MATH 310 –W01 Linear Algebra, 3-0-3
Fall Semester, 2014
Instructor : Dr. Jungho Park
E-mail : jpark10@nyit.edu
Office : Harry Schure Hall 113,
Telephone : 516-686-1095
Class meets : M, W 11:10 AM - 12:35 AM, AARH 308
Office Hours : M,W 01:00 – 02:00 PM(Math Center)
Webpage : http://iris.nyit.edu/~jpark10
T,TH 09:30 – 10:30 AM(Office)
Textbook:
Bernard Kolman, Elementary Linear Algebra, 9th Edition, Prentice-Hall, 2008, ISBN 0132296543
Pearson
Prerequisite: Math 180 or permission of instructor.
Prerequisite Knowledge:
Basic knowledge of solving linear system, dealing with sets and functions and of complex numbers
Description: matrices and systems of linear equations, vector spaces, change of base matrices, linear
transformations, determinants, eigenvalues and eigenvectors, canonical forms
Objectives:
1) To provide the necessary mathematical knowledge for majors in computer science to convert a
linear system of m equations in n unknowns into a matrix equation with m x n coefficient matrix,
and to solve the matrix equation by introducing properties of matrices and determinants.
2) To provide an abstract notion such as vector spaces.
Learning outcomes:
Upon successful completing of this course, students will be able to
1) Use Gaussian elimination to solve a system of m equations in n unknowns.
2) Find the inverse of a nonsingular matrix using Gauss Jordan reduction.
3) Decompose a nonsingular matrix into a product of elementary matrices.
4) Determine if a subset of a vector space V is a subspace by checking closure under addition and
scalar multiplication.
5) Find a basis for a subspace of Rn.
6) Determine if a set of vectors is linearly independent.
7) Write a vector in a dependent set T as a linear combination of the other vectors in T.
8) Determine if a set of vectors spans a given vector space V.
9) Given a basis S for a vector space V, write any vector in V as a linear combination of vectors in S.
10) Find the dimension of a vector space S.
11) Find a basis for a subspace of Rn.
12) Apply all vector space procedures to polynomial spaces, matrix spaces, column spaces and row
spaces.
13) Determine if a mapping between two vector spaces is a linear transformation by checking the
addition and scalar multiplication properties.
14) Find the kernel and range of a linear transformation.
15) Determine if a given linear transformation is one to one or onto.
16) Find the representation matrix for a given linear transformation relative to arbitrary bases for the
domain and codomain spaces.
17) Find the eigenvalues and corresponding eigenvectors of a square matrix A.
Calculator :
This course requires that each student own a graphing calculator. The department of Mathematics
strongly recommends the Texas Instrument model, TI-83 or TI-84. The calculator will be needed for
homework, quizzes and exams, including the final exam.
Attendance Policy:
Attending and being attentive in every class is crucial to your success in this course. A student absent
from class bears full responsibility for all material covered and announcements made in class. 6 or
more times of absences results in failure of the course regardless of his/her achievements.
- Prior to the end of the eighth week, a student may request a withdrawal with a grade of W.
- After the end of the eighth week a student may request a withdrawal with a grade of W only if the
student is passing the course at that time.
- After the end of the eighth week, for a student that is not passing, the withdrawal grade will be WF.
No Class:
Columbus Day-Monday, October 13
Thanksgiving Recess – November 26 thru November 29
Quizzes:
We will average one quiz every two weeks. There will also be some pop-up quizzes. Each quiz will
consist of a few problems based on information discussed during that class period as well as some
review. Over the semester I expect to give approximately 6 quizzes. The lowest quiz score will be
dropped. If you miss a quiz for any reason you will receive a zero. There will be no make-up quizzes.
Class Policies:
A. Academic Integrity and Honesty
Plagiarism is the appropriation of all or part of someone else's works (such as but not limited to
writing, coding, programs, images, etc.) and offering it as one's own. Cheating is using false pretenses,
tricks, devices, artifices or deception to obtain credit on an examination or in a college course. If a
faculty member determines that a student has committed academic dishonesty by plagiarism, cheating
or in any other manner, the faculty has the academic right to:
1) fail the student for the paper, assignment, project and/or exam, and/or
2) fail the student for the course, and/or
3) bring the student up on disciplinary charges pursuant to Article VI, Academic Conduct
Proceedings of the Student Code of Conduct.
