Math 511: Linear Algebra

Class Meeting Details:

Section 11500 Time: 11:00-12:15 Days: Mondays and Wednesdays Room: Wallace Hall (WH) 209

Section 12636 Time: 9:30-10:45 Days: Tuesdays and Thursdays Room: Wallace Hall (WH) 209

Instructor Information:
Instructor: Justin M. Ryan
Office: Jabara Building (JB) 333
Phone: (316) 978 - 3958
Email: ryan@math.wichita.edu
Slack (preferred method): geometerjustin.slack.com (Click this link to sign up)
Webpage: http://geometerjustin.com
Office Hours: Mondays 9:30-10:30 and 3:00-4:00, and by appointment

Basic Course Information

Prerequisites:
MATH 243 with a grade point of 2.0 or better.


Course Description:
An elementary study of linear algebra, including an examination of linear transformations and matrices over finite-dimensional vector spaces.


Required Resources:
The main reference for this course is:
Book:Linear Algebra with Applications by Steven J. Leon, Ninth Edition. Published by Prentice Hall.


Supplies:
A three-ring binder is suggested, as well as a hole-punch, which is to be "used relentlessly," as stated in the New York Times. It is also recommended that students bring pens in various colors, in order to replicate what is on the board. In general, students will not need to bring the book or the binder to class. It should be used to organize the materials and hand-outs that are distributed in class, as well as the students' notes.


Class Protocol:
Attendance is required, but will not be factored into students' grades. If students are not present, they will not be able to complete the activities that correspond to that day's discussion and work in class. Students are asked to be on time, and to notify the instructor if they will be absent. They are asked to observe common norms of civility in class and in interactions with the instructor and with classmates outside of class.

Detailed Course Information

Course Content:
This course will cover all of Chapters 1-6 of the required text listed above.


Assignments and Coursework:
The coursework for this class will be divided into three categories.

Weekly Assignments (10%):
Weekly assignments will be collected, and a selection of the problems will be graded. Late assignments will not be accepted, and corrections will not be allowed.

Midterm Exams (60%):
There will be six (6) 50-minute exams throughout the semester: one for each chapter of the book that we cover in class. There will be no make-ups, except in extreme, documented, circumstances. The lowest exam score will be dropped.

Comprehensive Final Exam (30%):
The final exam will cover material from the entire semester. The final exam must be taken during the scheduled final exam period determined by the university.


Grading:
Students' final letter grades will be calculated according to the following table. Final percentage grades will not be rounded up, and there will be no extra credit.

Letter Grade	Numerical Percentage	Grade Points	Comments
A	90 - 100	4.0	The A range denotes excellent performance
A-	88 - 89.99	3.7
B+	86 - 87.99	3.3
B	80 - 85.99	3.0	The B range denotes good performance
B-	78 - 79.99	2.7
C+	76 - 77.99	2.3
C	68 - 75.99	2.0	The C range denotes satisfactory performance
D	60 - 67.99	1.0	The D range denotes unsatisfactory performance
F	< 60	0.0	The F range denotes failing performance

Measurable Student Learning Outcomes

Upon successful completion of this course, students will be able to:

(a)  Apply row operations of matrices to solve linear systems and calculate the value of a determinant. (b)  Analyze the structure of a finite dimensional vector space. (c)  Verify, represent and use linear transformations in appropriate setting. (d)  Apply matrices in calculation. (e)  Analyze the structure of inner product space. (f)  Apply eigenvalues and eigenvectors to solve system of differential equations. (g)  Prove some basic theorems on the structure of finite-dimensioal vector spaces.

Learning Outcomes For Chapter One:
Student will (a) perform the row and column operations for a matrix; (b) solve linear systems by reducing the augmented matrix to reduced echelon form; (c) do basic algebraic operations on matrices; (d) analyze the relation between row operations and elementary matrix multiplication; (e) do algebraic operations on partitioned matrices.

Learning Outcomes For Chapter Two:
Student will (a) compute a determinant by row or column operations; (b) analyze the basic properties of determinants; (c) use Cramer’s rule to solve a linear system; (d) use the determinant to check if a square matrix is non-singular.

Learning Outcomes For Chapter Three:
Student will (a) verify if a set with an addition and scalar multiplication is a vector space; (b) verify if a subset of a vector space is subspace; (c) verify if a set of vectors are linearly dependent or independent; (d) find a basis and dimension of a vector space; (e) find the transition matrix from one basis to another; (f) find the coordinate vector of a vector relative to a basis and change the coordinates under different bases; (g) find a basis and the dimension for the row space, column space and null space of a matrix.

Learning Outcomes For Chapter Four:
Student will (a) verify if a mapping is a linear transformation; (b) represent a linear transform with respect to different choices of basis in the domain space and image space; (c) analyze the relationship between the matrices representing the same linear transformation under different bases.

Learning Outcomes For Chapter Five:
Student will (a) analyze the basic properties of scalar products in n-dimensional space, use scalar product to find out when two vectors are orthogonal, and calculate the vector projection of one vector onto another; (b) verify when two subspace are orthogonal and analyze the orthogonal relation between the null space, the rang of a matrix and the range of the transpose of a matrix; (c) solve a least square problem; (d) analyze the structure and properties of an inner product space and a normed space; (e) analyze the properties of orthonormal sets and orthogonal matrices; (f) use the Gram-Schmidt process to find an orthonormal sets from a set of linearly independent vectors.

Learning Outcomes For Chapter Six:
Student will (a) find eigenvalues and eigenvectors of a square matrix; (b) analyze the structure of solution space of a system of linear first order homogeneous differential equations and solve a system of first order linear homogeneous differential equations with constant coefficients when the coefficient matrix has enough linearly independent eigenvectors; (c) diagonalize a square matrix and use the process to solve a system of first order linear differential equations with constant coefficients.

