M 340L MATRICES AND MATRIX CALCULATIONS FIRST DAY HANDOUT Fall 2015, Unique # 53395, MWF 11:00 am to 12:00 noon, ETC 2.108 Instructor: Kanthimathi Sathasivan, Ph.D. Course Website: https://canvas.utexas.edu/ Required Text: David C. Lay, Linear Algebra and its Applications, 4th ed. Course Description: The goal of M340L is to present the many uses of matrices and the many techniques and concepts needed in such uses. The emphasis is on concrete concepts and understanding and using techniques, rather than on learning proofs and abstractions. The course is designed for applications-oriented students such as those in the natural and social sciences, engineering, and business. Topics might include matrix operations, systems of linear equations, introductory vector-space concepts (e.g., linear dependence and independence, basis, dimension), determinants, introductory concepts of eigensystems, introductory linear programming, and least square problems. Prerequisite and degree relevance: The prerequisite is one semester of calculus (either M408C, M408K, or M408N) with grade of at least C-, or consent of instructor. Only one of M341 and M340L may be counted. Background: M341 (Linear Algebra and Matrix Theory) and M340L (Matrices and Matrix Calculations) cover similar material. However, the emphasis in M340L is much more on calculational techniques and applications, rather than abstraction and proof. (M341 is the preferred linear algebra course for math majors and contains a substantial introduction to proof component.) Credit cannot be received for both M341 and M340L. GRADING: Final grade for the course will be determined using three midterm tests worth 20% each, final exam worth 30%, and homework and quizzes worth 10%. Minimum score needed for the + and letter grades are given in the table below. Percent 93% 90% 87% 83% 80% 77% 73% 70% 67% 63% 60% Grade A A- B+ B B- C+ C C- D+ D D- TESTS (60%): The three midterm tests will be given during your regular class period. There will not be any makeup or rescheduled tests for any reason. Tentative test dates and chapters covered are September 28th (Chapters 1 and 2), October 23rd (Chapters 3 and 4), and November 20th (Chapters 6 and 7). Prior to each midterm, I will announce in class information about the midterm. Tests will be returned in class. If you have grading questions you need to return the test to me right away and I will hold on to your test until you come and talk to me in my office. Any questions concerning the grading must be addressed within one week after papers are returned in class. You can replace your lowest test grade with the final exam grade if your final exam grade is higher than your lowest grade. If you must miss a test, your final exam grade
will be counted for that test. That is your final exam grade will count as 50% of your grade which is very risky in case you have a low score. (Warning: The final exam is comprehensive and students find it harder to study for the final exam than their tests. Test 1 may be much easier than the final exam.) FINAL EXAM (30%): Final exam is mandatory and it will be given on Saturday, the 12th of December from 7 pm to 10 pm. The location will be announced during the last week of classes. The final exam will be comprehensive. HOMEWORK and QUIZZES (10%): Homework will be assigned over the lecture. Homework will be posted on canvas. It will be easier to do the homework if you collaborate with another student or do it in a group. Get some contact information from your classmates. You are encouraged to discuss homework assignments with your peers but you are expected to keep a homework notebook of your own work. Always provide the reason and enough work to check the validity of your solution. Few problems from your assigned homework will be collected and graded. Assignments are due at the beginning of class on the due date and WILL NOT BE ACCEPTED LATE OR EARLY FOR ANY REASON. Do not send your assignment electronically through email. It will not be accepted. Use smooth edged paper to do the homework. If you tear off paper from your notebook, make sure you cut the edges. You should staple your homework papers before class, fold in the middle with page 1 inside and PRINT your full name, EID, homework number, and M 340L 11 am - Dr. Satha, on the inside right top and outside right top. There may be quizzes in class on the material covered before or discussed in the lecture. Two lowest grades in this category will be dropped and that will accommodate students who must miss a class or homework due to any reason. LECTURE: We will cover a fair amount of material from Chapters 1 to 7. We will not cover all sections. There is a wealth of examples in the text. The instructor has time to present only some of them. That does not prevent you from going over them by yourself. The material covered in roughly the second half of this course is more difficult than the material in the earlier chapters. ATTENDANCE: I expect you to be committed to attend all classes and to be on time. If you must miss class (unavoidable), you should get the notes from a classmate. The material covered in class and the homework problems assigned will give you an idea of the level of difficulty considered in this class. The material becomes difficult after chapter 3 and do not underestimate the class using the first three chapters or your first test grade. ELECTRONIC DEVICES: All cell phones and other electronic devices (e.g. laptop, ipod, ipad) must be turned completely off and put away during class and exams. Using these devices or reading newspapers or sleeping during class is a distraction to the faculty and to your fellow classmates and they don t like it.
