MA 322
Matrix Algebra, Fall 2018
MWF 9:00 -9:50 CB 214
1 Instructor
Richard Carey
Office: POT 965
E-Mail richard.carey@.uky.edu
Phone: (859) 257-3745
Office Hours: MW 2:30-3:30 and by appt.
TA
Brian Davis
E-Mail Brian.Davis@uky.edu
Math House
2 Course Goals
The course is an introduction to the study of simultaneous linear equations in several variables. For example, the description of the tangent space to an n-dimensional surface sitting in n + r - dimensional Euclidean space is recognized as an n-dimensional vector subspace. A handy overview is presented in Linear Algebra-Wikipedia.
Recall that in Calculus 3 one started with the coordinatization of three dimensional space via Cartesian coordinates; then began the algebraization of geometry with the introduction of vectors - directed line segments. Geometric operations on line segments were interpreted as algebraic operations on vectors to give an algebra for vectors in both the plane and three dimensional spaces. Not only does this include addition and multiplication by scalar quantities, it also provides two different types of multiplication - the dot and cross products. These products are geometrically defined and Calculus 3 spent some time applying vector algebra to the geometry of three dimensions. Now we begin a more unified theory which allows us to go to dimensions higher than 3.You shall see how matrix algebra is used to calculate with functions of more than one variable - a version of higher order arithmetic. For example, the derivative of a function from the plane to 3-space is properly regarded as a linear transformation which can be represented by a 3 by 2 matrix ( with 3 rows and 2 columns).Matrices can be added, subtracted, multiplied by scalars; compatible matrices may also be multiplied.
Recall that in Calculus 3 one started with the coordinatization of three dimensional space via Cartesian coordinates; then began the algebraization of geometry with the introduction of vectors - directed line segments. Geometric operations on line segments were interpreted as algebraic operations on vectors to give an algebra for vectors in both the plane and three dimensional spaces. Not only does this include addition and multiplication by scalar quantities, it also provides two different types of multiplication - the dot and cross products. These products are geometrically defined and Calculus 3 spent some time applying vector algebra to the geometry of three dimensions. Now we begin a more unified theory which allows us to go to dimensions higher than 3.You shall see how matrix algebra is used to calculate with functions of more than one variable - a version of higher order arithmetic. For example, the derivative of a function from the plane to 3-space is properly regarded as a linear transformation which can be represented by a 3 by 2 matrix ( with 3 rows and 2 columns).Matrices can be added, subtracted, multiplied by scalars; compatible matrices may also be multiplied.
3 Text
Linear Algebra and Its Applications, Fifth Edition | ISBN-13: 9780321982384
Author(s): David C. Lay; Steven R. Lay; Judi J. Mcdonald
Author(s): David C. Lay; Steven R. Lay; Judi J. Mcdonald
4 Grading
Your grade for the course will be based on two exams during the semester, a final exam, and quizzes. Each of the four components will count toward your grade. The term exams will count 100 pts each and the final 150 pts. Quizzes count 100.
5 Quizzes: (100 points) There will be weekly in- class quiz problems. I will give a selection of these problems prior to the time of the quiz.Your course score will be the sum of your test, and quiz scores.
6 Attendance Policy:
Grading for the course will be influenced by class attendance. You
will be allowed 4 unexcused absences; for every missed class after that you will lose 10 points on your final grade .
Students are expected to attend each class meeting unless he or she has been excused by the instructor. Failure to attend class will result in a lower grade, and may result in failing the class. Absence due to illness or emergencies must be reported within a week. You may call the instructor’s office or email him at the numbers/address listed on the first page of this syllabus. When there is an excused absence, students will be given the opportunity to make up missed work and/or exams.
The following are typically accepted reasons for excused absences:
1. Serious illness.
2. Illness or death of a family member.
3. Approved University-related trips.
4. Major religious holidays.
5. Other circumstances found to be "reasonable cause for nonattendance.”
It is important to take each exam on schedule. Missed work may be made up only due to illness with medical documentation or for other unusual (documented) circumstances. Students who have university excused absences or who have university-scheduled class conflicts with uniform examinations may arrange with their instructor to take the exam at an alternate time. Work-related conflicts are neither university excused absences or university-scheduled absences. If you miss an exam, you receive a zero. You will be eligible for a make-up only if you present a valid excuse to me before the exam. If you cannot find a reasonable arrangement for a make-up, contact the department DUS Alberto Corso. Students anticipating an absence for a major religious holiday are responsible for notifying the instructor in writing of anticipated absences due to their observance of such holidays no later than the last day for adding a class. Information regarding dates of major religious holidays may be obtained through the the religious liaison.
