MATH 51 - Fall 2005
Linear Algebra and Differential Calculus of Several Variables

| Announcements and Dates | General Info | Schedule |
| TA Sections | Matlab | Homework | Further Reading |
| Tips and Advice | Handouts | Coursework |
| Discussion Forums |

Announcements & Dates

Announcements

  • (12/13) Elvis has left the building. Happy Holidays!
  • (12/7) FINAL EXAM information:
    Monday, December 12 (7-10 pm). There will be 3 rooms:
    Brubaker and Blumberg: Annenburg Auditorium (basement of Art building)
    Clingher and Oprea: Cubberley Auditorium (Education building)
    Milanov: EDUC 128
    There will be no make up time.
  • (12/6) Solutions to midterm II are available in the Handouts section.
  • (12/5) Practice finals (with solutions) are available in the Handouts section.
  • (11/14) MIDTERM II information:
    MAIN TIME: Thursday, October 17, 7 - 8:30pm. There will be 3 rooms:
    Cubberly Auditorium - Blumberg, Milanov, Oprea
    Hewlett 201 - Brubaker
    420-041 - Clingher

    There is 1 MAKE UP TIME:
    Wednesday, November 16, 5 - 6:30, in 380Y.
    Email Ben Brubaker in order to take the alternate time.
  • (11/7) Practice midterms (with solutions) for midterm II are available in the Handouts section.
  • (10/31) Solutions to midterm I are now available in Handouts. It is a good idea to go through them and understand how to do any questions you couldn't do on the exam.
  • (10/19) MIDTERM I information:
    MAIN TIME: Thursday, October 20, 7 - 8:30pm. We have two rooms:

    Blumberg, Brubaker, and Clingher sections will be in CUBBERLY AUDITORIUM in the EDUCATION building.

    Milanov and Oprea sections will be in HEWLETT 201.

    There are 3 MAKE UP TIMES:
    Wednesday 7-8:30pm 380-380F
    Thursday 5-6:30pm 60-61A
    Friday Morning 9-10:30am 380-380C

    Students can choose among these, but they need to email Ben Brubaker in order to take an alternate time.
  • (10/16) Practice midterms (with solutions) available in the Handouts section. Remember to try to do the questions before looking at the solutions.
  • (9/28) A few of the TA's have shuffled around who is teaching which section. Apologies for any inconvenience caused.

    • Important Dates

  • Sunday, October 16: Add deadline
  • Thursday, October 20: Midterm I (7-8:30 pm) Location: TBA
  • Sunday, October 23: Drop deadline
  • Thursday, November 17: Midterm II (7-8:30 pm) Location: TBA
  • Sunday, November 20: Withdrawal deadline
  • Monday, December 12: Final Exam (7-10 pm)