OTHER INFORMATION Students with disabilities: The University of Texas provides upon request appropriate academic accommodations for qualified students with disabilities. For more information, contact the Office of the Dean of Students at 471-6259, 471-6441 TTY, http://www.utexas.edu/diversity/ddce/ssd/. If you qualify under the University s Learning Disability Policy, your letter from the Dean will take effect after it is presented to your instructor. Academic dishonesty: You are encouraged to discuss homework assignments with your peers but you are expected to submit your own work. During tests you are expected to keep your eyes only on your test. Students who violate these expectations can expect to receive a failing grade on the test or the course and be reported to the Dean of Students office for academic dishonesty. These types of violations are reported to professional schools, should you ever decide to apply one day. Don t do it it s not worth the consequences. Plagiarism includes, but is not limited to, the appropriation of, buying, receiving as a gift, or obtaining by any means material that is attributable in whole or in part to another source, including words, ideas, illustrations, structure, computer code, and other expression or media, and presenting that material as one s own academic work being offered for credit or in conjunction with a program course requirement. University Code of Conduct: The core values of the University of Texas at Austin are learning, discovery, freedom, leadership, individual opportunity, and responsibility. Each member of the University is expected to uphold these values through integrity, honesty, trust, fairness, and respect toward peers and community. http://catalog.utexas.edu/general-information/the-university/#universitycodeofconduct) Religious holidays: By UT Austin policy, you must notify me of your pending absence at least fourteen days prior to the date of observance of a religious holy day. If you must miss a class, a test, a homework assignment in order to observe a religious holy day, you will be given an opportunity to complete the missed work within a reasonable time after the absence. Email: If you must email me include M 340L, class time and the brief reason for the email on subject line. Always include your full name, EID and what you want to communicate in the body of the email. If you send email from Blackboard class information is automatically included. Before emailing, check if the information you are looking for is available on blackboard, or classwork (e.g. due dates, homework, etc). I will answer your email only if it is necessary (determined by me). Please wait for at least 24 hours or the weekend before you send me a reminder. Computer Lab: The 40 seats undergrad computer lab, RLM 7.122, is open to all students enrolled in Math courses. Students can sign up for an individual account themselves in the computer lab using their UT EID. The computers have most of the mainstream commercial math software: mathematica, maple, matlab, magma, and an asortment of open source programs.
Counselling and Mental Health Center Student Services Bldg (SSB), 5th Floor Hours: M--F 8am--5pm 512 471 3515 www.cmhc.utexas.edu Emergency evacuation procedure from the Office of Campus Safety and Security: 512-471-5767, http://www.utexas.edu/safety/ : 1. Occupants of buildings on The University of Texas at Austin campus are required to evacuate buildings when a fire alarm is activated. Alarm activation or announcement requires exiting and assembling outside. 2. Familiarize yourself with all exit doors of each classroom and building you may occupy. Remember that the nearest exit door may not be the one you used when entering the building. 3. Students requiring assistance in evacuation shall inform their instructor in writing during the first week of class. 4. In the event of an evacuation, follow the instruction of faculty or class instructors. 5. Do not re-enter a building unless given instructions by the following: Austin Fire Department, The University of Texas at Austin Police Department, or Fire Prevention Services office. 6. Behavior Concerns Advice Line (BCAL): 512-232-5050. 7. A link to information regarding emergency evacuation routes and emergency procedures can be found at: www.utexas.edu/emergency IMPORTANT DATES August 31, Monday: Last day of the official add/drop period; after this date, changes in registration require the approval of the department chair and usually the student s dean. (See General Information, chapter 4, for details.) Last day undergraduate students may register and pay tuition without the approval of the registrar. September 11, Friday: Twelfth class day; this is the date the official enrollment count is taken. Last day an undergraduate student may add a class except for rare and extenuating circumstances. November 3, Tuesday: Last day an undergraduate student may, with the dean s approval, withdraw from the University or drop a class except for urgent and substantiated, nonacademic reasons. Last day an undergraduate student may change registration in a class to or from the pass/fail basis.
