Kunkle's Syllabus, MATH 203, Fall 2014
last change: Dec 5, 2014

MATH 203 (Linear Algebra) Fall 2014

Section: 10936 - MATH 203 - 01 9:00 am - 9:50 am MWF MAYBANK HALL 113
Instructor: Dr. Kunkle, 327 RS Small, k u n k l e t _at_ c o f c _dot_ e d u, 953-5921 (office), 766-0943 (home).
RS Small is item 23 on the campus map. It's a big pink building across from Maybank Hall on Cougar Mall.
Instructor's Office Hours: M 10-10:50, T 12:15-1:15, W 1:30-2:30, F 2-3, or by appointment.
Here are my remaining office hours this semester. If you'd like to see me but can't make these times, please ask for an appointment. As always, you're welcome to use my home number if you have a question.
Mon Dec 1: 10-10:50, 1:30-2:30
Tue Dec 2, 8:30-4
Wed Dec 3, 12-4
Thu Dec 4, 8:30-4
Fri Dec 5, 8:30-4

Course Objectives, Expected Outcomes: MATH 203 is the introductory linear algebra course required of all math majors at the College of Charleston and is also a suitable course for students in economics and the natural sciences. We'll cover systems of linear equations and reduced row echelon form, linear, one-to-one and onto transformations, matrix algebra and inverse matrices, determinants and Cramer's rule, vector spaces, linear independence and spanning sets, eigenvectors, eigenvalues and diagonalization, orthogonality, Gram-Schmidt and least squares. For more details, compare the list of sections below with our text's table of contents. Students are expected to display a thorough understanding of the techniques of these topics and, to some extent, the theory behind them. At least one question on each exam will require written proof.
Mathematics Program Student Learning Outcomes: This course can be used to satisfy some requrements of the undergraduate mathematics degree program, for which there are also some standard goals; students will:
  1. use algebra, geometry, calculus and other track-appropriate sub-disciplines of mathematics to model phenomena in mathematical terms;
  2. use algebra, geometry, calculus and other track-appropriate sub-disciplines of mathematics to derive correct answers to challenging questions by applying the models from the previous Learning Outcome; and
  3. write complete, grammatically and logically correct arguments to prove their conclusions.
These outcomes will be assessed on the final exam.
Text: Linear Algebra and its Applications by David Lay, either 3rd Edition, or 3rd Edition Updated. It will make no difference which of these you buy. (I believe that the Study Guide and the CD-ROM that go with this book are the same. They contain worked-out solutions to the old numbered exercises in the homework, as well as answers to the True-False questions.)
Exams and Grades: We'll have three (3) 50-minute midterm exams, a 3-hour final exam, and weekly one-question quizzes. See Schedule below for dates. All exams and quizes will be closed book: no notes, books, calculators, electronic devices, etc.

Although basic ideas we learn in this course can appear on several exams or quizzes, each weekly quiz will be based primarily on material covered since the time of the previous exam or quiz, and each midterm exam will be based primarily on material covered since the previous midterm. Our departmental final exam in this course will be cumulative. Unless I specifically tell you otherwise, you should assume that any topic of this course could appear on the final.

Each of the three (3) midterm exams is worth 100 points, the final exam is worth 200 points, and the weekly in-class quizzes are worth 50 points altogether. I'll assign letter grades as follows:
Letter grade: A A- B+ B B- C+ C C- D+ D D-
Minimum required score: 90% 87% 83% 80% 77% 73% 70% 67% 63% 60% 57%

I won't drop any exams, but if you do better on the final exam than on your worst midterm exam, I'll raise that (one) midterm exam score by averaging it with your final exam (percentage) score. Then, at the end of the semester, I'll calculate your grade two ways--based on the percent you earned of the 500 possible exam points, and again based on the percent you earned of the 550 possible exam and quiz points--and give you whichever letter grade comes out higher.

Attendance Policy: Good attendance is a necessary first step towards a good grade. I strongly recommend that you attend class every day.

