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NJIT Academic Integrity CODE:  All Students should be aware that the Department of Mathematical Sciences takes the University Code on Academic Integrity at NJIT very seriously and enforces it strictly.  This means that there must not be any forms of plagiarism, i.e., copying of homework, class projects, or lab assignments, or any form of cheating in quizzes and exams.  Under the University Code on Academic Integrity, students are obligated to report any such activities to the Instructor.

 

 

Number of Credits:  3

 

Course Description:  Matrices, determinants, systems of linear equations, vector spaces, linear transformations, eigenvalues, eigenvectors, and related topics.

Prerequisites:  Math 112 with a grade of C or better or Math 133 with a grade of C or better. Matrices, determinants, systems of linear equations, vector spaces, linear transformations, eigenvalues, eigenvectors, and related topics. Effective From: Fall 2012

 

Textbook:  Linear Algebra and Its Applications (4rd Updated Ed.), by David C. Lay; 2012, Addison-Wesley, ISBN: 9780321385178 

Instructor:   (for specific course-related information, follow the link below)

 

Math 337-041	Prof. Ward
Math 337-141	Prof. Hunter

 

Grading Policy:  The final grade in this course will be determined as follows: 

▪ Homework, Quizzes & Projects:	30%
▪ Midterm Exams:	30%
▪ Final Exam:	40%

Your final letter grade will be based on the following tentative curve. This curve may be adjusted slightly at the end of the semester.  NOTE:  This course needs to be passed with a grade of C or better in order to proceed to Math 373, Math 391, Math 450H, Math 473, Math 475 or Math 477.

A	90-100	C	60-69
B+	85-89	D	50-59
B	75-84	F	0-49
C+	70-74

 

Drop Date:  Please note that the University Drop Date June 20, 2013 deadline will be strictly enforced.

Projects:  It is vital that you complete the required assignments by the specified dates.

Quiz Policy:  A short quiz based on the homework problems will be given.

Attendance: Students must attend all classes and recitations. Absences from class will inhibit your ability to fully participate in class discussions and problem solving sessions. Tardiness to class is very disruptive to the instructor and students and will not be tolerated. Students might be withdrawn from the class or receive an "F" because of absences. Attendance at all classes will be recorded and is mandatory. Please make sure you read and fully understand the Department’s Attendance Policy. This policy will be strictly enforced.

MATLAB:  MATLAB is a mathematical software program that is used throughout the science and engineering curricula. Several MATLAB assignments will be given out. These assignments have been designed to help you learn how to use this software in order to visualize many of the concepts taught in class.

Exams:  There will be one common midterm exam during the semester and one common final exam during the final exam week. Exams are held on the following days:

Midterm:	June 19, 2013
Final Exam:	July 10, 2013

Day sections will have common examinations on the above listed dates from 4:15pm to 5:40pm and evening sections from 5:45pm to 7:10pm. A comprehensive final examination will be given at the end of the semester. The date for this final examination will be announced at the end of the semester. Make sure you read and fully understand the department's Examination Policy. This policy will be strictly enforced. Please note that calculators, cellular phones, beepers, and all other electronic devices may not be used during any exam.

Makeup Exam Policy:  There will be No make-up EXAMS during the semester. In the event the Final Exam is not taken, under rare circumstances where the student has a legitimate reason for missing the final exam, a makeup exam will be administered by the math department. In any case the student must notify the Math Department Office and the Instructor that the exam will be missed and present written verifiable proof of the reason for missing the exam, e.g., a doctors note, police report, court notice, etc., clearly stating the date AND time of the mitigating problem.

Further Assistance:  For further questions, students should contact their Instructor. All Instructors have regular office hours during the week. These office hours are listed at the link above by clicking on the Instructor’s name. Teaching Assistants are also available in the math learning center.

Cellular Phones:  All cellular phones and beepers must be switched off during all class times.

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MATH DEPARTMENT CLASS POLICIES LINK 

All DMS students must familiarize themselves with and adhere to the Department of Mathematical Sciences Course Policies, in addition to official university-wide policies. DMS takes these policies very seriously and enforces them strictly. For DMS Course Policies, please click here.

