Sharedwww / 54.htmlOpen in CoCalc
Linear Algebra

Linear Algebra (Math 54)

I am a TA for H.W. Lenstra's Math 54 course. You will find some solutions and other information here.

Solutions

Syllabus

H.W. Lenstra, Jr. (office hours MF 3:15--4:15 p.m., 879 Evans, tel. 643-7857).

Spring 1996, MWF 2--3, 10 Evans.

Prerequisites: 1A--B or equivalent. Textbooks:

  • H. Anton, Linear algebra (seventh edition), John Wiley & Sons, New York, 1994;
  • W.,E. Boyce & R.,C. DiPrima, Elementary differential equations and boundary value problems, John Wiley & Sons, 1992.

    The textbooks will be followed fairly closely.

    Approximate course outline. The first five weeks are devoted to linear algebra (Anton): Chapter 1 (weeks 1 & 2), Chapter 2 (week 3), Chapter 4 and Chapter 5, Sections 1 & 2 (weeks 4 & 5). This material is covered by the first midterm, on Friday, February 16, 2--3 p.m. (rooms to be announced). The second five weeks are also devoted to linear algebra (Anton): Chapter 5, Sections 3--6 (weeks 6 & 7), Chapter 6 (without Section 4) (week 8), Chapter 7 (weeks 9 & 10). This material is covered by the second midterm, on Friday, March 22, 2--3 p.m. (rooms to be announced). The last five weeks, after the Spring Recess, are devoted to differential equations (Boyce & DiPrima): Sections 3.2, 3.3, 4.1, 7.4--7 (weeks 11--13), Chapter 10, Sections 1--6 (weeks 14 & 15). The final examination is on Friday, May 17, 5--8 p.m. (room to be announced). The final examination covers differential equations.

    Homework, consisting of about 10 problems, will be assigned every week on Monday. It is due by Tuesday the following week. Due to the unavailability of readers only one problem will be graded every week. Every Tuesday there is a short quiz on two other problems from the homework assignment, or on slight variations thereof.

    Grading policy: 15% homework, 25% quizzes, 20% first midterm, 20% second midterm, 20% final examination. There will be no make-ups for a midterm without a note of a doctor that you were indisposed. ~ ~

    List of Homework Assignments

    -------------------------------------------------
  • The first ten homework assignments are from Anton, Elementary linear algebra, 7th edition. -------------------------------------------------
  • 1 Jan 23 1, 1 - 5, 7, 9, 13; 2 - 3, 4ad, 5bc, 6ad, 7bd, 12
  • 2 Jan 30 1, 3 - 5abcdef, 12, 23; 4 - 4, 14; 5 - 3, 6a, 7be; 6 - 5, 9;
  • 3 Feb 6 2, 1 - 1bc, 7; 3 - 2, 3; 4 - 9, 12, 18; 3, 1 - 14; 2 - 4; 3 - 6ac;
  • 4 Feb 13 4, 1 - 2, 4, 10; 2 - 3, 14, 21; 3 - 5ac, 6ad, 18bd, 19bd
  • 5 Feb 20 5, 1 - 6, 12; 2 - 2bc, 4ace, 7;
  • 6 Feb 27 5, 2 - 1, 9, 12; 3 - 4cd, 7, 20; 4 - 1, 4, 17, 18
  • 7 Mar 5 5, 3 - 11, 15; 4 - 20; 5 - (6, 8, 9, 10)cd; 6 - (2, 3)cd, 5
  • 8 Mar 12 6, 1 - 9, 17, 20, 28; 2 - 1adf, 3be, 17; 3 - 17a, 22, 29
  • 9 Mar 19 6, 5 - 3abe, 5; 7, 1 - 11, 12; 2 - 2, 5, 9, 14; 9, 4 - 1, 3
  • 10 Apr 2 7, 2 - 18; 3 - 1bcf, 7

    -------------------------------------------------

  • The last four homework assignments are from Boyce-DiPrima, Elementary differential equations and boundary value problems, 5th edition. -------------------------------------------------
  • 11 Apr 9 3, 1 - 5, 8; 2 - 22, 24; 3 - 2, 6; 4 - 8; 5 - 2; 4, 1 - 21; 2 - 25;
  • 12 Apr 16 7, 4 - 6ab; 5 - 5, 8, 13, 18; 6 - 7, 10; 7 - 6, 8
  • 13 Apr 23 10, 1 - 4, 5; 2 - 1, 10, 21, 22; 3 - 3, 7; 4 - 17, 29
  • 14 Apr 30 10, 5 - 1, 7; 6 - 4

    Responsible TA's

  • 1 Jan 23 Jan 24 William Stein
  • 2 Jan 30 Jan 31 Diane MacLagan
  • 3 Feb 6 Feb 7 Alexander Berg
  • 4 Feb 13 Feb 14 Greg Anderson
  • 5 Feb 20 Feb 21 William Stein
  • 6 Feb 27 Feb 28 Diane MacLagan
  • 7 Mar 5 Mar 6 Alexander Berg
  • 8 Mar 12 Mar 13 Greg Anderson
  • 9 Mar 19 Mar 20 William Stein
  • 10 Apr 2 Apr 3 Diane MacLagan
  • 11 Apr 9 Apr 10 Alexander Berg
  • 12 Apr 16 Apr 17 Greg Anderson
  • 13 Apr 23 Apr 24 William Stein
  • 14 Apr 30 May 1 Diane MacLagan

    Solutions from Fall 1995 (When I TA'd for Ogus)