DEADLINES FOR DROPPING A COURSE: If you drop a class on or before September 11, the class will not show up on your transcript. If you drop a class after that date, the course will show up on the transcript with a Q grade. After November 3, it is not possible to drop a course except for extenuating (usually non-academic) circumstances. TENTATIVE SCHEDULE M 340L Fall 2015 (Textbook: Linear Algebra and its Applications, 4th ed. by David C. Lay) Class Date Day Chapter Topic 1 Aug 26 Wed 1.1 Systems of Linear Equations 2 Aug 28 Fri 1.2 Row reduction and Echelon Forms 3 Aug 31 Mon 1.3 Vector Equations 4 Sep 2 Wed 1.4 The Matrix Equation 5 Sep 4 Fri 1.5 Solution Sets of Linear Systems 6 Sep 9 Wed 1.6 Applications of Linear Systems 7 Sep 11 Fri 1.7 Linear Independence 8 Sep 14 Mon 1.8 Linear transformations 9 Sep 16 Wed 2.1 Matrix Operations 10 Sep 18 Fri 2.2 Inverse of a Matrix 11 Sep 21 Mon 2.3 Characterization of Invertible Matrices 12 Sep 23 Wed 2.6 The Leontief Input-Output Models 13 Sep 25 Fri Review Chapters 1 and 2 14 Sep 28 Mon Test 1 Chapters 1 and 2 15 Sep 30 Wed 3.1 Introduction to Determinants 16 Oct 2 Fri 3.2 Properties of Determinants 17 Oct 5 Mon 3.3 Cramer s Rule 18 Oct 7 Wed 4.1 Vector Spaces and Subspaces 19 Oct 9 Fri 4.2 Null Spaces, Column Spaces and Linear Transformations 20 Oct 12 Mon 4.3 Linearly Independent Sets: Bases 21 Oct 14 Wed 4.4 Coordinate Systems 22 Oct 16 Fri 4.5 Dimension of a Vector Space 23 Oct 19 Mon 4.6 Rank 24 Oct 21 Wed Review Chapters 3 and 4 25 Oct 23 Fri Test 2 Chapters 3 and 4 26 Oct 26 Mon 5.1 Eigenvectors and Eigenvalues 27 Oct 28 Wed 5.2 The Characteristic Equation 28 Oct 30 Fri 5.3 Diagonalization 29 Nov 2 Mon 5.4 Eigenvectors and Linear Transformation 30 Nov 4 Wed 6.1 Inner product, Length and Orthogonality 31 Nov 6 Fri 6.2 Orthogonal sets 32 Nov 9 Mon 6.3 Orthogonal projections 33 Nov 11 Wed 6.4 Gram-Schmidt Process
34 Nov 13 Fri 6.5 Least-Squares Problems 35 Nov 16 Mon 6.6 Applications to Linear Models 36 Nov 18 Wed Review Chapters 5 and 6 37 Nov 20 Fri Test 3 Chapters 5 and 6 38 Nov 23 Mon 7.1 Diagonalization of Symmetric matrices 39 Nov 25 Wed 7.2 Quadratic forms 40 Nov 30 Mon 7.3 Constrained Optimization 42 Dec 2 Wed Review Chapters 1 to 7 43 Dec 4 Fri Review Chapters 1 to 7 44 Dec 12 Sat COMPREHENSIVE FINAL EXAM 7 pm to 10 pm Note: The above schedule is tentative and it is subject to change. Any changes to this schedule will be announced in class.