# SYLLABUS

## Introduction to Linear Algebra for Calculus (Math 1522) Summer 2012, Georgia Tech

Lecture
M W F 10:40-11:50 Skiles 249

### Instructors

Professor Mohammad Ghomi (until June 20)
Jingfang Liu (after June 20)

### Course Description

This class is an introduction to basic concepts of linear algebra: matrices and determinants, vector spaces and linear transformations, eigenvalues, diagonalization, and various applications.

Math 15X2

### Textbooks

Linear Algebra and its Applications, by David Lay (Fourth Edition), Pearson 2012.

We will study the first 7 chapters of the text, or portions thereof, according to the following (tentative) schedule:

Topic Chapters Weeks
Intro. to systems of linear equations, tranformations and matrices1 2
Matrix operations, inverse, factorization, rank2 2
Determinants and volume 3 1
Vector spaces, linear independence, bases 4 2
Eigenvalues and diagonalization 5 & 7 (7.1, 7.2) 2
Orthogonality, Least squares, and other applications62

### Homework

There will be homework assignments due every Monday.

### Assignments

 # Due Date Problems 1 May 21 1.1) 4, 8, 12, 14, 24, 33, 34; 1.2) 4, 12, 18, 20, 22, 30, 33; 1.3) 6, 10, 12, 14, 22, 24, 29, 30. 2 May 30 1.4) 6, 8, 12, 16, 20, 30, 32; 1.5) 6, 8, 18, 24, 26; 1.6) 4, 14; 1.7) 6, 16, 18, 20, 22, 36. 3 Jun 4 1.8) 4, 8, 10, 12, 14, 22, 27; 1.9) 2, 6, 18, 26, 30, 32; 2.1) 2, 6, 8, 10, 12. 4 Jun 11 2.1) 16, 28; 2.2) 6, 8, 10, 18, 32; 2.3) 4, 8, 12, 16, 22, 34; 2.6) 2, 4, 6. 5 Jun 18 2.8) 6, 8, 10, 18, 22, 24, 26, 32, 34; 2.9) 4, 6, 10, 12, 18, 20, 24; 3.1) 6, 10, 12, 16, 20, 38, 42. 6 Jun 25 3.2) 2, 4, 6, 12, 22, 24, 31, 32; 4.1) TBA 7 Jul 2 TBA 8 Jul 9 TBA 9 Jul 16 TBA 10 Jul 23 TBA

### Attendance Policy

Students are required to attend all lectures.