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Assignment #1 - Due on Wednesday, September 9
If you have not already done so, activate your computer account.
Log in on the campus computer system and do the following:
1) Read any incoming e-mail you find from your instructor in your mail
box.
2) Access your instructor's web page for this course:
(http://faculty.salisbury.edu/~dccathcart/math306/m306home.html)
4) Follow the appropriate links and read the "Course Syllabus," your
"Instructor's Policies," and the "Guidelines for Written Work."
Read "A Note to Students" on pp. xv-xvi of our text.
Read pp. 1-2.
Read, and work through, Section 1.1 (pp. 2-10).
Work the following exercises. Turn in written solutions only for
the exercises whose numbers are enclosed in parenthesis. Up to the due
date for the assignment, you are invited to place solutions to exercises
identified with an asterisk on the board prior to class. Write up your problem
solutions so
that your paper is easy to read and you method and thought process are clear to the reader. Carefully
state your
conclusions in the form of complete English sentences. (Look at the web version
of the course
syllabus and review the guidelines for written work.)
1.1 Practice Problems (p. 10): 1-4 all. Solutions can be found
on p.13.
1.1 Exercises: 1-13 odd, 8*, (10), 12*, (16), 18*, 23, 24, (28), 29-32 all
Read, and work through, Section 1.2 (pp. 13-24).
Practice Problems (p. 24): 1, 2. Solutions can be found on pp.
26-27.
Show, and identify, each step in your row reduction process.
1.2 Exercises: 1-11 odd, 8*, (10), (12), 15, 21-31 odd, (34); 21-31 odd are important exercises.
Read, and work through, Section
1.3 (pp. 27-36)
Practice Problems (p. 36): 1, 2. Solutions are on p. 39.
1.3 Exercises: 1-9odd, 11*, (12)
Link to sample solutions for some exercises in Assignment #1
Link to a student's solution for 1.3 Exercises #12.
Assignment #2 - Due on Tuesday, September 15
Turn in written solutions only for the exercises whose numbers are enclosed in parenthesis. Up to the due date for the assignment, you are invited to place solutions to exercises identified with an asterisk on the board prior to class. Write up your problem solutions so that your paper is easy to read and you method and thought process are clear to the reader. Carefully state your conclusions in the form of complete English sentences. (Look at the web version of the course syllabus and review the guidelines for written work.)
Read, and work through, Section 1.3 (pp. 27-36)
1.3 Exercises: 11-25 odd, (14), (18), 24, 25, (26), (28), (29), (30), (32)
Read Section 1.4 (pp. 39-45).
Practice Problems (pp. 45-46): 1, 2. Solutions on p. 48.
1.4 Exercises: 1-17 odd, (12), (18), 19, (20), 23, 25, 29-38 all, (40)
Read Section 1.5 (pp. 48-55)
Practice Problems (p. 55): 1, 2. Solutions on p. 58.
1.5 Exercises (pp. 55-58): 1-13 odd, (6), (8), (14), (16), 21, (22), 23, 24,
(26), (28), 29-32 all
Link to sample solutions for some exercises in 1.3 Exercises
Link to sample solutions for some exercises in 1.4 Exercises
Sample solution for 1.3/#29&30
Sample solution for 1.5/#14&22
Assignment #3 - Due on Tuesday, September 22
Turn in written solutions only for the exercises whose numbers are enclosed in parenthesis. Up to the due date for the assignment, you are invited to place solutions to exercises identified with an asterisk on the board prior to class. Write up your problem solutions so that your paper is easy to read and you method and thought process are clear to the reader. Carefully state your conclusions in the form of complete English sentences. (Look at the web version of the course syllabus and review the guidelines for written work.)
Read Section 1.6 (pp. 57-62)
Practice Problems (p. 62): 1, 2. Solutions on pp. 64-65.
1.6 Exercises (pp. 63-64): 3*, (12)
Read Section 1.7 (pp. 65-70.)
Practice Problems 1-4 (p.70). Solutions on pp. 72-73.
1.7 Exercises (pp. 71-73): 1-9 odd, (6), (10),15-20 all, (16), (18), 21, 27,
29, 33-38 all
1.8 Exercises: 1, 3*, 5, 9*, 11
Sample solutions for 1.7/#16 and #18
Assignment #4 - Due on Friday, September 25
Practice Problems (p. 79). Solutions on p. 82.
1.8 Exercises: 1, 3, 5*, (4), (6), 7*, (10), (12), Read the directions
following exercise 12,
(14), (16), (18), 19*, (20), 21, (22a,b,c,d), 29, 31*, (32), 33*
Read Section 1.9.
Practice Problem (p. 90). Solution on p. 92.
1.9 Exercises: 1-13 odd, (2), (8), (10), (12), 13*, (14), (18), 23*, (26),
(28)
Sample solutions for some exercises in Assignment #4
Test #1 - Tuesday, September 29 (No notes; no calculator)
Study the objectives for Chapter 1 in Linear Algebra Course Objectives. (Click on link.)
Consider Ch. 1 Supplementary
Exercises: #1, #3.
Study Practice
Test #1. (Click on link.) Test #1 will be similar to the
practice test but will also include some true-false items like those in the
exercises in the text.
Link to Test #1 in Spring of 2007
Assignment #5 - Due on Wednesday, October 7
Read and work through Section 2.1 in your text.
Practice Problems (p. 116): 1, 2. Solutions on p. 118.
