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MATH 221-05 [3577], Spring 2016
Introduction to Linear Algebra


Course information

Course: MATH 221-05 [3577]: Introduction to Linear Algebra
Time/Place: TuTh 5:30pm-6:45pm, MP 106
Instructor: Dr.  Jacob Kogan Grader: Thomas Petr
Office: MP 426
Phone: 410-455-3297
Email: kogan at math.umbc.edu petrt1@umbc.edu
Office hours: TuTh 4:30 PM-5:30 PM and by appointment


Textbook

Linear Algebra and Its Applications (fourth edition) by Lay, Addison-Wesley, 2012.
(the text is available, for example, from alibris, amazon, barnes and noble, cheapesttextbooks, chegg, fetchbook, priority, valorebooks).
Some useful material (including practice exams) can be found here and here.

Course Description

Linear Algebra deals with systems of linear equations, their fundamental properties, and transformations of vector spaces. The basic objects of the course are vectors and matrices.

Linear algebra techniques are widely used in many areas, such as mathematics, engineering, economics, finance. They are also cornerstones for a variety of advance classes in science and engineering. The course will describe basic basic concepts and tools of linear algebra.

We will try to cover the following material: Sections 1.1-1.9, 2.1-2.3, 3.1-3.2, 4.1-4.6, 5.2-5.3, 6.1-6.4.
We may cover these topics in a different order. Depending on time we may cover more (or delete) topics.

Course Objectives

The following three topics will be emphasized:

  1. the algebra of linear equations and matrices,
  2. the geometry of vector spaces,
  3. algorithms for solving linear equations.
By the end of the class one should know:

Homework, Quizzes, Tests, and Grading

  1. Homework : Weekly homework will be assigned on Thursday and discussed the following Tuesday.
  2. Grading : The final grade will be based on three midterms (33 pt each), and the comprehensive final (100 pt).

Date Points Topic Midterm Solutions
Midterm 1, Thursday, February 25 33 pt Sec. 1.1-1.5, 1.7, 2.1, and 2.2 midterm 1 midterm 1
Midterm 2, Thursday, March 31 33 pt Sec. 1.8, 1.9, 2.3, 4.1, 4.2, 4.3 midterm 2 midterm 2
Midterm 3, Tesday, May 3 33 pt Sec. 3.1-3.2, 4.4-4.7, 5.1-5.3, 6.1-6.4 midterm 3 midterm 3
Final, Thursday, May 12 100 pt

The final exam is from 6:00 pm through 8:00 pm on Thursday, May 12, 2016.
There will be no make up tests.
Letter grade cutoffs are expected to be the following:
Percentage ≥ 90% 89% ≥ and ≥ 80% 79% ≥ and ≥ 70% 69% ≥ and ≥ 60% 59% ≥
Letter Grade A B C D F


Remember: Mathematics is NOT a spectator sport.
Read through the relevant section of the text (and look over all the assigned problems) before each lecture.

old quizzes and solutions

Homework assignments and next class material


Next class April 28, 2016 review before the mid term

HW1 due Tuesday 02/09/16 starts here solutions
  • Sec. 1.1, p.10: 1, 3, 12, 17, 21, 23(a)
  • Sec. 1.2, p.21: 10, 12, 14, 20, 31
  • Sec. 1.3, p.32: 9, 10, 16, 12, 14, 23(c,d, e)
    HW1 due Tuesday 02/09/16 ends here
    HW2 due Tuesday 02/16/16 starts here solutions
  • Sec. 1.4, p.40: 2, 4, 6, 8, 9, 12, 13, 35;
  • Sec. 1.5, p.47: 2, 8, 10, 12, 15, 18, 35, 38
  • Sec. 2.1, p.100: 3, 5, 6, 12, 24, 26, 33
    HW2 due Tuesday 02/16/16 ends here
    HW3 due Tuesdaday 03/22/16 starts here solutions
  • Sec. 2.2, p.109: 4, 9(a,b,c,d), 14, 16, 18, 31
  • Sec. 1.7, p.60: 6, 8, 14, 18, 20, 21, 33
    HW3 due Tuesday 02/23/16 ends here
    no homework is due Tuesday 03/01/16
    HW4 due Tuesday 03/08/16 starts here solutions
  • Sec. 1.8, p.68: 26, 27, 30, 32
  • Sec. 1.9, p.78: 11, 15, 22, 26, 34
    HW4 due Tuesday 03/08/16 ends here
    HW5 due Tuesday 03/22/16 starts here solutions
  • Sec. 2.3, p. 115: 2, 4, 8, 11(a,d,e), 12(a,b,c), 21, 27, 33, 39.
  • Sec. 4.1, p. 195: 16, 21, 22, 32, 33
  • Sec. 4.2, p. 205: 6, 9, 14, 27, 28
    HW5 due Tuesday 03/22/16 ends here
    HW6 due Tuesday 03/29/16 starts here solutions
  • Sec. 4.3, p.213: 3, 8, 13, 14, 21(b,c,d), 22(a,b,e), 25, 33
  • Sec. 4.5, p.229: 3, 8, 10, 14, 15, 17, 19(a,d), 20(d)
  • Sec. 4.6, p.236: 2, 3, 7, 8, 9, 11, 18(a,c), 31, 32;
    HW6 due Tuesday 03/29/16 ends here
    HW7 due Tuesday 04/12/16 starts here solutions
  • Sec. 4.4, p.222: 3, 7, 10, 14, 22;
  • Sec. 4.7, p.242: 1, 6, 9,
  • Sec. 3.2, p.175: 20, 21, 22, 37, 41
    HW7 due Tuesday 04/12/16 ends here
    HW8 due Tuesday 04/19/16 starts here solutions
  • Sec. 5.1, p.271: 7, 9, 17, 24.
  • Sec. 5.2, p.279: 2, 4, 7, 8, 25
  • Sec. 5.3, p.286: 6, 7, 12, 20, 21(a,b)
    HW8 due Tuesday 04/19/16 ends here
    HW9 due Tuesday 04/26/16 starts here solutions
  • Sec. 6.1, p.336: 2, 7, 10, 14, 16, 17, 20, 23, 31;
  • Sec. 6.2, p.344: 3, 8, 12, 13, 16, 20, 23(a, e), 24;
  • Sec. 6.3, p.352: 4, 5, 8, 9, 11, 12, 21 (a, b, c, d);
  • Sec. 6.4, p.358: 5, 11;
    HW9 due Tuesday 04/26/16 ends here

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