B. Other Policies
1) No cell phones or other interruptions are allowed during class hours. (Visit the rest room before
class!)
2) No discussion is allowed.(You can ask questions to the instructor, if you have)
3) No laptop computers are allowed during class hours.
Exam Dates:
Exam 1:
Exam 2:
Final Exam:
Wednesday, October 15, in class
Monday, November 24, in class
Last week (12/15 – 12/19).
Exams 1 and 2 will be given during your regular class time and in your normal classroom. As indicated
above the Final will be given outside of the regular class meeting times. Locations for the Final exams will
be announced at a later date.
Make-up exams are given only in extenuating circumstances such as medical emergencies. If you have a
schedule conflict, please discuss it with your instructor as soon as possible.
Assessment:
Grades will be determined using the scores from the following assignments:
Quizzes
15%
Exam 1
25%
Exam 2
25%
Final Exam
35%
100%
Grade Scale:
Grades are computed using the standard scale:
95% and 90%
88%, 82%, and 80%
78%, 72%, and 70%
65% and 60%
Below 60%
for grades of A and Afor grades of B+, B, and Bfor grades of C+, C, and Cfor grades of D+ and D
is an F
Do not rely on a curve to be used on the exams. There will be a limited amount of extra credit
available to count towards your quiz averages. No additional extra credit will be available. Plan to
do all suggested exercise questions in the textbook to the best of your ability.
MATH 310 Fall 2014 Class Schedule
Week 1 :
09/03 – 09/06
Section 1.1
Week 2 :
09/08 – 09/13
Section 1.2, 1.3, 1.4, quiz 1
Week 3 :
09/15 – 09/20
Section 1.5, 2.1
Week 4 :
09/22 – 09/27
Section 2.2, 2.3, quiz 2
Week 5 :
09/29 – 10/04
Section 3.1
Week 6 :
10/06 – 10/11
Section 3.2, 3.3, 3.4 quiz 3
Week 7 :
10/13 – 10/18
Columbus Day, Exam 1
Week 8 :
10/20 – 10/25
Section 3.5, 4.1, 4.2
Week 9 :
10/27 – 11/01
Section 4.3, quiz 4
Week 10:
11/03 – 11/08
Section 4.4, 4.5
Week 11:
11/10 – 11/15
Section 4.6, 4.8 quiz 5
Week 12:
11/17 – 11/22
Section 4.9, 6.1
Week 13:
11/24 – 11/29
Exam 2, Thanksgiving Recess
Week 14:
12/01 – 12/06
Section 6.1, 6.2 quiz 6
Week 15:
12/08 – 12/13
Section 6.3, 7.1 Review for final exams
Week 16:
12/15 – 12/19
Final Exams
Suggested Exercises Questions
Section
Section
Section
Section
Section
1.1:1,2,3,5,7,15(a)(b),17(a)(b),19
1.2: 1,2(a),3(b),4,5,6,7,8,9,10,13
1.3: 1,5,7,9,11,13,15,17,19,21,24,30,31,33,34,43
1.4: 9,11,12,30(a,b)
1.5: 7,22,29,33,34,35,36,39,40,41
Section 2.1: 1(a),2(b),3(a),4(b),5(a),6(a),7(a),8(a)
Section 2.2: 5,7,9,19,21,23
Section 2.3: 7,8,11,12,16
Section
Section
Section
Section
3.1:
3.2:
3.3:
3.4:
3,9,11,12,13
3,4,5,7,9,17
1,3,5,11,12
3,7,9,11,12
Section
Section
Section
Section
Section
Section
Section
Section
4.1:
4.2:
4.3:
4.4:
4.5:
4.6:
4.8:
4.9:
3,5,7,9,12,13(a)(b),15,17,19
1,2,3,4,8,9,11,16
3,5,9,12,13,15,25
3(c)(d),5(c)(d),7(a)(b),8(a)(b),10,11,13
5,7,11,13,15,17
1,2,3,5,7,11,13,23,24,28,31
1,3,5,7,9,15
1,2,3,9,10,13,18,19,20,21,22,23
Section 6.1: 1,2,4,5,7,9,11,12,13,1
Section 6.2: 1,2,3,4,5,919
Section 6.3: 1,2,57,