MATH1520C  University Mathematics for Applications  2019/20
Announcement
 Announcement on tutorial arrangements: [Download file]
 Material on trig functions: These will not appear in quizzes or (midterm and final) exams, but may appear in homework. Updates: Trig function problems will not count towards the final course grade. However, to be fair to students who did and solved them, they count as extra credits. E.g. If you do all problems right in a PS which contains 21 questions among which 1 involves trig functions, your grade for that PS would be 21/20 (out of 1 total).
 ODE (L 11) and Probability (L12): These topics will not appear on the final exam, though ODE will still be covered in class.
 Updates on the exams and assessment scheme: The midterm exam is cancelled. As a result, the 30% weight of the midterm exam towards the course grade is redistributed to the homework, quizzes, and the final exam. The final exam will be open book and not invigilated; your will submit your answers to Blackboard as is done in quizzes. The date and time of final exam is still to be arranged by the registrar.
 Virtual Office Hours/Review Sessions: Apr 28 (Tue) tutorial; Apr 29 (Wed) 11:45pm; May 5 (Tue) 10:3012pm
General Information
Lecturer

Prof. YiJen LEE
 Office: AB1 412
 Tel: 394 33715
 Email:
 Office Hours: Thu 2:303:30pm
Teaching Assistant

Mr. Lok Tung LI
 Office: AB1 407A
 Tel: 394 33721
 Email:
 Office Hours: Mon 3:304:30pm

