This is a new page for school year 2016-2017. (And a new set of notes will be available, so please stay tune.)
Notes used in the past would still be available at Kitty's another site at http://s1114001.wixsite.com/beyond-edcity-and-xg/kitty-s-notes so no worries if you were one of my students before summer 2016 :>
Notes for MATH 1003 and MATH 1012
MATH 1003 notes: Part 2 and Part 3
Revision Notes for:
MATH 1003 midterm 1 (Done on Week 5)
MATH 1012 midterm (Done on Week 7)
MATH 1003 midterm 2
(similar to 1012 midterm) (Done on Week 10)
Final Exams of both (1003 and its answer
1012 and its answer)
General announcements (say midterm and final exams)
- For office, office hours and special hours, please click contact
- Unlike other courses, we will NOT skip Week 1
- Details of extra Cantonese tutorials were sent to your UST mailbox
- [MATH 1003] If you know the time and venue of midterm 1, please tell me after class face-to-face, thank you very much (200161005.0530)
- There are around 10 hard-copies of Pages 1 to 12 of MATH 1012 notes, which is mainly related to pre-Calculus stuffs, at my office. If students of MATH 1012 do not get them in this week, then I would distribute them to students of MATH 1003, according to the first-come-first-served basis (20161005.0600).
Below you may find the answer keys to the problems we didn't finish on class, sorted by week.
You are strongly recommended to finish the exercises by yourself within a week or at most two. Otherwise it could be very difficult for you to catch up with the content again.
(Of course you are free to try so if you don't care about the grade.)
Week 1 - Introduction
September 2nd - 8th
Course (contents, rundown, notes and answer) + preview, aka "Ch.0"
Our lessons (when, where, who, etc.)
Grading scheme
Online system (WebWork for MATH 1003 and Canvas for MATH 1012)
Week 2 - Financial Math // Functions
September 9th - 15th
This week we are going to have
1003: mortgage, annuity & refinance (that's all about financial math)
1012: completing square, definition of function, domain & range
Week 3 - Matrices // Inverse Function
September 19th - 23rd
This week we are going to have
1003: row operations of matrices P.4, P.5, P.6
1012: inverse function P.6, P.7
Week 4 - System of Equations // Last part of Ch.0
September 26th - 30th
This week we are going to have
1003: solving system of equations P.6, P.7, P.8
1012: everything before limits
In fact, we did some examples on limits, to save time for differentiation P.8, P.9, P.10
Week 5 - Differentiation // Limits
October 3rd - 7th
This week we are going to have
1003: differentiation
Instead of differentiation, we did revision on Midterm 1 during this week; for the 2 students who wished to have differentiation, please feel free to drop by the Math Support Center during my duty hours to ask for the content of the week.
1012: limits
Also the hard-copies of Pages 13 to 24 of the tutorial notes were distributed, for those who wishes to obtain a hard-copy but did not come this week, please come to the class next week.
MATH 1014
Tutorial Notes (in pdf format)
Until: February / March / April / whole set
Answer Key / solution:
Week 01 (February 01 - 03): no tutorial
Week 02 (February 06 - 10): P.1, P.2, P.3
Week 03 (February 13 - 17): P.2, P.3, P.4, P.5, Exercises 4, 5, 6
Week 04 (February 20 - 24): P.6, P.7, P.8, P.9, Ex.9, Ex.10
Week 05 (Feb. 27 - Mar. 03): P.10, P.11, Ex.11, Ex.12, P.12
Week 06 (March 06 - 10) : P.11, P.12, Ex.13, Ex.14, P.13, Ex.15, P.14
Week 07 (March 13 - 17) : Ex.16-17, P.15, Ex.17-19, P.16, P.17,
Ex.20, Ex.21, P.18, Ex.22, Ex.27-34, P.22,
Week 08 (March 20 - 24) : P.19, Exercise 24 P.20, Ex.25-26,
Week 09 (March 27 - 31) : P.23, P.24, P.25, Ex.45-47, Ex.47-48
Week 10 ( April 03 to 07 ) : P.25, P.26, Exercise 50, P.27, Exercise 51
Week 11 ( April 10 to 21 ) : P.28, Ex.51-52, P.29, P.30
Week 12 ( April 24 to 28 ) : Ex.52-53, P.32, P.33, Ex.54-55, P.35
.