    • General Information

    Meeting Time Lecture: M,W,F at either 11:00 - 11:50 am or 1:15-2:05 pm (see rooms below)
    TA Sections: Tu,Th (various times, see Rooms and TA Sections below)
    Course
    Overview    		 Linear Algebra and Multivariable Calculus are two of the most widely used mathematical tools across all scientific disciplines. This course seeks to develop background in both and highlight the ways in which multivariable calculus can be naturally understood in terms of linear algebra.
    Prerequisites and Other Courses There aren't any specific prerequisites for this course beyond a strong understanding of differential calculus of one variable. We will start from the beginning in linear algebra and build up all concepts together in lecture. However, this course is packed with information and moves quickly. Students who are somewhat unsure of their calculus background may want to consider courses in the 40 series. Students with some experience with mathematical proof and who are looking for a more challenging course may want to try Math 51H.
    TextbooksLinear Algbera, by S. Levandosky
    -- An efficient introduction to linear algebra by a former Math 51 instructor
    Vector Calculus (3rd. Edition), by S.J. Colley
    -- New book for this course, with better explanations and examples than books from previous years
    Grade
    Breakdown     		Midterm I -- 20 %, Midterm II -- 20 %
    Final Exam -- 40%, Homework and Matlab Exercises -- 20%
    Course
    Head    		 BEN BRUBAKER (brubaker@math.stanford.edu)
    Office: 382-F (2nd floor, Math building 380)
    Office Phone: 3-4507
    Office Hours: Friday 9 - 11
    Professors ANDREW BLUMBERG (blumberg@math.stanford.edu)
    Office: 383-UU (3rd Floor, Math building 380)
    Office Hours: Monday 2:30 - 3:30, Wednesday 2:30 - 3:30
    ADRIAN CLINGHER (clingher@math.stanford.edu)
    Office: 382-J (2nd Floor, Math building 380)
    Office Hours: Monday 5 - 7, Wednesday 2:15 - 3:15
    TODOR MILANOV (milanov@math.stanford.edu)
    Office: 382-B (2nd Floor, Math building 380)
    Office Hours: Monday 12 - 1, Wednesday 12 - 1, Friday 12 - 1
    DRAGOS OPREA (oprea@math.stanford.edu)
    Office: 382-D (2nd Floor, Math building 380)
    Office Hours: Wednesday 3 - 5
    Teaching
    Assistants    		 JAROD ALPER (jarod@math.stanford.edu)
    Office: 380-J (Basement, Math building 380)
    Office Hours: Monday 2 - 3, Tuesday 2 - 4
    ANDRES ANGEL (jangel@math.stanford.edu)
    Office: 380-T (Basement, Math building 380)
    Office Hours: Monday 2:30 - 4, Wednesday 2:30 - 4
    OREN ANTEBI (antebi@math.stanford.edu)
    Office: 381-K (1st Floor, Math building 380)
    Office Hours: Monday 2:15 - 5:15
    THEODORA BOURNI (bourni@math.stanford.edu)
    Office: 380-S (Basement, Math building 380)
    Office Hours: Monday 2:15 - 3:15, Tuesday 6:15 - 8:15
    POKMAN CHEUNG (pokman@math.stanford.edu)
    Office: 380-R (Basement, Math building 380)
    Office Hours: Monday 5 - 6, Wednesday 5 - 7
    KATE GRUHER (gruher@math.stanford.edu)
    Office: 381-K (1st Floor, Math building 380)
    Office Hours: Tuesday 9 - 10:30, Thursday 9 - 10:30
    JIAN HE (jian@math.stanford.edu)
    Office: 380-M (Basement, Math building 380)
    Office Hours: Tuesday 9:30 - 11, Thursday 9:30 - 11
    LAN-HSUAN HUANG (lhhuang@math.stanford.edu)
    Office: 381-F (1st Floor, Math building 380)
    Office Hours: Monday 10 - 11:30, Wednesday 10 - 11:30
    DANIEL MATHEWS (mathews@math.stanford.edu)
    Office: 381-G (1st Floor, Math building 380)
    Office Hours: Wednesday 4 - 7
    SUHAS NAYAK (nayak@math.stanford.edu)
    Office: 380-R (Basement, Math building 380)
    Office Hours: Tuesday 3:30 - 6:30
    YIANNIS SAKELLARIDIS (ACE) (yiannis@math.stanford.edu)
    Office: 380-H (Basement, Math building 380)
    Office Hours: Monday 4 - 7
    Administrative
    Teaching
    Assistant    		 HENRY SEGERMAN (henrys@math.stanford.edu)
    Office: 381-M (1st Floor, Math building 380)
    Office Hours: Tuesday 12:30 - 3:30
    Please direct all website/forum questions to me. Contact your TA first about issues with coursework.
    Office
    Hours    		 Office hours for lecturers and TAs are as listed above. In addition SUMO has (free) tutoring sessions from 6 - 10pm on Mondays and Wednesdays in 381-T (1st Floor, Math building).

    For quick reference, check out this schedule of office hours for the week. Office hours may change around so the date when anything was last changed is in the top left corner of the schedule.

    The Center for Teaching and Learning runs a free drop-in tutoring service for many subjects including math, and each student is entitled to 8 hours of free tutoring per quarter.

