LSU College of Science
LSU  | Mathematics

Math 2085 Information

For Fall 2015

Time MWF 10:30 AM -- 11:20 AM
Location Room Change: 241 LOCKETT.
Calendar Our class meets from Monday, August 24, 2015 through Friday, December 4, 2015. The Final Exam will be Tuesday Dec. 8 from 7:30 - 9:30 AM.
Leonard Richardson Office 386 Lockett
Office Hours MWF 12:00 -- 1:00 PM. I am available at many other times. Email or call first to make sure I'm able meet with you. I answer email many times daily.
Telephone 578--1568
E-Mail rich@math.lsu.edu
Graduate Assistant Ms. Liem Nguyen will grade your collected homework assignments. She will be available to answer questions about the grading of your homework in 282 Lockett from 12:20-1:20 pm on Tuesdays.
Text Otto Bretcher: Linear Algebra with Applications, Fifth edition, Prentice Hall, 2013. We plan to cover most of Chapters 1 -- 7. This course treats systems of linear equations, vector spaces, linear transformations, matrices, and determinants.
Prerequisites MATH 1552 or 1553. Credit will not be given for both Math 2085 and MATH 2090.
Free Math Tutoring Your first resource should be to see me. There are also other resources:
The Shell Tutorial Center will open its doors on August 31, 2015 at 9:30 AM, in ROOM 141, Middleton Library.
HOURS of Operation: M-Th, 9:30 AM to 7:00 PM. Friday, 9:30 - 3:00 pm.
FOR More information on tutoring in all subjects go to: www.lsu.edu/tutoring.
CAS also offers many on-line student resources such as study tips, time management, etc. CAS is located in B-31 Coates Hall.

Organization of this Class

Homework will be assigned daily. Homework problems to be collected for grading will be indicated in red. Please understand that it is from the effort of working your way through assigned problems on paper that you learn mathematics.
It is by no means sufficient to read solutions in a solutions manual! You must work out problems yourself, the hard way, in order to learn this work.
Do not become a victim of the online scoundrels who will sell you solutions for a few dollars a month. They do not care about the quality of your education, and they will not help you if the result is that you need to repeat the course and pay tuition a second time for the same course.
Examination problems will be very similar to assigned homework problems. Thus your daily effort on homework problems will be strongly reflected in your test grades.

Tests

These will be closed-book tests. You must keep your eyes on your own paper and do your own work. Do not communicate with your classmates during an examination. No books or notes are permitted, electronic, paper, or on any other medium. No electronic devices are permitted other than a calculator and a watch to check the time. No cell phones, smart phones, or internet-connected devices are permitted.
The problems will be similar to those in the homework: those that are collected and also those that are not collected. A correct answer is not sufficient to receive credit. You must show all the work that leads correctly to the solution.

Absences

If you miss a test, it is your responsibility to speak to me as soon as possible to determine whether or not your excuse is acceptable. Here is some General Guidance regarding appropriate reasons for absence from a test or examination.

Grades

There will be three hour tests, worth 100 points each, and a two hour final examination, worth 200 points. Your lowest hour test grade will be replaced by your homework average on a 100% scale, if it is to your advantage. I will grade your hour tests and return them to you the very next class meeting each time. Your final test average will be the sum of all your test grades divided by 5. So your final test average will be less than or equal to 100. The minimum grade for each letter grade is as follows:
A+, 97
A, 93
A-, 90
B+,87
B, 83
B-, 80
C+, 77
C, 73
C-, 70
D+, 67
D, 63
D-, 60
F, below 60
You should save all your graded work for future study and in case you think your final grade is in error.

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Remarks

It is important not to fall behind. It is very important to attend class and participate in homework discussions daily. Please do not assume you can take care of difficulties later---see me for help as soon as possible if there is something you do not understand! You are responsible for all assigned problems---not just those which we go over the next day!

Homework Assignments and Downloads

The table of assignments below needs to be revised for the current semester. You will know an assignment is correct for this semester when the date has been corrected. Be sure to reload this page from the website each time you visit, since it will be updated daily! Homework problems to be collected for grading will be indicated in red. You should keep a notebook with all your solutions written out, including those problems that are not collected. We will reserve some class time each day to answer questions about the homework that is due for that day. Test questions will resemble assigned homework problems, so it is important to put in the time and effort to keep up with the daily homework. The homework grader will also have office hours to answer questions, as posted above.

The University has clear policies requiring academic honesty. If you email me about a pending assignment, I may send a hint to the whole class in answer to your question, not giving your name of course! If on the other hand you get a good idea from another book, or from talking with a friend, academic honesty requires that you acknowledge your sources openly. Above all, never copy directly from another person's written work as though it were your own. Remember that your own good name is irreplaceable. This is a sound principle which will serve you well throughout your life. Moreover, on a practical level, it is very foolish claim another person's work as your own. Work that is copied can be recognized very easily.