Week 13 ( May 01 to 05 ) : Ex.56-58, P.36, Exercise 59, P.37, P.38
Extra Session - - - May 02 : Answers to Exercise 7.5
Problems 1-16, 17-28, 29-38, 39-49, 50-59, 60-75, 76-84
Week 14 ( May 08 to 09 ) : P.39, Exercise 59, Ex.60-64, P.40, P.41, P.42, P.43, Ex.65-68, Ex.68-72, P.44, Exercise 73, Ex.73-76, Ex.77-81, Exercise 82
Extra Session - - - May 10 : Answers to Exercise 7.8
Week 15 ( May ??, ??, ?? ) : P.
Announcement / Points to note:
+ Week 2:
--- it would be good if you revise everything in MATH 1013 before next time we meet, although I understand that it would rarely be happened
+ Week 3:
--- vote for the definition of a week at here
+ Week 4:
--- please get all stuffs of trigonometric functions back, we will need them since next week till the end of this semester; also, we define a week using plan A
+ Week 5:
--- Friday's class reached P.10 only, we would con't with E.g.13 next week
--- Arrangement for Monday's class: e.g. 11, 12 on March 6th and e.g. 13, 14 on March 13th, at the Math Support Center. Please check in with your student ID card at the entrance.
+ Week 6:
--- Not much time left so we would fix to the following next week:
------------ 05 mins : everything on P.13
------------ 10 mins : everything on P.14
------------ 15 mins : Ex. 17(a), 18(a), 19(d) on P.15
------------ 05 mins : E.g. 19 on P.16
------------ 10 mins : E.g. 20 on P.16-17
---- (time remains: part of E.g. 21 on P.17)
--- and see if we could reach E.g.21. After a few class when I get your progress, I would try to upload the remaining part (most likely to be e.g. 21) for your self-study before the midterm happens.
+ Week 11(a):
--- We finished up to absolute convergence test after this week.
--- Next week contents: 11.6 Ratio and Root Tests
------ ------ ------ ------ ------ 11.8 Power series
------ ------ ------ ------ ------ 11.10 Taylor series and Maclaurin series
+ Week 11(b):
--- Please vote for the time-slots of extra tutorial by April 20th, 2359
+ Week 11(c):
--- According to the voting results, we would have extra tutorials at:
------------ xxx on xxx (time slot xx),
------------ xxx on xxx (time slot xx), and
------------ xxx on xxx (time slot xx).
+ Week:
--- Sample:
+ Week:
--- Sample:
+ Week:
--- Sample:
MATH 2741
Answer / steps to construct the points, lines, angles, circles, polygons, regions, etc. required by the classwork
All comments on Canvas.
MATH NOTES
Courses
MATH xxxx
1003 Calculus and Linear Algebra
1012 Calculus IA
1013 Calculus I / Calculus IB
1014 Calculus II
2011 Intro. to Multivariable Cal.
2411 Applied Statistics
2741 Geometric Constructions
Language Policies
Usually local students (especially 1012 students) would like to have Cantonese as the medium of instructions.
However there may be some students who only speaks English.
So, at the very beginning of EACH class (EACH WEEK), Kitty would ask to see if there is/are any non-local students.
We would use Cantonese ONLY IF there is NO international students in the classroom.
Notes used
in the past
Notes for
2016 - 2017
Fall Semester
So, there would be an extra Cantonese class for local students (actually non-locals are also welcome as long as you understand ^^). Here is the policy for each course:
. . . .
MATH 1003:
Once (either Wed/Thur/Sat, we will vote for the date each time, and I would explain about the voting system on the first class) every two to three weeks, Kitty would be conducting a Cantonese class with the past contents on her notes.
There would be a total of 3 to 5 extra cantonese classes, depending on your reactions / responses.
. . . .
MATH 1012:
As I am teaching only two tutorials of MATH 1012 in this semester, Zeta (who is teaching 5 classes) would be conducting these extra cantonese classes instead. As far as I know, he is going to do it every Friday 1900-2000 when it is a normal school day. Venue is to be confirmed, and Kitty would update everyone once it is confirmed.
.
