AlgebraSyllabus: Complex reflection groups (finite subgroups of GL_{n}(C)
generated by pseudo-reflection) play a key role in group theory. A key
stone of invariant theory, they are skeletons of algebraic groups over
finite field, and they give rise to associated Braid groups and Hecke
algebras which are essential in understanding representations.We shall
examine all aspects of complex reflection groups, from definition,
classification, characterisation, to strong properties of the associated
Braid groups.Course Webpage: Grading: Homework: Comments: Math 277 - Section 1 - Topics in Differential GeometryInstructor: Michael HutchingsLectures: TuTh 8:00-9:30am, Room 179 StanleyCourse Control Number: 54979Office: 923 EvansOffice Hours: TBAPrerequisites: Basic algebraic topology and differential topology
are required; some differential geometry, symplectic geometry, and
functional analysis would be helpful.Required Text: None.Recommended Reading: Readings will be suggested as the course progresses.Syllabus: The topic of this course is Floer theory. The first
part of the course will cover Morse homology, which is the prototype for
all Floer theories. Morse homology recovers the homology of a smooth
manifold from dynamical information, namely the critical points of a
smooth function and the gradient flow lines between them. We will also
discuss various extensions of Morse homology which have interesting
analogues in Floer theory. The second part of the course will introduce
pseudoholomorphic curves and Floer homology of symplectomorphisms. The
latter is an infinite dimensional generalization of Morse theory which
leads to a proof of the Arnold conjecture giving lower bounds on the
number of fixed points of generic Hamiltonian symplectomorphisms. The
third part of the course will discuss versions of contact homology which
give invariants of contact three-manifolds. Some of these are related
to the Seiberg-Witten and Ozsvath-Szabo Floer homologies.Course Webpage: Will be linked from http://math.berkeley.edu/~hutchingGrading: Homework: Comments: Math 277 - Section 2 - Topics in Differential GeometryInstructor: Elizabeth GasparimLectures: MWF 1:00-2:00pm, Room 39 EvansCourse Control Number: 54981Office: TBAOffice Hours: MW 4:00-5:00pmPrerequisites: 214, 215Required Text: Milnor and Stasheff, Characteristic ClassesRecommended Reading: Griffiths and Harris, Chapter 0 section 5, Chapter 1 section 1, Chapter 3, section 3. Course notes.Syllabus: The first part of the course will be a topological
approach to the basic theory of vector bundles and characteristic
classes presented as in Milnor-Stasheff, the second part will be a
geometric approach to Chern classes via connections and polynomials on
the curvature as in Griffiths-Harris, and the third part will be about
local characteristic classes for sheaves on singular varieties (I will
distribute notes).Course Webpage: UCB Math 277 Course webpage, University of Edinburgh webpage.Grading: 50% homework and 50% take home finalHomework: Homework will be assigned periodically.Comments: Math 279 - Section 1 - Topics in Partial Differential EquationsInstructor: Daniel TataruLectures: TuTh 12:30-2:00pm, Room 87 EvansCourse Control Number: 54982Office: 841 EvansOffice Hours: TBAPrerequisites: Required Text: Recommended Reading:Syllabus: Course Webpage: Grading: Homework: Comments: Math 300 - Section 1 - Teaching WorkshopInstructor: The StaffLectures: TBACourse Control Number: 55594Office: Office Hours: TBAPrerequisites: Required Text: Recommended Reading:Syllabus: Course Webpage:Grading:Homework:Comments: |