    Rooms and TA Sections

    Lecture
    Section    		 Instructor & Room TAs & Section No. TA Room and Time
    #1 (AM) Ben Brubaker
    380-380C    		 Sect. #2: Jian He
    Sect. #3: Suhas Nayak    		 Meyer143 (11-11:50)
    Sequoia200 (11-11:50)
    #4 (PM) Ben Brubaker
    380-380C    		 Sect. #5: Jian He
    Sect. #6: Suhas Nayak    		 Gesb124 (1:15-2:05)
    McCull122 (2:15-3:05)
    #7 (AM) Andrew Blumberg
    380-380X    		 Sect. #8: Theodora Bourni
    Sect. #9: Oren Antebi    		 McCull126 (10-10:50)
    EncinaC464 (11-11:50)
    #10 (PM) Andrew Blumberg
    380-380X    		 Sect. #11: Theodora Bourni
    Sect. #12: Oren Antebi    		 420-286 (11-11:50)
    260-113 (1:15-2:05)
    #13 (AM) Adrian Clingher
    380-380F    		 Sect. #14: Jarod Alper
    Sect. #15: Lan-Hsuan Huang    		 60-62L (10-10:50)
    420-371 (11-11:50)
    #16 (PM) Adrian Clingher
    380-380F    		 Sect. #17: Jarod Alper
    Sect. #18: Lan-Hsuan Huang    		 Hewlett201 (1:15-2:05)
    Educ130 (1:15-2:05)
    #19 (AM) Todor Milanov
    200-303    		 Sect. #20: Daniel Mathews
    Sect. #21: Kate Gruher    		 Gates B12 (11-11:50)
    Econ 139 (11-11:50)
    #22 (PM) Todor Milanov
    200-303    		 Sect. #23: Daniel Mathews
    Sect. #24: Kate Gruher    		 60-61A (1:15-2:05)
    McCull126 (2:15-3:05)
    #25 (AM) Dragos Oprea
    380-380W    		 Sect. #26: Pokman Cheung
    Sect. #27: Andres Angel    		 380-380F (10-10:50)
    320-220 (11-11:50)
    #28 (PM) Dragos Oprea
    380-380W    		 Sect. #29: Pokman Cheung
    Sect. #30: Andres Angel    		 60-61H (1:15-2:05)
    HerrinT185 (1:15-2:05)
    51A #1 Ben Brubaker
    380-380C    		 Sect. #2: Yiannis Sakellaridis HerrinT195 (1:15-3:05)

    Further Reading:

  • Math 51 Tips and Advice.
  • Math 51 Discussion Forums.
  • About the (and more) images.
  • An applet to investigate functions of two variables.
    		•

    Solutions and Handouts:

  • This is where we'll post solutions to sample midterms and midterms themselves, as well as any handouts that might be handed out in class. Solutions to homework can be found on the homework page.
  • Errata for the book Linear Algebra by Levandosky. This contains corrections for typos in Levandosky's book.
  • Practice exam for midterm I, with solutions (from the Spring '05 course, thanks to Mark Meckes).
    Warning: Do not look at or print out the solutions to the practice exam until after working on the exam yourself, taking some time, and going back later to try any problems you couldn't do the first time again. Doing the problems while looking at the answers renders them almost completely useless as preparation for taking an exam.
  • More practice exams (with solutions):
    Spring 2001 Midterm 1
    Spring 2002 Midterm 1
    Spring 2003 Midterm 1
    Winter 2004 Midterm 1
  • Solutions to midterm I
  • Practice exams (with solutions) for midterm II:
    Fall 2001 Midterm 2
    Spring 2001 Midterm 2
    Spring 2002 Midterm 2
    Fall 2003 Midterm 2
    Spring 2003 Midterm 2
  • Google lecture handout (by Brian White), will be useful for Matlab homework 2.
  • Practice finals (with solutions):
    Fall 2000 Final
    Fall 2001 Final
    Spring 2003 Final
  • Solutions to midterm II

    • Matlab

  • Matlab is available on the Sweet Hall computers, and many of the computers in the Tressider Lair (the computer lab on the second floor of Tressider). If you are able to log in using a unix terminal you can also log in to (say) tree.stanford.edu (or any leland machine) and at the command line type "matlab" to start the program. You may or may not get a graphical user interface, depending on what kind of computer you are running it from.
  • Matlab Homework 1 (also contains examples and instructions on how to use matlab).
  • Matlab Homework 2
  • Matlab Homework 3

    • Website designed by Ben Brubaker and Henry Segerman, maintained by Henry Segerman.