MA 52: Linear Algebra, Section 3, fall 2009

Instructor

  • Reinier Bröker

    • Times and Places

    Syllabus

    Text book

    Matrices and Linear Algebra by H. Schneider and G. H. Barker. This book is available in the Brown bookstore and at various online bookstores.

    Contents

    Topics include matrix algebra, system of linear equations, row and column operations, equivalence relations, determinants, vector spaces and their geometry, eigenvectors and eigenvalues, linear transformations and various applications of linear algebra. Most of this material is covered in the first 7 chapters of the book. To get a more detailed list of the topics covered, simply glance at the index of the book (although we will certainly skip and swap some sections). As the only way to really learn mathematics is by doing it, you will be expected to work on problem sets every week. You should also plan to read selections from the text in preparation for each class.

    Exams

    First midterm: Wednesday 7 October, 2009. (Exam)

    Second midterm: Monday 9 November, 2009. (Exam)

    Final: Tuesday 15 December, 2009, 2pm - 5pm. Room: Wilson Hall, 301

    Homework

    Due date Exercises
    9-16-2009 Sec 1.1: 1a, 2a. Sec 1.2: 2a, 5a. Sec 1.3: 7, 9
    9-23-2009 Sec 2.2: 2, 3, 10(a). Sec 1.4: 1, 16
    9-30-2009 Sec 2.3: 1a,1d, 3, 6a. Sec 2.4: 3 (only for 1e,f)
    10-09-2009 Sec 2.5: 1a,1b, 2. Sec 2.6: 2c, 5, Extra exercise
    10-14-2009 Sec 3.1: 1b, 2e,2f. Sec 3.2: 3
    10-21-2009 Sec 3.3: 1, 2(a),2(c). Sec 3.4: 1, 11 (don't follow the proof of the Theorem of Exchange, follow the technique from class)
    10-28-2009 Sec 3.5: 1(a,c,f). Sec 3.6: 7. Sec 3.7: 1, 3. Sec 3.8: 6.
    11-4-2009 Sec 4.1: 2(b). Sec 4.4: 1 (A,B,F), 3. Sec 4.5: 7
    11-11-2009 Sec 6.1: 1(a,c). Sec 6.2: 3
    11-18-2009 Sec 6.3: 1,2,4. Sec 6.4: 1 (1a, 1b). Sec 6.5: 2.
    12-02-2009 Exercises
    12-09-2009 Exercises