## Math 235.04 Spring 06 Introduction to Linear Algebra

• Lecture : 11:15-12:30 TuTh at 115 LGRT
• Office : 1335 LGRT
• Phone : (413)545-1714
• Office Hours :   12:30-1:30 TuTh, or by appointment

• Textbook : David C. Lay, Linear Algebra and its applications, Third edition, Addison-Wesley, 2003
Section Mailing List:https://list.umass.edu/mailman/listinfo/math-235-04-spr06
Learning Goals: The main theme of linear algebra is how to solve systems of linear equations. Since linear systems are geometrically and computationally very useful, linear algebra is a fundamental tool of mathematics with wide application throught the sciences  image processing, predator-prey models, and Google PageRank are just a few examples of linear algebra in use.

Your main learning goals are the following:

• Learn basic algorithms of linear algebra.
• Understand fundamental concepts such as vectors, matrices, linear spaces, linear transformations, dimension and rank, bases, eigenvalues, eigenvectors, and others.
• Develop reasoning skills with linear algebra concepts.
Time permitting, several applications of linear algebra will be discussed.
Advice: In almost every class, new algorithms and abstract concepts will be introduced. Unless you prepare yourself by reading the textbook with a pencil before each class, it is likely that you will feel this course too fast and too abstract to follow.
Exams: There will be two midterm exams in class and one final exam. All exams will be closed book. You will be allowed to bring in a single handwritten index card. Their tentative dates and coverings are the following:
• Exam 1: Thursday March 16, Chapters 1-2
• Exam 2: Thursday April 27, Chapters 3-4
• Final Exam: Tuesday May 23 8:00AM LGRCA301, Chapters 1-5

• Midterm exams: 20% each
• Final exam: 30%
• Homework: 15%
• Quizzes: 10%
• Class participation : 5%
• Your letter grade will be determined by the following table:  A A- B+ B B- C+ C C- D+ D F 90 87 83 80 77 73 70 67 63 60 <60

The instructor may divert from the tentative schedule by skipping/adding certain topics or going slower/faster, depending on the class progress.
Homework: In each week, homework will be due at the end of the lecture on Thursday, unless mentioned otherwise. Three lowest grades will be dropped. Usually, you will have about 10 problems in each week.

Check the tentative schedule web page regularly to find the updated list of homework problems.

You are encouraged to work together, but your solutions should reflect your own understanding; i.e., you do not copy solutions from somewhere else, and your supporting work for each problem is of your own words. In writing up homework, you have to give enough detail to show how you get the answer.

Your solutions should be written neatly and follow the order of the problems as listed. If you need to put them out of order, you have to make appropriate notes. Pages must be stapled in the upper-left.

Quiz: There will be a weekly quiz at the end of the lecture on Thursday, unless otherwise mentioned. Usually, it will cover all the topics of the homework assignment due in the same week and more recent topics in class. All quizzes will be closed book. Three lowest grades will be dropped.
Important Notes:
• You are expected to attend every lecture and regularly check the emails of the section mailing list. You are responsible for any covered material and announcements made during class (this may include significant changes to the syllabus). For supplemental or emergent announcement, the section mailing list is used.
• No late homework/make-up quiz will be allowed. However, if you provide the instructor with valid reason such as a school trip or your doctor's recommendation, your missing grade will be replaced by your grade of the next homework/quiz.

If necessarily, the instructor asks you to submit a supporting memo from someone such as an instructor or a doctor.

• No make-up exam will be given without reasonable arguments. Anyone with a valid reason for missing an exam should inform the instructor at least a week in advance. If you must miss an exam due to an emergency such as sudden illness, you must notify the instructor as soon as possible.

See the second paragraph above.

• No calculator will be allowed in exams and quizzes. Several reasons for this rule are the following:
• This course is more abstract than any calculus courses. You have to try many calculations by yourself so that you can tell how and why each algorithm or concept is working.
• Sometimes it is difficult for you to know what is expected to answer when you can skip certain steps by your calculator.
The instructor can not prohibit you from using your calculator in homework, but you have to keep in mind that honest job on homework is a key for your better grades on exams and quizzes.