If you're absent on a non-exam day, I'll assume that you have a good reason for missing and will not require an excuse. Read the text and try the homework for the day you miss and then bring questions to me in my office. See Make-up Policy for absences on exam days.

Note: College of Charleston policy requires me to take roll during the first two weeks after drop/add, until I determine that all of my students have attended at least once, and report the results to the College. Any student who has not attended class at least once during these two weeks will be dropped from this class. These roll calls will not be used in my calculation of the remaining students' grades at the end of the semester.

Make-up Policy: If you must miss an exam, I expect you to contact me (using all the numbers above) and the Absence Memo Office as soon as possible. Do not delay. I can allow you a make-up exam only if I determine that your absence at exam time (and every reasonable time until the make-up) is excusable. If you are not sick enough to see a doctor for your illness, then you are not sick enough to miss the exam. An unexcused exam will be given the grade zero, probably causing you to fail the course.

At the end of the semester---starting on the date of our last in-class quiz and ending on the last day of final exams---I'll allow you to make up at most two (2) quizzes that you've missed for any reason. (Exception: You can't replace a take-home quiz with one of these makeup quizzes.) No Absence Memo will be required for makeup quizzes. The topic of the makeup quizzes can be from anything we've covered during this semester and will be taken outside of class. These makeups can only be used to replace quizzes that you've missed, not simply low scores. I'll drop your two (2) lowest quiz scores (after any makeups) before computing your quiz average.

Regrading Policy: If you think I've overlooked something when grading any of your work and would like me to consider giving it a higher score, you must write, sign, and date the following statement on the exam or quiz in question. "Dear Professor Kunkle, Please regrade this problem for a higher score. I have not altered my work in any way since it was first graded."
How to get your best grade: Attend every class, practice lots of homework, and read the book!

After each class, do as many of the assigned problems as possible. There will be a short time to ask questions about these at the beginning of the next class. If you run into dificulty, really try; don't flit from one unsolved problem to the next.

Don't just do the homework until you get the right answer, but practice homework problems until you can do them reliably on an exam. Practice reading the instructions on homework problems. If you are able to do the homework only after looking at some answers in the back to figure out what the question is asking, then you're not prepared for the exams.

Begin extra studying well in advance for the tests, at least a week. Write (and rewrite) a special set of notes that summarize in your own words the important facts for the test. Include in these notes the different types of problems appearing in the homework and the steps you follow to solve each type.

Calculators: A calculator is of limited use in learning the material in this class, so no specific model is required for this course. Calculators will be excluded from all exams and quizzes.
Syllabus On Line: If it becomes necessary for me to change any part of this syllabus, you'll always find its most current version at http://kunklet.people.cofc.edu/ . Look for the last change date at the top of this document, and the description of changes at the bottom.
Old Exams: Here are the exams from my MATH 203, Spring 2014, when I last taught this class. Since course content and the order of topics can change from one semester to the next, these exams might not always cover the material you should be studying for your exams.
Exam 1 (Chap 1) Exam 2 (Chaps 2&3) Exam 3 (Chaps 4&5) Final Exam Math Dept Sample Exams
Learning Disabled Students: If you have a learning disability which will effect your performance in this class, you should contact Disability Services (953-1431) and talk to me in private. I can make no special testing allowances without documentation from Disability Services. Appointments with Disability Services for alternate testing must be made by the student at least three days in advance of the test date.
Assigned Problems: "5-25" means the odd numbered problems between 5 and 25, inclusive. "7-19 (all)" means all problems between 7 and 19, inclusive. * indicates a challenging but worthwhile problem. "1.rev" refers to the review exercises at the end of Chapter 1. "[17]" means to do problem 17 if time allows us to cover this topic in class.