2.1 Exercises: 1-15 odd, (6), (10), (12), (18), (24), (27), (28), 29, (30), 31,
(38) Read the instructions before exercise #36.
Read Section 2.2.
Link to some sample solutions for some exercises on Assignment # 5
Assignment #6 - Due on Friday, October 9
Practice Problems (p. 125): 1, 2. Solutions on p.128.
2.2 Exercises: 1-25 odd, (6), (8) (12), (13), (16), (18), (22), (32), (34)
Link to some sample solutions for some exercises on Assignment # 6
Assignment #7 - Due on Friday, October 16
Read and work through Section 2.3.
Practice Problems (p. 132): 1, 2, 3
2.3 Exercises: 1-25 odd, (4), (8), (10), 11*, (12), (14), 15*, 17*, (22), (32), 33*, (34), (36)
Read and work through Section
2.8.
Practice Problems (p. 173): 1, 2, 3
2.8 Exercises: 1*, (2), (8), (10), 11*, 15*
Link to a student's solutions for exercises on Assignment # 7
Assignment #8 - Due on Tuesday, October 20
2.8 Exercises: (12), (14), (16),
(18), (20), 21-29 odd, (22), (24), (28), (30), 31, 33, 35
Read and work through Section 2.9
Practice Problems (p. 180): 1, 2, 3
2.9 Exercises: 1-13 odd, 17, (2), (4), (8), (10), (14), 17, (20)
Link to the author's solutions for exercises on Assignment # 8
Return to the top of this page.
Look at the home page for this course.
Test #2 - Friday, October 23
Study the objectives for Chapter 1 and Chapter 2 (through Section 2.9) in
Linear Algebra Course Objectives.
Study Practice Test #2.
This is a link to another sample test covering
material including Section 2.9.
Assignment #9 - Due on Friday, October 30
Up to the due date for the assignment, you are invited to place solutions to exercises identified with an asterisk on the board prior to class.
Read and work through Section 4.1
Practice Exercises (p. 222): 1, 2
4.1 Exercises: 1-13 odd, (4), (8) , 9*, (10), 13*, (14), (16), (18), 19*, (20),
(24), (26), 27*, (28), 32
Read and
work through Section 4.2.
Practice Exercises (p. 234): 1, 2
4.2 Exercises: 1-25 odd, (16), (24), (26), (32), (34)
Link to the some solutions for exercises on Assignment # 9
Assignment #10 - Due on Wednesday, November 4
Read and work through Section 4.3.
Practice Exercises (pp. 242-243): 1, 2, 3
4.3 Exercises: 1-15 odd, 19, (20), 21, (22), (26), (34)
Read and work through Section 4.4
Practice Exercises (p. 253): 1, 2
4.4 Exercises: (4), (8),(12), (14), (32)
Link to the some solutions for exercises on Assignment # 10
Assignment #11 - Due on Friday, November 6
Practice Exercises (p. 260): 1, 2
4.5 Exercises: 1-19 odd, (20)
Practice Exercises (p. 268): 1-4 all
4.6 Exercises: 1- 15 odd, (2), (27)
Practice Exercises (p. 275): 1, 2
4.7 Exercises: 1, (2), 7, (8), (14)
Link to the some solutions for exercises on Assignment # 11
Assignment #12 - Due on Wednesday, November 11
3.1 Exercises: (6), (22)
5.1 Exercises: (4), (10), (16)
5.2 Exercises: (4), (12), (18)
Link to the some solutions for exercises on Assignment # 12
Assignment #13 - Due on Friday, November 13
6.1 Exercises: 1, 7, 9, (10), 13, (14), (16), (18), (20), (28)
Link to the some solutions for exercises on Assignment # 13
Test #3 - Friday, November 20
Study the objectives for Chapter 3 (Section 3.1), Chapter 4 (Sections 4.1-4.7), Chapter 5 (Sections 5.1 and 5.2) and Chapter 6 (Sections 6.1 and 6.2) in Linear Algebra Course Objectives.
Link to a copy of Test #3 given in Fall '06. (This test only covered Chapter 4. Our Test #3 will also cover section 3.1 and Sections 5.1 and 5.2.)
Define: linearly independent, linear transformation, basis, vector space, subspace, kernel of a linear transformation, column space of a matrix
State: Spanning Set Theorem, Basis Theorem, The Rank Theorem
Link to sample solutions for Fall 2009's Test #3
Assignment #14 Due on Tuesday, December 1
6.2 Exercises: (8), (20)
5.3 Exercises: (2), (6), (14), (32)
Link to the some solutions for exercises on Assignment # 14
Assignment #15 Due on Wednesday, December 9
5.4 Exercises: (6), (10b), (14)
7.1 Exercises: (8), (16)
Link to the some solutions for exercises on Assignment # 15
Final Exam - Final Examination - Wednesday, December 16 10:45 am - 1:15 pm
Study course objectives 1.1.1 through 7.1.1. You may use a calculator on the final exam.
Study Test #1, Test #2, and Test #3. In addition to items like the ones on those tests, expect items similar to the following exercises:
Exercises 5.3: 1, 5, 7, 9; Exercises 5.4: 1, 3, 7, 9; Exercises 7.1: 9, 13, 17
There will be some True-False items selected from sections in the text that we have studied. You will not be expected to justify your answers. You should study the True-False exercises in the exercise sets.
Define: linearly independent, linear transformation, basis, vector space, subspace, kernel of a linear transformation, column space of a matrix, eigenvalue, eigenvector, similar matrices