# Math 311, Introduction to Linear Algebra

### The class meets Tuesdays and Thursdays, 1:30 - 2:45pm at 413, Keller Hall.

Office: 501, Keller Hall (5-th floor)
tel: (808)-956-6533
e-mail: pavel(at)math(dot)hawaii(dot)edu (usually, I respond to e-mail messages within a day)
Office hours: Tuesdays and Thursdays 12:00-1:20 and 3:00-4:00pm

General Expectations
The Department of Mathematics has a general expectations statement, which we are assumed to follow in this class.
In this class we use the book
• Bernard Kolman, David R. Hill; Elementary linear algebra with applications, ninth edition Pearson Prentice Hall.
The book is really unavoidable, and cannot be replaced with another textbook! There are, however, many linear algebra textbooks which may be useful. Linear Algebra by K. Hoffman and R. Kunze, Prentice Hall, is of particular interest. It covers much more material than this class.
Course Objective
To learn first basic ideas and notions of linear algebra. It is particularly important to learn to operate with these ideas and notions. This includes both the ability to conduct a specific calculation, and to prove or disprove a statement. Since this is a writing intensive class, to produce a mathematically rigorous argument (aka a proof) means to write it down in proper English.
Prerequisites
Calculus III (i.e. 243 or 253A), or concurrent.

The course contains a combination of concepts, ideas and techniques, which the students must be able to apply in solving specific problems. Some of these problems require to either prove or disprove a certain statement. At the end of the day, your grade will reflect your ability to solve specific problems and to properly write your solutions down. This assumes your ability to read and understand the textbook. To understand, in this context means to be able to both create mathematical arguments (proofs) which are similar to those provided in the text, and to perform specific calculations similar to those in the exercises and examples. More specifically, the following rules are to be taken.

• Final exam will count for 30% of the final grade. The exam is cumulative (it covers all the material). The exam will take place on Tuesday, December 14, 9:45 - 11:45am.

• Four Writing Homework Assignments count together for 40% of the final grade.
It will be possible to make up these assignments. After an assignment is graded, one may redo and resubmit it (one can do that only once with every assignment). These assignments are devoted to writing proofs. A Writing Homework Assignment is always due the class after the corresponding chapter from the book is finished.
• Three Quizzes will be given, and the average grade for the quizzes counts for 30% of the final grade.
Every quiz consists of problems similar to those from the regular homework. For this reason, it is highly recommended to solve homework problems. There will be no make-ups for quizzes. Note that regular homework is never collected and checked. The only way it contributes to the final grade is by means of the quizzes.

The following are not part of the grading scheme:
• Attendance and regular homework
However, missing the classes one misses at least the quizzes which are a part of the grade.

### Contents and Homework Assignments

This table is approximate, and may be updated regularly. In particular, some dates may be entered.

Feb 7
 Date Sections Homework Assignment Writing Homework Assignments 1.1 1-23 1.2 1-15, 19 1.3 1-23 1.4 1-19,22,23,25 1.5 1-58 Jan 29 1.6 1-21 Jan 31 problem session Feb 5 quiz Feb 7 2.1 1-7 43e on p33, 34 on p41 (state the answer and prove it), 46 on p53, 8 on p81 2.2 1,3,5,7,9,18,19 2.3 1-9,11,13,15,17,23,25 2.4 1-5 Feb 26 problem session first writing assignments revisions due date Feb 28 quiz Mar 5 3.1 1-16 25 on p126, 11 on p 130 3.2 1-21 3.3 1-12 3.4 1-7 3.5 1-7 Mar 14 problem session Mar 19 quiz Mar 21 4.1 1-19 11 on p155, 9,10 on p174 (from "supplementary exercises", NOT from "chapter review") 4.2 1-15 4.3 1-23 , 29-39 4.4 1-13 4.5 1-21 4.6 1-37 4.8 1-23,30,32,35,36 4.9 1-35 Apr 23 problem session chapter 4 Apr 25 problem session chapter 4 Apr 30 review 16 on p216, 36 on p244, 32 on p287, give your critics on the proof of Theorem 4.5 on p222 (that is a separate question)