University Policies and Procedures

Academic Honesty:
Students are responsible for knowing and following the Student Code of Conduct and the Student Academic Honesty policy.


Definition of a Credit Hour:
Success in this five-credit-hour course is based on the expectation that students will spend, for each unit of credit, a minimum of seventy-five hours over the length of the course (normally three hours per unit per week, with one of the hours used for lecture) for instruction and preparation/studying or course related activities for a total of 225 hours. Read this to learn about the policy and examples of different types of courses and credit hour offerings.


Important Academic Dates:
Wichita State University's full academic calender can be found here.


Disabilities:
If you have a physical, psychiatric/emotional, or learning disability that may impact on your ability to carry out assigned course work, I encourage you to contact the Office of Disability Services (DS). The office is located in Grace Wilkie Annex, Room 150, 316-978-3309 (voice/tty) and 316-854-3032 (videophone). DS will review your concerns and determine, with you, what academic accommodations are necessary and appropriate for you. All information and documentation of your disability is confidential and will not be released by DS without your written permission.


Title IX:
Title IX of the Educational Amendments of 1972 prohibits discrimination based on sex in any educational institution that receives federal funding. Wichita State University does not tolerate sex discrimination of any kind including: sexual misconduct; sexual harassment; relationship/sexual violence and stalking. These incidents may interfere with or limit an individuals ability to benefit from or participate in the Universitys educational programs or activities. Students are asked to immediately report incidents to the University Police Department, (316) 978-3450 or the Title IX Coordinator (316) 978-5177. Students may also report incidents to an instructor, faculty or staff member, who are required by law to notify the Title IX Coordinator. If a student wishes to keep the information confidential, the student may speak with staff members of the Counseling and Testing Center (316) 978-3440 or Student Health Services (316)978-3620. For more information about Title IX, click here.


Counseling and Testing:
The Wichita State University Counseling and Testing Center provides professional counseling services to students, faculty, and staff; administers tests and offers test preparation workshops; and presents programs on topics promoting personal and professional growth. Services are low cost and confidential. They are located in Room 320 of Grace Wilkie Hall, and their phone number is 316-978-3440. The Counseling and Testing Center is open on all days that the university is officially open. If you have a mental health emergency during the times that the Couseling and Testing Center is not open, please call COMCARE Crisis Services at 316-660-7500.


Diversity and Inclusion:
Wichita State University is committed to being an inclusive campus that reflects the evolving diversity of society. To further this goal, WSU does not discriminate in its programs and activities on the basis of race, religion, color, national origin, gender, age, sexual orientation, gender identity, gender expression, marital status, political affiliation, status as veteran, genetic information or disability. The following person has been designated to handle inquiries regarding non-discrimination policies: Executive Director, Office of Equal Employment Opportunity, Wichita State University, 1845 Fairmount, Wichita, KS, 67260-0138; telephone 316-978-3186.


Intellectual Property:
Wichita State University students are subject to Board of Regents and University policies regarding intellectual property rights. Any questions regarding these rights and any disputes that arise under these policies will be resolved by the President of the University, or the President's designee, and such decision will constitute the final decision.


Shocker Alert System:
Get the emergency information you need instantly and effortlessly! With the Shocker Alert System, we will contact you by e-mail the moment there is an emergency or weather alert that affects the campus. Sign up at the Shocker Alert web page.


Concealed Carry Policy:
The Kansas Legislature has legalized concealed carry on public university campuses. Guns must be out of view, concealed either on the body of the carrier, or backpack, purse or bag that remains under the immediate control of the carrier. Gun owners must familiarize themselves with WSU’s Concealed Carry Policy and the Kansas Board of Regent’s policy. If you believe that there has been a violation of this policy, please contact the University Police Department at 316 978-3450.

Instructor Specific Policies

Slack Policy:
Slack is free group collaboration software that allows students to chat instantly with the instructor and/or fellow students in their class. There are apps available for all desktop and mobile operating systems.

While Slack is private software, students are expected to obey all norms of conduct described in this syllabus. This includes, but is not limited to, refraining from any kind of abuse of other students, or the instructor. Any violations of this policy will be subject to disciplinary action by the University.

Tentative Course Schedule

The table below outlines a tentative schedule for this semester. While the sections of the book covered each week may change, the exam dates are fixed. Students should note these dates and notify the instructor of any conflicts as soon as possible.

Week		Dates		Content
1		21-25 Aug		Introduction; Chapter 1
2		28 Aug - 1 Sep		Chapter 1
3		4-8 Sep		Chapters 1 and 2 NO CLASS: Monday, 4 Sep (Labor Day)
4		11-15 Sep		Chapter 2 EXAM 1: Chapter 1
5		18-22 Sep		Chapter 2
6		25-29 Sep		Chapters 2 and 3 EXAM 2: Chapter 2
7		2-6 Oct		Chapter 3
8		9-13 Oct		Chapter 3 EXAM 3: Chapter 3
9		16-20 Oct		Chapter 4 NO CLASS: Monday-Tuesday, 16-17 Oct (Fall Recess)
10		23-27 Oct		Chapter 4
11		30 Oct - 3 Nov		Chapters 4 and 5 EXAM 4: Chapter 4
12		6-10 Nov		Chapter 5
13		13-17 Nov		Chapters 5 and 6
14		20-24 Nov		EXAM 5: Chapter 5 NO CLASS: Wednesday-Friday, 22-24 Nov (Thanksgiving Break)
15		27 Nov - 1 Dec		Chapter 6
16		4-8 Dec		Chapter 6 EXAM 6: Chapter 6
				Final Exam:
11550 12636		M 11 Dec T   12 Dec		11:00-12:50 in WH 209    9:00-10:50 in WH 209