May 28, 2013	T	Full Summer Session Begins
May 30, 2013	R	Last Day To Register For Full Semester Course
May 27, 2013	M	Memorial Day ~ University Closed
June 20, 2013	R	Last Day To Withdraw  from  this Course
July 4, 2013	R	July 4th Holiday ~ University Closed
July  18, 2013	R	Final Exam

 

Course Outline and Homework Assignments:

 

Week Dates	Section & Topic		Homework Assignments
Week 1 5/29 - 5/30	1.1 1.2	Systems of Linear Equations (brief) Row Reduction and Echelon Forms	1.1 1.2	2, 4, 10, 15, 18, 24, 29 2, 4, 8, 11, 13, 18, 20
	1.3 1.4 1.5	Vector Equations (brief) Matrix Equations (brief) Solutions of Linear Systems	1.3 1.4 1.5	2, 5, 9, 11, 13, 16, 24 2, 4, 5, 9, 17 1, 4, 6, 8, 11, 17, 23
Week 2 6/3 – 6/6	1.6 1.7 1.8 1.9 2.1	Application to Chemistry (brief) Linear Independence Introduction to Linear Transformations Matrix of a Linear Transformation Matrix Operations	1.6 1.7 1.8 1.9 2.1	5, 7, 8 1, 4, 6, 7, 14, 16, 31 2, 4, 7, 9, 13, 16 4, 8, 15, 18, 22 4, 7, 9, 16, 23
Week 3 6/10 – 6/13	2.2 2.3	Inverse of a Matrix Invertible Matrices	2.2 2.3	3, 6, 9, 26, 29, 32 2, 6, 9, 11, 13, 14, 41
Week 4 6/17 – 6/20	2.5 2.7 3.1	LU Factorization Application (brief) Introduction to Determinants	2.5 3.1	2, 4, 5, 8, 11, 15, 17 3, 8, 9, 12, 22, 24, 25, 28
	3.2	Properties of Determinants	3.2	1, 4, 6, 9, 21, 22, 25, 26
		REVIEW MIDTERM
	3.3	Cramer’s Rule	3.3	2, 5, 8, 11, 16
	4.1	Vector Spaces and Subspaces	4.1	8, 24, 30, 38, 46
Week 5 6/24 – 6/27	4.2	Null and Column Spaces, Linear Maps	4.2	2, 4, 14, 20, 24
	4.3 4.5 4.6 5.1	Linearly Independent Sets and Bases Dimension of a Vector Space Rank Eigenvalues and Eigenvectors	4.3 4.5 4.6 5.1	4, 5, 10, 14, 15, 21 2, 4, 5, 9, 13, 15, 18 1, 2, 5, 9, 13, 17, 18 3, 7, 9, 13, 15, 17, 20
Week 6 7/1 – 7/30	5.2	The Characteristic Equation	5.2	4, 7, 9, 13, 15, 16, 20, 21
	5.3 5.5	Diagonalization Complex Eigenvalues	5.3 5.5	2, 4, 6, 7, 8, 12, 17, 21 4, 5, 13, 14
	└►	INDEPENDENCE DAY (Observed) ~ UNIVERSITY CLOSED
	6.1	Inner Product, Length, and Orthogonality (brief)	6.1	1, 8, 10, 12, 14, 15, 16, 20
Week 7 7/8 – 7/11	6.2	Orthogonal Sets	6.2	1, 4, 8, 12, 16, 17, 20, 23
	6.4 6.7	Gram-Schmidt Process Inner Product Spaces	6.4 6.7	1, 4, 8, 9, 12 1, 2, 4, 6, 8
	7.1	Diagonalization of Symmetric Matrices	7.1	1-6, 7-10, 14, 17, 22, 26
Week 8 7/15 – 7/18	7.2	Quadratic Forms	7.2	2, 5, 7, 10, 13, 21
	└►	REVIEW FOR FINAL EXAM	└►	STUDY FOR FINAL EXAM
Final	FINAL EXAM:  THURSDAY ~ JULY 18, 2013

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Prepared By:  Prof. John Hunter

Last revised:  May 13, 2013