1.1: 1-25, 27*-31. 1.2: 1, 3, 7-17, 21-33. 1.3: 1-27, 33.
1.4: 1-7, 11-25, 29-35. 1.5: 1-17, 23, 25*, 27, 29-33 (all), 35. 1.7: 1-23, 24, 25-39, 40.
1.8: 1-21, 29-33, 35, 36. 1.9: 1-11 (all), 13-29, 30, 31, 35, 36. 1.sup: 1-9, 21.
2.1: 1-23, 25*, 27. 2.2: 1-11, 15-23, 24, 29-37. 2.3: 1-7, 11-23, 27*, 28*, 29, 33-37.
2.sup: 1, 3, 7-11*, 13, 17**. 3.1: 1-13, 19-31, 32-36 (all), 37-41. 3.2: 1-21, 25-39, 41*, 43*.
3.3: 1-5, 11-15, 19-25. 3.sup: 1-5 (all), 9, 10*, 11, 13. 4.1: 1-27, 29*, 31.
4.2: 1-27, 28, 29, 30, 31, 33-36 (all). 4.3: 1-23, 24, 27, 29-33 (all). 4.4: 1-21, 23-27 (all), 29, 31, 32.
4.5: 1-25, 29, 31*. 4.6: 1-29, 28, 31, 32, 33*. 4.sup: 1a-r, 2, 7, 9.
5.1: 1-21, 25, 29*, 31, 32, 35. 5.2: 1-21. 5.3: 1-31.
5.4: 1-23. 5.5: 1-21. 5.sup: 1, 2, 3.
6.1: 1-19, 23, 27-31 (all). 6.2: 1-33. 6.3: 1-17, 21.
6.4: 1-11, 17ab, [13, 15, 17c]. 6.5: 1-13, [15], 17, 18abcde[f], 19. 6.6: [1, 7, 9, 11.]
6.sup: 1, 5*, 9, 13**.
Schedule:
W 8/20 : 1.1 F 8/22 : 1.2
M 8/25 : 1.3 span pix W 8/27 : 1.4 F 8/29 : Quiz 1, 1.5
M 9/1 : 1.7 W 9/3 : 1.8 F 9/5 : Quiz 2, 1.9 Why is rotation linear?
M 9/8 : 2.1 W 9/10 : 2.1, 2.2 F 9/12 : Quiz 3, 2.2, 2.3
M 9/15 : 2.3 W 9/17 : Q&A F 9/19 : Exam 1 (Chaps 1&2)
M 9/22 : 3.1 W 9/24 : 3.2 F 9/26 : Quiz 4, 3.3
M 9/29 : 4.1 W 10/1 : 4.1 How to write subspace proofs F 10/3 : Quiz 5, 4.2
M 10/6 : 4.3 W 10/8 : 4.3 F 10/10 : Quiz 6, 4.4
M 10/13 : Quiz 5 Make-up, 4.5 W 10/15 : 4.5, 4.6 F 10/17 : Quiz 7, Q&A
Oct 23 is the last day to withdraw with a grade of W.
M 10/20 : Exam 2 (Chaps 3&4) W 10/22 : 5.1 F 10/24 : Quiz 8, 5.2
M 10/27 : 5.3 W 10/29 : 5.4 F 10/31 : Quiz 9, 5.5
M 11/3 : holiday W 11/5 : Complex Arithmetic, 5.5 F 11/7 : Quiz 10, 6.1
M 11/10 : 6.2 W 11/12 : Q&A F 11/14 : Exam 3 (Chap 5,6.1,6.2)
M 11/17 : 6.3 W 11/19 : 6.4 F 11/21 : Quiz 11, 6.4, 6.5
M 11/24 : 6.5 [6.6] W 11/26 : holiday F 11/28 : holiday
M 12/1 : Q&A W 12/3 : Final Exam 8-11am
08/20: Added quizzes to schedule. Changed date & content of Exam 3. 10/13: Changed quiz makeup policy. Added link to Quiz 5 Make-up. 11/05: added link to worksheet on Complex Arithmetic
11/15: added Regrading Policy. 11/30: clarified dates of quiz make-ups. Dec 1: office hours during finals.
12/5: added link to Final Exam solutions.