MATH1520C - University Mathematics for Applications - 2020/21
Announcement
- Readings for Week 1: [HBSP] A.1-2; 4.1-2; 8.1.
- Midterm Instructions: Read immediately and make proper advance preparations! [Download file]
General Information
Lecturer
-
Prof. Yi-Jen LEE
- Office: AB1 412
- Tel: 39433715
- Email:
- Office Hours: via Zoom (see Blackboard for link), Wednesdays 8pm or by appointment
Teaching Assistant
-
Ms. Yan Wa Clara CHUNG
- Office: AB1 407A
- Tel: 3943 3721
- Email:
- Office Hours: via Zoom (see Blackboard for link), Wednesdays 8pm or by appointment
-
Mr. Yu Tung Tony YAU
- Office: AB1 505
- Tel: 3943 4298
- Email:
- Office Hours: via Zoom (see Blackboard for link), Wednesdays 8pm or by appointment
Time and Venue
- Lecture: Tue 10:30am-12:15pm; Thur 1:30-2:15pm; see Blackboard for Zoom link
- Tutorial: Tue & Thur 12:30-1:15pm; see Blackboard for Zoom links
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 TAs, 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 Friday; due (usually) by Friday the following week. A tutorial session consists of 25 minutes of questions and answers, doing examples, followed by a 20 minutes quiz.
Textbooks
- Lecture Notes (based on previous semesters')
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) -Jan 26-
- Chapter 3: Continuity (Cf. [HBSP] Section 1.6) -Feb 2-
- Chapter 4: Differentiation I (Cf. [HBSP] Chapter 2) -Feb 5-
- Chapter 5: Differentiation II (Cf. [HBSP] Chapter 2) -Feb 20-
- Chapter 6: Applications of Derivatives I (Cf. [HBSP] Chapter 3) -Mar 4-
- Chapter 7: Applications of Derivatives II (Cf. [HBSP] Chapter 3) - Mar 4-
- 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)
- Chapter 11: Ordinary Differential Equations (Cf. [HBSP] Sections 9.1-9.3)
- Chapter 12: Probability (Cf. [HBSP] Chapter 11)
Class Notes
- 12 Jan 2021 (Recording link on Blackboard)
- 14 Jan 2021 (Recording link on Blackboard)
- 19 Jan 2021 (Recording link on Blackboard)
- 21 Jan 2021 (Recording link on Blackboard)
- 26 Jan 2021 (Recording link on Blackboard)
- 28 Jan 2021 (Recording link on Blackboard)
- 2 Feb 2021 (Recording link on Blackboard)
- 4 Feb 2021 (Recording link on Blackboard)
- 9 Feb 2021 (Recording link on Blackboard)
- 18 Feb 2021 (Recording link on Blackboard)
- 23 Feb 2021 (Recording link on Blackboard)
- 2 Mar 2021 (Recording link on Blackboard)
- 4 Mar 2021 (Recording not available)
- 9 Mar 2021 (Recording link on Blackboard)
- 11 Mar 2021 (Recording link on Blackboard)
- 16 Mar 2021 (Recording link on Blackboard)
- 18 Mar 2021 (Recording link on Blackboard)
- 23 Mar 2021 (Recording link on Blackboard)
- 25 Mar 2021 (Recording not available)
Tutorial Notes
- Available from Blackboard, together with recordings.
Solutions
- Solutions to the quizzes are available from Blackboard
Assessment Scheme
Weekly Homework via WeBWork | 10% | |
(almost weekly) Quizzes (20 minutes) in Tutorials | 20% | |
Midterm Exam (45 minutes, in class on Feb 25) | 25% | |
Final Exam:10 May 2021 (Monday) 15:30-17:00 | 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)
- 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
- "Range" of a function--different conventions
- MathGym
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: March 25, 2021 14:25:24