Math103A/GEAI1215A Linear Algebra I | 線性代數(一)


Announcements


Course Info top

Textbook

Linear algebra notebook
   Jephian Lin

Linear Algebra [ pdf answers ]
   Jim HefferonCourse website

Further Resources

Essence of linear algebra
   3Blue1Brown

LA Tea: 利用喝杯茶的時間,來聊點線性代數吧!

Linear Algebra Done Right
   Sheldon Axler

Learning objectives

The notion of points, lines, and planes can be generalized into affine subspaces in a higher-dimensional space. This course will revisit some vector/matrix algebra, learn the definition of an affine subspace, and use it to describe the solution set of a system of linear equations. Moreover, we will learn how to build a coordinate system (basis) on an affine subspace and determine its dimension. Lastly, we will introduce the linear functions and how to use matrices to represent them.

Outlines

Evaluation

3*20% Exams + 3*5% Quizzes + 15% Participation + 10% Active Learning


Tentative Schedule top

Calendar


Homework/Quiz top

Homework will be assigned during the class and will be counted toward the participation scores.

Active learning: Learn actively and regularly. Reflect on what you have learned. Post a photo on Padlet, write a few sentences about what you have learned, and leave your student IDs. Names are optional. Each post counted as 0.25 point.

Quizzes: The question type of each quiz will be given but the numbers will be different. No partial credits for quizzes. However, within the two weeks (and before the final exam) after a quiz is given, you may ask for extra tests of the same question type. Your score for a quiz is the average of all tests you have taken under the same question type. Note: If you missed the quiz in class, that counts as a zero.

For example, you missed Quiz 1 in class, and you asked for 3 extra tests and get 2 of them correct, then your score for Quiz 1 is (0 + 5 + 5 + 0) / 4 = 2.5.

Exams: After each exam, the questions and the sample answers will be uploaded below.


Policies/Ethics top

Accessibility

Students with diverse learning styles and needs are welcome in this course. In particular, if you have a disability/health consideration that may require accommodations, please feel free to approach me.

Grading

Percentage scores will be converted to letter grades according to the university-wide standard table.

Attendance

You are expected to attend the classes.

Missing work

If you miss some course components due to illness, accident, family affliction, or religious observances, please talk to me and provide the documentation. In such cases, the course component is excused, and your course score will be calculated by distributing the weight of the missed item(s) across the other course components. Missing components are limited to at most 20%.

Academic integrity

Do not copy others' work, including others' homework, the textbook, online materials, and others' answers in an exam; if it is really necessary, add proper citations to your references. It makes no point (and gives you no point) if the work is not yours since you learned nothing.