Math 1553 Introduction to Linear Algebra Sections H & J Spring 2016 

This is a basic, first course in linear algebra. The main goals are to understand matrices and systems of linear equations, to learn to solve problems from a mathematical perspective, and to prepare for the many applications of linear algebra in other science and engineering courses. Specifically objectives include:
Instructor
Prof. Dan Margalit
Skiles 244
(404) 8942715
Learning Assistants
Section H: Baishen Huang and Shivang Sullere
Section J: Scott Guan, Matthew Krumwiede, and Yashvi Shah
Class Meetings
Mondays, Wednesdays, and Fridays 11:0511:55 (Section H) and 1:051:55 (Section J) in Clough 144.
Book
Students with a Pearson code can access the text via MyMathLab. The course id is margalit31057. Note: While the Pearson code is not required for this course, you are likely to need the code for other Math courses you take at GaTech, and so most likely buying the code now will save you money in the long run.
Office Hours
Prof. Margalit, Skiles 244 or 236, Tue 23, Wed 23, and by appointment
Scott Guan, Skiles 230, Mon 121
Yashvi Shah, Skiles 230, Mon 23
Baishen Huang, Skiles 230, Wed 45
Matt Krumwiede, Skiles 230, Thu 34
Shivang Sullere, Skiles 230, Tue 56
Math Lab
Dropin help, Clough 280. The Math Lab will be strictly devoted to Math 1553 5:006:00 Monday through Thursday and 11:0012:00 on Tuesdays and Thursdays. The Math Lab is also open for all classes Mondays and Wednesdays 115, and Tuesdays and Thursdays 125. Our Learning Assistants will be in the Math Lab at the following times:
Matt Krumwiede: Tuesday 1112
Scott Guan: Tuesday 56
Baishen Huang: Thu 1112
Yashvi Shah: Thu 56
Shivang Sullere: Thu 56
Homework
There are three forms of homework.
Quizzes
Quizzes will be given during each Friday that has no exam (except the first). Quizzes will be based on the homework and additionally serve as practice for exams. The lowest quiz grade will be dropped.
Participation
The course will use Piazza, available via TSquare, to perform classroom polling. Student scores are based solely on participation. The three lowest participation scores will be dropped.
Schedule
Week  Date  Sections  Topics and Course Notes  WebWork  Homework  Quiz/Exam 
1  Jan 11  Overview  
Jan 13  1.1  Linear systems  
Jan 15  1.2  Row reduction  Warmup  
2  Jan 18  Martin Luther King Day  
Jan 20  1.3  Vector equations  
Jan 22  Snow Day  
3  Jan 25  1.4  Matrix equations  1.1,1.2  Written Homework 1  Quiz 1: 1.1,1.2 
Jan 27  1.5  Linear systems  
Jan 29  1.3, 1.4  Written Homework 2  Quiz 2: 1.3,1.4  
4  Feb 1  1.7  Linear independence  
Feb 3  1.8  Linear transformations  
Feb 5  Worksheet 1  1.5  Written Homework 3  Quiz 3: 1.5  
5  Feb 8  1.9  Matrix of a linear transformation  
Feb 10  Review  Practice 1  
Feb 12  Chapter 1  Linear equations  1.8,1.9  Exam 1  
6  Feb 15  2.1,2.2  Matrix Algebra / Inverses  
Feb 17  2.3  Invertible matrices  
Feb 19  Worksheet 2  2.1, 2.2  Written Homework 4  Quiz 4: 2.1, 2.2  
7  Feb 22  2.5  LU decomposition  
Feb 24  2.8  Subspaces  
Feb 26  2.3, 2.5  Written Homework 5  Quiz 5: 2.3, 2.5  
8  Feb 29  2.9  Dimension and rank  
Mar 2  3.1  Determinants  
Mar 4  2.8, 2.9  Written Homework 6  Quiz 6: 2.8, 2.9  
9  Mar 7  3.2  Properties of determinants  
Mar 9  Review  Practice 2  
Mar 11  Chapters 23  Matrix algebra  3.1, 3.2  Exam 2  
10  Mar 14  5.1  Eigenvectors  
Mar 16  5.2  Characteristic polynomial  
Mar 18  Worksheet 6  5.1  Written Homework 7  Quiz 7: 5.1  
Mar 21  Spring break  
Mar 23  Spring break  
Mar 25  Spring break  
11  Mar 28  5.3  Diagonalization  
Mar 30  5.5  Complex eigenvalues  
April 1  5.2, 5.3  Written Homework 8  Quiz 8: 5.2,5.3  
12  Apr 4  5.5  Complex eigenvalues  
Apr 6  Review  Practice 3  
Apr 8  Chapter 5  Eigenvectors  5.5  Exam 3Exam 3  
13  Apr 11  6.1  Inner products  
Apr 13  6.2,6.3  Orthogonal projections  
Apr 15  Worksheet 9  6.1, 6.2  Written Homework 9  Quiz 9: 6.1, 6.2  
14  Apr 18  6.4  GramSchmidt and QR  
Apr 20  6.5  Method of least squares  
Apr 22  Worksheet 10  6.3, 6.4  Written Homework 10  Quiz 10: 6.3, 6.4  
15  Apr 25  Review  6.5  Practice Final  
16  May 2  Cumulative  Linear algebra  Final Exam Sec J, 2:505:40  
May 4  Cumulative  Linear algebra  Final Exam Sec H, 8:0010:50 
Grading
Final grades will be computed according to the following scale:

Absences
As a general rule, absences are excused for official Georgia Tech business only. I reserve the right to ask for a letter from the Dean of Students. If you have an official excuse for absence for an exam, you will be excused from that exam without penalty, meaning that your other exams will count for a larger portion of your grade.
Devices
Please do not use electronic devices during class for activities that are not related to class.
Resources
Prof. Grodzinsky's Review Sheet
Determinants
Complex Eigenvalues and Factorization
TSquare
Math Lab, in Clough 280.
Center for Academic Success, Drop in tutoring and oneonone tutoring
ADAPTS, Disabilities Services Program
Honor code