MATH 3A

Class Information

• MATH 3A Lec A
• Introduction to Linear Algebra
• Course Code: 44580
• Term: Winter Qtr 2016

Meeting Information

• Room: ET 202
• Day & time: M W F 8:00am to 8:50am

Instructor Information

• Leonardo Zepeda-Nunez
• Email: lzepedan@uci.edu
• Office Location: 510V Rowland Hall
• Office Hours: Wednesday 4-5pm and Friday 1-2pm

Class Links

• Matlab official page

Homework/Assignment : Each week we will provide you with some exercises that you need to complete. You will only hand in the exercises listed as compulsory.

Book and covered material : The course will follow the book "Linear Algebra and its applications", Davix C. Lay, Steven R. Lay, Judi J. MacDonald, 5th edition. A priori, we will cover chapters 1, 2, 3, 5, 6.

Syllabus : A priori we will follow the syllabus proposed by the Math department. However, it may change given the interest of the class.

Additional References : We will use the book "Introduction to Linear Algebra" , Gil Strang, 4th edition as extra reference material. You can access the rest of the chapters in the library.

Attendance : You are expected to attend classes and discussions. You are expect to read the material signaled in the Syllabus before each class (you will have to answer a small quiz before some randomly chosen classes)

Piazza : This term we will be using Piazza for class discussion. Find the class page here.

Blitz-quizzes : We will have book-keeping blitz-quizzes (10 min) at randomly chosen classes. The lowest score will be dropped. They will count for a 5% of the final grade.

Coding questions : Given that the ultimate goal of learning linear algebra is to solve real-world problem, which in return are solved using computers. You will learn how to use a modern high-level scripting language such as julia or MATLAB to apply what you will learn in class.

Course Grade :

• 5%: Blitz-quizzes
• 10%: Homeworks
• 15%: Coding Homeworks
• 30%: Midterms: 15% Friday 01/29/2016 and 15% Friday 26/02/2016
• 40%: Final

Material

References :

• Recordings of Gil Strang class at MIT
• A large collection of problems with solutions (18.06 at MIT)
• Alan Edelman's ipynb for MIT linear algebra class

Extra references (by week) :

• Week 1
  • A good introduction of row versus column picture can be found here
  • A good description of solving linear systems using either pictures can be found here
• Week 4
  • A good description of row reduction via elementary matrices can be found here
• Week 5
  • A good description of matrix multiplication and computing inverses can be found here
• Week 5
  • A typical exercise of performing LU decomposition can be found here
• Week 8
  • And excelent introduction to determinants by Gil Strang can be found here and here
  • Cramer's formula and volume of a box by Gil Strang can be found here

Worksheets :

• Guide to how install and activate MATLAB using your UCI account
• MATLAB tutorial (you need to create a mathworks id first)

Matlab assignments :

• Matlab homework 1 (Due Friday 01/29/2016 to be uploaded in the dropbox in the eee page of the class)
• Matlab homework 2 (Due 02/26/2016 to be uploaded in the dropbox in the eee page of the class)
• Matlab homework 3 (Due 03/16/2016 to be uploaded in the dropbox in the eee page of the class)

Answers for Matlab assignments:

• Matlab homework 1

Homeworks/Assignments :

• HW1: deadline 01/13/2016 (you will hand them in class)
  • Recommended
    • 1.1: 15-16, 26-32
    • 1.2: 1-14
    • 1.3: 1-3, 26-29, 32-34
  • Compulsory:
    • 1.1: 25
    • 1.2: 27
    • 1.3: 22, 30
• HW2: deadline 01/21/2016 (you will hand them in discussion)
  • Recommended
    • 1.4: 1-5, 32-36
    • 1.5: 1-14
    • 1.6: 1-12, 14.15
  • Compulsory:
    • 1.4: 17-20 (counts by 2 problem)
    • 1.5: 17, 23
    • 1.6: 13
• HW3: deadline 01/28/2016 (you will hand them in discussion)
  • Recommended
    • 1.7: 1-5, 32-36
    • 1.8: 1-14, 27-31
    • 1.9: 1-14, 23-24
  • Compulsory:
    • 1.7: 21, 42
    • 1.8: 34
    • 1.9: 36
• HW4: deadline 02/04/2016 (you will hand them in discussion)
  • Recommended
    • 2.1: 17-26
    • 2.2: 15-28
  • Compulsory:
    • 2.1: 30. 33
    • 2.2: 5
• HW5: deadline 02/11/2016 (you will hand them in discussion)
  • Recommended
    • 2.2: 8-19,21-26
    • 2.3: 32-40
    • 2.4: 15-18, 21-23, 25
  • Compulsory:
    • 2.2: 20
    • 2.3: 31
    • 2.4: 19,20, 24
• HW6: deadline 02/18/2016 (you will hand them in discussion)
  • Recommended
    • 2.5: 20-24
    • 2.8: 27-36
    • 2.9:19-26, 28-30
  • Compulsory:
    • 2.5: 19
    • 2.8: 21,22
    • 2.9: 27
• HW7: deadline 02/25/2016 (you will hand them in discussion)
  • Recommended:
    • 3.1: 9-24
    • 3.2: 1-26
    • 3.3: 15-30
  • Compulsory:
    • 3.1: 25-30, 42
    • 3.2: 32, 35, 43
    • 3.3: 31
• HW8: deadline 03/04/2016 (you will hand them in discussion)
  • Recommended:
    • 5.1: 1-4, 6-10
    • 5.2: 1-16
    • 5.3: 1-3, 7-13, 19, 20
  • Compulsory:
    • 5.1: 14, 16, 21
    • 5.2: 17, 21, 22
    • 5.3: 21, 31, 32
• HW9: deadline 03/11/2016 (you will hand them in class)
  • Recommended:
    • 5.4: 1-10
    • 5.5: 1-16
  • Compulsory:
    • 5.4: 1, 2, 5, 6, 28
    • 5.5: 2,3, 13, 14, 15
• Bonus HW Midterm revision: deadline 02/05/2016 (you will hand them in class)
  • Midterm 1
• Midterm 2
  • Midterm 2
• Quiz 1
  • Quiz 1
• Quiz 2
  • Quiz 2
• Problems set for Midterm 2
  • Revision problems midterm 2
• Revision Problems for the Final
  • Final

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