Due Assignments
August 24 Read this syllabus so you can ask questions about it in class. Obtain a copy of the text so that you are ready to begin work. If you have been away from mathematics courses for a few years, it may be necessary to review what you learned during your earlier courses.
August 26 1.1 / 1, 5, 9, 11, 13, 15, 17, 19, 21, 37, 39.
August 28 1.2 / 1 -- 5, 11, 19, 26, 27, 29, 37, 47. Please hand in: 1.1 / 20, 22. Write your solutions neatly, so the grader can read them easily, numbering each problem in order. PRINT your name clearly at the top of your paper so that you will receive the proper credit.
August 31 1.2 / 28, 38. For #28, please give a reason for your answer.
September 2 1.3 / 1 -- 7, 13 -- 15, 17, 19, 22, 25, 29, 35, 59.
September 4 1.3 / 24, 30, 36. Also: Pp. 38 -- 39 / Read the Chapter Review questions (true/false) to check your understanding.
September 9 Read section 2.1. Do 2.1 / 1--3, 5, 7--9 (odd), 15, 17, 19, 21.
September 11 Please hand in 2.1 / 4, 6, 44.
September 14 2.2 / 2, 3, 6--8, 10, 11, 13, 15, 19, 21.
September 16 Please hand in 2.2 / 14, 16b. .
September 18 2.3 / 1 -- 13 (odd), 17, 19, 29, 33, 35, 37, 43, 47.
September 21 Please hand in 2.3 / 18, 44, 46 .
September 23 Bring Questions to Review for the First Hour Test, covering sections 1.1 --2.3, inclusive. Everyone is expected to make a written list of questions!
September 25 First Hour Test today.
September 25 Please download and read carefully the Hour Test #1, Fall 2015, Solution Sketches and Class Statistics.
September 30 2.4 / 1 -- 11 (odd), 17, 21, 23, 29, 31, 35, 55, 57, 59.
October 2 Please hand in 2.4 / 4, 32, 40. Also: 3.1 / 1, 3, 5, 9, 15, 17, 19, 33, 35.
October 5 Please hand in 3.1 / 16, 18 . Also: 3.2 / 1 -- 9, 11, 15, 17, 23, 27, 29, 37, 39.
October 7 Please hand in 3.2 / 16, 34. General Note: If the zero vector is included in a set of vectors, it is a linearly dependent set. This is the case in exercise 18, for example. Linear independence of a set of vectors has nothing to do with the order in which the vectors are listed, and the author's definition of redundancy breaks down if the zero vector happens to be listed first. So in problems in this text, you should count zero vectors as redundant, although superfluous would be a better choice of word.
October 9 3.3 /1, 3, 5, 9, 13, 17, 21, 27, 31, 33, 35 .
October 12 3.3 / 28, 36
October 14 3.4 / 1, 3, 7, 9, 11, 13, 15, 17, 19, 21, 23, 31, 37, 41, 43.
October 16 3.4 / 20, 26, 38. Note: In each problem, it is sufficient to solve the problem correctly using any one method. Try to pick the method that will be easiest to apply. In problem 38, please be sure to show also the matrix of the linear transformation in the new basis you have chosen.
October 19 .4.1 / 1, 3, 5, 7, 9, 11, 13, 17, 19, 21, 23, 25, 27.
October 21 4.1/ 20, 30.
October 23 4.2 / 1, 3, 5, 7, 13, 15, 17, 19, 23, 25, 27, 45, 51, 59, 61.
October 26 4.2 / 10, 28, 52. Also: Bring a list of questions to review for the second hour test!
October 28 Hour Test #2. This test will cover all work assigned since the first hour test.
October 30 Please download and read carefully the Hour Test #2, Fall 2015, Solution Sketches and Class Statistics.
November 4 4.3 / 1, 3, 5, 7, 13, 21, 23, 25, 35, 41, 47.
November 6 4.3 / 8, 42.
November 9 5.1 / 1 -- 9(odd), 15, 25, 29, 31, 41.
November 11 5.1 / 12, 16, 42 .
November 13 5.2 / 1, 5, 9, 13, 33, 35. (In section 5.2, focus on the Gram-Schmidt Orthonormalization Process. The QR factorization will be used for theoretical purposes in section 6.3.)
November 16 5.2 / 34.
November 18 6.1 / 1, 3, 5, 7, 9; 11, 13, 15, 17, 19, 21; 31, 33, 43, 44. Assume in these exercises that A is invertible if and only if det(A) is nonzero. We will prove this later.
November 20 6.1 / 18, 26. Also: 6.2 / 1--9, 11, 13, 15, 47, 51
November 23 6.2 / 16, 22. Also: 6.2 / 17 -- 21 (odd), 25, 43.
November 25 Bring questions to review for hour test!
November 30 Third Hour Test today! This test will cover assignments that were due before today but since the second hour test.
December 1 Please download and read carefully the Hour Test #3, Fall 2015, Solution Sketches and Class Statistics.
December 4 7.1 / 1, 3, 5, 7, 9, 12, 15, 17, 41, 43, 48, 51. Also: See below!
December 2 -- December 5 Bring questions to review for the Final Exam! Don't forget to review from the beginning of the course! Also, bring a number 2 pencil on the last day to fill out the end-of-course evaluation form!!
Study for the Final Exam! This 200-point exam will cover the whole course in a uniform manner, so remember to review from the beginning of the course. Coverage on the Final Exam runs from the first assignment through the last assigned problem.
Your final grade for the course will be the larger of the following two:
1. The grade guaranteed by the formula provided higher on this page.
2. One letter below the final exam grade. For example, if your final exam grade is A-, you are guaranteed at least a B- in the course.
Thus the final exam provides a safety net that supplements the calculations specified above.
December Study for the final exam. I will have my usual office hours but on a daily basis, M--F.
Tues, Dec. 8, 7:30 AM The Final Exam is on Tues, Dec. 8, 7:30 AM .
December Please download and read carefully the Final Examination, Fall 2015, Solution Sketches and Class Statistics.