Mr. Liu Yin IU
 Office: AB1 407B
 Tel: 394 33720
 Email:
 Office Hours: Wed 1:002:00pm
Time and Venue
 Lecture: Tu 10:30AM  12:15PM/ Yasumoto Int'l Acad Park LT6; Th 1:30PM  2:15PM/ Yasumoto Int'l Acad Park LT8
 Tutorial: Section 1: Tu 12:30PM  1:15PM/ Yasumoto Int'l Acad Park LT6; Section 2: Th 12:30PM  1:15PM/ Yasumoto Int'l Acad Park LT8
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.
Textbooks
 For references only: Lecture notes from previous years (see "Lecture Notes" below) Watch out for errors!
 Laurence D. Hoffmann and Gerald L. Bradley, Applied Calculus for Business, Economics, and the Social and Life Sciences
Preclass Notes
 Warmup Exercises
 Warmup Exercises Solutions
 Preliminary Material: Exponential and logarithimic functions
Lecture Notes
 L1 Notation and Functions
 L2 Limit
 L3 Continuity
 L4 Differentiation I
 L5 Differentiation II
 L6 Application of Derivatives I (Caveat: Quite a few errors!)
 L7 Application of Derivatives II
 L8 Application of Derivatives III
 L9 Indefinite Integral
 L10 Definite Integral
 L11 Ordinary Differential Equation
 L12 Probability
 [Hoffmann et al.] 8.18.2 (Trig functions and their derivatives)
 [Hoffmann et al.] Examples of applicaitons to modelling
 [Hoffmann et al.] A brief integral table
Class Notes
 Lecture Notes Feb 18, 2020
 Lecture Notes Feb 20, 2020
 Lecture Notes Feb 25, 2020
 Lecture Notes Feb 27, 2020
 Lecture Notes Mar 3, 2020
 Lecture Notes Mar 5, 2020
 Lecture Notes Mar 10, 2020
 Lecture Notes Mar 12, 2020
 Lecture Notes Mar 17, 2020
 Lecture Notes Mar 19, 2020
 Lecture Notes Mar 24, 2020
 Lecture Notes Mar 26, 2020
 Lecture Notes Apr 7, 2020
 Lecture Notes Apr 9, 2020
 Lecture Notes Apr 14, 2020
 Lecture Notes Apr 16, 2020
 Lecture Notes Apr 21, 2020
 Lecture Notes Apr 23, 2020
 Lecture Notes Apr 28, 2020 (corrected and expanded)
 Examples from the virtual office hour on May 5
Tutorial Notes
 Tutorial 1
 Tutorial 2
 Tutorial 3
 Tutorial 4
 Tutorial 5
 Tutorial 6
 Tutorial 7
 Tutorial 8
 Tutorial 9
 Tutorial 10
 Tutorial 11
Assignments
 Weekly problem sets on: http://webwork.math.cuhk.edu.hk/webwork2/MATH1520C (except for the midterm weeks). Posted every Thursday evenings/Friday mornings; due the following Thursday. See "Useful links" below for login and tips for entering answers.
 Additional assignments for the 1st week: Review: Do the Warmup exercises and review the preliminary material in "Preclass notes". Read also [Hoffmann et al.] Sections A.12; 4.14.2; 8.1
 PS1 posted on WeBWorK (link under "Useful links" below); due Jan 23 by noon. Material covered: Lecture Notes L1 up to (and including) Section 1.4.
 PS2 posted on WeBWorK (link under "Useful links" below); due Jan 23 by noon. Material covered: Lecture Notes Sections 1.5, 2.1, 2.2. If you are on the waiting list or just added the course, email me your full name and student ID so that I may manually add you to the Webwork class list. (Different from the registrar's official class roster.)
 PS3 posted on WeBWorK (link under "Useful links" below); due Feb 6 by noon. Material covered: Lecture Notes Sections 2.32.5; Entire L3 except for 3.2.23.2.3. If you are on the waiting list or just added the course, email me your full name and student ID so that I may manually add you to the Webwork class list. (Different from the registrar's official class roster.)
 PS4 posted on WeBWorK (link under "Useful links" below); due Feb 27 by noon. Material covered: Lecture Notes 3.2.23.2.3; entire L4; Derivatives of trig functions (cf. [Hoffmann et al.] Sections 8.18.2; available in "Lecture Notes section above") If you are on the waiting list or just added the course, email me your full name and student ID so that I may manually add you to the Webwork class list. (Different from the registrar's official class roster.)
 PS5 posted on WeBWorK (link under "Useful links" below); due Mar 5 by noon. Material covered: Lecture Notes L5; Inverse trig functions (Some references are given in "Useful links" below.)
 PS6 posted on WeBWorK (link under "Useful links" below); due Mar 12 by noon. Material covered: L'Hopital's rule (Lecture Notes 6.1)
 PS7 posted on WeBWorK (link under "Useful links" below); due Mar 19 by noon. Material covered: Monotonicity, local and global extrema (Lecture Notes 6.2)
 PS8 posted on WeBWorK (link under "Useful links" below); due Mar 26 by noon. Material covered: L7
 PS9 posted on WeBWorK (link under "Useful links" below); due Apr 2 by noon. Material covered: L8; indefinite integrals of some basic functions (first 3 pages of L9).
 PS10 posted on WeBWorK; due Apr 16 by noon. Material covered: L9 except integrals of rational functions whose denominator is a quadratic polynomial with determinant less than or equal to 0.
 PS11 posted on WeBWorK; due Apr 23 by noon. Material covered: L10 , Sections 10.1 and 10.2 only; Integrating more general rational functions.
 PS12 posted on WeBWorK; due Apr 30 by noon. Material covered: L10 , remaining sections.
Quizzes and Exams
 Final Exam: 06 May 2020 Wednesday 12:3014:00 (draft version, cf. http://timetable4.cuhk.edu.hk/ExamReportsres/ ) The final exam will be open book and not invigilated.
 Weekly quizzes held in Tutorials
 Practice Final Exam
 Practice Midterm 1
 Practice Midterm 2
 Solutions to Practice Midterm 1
 Solutions to Practice Midterm 2
 Solutions to the Practice Final Exam (corrected)
Solutions
 Tutorial 1 Solution
 Tutorial 2 Solution
 Tutorial 3 Solution
 Tutorial 4 Solution
 Tutorial 5 Solution
 Tutorial 6 Solution
 Tutorial 7 Solution
 Tutorial 8 Solution
 Tutorial 9 Solution
 Tutorial 10 Solution
 Tutorial 11 Solution
Assessment Scheme
To 10 (in terms of your grades) Problem sets on WebWork; 2% each  20%  
Top 10 quizzes in Tutorials; 3% each  30%  
Final exam  50%  
The letter grades are given following the Math Department's grade descriptors; see "Useful links" as well as "Assessment Policies" below. (Both require CUHK network or VPN ) Apologies: On April 23 I mistakenly stated that the grades would be curved. Please ignore that!  % 
Useful Links
 WeBWorK: Login name/Initial Password: Your student ID (numbers only)
 Tips on entering answers on WeBWorK
 Basics on inverse trig functions
 Derivatives of inverse trig functions
 An application of differential equations: modeling COVID19
 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 (1)
 Proper/improper rational functions; partial fractions (2)
 Partial fractions decomposition; fundamental theorem of algebra (1)
 Partial fractions and integrating rational functions
 Partial fractions decomposition; fundamental theorem of algebra (2)
 Math department grade descriptors (requires CUHK network or VPN)
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: May 05, 2020 14:08:48