MATH1520AB - University Mathematics for Applications - 2021/22
Announcement
- There is no tutorial in the first week of class.
- Readings for Week 1: [HBSP] A.1-2; 4.1-2; 8.1.
General Information
Lecturer
-
Prof. Yi-Jen LEE
- Office: AB1 412
- Tel: 3943 3715
- Email:
- Office Hours: by appointment (via Zoom or in office)
Teaching Assistant
-
Ms. Yan Wa Clara CHUNG
- Office: AB1 407A
- Tel: 3943 3721
- Email:
- Office Hours: Mon, Wed 9-12 (Please email me beforehand)
-
Mr. Bowen DAI
- Office: AB1 407A
- Tel: 3943 3721
- Email:
- Office Hours: Thur 9:30-11:30 or by appointment
-
Dr. Tsz Lung Abel CHAN
- Office: LSB 228
- Tel: 3943 7955
- Email:
- Office Hours: TBA or by appointment
Time and Venue
- Lecture: 1520A: Mo 12:30PM - 2:15PM William M W Mong Eng Bldg 407; We 12:30PM - 1:15PM Yasumoto Int'l Acad Park LT7. 1520B:Tu 10:30AM - 12:15PM William M W Mong Eng Bldg 407; We 5:30PM - 6:15PM Yasumoto Int'l Acad Park LT6
- Tutorial: 1520-AT01/BT01: We 1:30PM - 2:15PM Yasumoto Int'l Acad Park LT7. 1520-AT02/BT02: We 4:30PM - 5:15PM Yasumoto Int'l Acad Park LT6
Course Description
This course is intended to provide students with a fundamental account of the basic results and theorems of calculus. Topics include: function, limit, continuity; rules of differentiation, maxima, minima, rate of change, applications; basic methods of integration and area; ordinary differential equation; and probabilities.
Class Rules: 1. Full arguments must be given in all quizzes and exams. Write in complete sentences. Correct answers without proper justification will not be credited. Partial credits will be given for correct intermediate steps. No calculators in exams or quizzes. All numbers should be expressed in an exact way: E.g. write 1/3 instead of 0.333...; \pi instead of 3.14159...
2. With the advance approval of both tutorial TAs (Mr. Chan & Mr. Dai), you may attend the other tutorial section instead of your registered one in case of a time conflict. Missed quizzes with adequate justification (certificate from a doctor) can be excused, but no make-up quizzes will be given.
3. Homeworks will be posted weekly on WeBWorK by Wednesdays; due (usually) by Wednesday the following week. A tutorial session consists of 30 minutes of questions and answers, doing examples, followed by a 15 minutes quiz.
Textbooks
- Lecture Notes (posted below)
References
- [HBSP] Laurence D. Hoffmann, Gerald L. Bradley, Dave Sobecki, Michael Price, Applied Calculus for Business, Economics, and the Social and Life Sciences (available for online reading from CUHK library; VPN connection required if not on CUHK network)
- [BZB] Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen, Calculus for Business, Economics, Life Sciences and Social Sciences. McGraw-Hill
Pre-class Notes
Lecture Notes
- Chapter 1: Notation and Functions (Cf. [HBSP] Sections 1.1-1.4)
- Chapter 2: Limits (Cf. [HBSP] Sections 1.5-1.6) -Sep 15-
- Chapter 3: Continuity (Cf. [HBSP] Section 1.6)
- Chapter 4: Differentiation I (Cf. [HBSP] Chapter 2)
- Chapter 5: Differentiation II (Cf. [HBSP] Chapter 2)
- Chapter 6: Applications of Derivatives I (Cf. [HBSP] Chapter 3)
- Chapter 7: Applications of Derivatives II (Cf. [HBSP] Chapter 3)
- Chapter 8: Applications of Derivatives III (Cf. [HBSP] Chapter 3)
- Chapter 9: Indefinite Integrals (Cf. [HBSP] Chapters 5-6)
- Chapter 10: Definite Integrals (Cf. [HBSP] Chapters 5-6) -Nov 17-
- Chapter 11: Ordinary Differential Equations (Cf. [HBSP] Sections 9.1-9.3)
- Chapter 12: Probability (Cf. [HBSP] Chapter 11)
Class Notes
- Sept 6
- Sept 8
- Sept 13
- Sept 15
- Sep 21
- Sep 27
- Sep 29
- Oct 4
- Oct 6
- Oct 11
- Oct 18
- Oct 20
- Nov 23
- Nov 24
- Nov 30
- Dec 1
Tutorial Notes
Quizzes and Exams
Assessment Scheme
Weekly Homework via WeBWorK | 10% | |
(basically weekly) Quizzes (15 minutes) in Tutorials | 20% | |
Midterm Exam (45 minutes) on October 27 in class (lecture) | 25% | |
Final Exam on 14 Dec 202117:30-19:00 at New Asia College Gymnasium | 45% |
Useful Links
- Homework via WeBWork (login with Student ID & CWEM password)
- Tips on entering answers on WeBWorK
- Math department grade descriptors (requires CUHK network or VPN)
- "Range" of a function--different conventions
- Definitions of critical points, absolute extrema etc
- Definition of critical points
- Definitions of critical points, critical values
- Definition of inflection points
- Proper/improper rational functions; partial fractions
- Partial fractions decomposition; fundamental theorem of algebra (1)
- Partial fractions decomposition; fundamental theorem of algebra (2)
- Partial fractions and integrating rational functions
- An application of differential equations: modeling COVID-19
- Coronavirus Cases
- MathGym
- Project based learning platform in Calculus
- Smart C3 based learning platform
Honesty in Academic Work
The Chinese University of Hong Kong places very high importance on honesty in academic work submitted by students, and adopts a policy of zero tolerance on cheating and plagiarism. Any related offence will lead to disciplinary action including termination of studies at the University. Although cases of cheating or plagiarism are rare at the University, everyone should make himself / herself familiar with the content of the following website:
http://www.cuhk.edu.hk/policy/academichonesty/and thereby help avoid any practice that would not be acceptable.
Assessment Policy Last updated: December 01, 2021 16:54:50