Cheating will not be tolerated, and you are responsible for knowing University policy on cheating. The University’s minimum policy for cheating is failure in the course. (Yes, the chair of the department does spend time each semester prosecuting students who thought they’d never get caught!) Cheating can lead to expulsion from the university. For a complete description of University policies on excused absences, cheating, and student responsibilities see UK's New Academic Offenses Policy can be found at
For instance, Senate Rule 6.4.11 states:
The minimum penalty for an academic offense is an E in the course in which the offense took place. The repeat option may not be used to remove an E given for an academic offense. If a prior academic offense has been recorded in the Registrar’s Office, the minimum penalty shall be suspension for one semester (or a
minimum of four months in those colleges in the Medical Center where the semester system is not in use. Penalties more severe than the minimum may be imposed where warranted by the circumstances.
minimum of four months in those colleges in the Medical Center where the semester system is not in use. Penalties more severe than the minimum may be imposed where warranted by the circumstances.
Our class is a cell phone-free zone. Cell phones must be off & out of sight for the entire class period.
9 Additional Course Policies
- Course policy of academic accommodations due to disability: If you have a documented disability that requires academic accommodations, please see me as soon as possible during scheduled office hours. In order to receive accommodations in this course, you must provide me with a Letter of Accommodation from the Disability Resource Center 4th Floor of the Multidisciplinary Science Building on the corner of Rose Street and Huguelet Drive. The precise address is: 725 Rose Street, Multidisciplinary Science Building, Suite 407 Lexington, KY 40536-0082
, 257-2754, email address jkarnes@email.uky.edu) for coordination of campus disability services available to students with disabilities. - Make-up opportunities: The instructor shall give the student an opportunity to make up the work and/or the exam missed during an excused absence... implies the student shall not be penalized for the excused absence.
- Verification of Absences: Students missing work due to an excused absence bear the responsibility of informing the instructor about their excused absence within one week following the period of the excused absence (except where prior notification is required) and of making up the missed work.
- Course policy for submission of assignments: Students shall return all assignments on the due date. No late assignments shall be accepted without an excused absence.
- Course policy on academic integrity: All assignments, projects, and exercises completed by students for this class should be the product of the personal efforts of the individual(s) whose name(s) appear on the corresponding assignment. Misrepresenting others work as ones own in the form of cheating or plagiarism is unethical and will lead to those penalties outlined in the University Senate Rules (6.3.1 & 6.3.2) at the following website: http://www.uky.edu/USC/New/rules_regulations/index.htm. The Ombud site also has information on plagiarism found at http://www.uky.edu/Ombud.
- Course policy on classroom civility and decorum: The university, college and department has a commitment to respect the dignity of all and to value differences among members of our academic community. There exists the role of discussion and debate in academic discovery and the right of all to respectfully disagree from time to time. Students clearly have the right to take reasoned exception and to voice opinions contrary to those offered by the instructor and/or other students (S.R. 6.1.2). Equally, a faculty member has the right - and the responsibility - to ensure that all academic discourse occurs in a context characterized by respect and civility. Obviously, the accepted level of civility would not include attacks of a personal nature or statements denigrating another on the basis of race, sex, religion, sexual orientation, age, national/regional origin or other such irrelevant factors.
Calendar for Ma 322 sec. 004 Fall 2018. The contents may be changed as needed.- 1:00 PM
122-Aug1.1124-Aug1.2Daily quiz1
227-Aug1.3229-Aug1.4Daily quiz231-Aug1.5Daily quiz2335-Sep1.7Daily quiz437-Sep1.8Daily quiz5
410-Sep1.9Daily quiz412-SepReviewDaily quiz414-Sep2.1, 2.2Daily quiz678
517-Sep2.2, 2.3Daily quiz519-SepReview521-SepReview9
624-Sep3.1, 3.2Daily quiz626-Sep3.3Daily quiz628-SepReview10
71-OctExam 1 in class or Evening TBA73-Oct4.175-Oct4.2Daily quiz1112
88-Oct4.3Daily quiz810-Oct4.5, 4.6Daily quiz812-Oct4.7Daily quiz131415
915-OctReviewDaily quiz917-Oct5.1Daily quiz919-Oct5.2Daily quiz1617181022-Oct5.3Daily quiz191024-OctReviewDaily quiz201026-OctReviewDaily quiz211129-Oct5.4Daily quiz221131-Oct5.5Daily quiz23112-NovReview125-NovExam 2 in class or Evening TBA127-Nov5.6Daily quiz24129-Nov5.7Daily quiz251312-NovReview1314-Nov6.1Daily quiz261316-Nov6.2Daily quiz271419-Nov21-NovThanksgiving23-NovHoliday1526-Nov6.3Daily quiz281528-Nov6.4Daily quiz291530-Nov6.5Daily quiz30163-Dec6.7Daily quiz31165-DecReview167-DecReview
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