Math 3A (44310) - Summer Session II 2012

Introduction to Linear Algebra

Lecturer Neil Donaldson
Office RH 410A (Rowland Hall)
Office Hours 11-11.50am MWF
Email ndonalds@math.uci.edu
Lecture Times MWF 1-2.50pm PCB 1200 (Parkview Classroom Building)
Homework + Notes page

Discussion Session

Sec A1 (44315) MWF 12-12.50pm PCB 1200

Teaching Assistant Scott Northrup
Office RH 410V
Office Hours 3-4 pm M, or by appointment
Email snorthru@uci.edu

Extra Help! Professor Howard Tucker (RH 474) is on hand much of the week (usually MWF 9-12 & 2-3, TuTh 9-12 & 1-3, Sa 10-12 & 1-4) to provide extra office hours and assistance for Math 3A and Math 13 students. Professor Tucker has decades of experience teaching these classes and helping students deal with the first steps in learning how to think abstractly. If you wish extra assistance for any reason, go knock on his door!

Syllabus The course continues the study of linear algebra from Math 2J. In particular we cover the following topics: Vector Spaces, Linear Transformations, and Orthogonality (including Least Squares problems, Inner Product Spaces, and Gran-Schmidt Orthogonalization)

Course Text The course text is the 8th edition of Steven J. Leon's Linear Algebra with applications. You are NOT required to buy the book as homework questions will be posted directly on the homework page, however the text will be followed closely so it will be very useful to have a copy. All references in the syllabus will be from the 8th Ed.
For a more detailed syllabus click here

Assessment The final grade for the course will be computed as follows: 50% Final, 25% Midterm, 25% Quizzes/Homework Add/Drop & Enrollment Questions
Studying & Grading

Your goals in the class should be to understand the definitions, theorems and structures of Linear Algebra and to work to effectively communicate that understanding. If your goal is merely to get an A, then you certainly won't succeed. If you think you have a chance to get an A by simply memorizing the main formulas and changing numbers in a few standard examples you will similarly fall short. It is impossible to learn the material necessary to do well in this class without putting in substantial time outside of lectures and discussion classes. Attempting homework questions and reading/understanding solutions and results are the method by which you will best learn the material - there are no shortcuts.

Here are several tips to achieving a good grade:
  1. Work steadily through the term and don't give up: The course builds on itself all the way through, so don't get behind! Math courses always seem hard at first before everything suddenly clicks and it becomes easy - if you work steadily through the term you give yourself the maximum chance of this happening!
  2. Form a study group: Your fellow students are your best resource. Compare homework methods and strategies. Trying to explain to others will help your own understanding if you already get it.
  3. Make the best use of your instructors: We want to help you understand as much as you can! If you come to discussion classes/office hours with concrete questions based on putting significant effort into homework or on trying to understand your lecture notes then our assistance will be much more useful to you.
  4. Rewrite your lecture notes after each lecture: this helps you notice mistakes and raises questions/issues to be addressed by the instructors.
  5. Before each exam try to condense your lecture notes to 2 sides of paper (or less) in such as way that you understand everything that's written: As you excise explanations/examples that you no longer need, you will focus in on your areas of difficulty.
  6. Think of mathematics like a performance art: You must practice (doing/discussing/reading questions) before performing (taking exams). It is just as impossible to learn mathematics by using flash cards or other last-minute memory aids as it is to learn to play the guitar by making flash cards of chord patterns; you learn nothing until you pick up the instrument...
Letter grades are awarded based on the quality of your work - this is a subjective matter and one on which we need not agree. The following is a rough guide to what grade letters mean, and what you have to demonstrate in order to achieve them:

D: Can approximately recall the basic definitions of the class and perform simple calculations based on class examples
C: Can recall the most important definitions and theorems and perform longer calculations similar to class examples
B: Can accurately quote most major definitions and theorems of the class and apply them to all major areas covered in the lectures
A: Can accurately quote all major definitions and theorems of the class and apply them to situations not covered in lectures

Exams are written purely to separate the class and make it easy to tell which of the above categories your work places you - the percentages chosen to do this are not fixed and do not carry any objective meaning. You will receive a letter-grade equivalent with your midterm score. Before you think about arguing for points, ask yourself honestly if your understanding of the class material is sufficient to meet the above written equivalents.

Class policies

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