MAT 401 Advanced Analysis I

General Info

• Time: Mon, Wed 10:00--11:15
• Classroom: SAC 2105

Prerequisites MAT 211 and MAT 271 or equivalent with a "C" grade or better.

Course description Elements of set theory, sequences and series. We study continuous functions, and differentiable functions in a single real variable.

Schedule (The references are sections in the textbook)

Week 01	A.1, B.1	Week 02	C.1, 1.1
Week 03	Labor Day (09/07), 1.2	Week 04	2.1, 2.1
Week 05	2.2, 2.3	Week 06	2.3, Test 01 (9/30)
Week 07	2.4, 2.4	Week 08	2.4, 3.1
Week 09	3.2, 4.1	Week 10	4.2, 4.3
Week 11	4.4, 5.1	Week 12	5.1, 5.3
Week 13	5.4, Test 02 (11/18)	Week 14	Fall Recess + Thanksgiving
Week 15	5.4 Review	Week 16	Final Exam Dec 14 10:00--12:00

Textbook and references

• (Textbook) Analysis for Beginners by Wai-Yan Pong
• Basic Analysis I by Jiří Lebl. More or less at the same level of the textbook.
• Introduction to Analysis by Maxwell Rosenlicht. A classic. Building the theory on complete metric spaces.

Homework  Should be typed in MarkDown with LaTeX using Google Colab.

Course Management Canvas

LaTeX is a widely use tool for typesetting for math documents. Here are a quick summary and a Learn LaTeX in 30 minutes.

Grading Scheme: HW 20%, Tests 50%, Final 30%

Learning Outcomes: Please refer to this section.

Other Info: For policies on academic integrity, accommodation for students with disabilities, due dates and make-up work, etc., consult this page .