👨‍🏫 Welcome

This is the website of Mathematical Foundations (II). We create this website to

  • Summarize the key concepts of each chapter.

  • Provide the solutions to the selected questions of each chapter.

  • Answer the important questions raised by students.

  • Clarify possible confusions due to language.

This website is maintained by Guangyuan Gao and Yan Cai. If you have any questions, please don’t hesitate to contact us via or .

🖊️ Homework

You should send either a typed document or a scanned/photoed handwritten manuscript to the tutor’s email address . You should show the calculation/proof details in your submitted document.

Please name the subject of your email as your uni id - week number, e.g., u2017201678-week2.

We will select 3-4 students to present their solutions on Monday’s lecture. Please refer to the solution part of this website.

The solutions to homework will be announced in this website.

To get the most of mathematics, you should practice as much as possible. Our homework is far from enough to master the knowledge in the textbook. You are strongly recommended to try all the questions in the textbook.

🤔 Q and A

I will update this section frequently to answer the important questions. You are welcomed to ask questions!

Final result = Homework (60%) + Final exam (40%).

📖 Course Outline

  1. Revision and Warm-up

  2. Sets, Real Numbers and Inequalities

  3. More Functions and Graphs

  4. Limits

  5. Trigonometric Functions

  6. More Integration

  7. Vectors

  8. Matrices