Week 6 - Derivatives // Continuity
October 11th - 17th
1003: 1. e (a) definition
(b) application
(c) natural logarithmic function
2. differentiation (a) definition
(b) application
1012: 1. Intermediate Value Theorem
2. Squeeze / Sandwich Theorem
Week 7 - Differentiation Rules
October 18th - 24th
1003: Power Rule, Addition (Subtraction) Rule
Differentiating e^x, ln x, a^x
1012: Addition (Subtraction) Rule, Product Rule, Quotient Rule
Chain Rule
Differentiating trigonometric functions and absolute value
Differentiating e^x and a^x
Week 8 - Implicit / Logarithmic Differentiations
October 25th - 31st
1003: Product Rule, Quotient Rule, Chain Rule
Implicit Differentiation
1012: Implicit and Logarithmic Differentiation
Week 9 - Graph sketching // Optimization
November 1st - 4th
1003: 1. Rate of change
(a) differentiate the function with respect to time, t
(b) always substitute values at the last step
2. Graph sketching
(a) Meanings of f'(x): (i) f'(x)>0 <=> f is increasing
(ii) f'(x)<0 <=> f is decreasing
(iii) f'(x)=0 => x is a critical number
(b) Meanings of f''(x): (i) f''(x)>0 <=> f concaves upward
(ii) f''(x)<0 <=> f concaves downward
(iii) f''(x)=0 <=> (x, f(x)) is inflexion pt
(c) Meaning and the usage of asymptotes
(d) How to fill in the table to help in sketching the graph
1012: 1. Rate of change
(a) differentiate the function with respect to time, t
(b) always substitute values at the last step
2. Optimization
(a) local extremum: check out when f'(x) = 0
(b) (i) local min. iff f ' (x - 𝛿) < 0 < f ' (x + 𝛿) for small 𝛿 > 0
(ii) local max. iff f ' (x - 𝛿) > 0 > f ' (x + 𝛿) for small 𝛿 > 0
(c) absolute extreme: compare local extremum & endpoints
Week 10 - Optimization // l'Hôpital's rule
November 7th - 11th
1003: 1. Remaining part of Graph Sketching
2. Optimization: (a) Set f'(x) = 0 and find x (say x=a)
(b) Find f''(x) and check whether f''(a) is + or -
P.7, P.8, P.9, P.10, P.11, P.12
1012: 1. l'Hôpital's rule and its application
2. Calculations of limits where l'Hôpital's rule is useless
.
Week 11 - Integration // Graph sketching & Optimization
November 14th - 18th
1003: Integration & Integration by Substitution
1012: Graph sketching & Optimization
Week 12 - Definite Integral, FTC, Area // Anti-derivative & Area
November 21st - 25th
1003: Definite Integral, FTC, Area, (started integration by part)
1012: Anti-derivative and Area
Week 13 - Integration by Part // Definite Integral, FTC, Net Change
November 28th - December 1st
1003: Integration by Part
1012: Definite Integral, FTC, Net Change
(In class, we will do examples 62, 64, 65(a), 68, 69(d), 71(d), 72
Example 65(b)(c) are similar to (a)
Example 66 and 67 are similar to the exercise in flipped class
Example 69 (a)(b)(c) are similar to (d)
Exercise 71 (a)(b)(c) are similar to (d) and flipped class exercise)
Week 14 - Conclusion + Revision
December 5th & 8th (Voted here, dued on November 24th)
1003: Everything about Integration:
(a) polynomial with power not equaling to -1
(b) x ^ {-1}
(c) exponential function
(d) substitution
(e) by part
(f) by part for a few times (not only once or twice)
And differentiation!!!!!!!!!!
1012: 1. Implicit differentiation
2. Logarithmic differentiation
3. Graph sketching
4. Optimization
5. Integration: (a) polynomials, exponential & trigonometric fn
(b) substitution, esp. trigonometric substitution
(c) usage of FTC in looking for summation
(d) by part, maybe once or twice or many times
P.37, P.38, P.39, P.40, P.41, P.42, P.43, P.43 (cont'd)
Revision: P.1, P.2, P.3, P.4, P.5, P.6, P.7, P.8, P.9, P.10
Notes for
2016 - 2017
Spring Semester
MATH 2411
Tutorial Notes (in pdf format)
20170630: Notes 01 and its Answer or Answer and Solution
20170707: Notes 02 and its Answer and Solution
20170710: Midterm Revision and its Solution
20170714: Notes 03 and its Answer and Solution (revised)
20170721: Notes 04 and its Answer and Solution
20170728: Notes 05 and its Solution and Answer
20170804: Notes 06 and its Solution (revised again) and Answer
20170808: Final Exam Revision and its Solution