MATH 3A

Class Information

• MATH 3A Lec D
• Introduction to Linear Algebra
• Course Code: 44340
• Term: Spring Qtr 2016

Meeting Information

• Room: MSTB 124
• 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

TA Information

• Luke Fredericks
• Email: lrfreder@math.uci.edu
• Office Hours Location: 250 Rowland Hall
• Office Hours: Monday and Wednesday 2pm-4pm

Grader Information

• Joseph Squillace
• Email: josephps@uci.edu
• Office Location: 440V Rowland Hall
• Office Hours: Tuesdays 9-11am

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. Among the compulsory exercises a radomized subsample will be graded

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 and Program: 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. This class will have some extra credit assigments in which you will learn 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%: Quizzes
• 30%: Midterms: 15% Wednesday 04/20/2016 and 15% Friday 05/13/2016.
• 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 04/20/2016 to be uploaded in the dropbox in the eee page of the class)
• Matlab homework 2 (Due 05/12/2016 to be uploaded in the dropbox in the eee page of the class)
• Matlab homework 3 (Due 06/03/2016 to be uploaded in the dropbox in the eee page of the class)

Homeworks/Assignments :

• HW1: deadline 04/05/2016 (you will hand them in class)
  • Recommended
    • 1.1: 15-16, 26-32
    • 1.2: 1-13
    • 1.3: 1-3, 26-29, 32-34
  • Compulsory:
    • 1.1: 1, 4, 11, 14, 23, 25
    • 1.2: 14, 17, 20, 25, 26, 27
    • 1.3: 1, 3, 6, 12, 13, 18, 22, 26, 30
• HW2: deadline 04/12/2016 (you will hand them in discussion)
  • Recommended
    • 1.4: 1-5, 32-36
    • 1.5: 1-14
  • Compulsory:
    • 1.4: 12, 13, 16, 21, 26
    • 1.5: 5, 10, 12, 16, 22
• HW3: deadline 04/19/2016 (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: 2, 6, 12, 15, 16, 20, 35, 37, 38
    • 1.8: 6, 12, 19, 20, 33, 35
    • 1.9: 4, 6, 15, 18, 22, 23, 26
• HW4: deadline 04/26/2016 (you will hand them in discussion)
  • Recommended
    • 2.1: 17-26
    • 2.2: 15-28
    • 2.3: 32-40
  • Compulsory:
    • 2.1: 1, 3, 8, 10, 15, 16, 20, 23, 27, 28 30, 31, 33
    • 2.2: 5, 8, 9, 10, 15, 16 , 21, 22, 24
    • 2.3: 13, 14, 31
• HW5: deadline 05/03/2016 (you will hand them in discussion)
  • Recommended
    • 2.3: 32-40
    • 2.4: 15-18, 21-23, 25
    • 2.8: 27-36
  • Compulsory:
    • 2.3: 1, 4, 11, 12, 13, 14, 20, 21, 27
    • 2.4: 16, 18, 19, 20, 24
    • 2.8: 11, 12, 21, 22, 24
    • 2.9: 15, 16, 17

Material :

Campus Resources

Academics

• Academic Honesty policies

Libraries

• Research resources

Computing

• Computing labs