For notes in the past years (i.e. 2014-2015, 2015-2016, 2016-2017), please click here.
Current Notes
2017-2018 Summer
MATH 2411 - please ignore the dates on the notes:
20180621 blank notes 1 / answers to in-class exercises / full solution
20180628 blank notes 2 / answers to in-class exercises / full solution
20180705 blank notes 3 / answers to in-class exercises / full solution
20180712 (no new notes) / answers to in-class exercises
20180719 blank notes 4 / answers to in-class exercises / full solution
20180802 notes 5 & notes 6 / answers to in-class exercises / solution 5 & solution 6
2017-2018 Spring
It's now 2018 and welcome to the course MATH 1014 or MATH 2741. In a new semester, please make sure that you get back everything from the pre-requisite(s), better in the first two weeks; or otherwise it would unfortunately be another tough semester. Ready or not, time still flies~
For both courses, Kitty is trying something new according to SFQs (those reasonable ones) as well as feedbacks (maybe given face-to-face) from her previous students. Here are the lists of measures she is going to take:
In MATH 1014, Kitty is voice taping herself during class so that students can listen to how the examples were done when they do revisions. However as this may involve some background sounds such as students' voice, therefore she would only post it starting from Week 3 if there is no objection raised by her students.
In MATH 2741, Kitty is setting up a mini-library with a collection of basic geometry books/references. Hopefully the secondary school texts (up till AL Pure Maths) would help you with the first few weeks while some IMO related readings could get you through the latter part(s) of the course. Although you may find extra examples and exercises from them, trial-and-error is the most important spirit/idea in finishing all pieces of work in this course.
All in all, aids are just something assisting those who study. They help you to get onto the right track(s) and hence prevent you from wasting too much effort, but are nothing if you choose not exercising yourself(es).
MATH 1014: MATH 2741 extra exercise, please click here.
Tutorial notes up till Week 6 is now available here, or here for those who is not officially enrolled. A coloured version of solutions to most of the problems are here.
Tutorial notes for the whole course MATH 1014 is now available here, or here for those who is not officially enrolled in L07.
20180209 (week 02) audio / notes 1, 2 and 3 | P.1, 2, 3
20180223 (week 04) audio / notes 1, 2a, 2b, 3 and 4 | P.3, 4, 5, 6
20180302 (week 05) audio / notes 1, 2, 3 and 4 | P.7, 8, 9, 10
20180309 (week 06) audio / notes 1, 2 and 3 | P.11, 12, 13
20180316 (week 07) audio / notes 1, 2 and 3 | P.13, 14, 15
20180323 (week 08) audio / notes 1, 2a, 2b, 3, 4, 5a and 5b | P.16, 17, 18, 19, 20
20180406 (week 09) audio / notes 1, 2, 3 and 4 | P.22, 23, 24, 25
20180413 (week 10) audio / notes 1, 2 and 3 | P.26, 27, 28
20180420 (week 11) audio / notes 1, 2 and 3 | P.29, 30, 31
20180427 (week 12) audio / notes 1, 2 and 3 | P.31, 32, 34
20180504 (week 13) audio / notes 1, 2, 3, 4 and 5 | P.34, 35, 37, 38, 39
20180511 (week 14) audio / notes 1, 2, 3, 4, 5 and 6 | P.40, 41, 42, 43, 44, 45
2017-2018 Fall
Definition of a tutorial week for this semester, Fall 2017-2018:
Week 01: 2017.09.04 - 2017.09.08 Week 08: 2017.10.23 - 2017.10.27
Week 02: 2017.09.11 - 2017.09.15 Week 09: 2017.10.30 - 2017.11.03
Week 03: 2017.09.18 - 2017.09.22 Week 10: 2017.11.06 - 2017.11.10
Week 04: 2017.09.25 - 2017.09.29 Week 11: 2017.11.13 - 2017.11.17
Week 05: 2017.10.03 - 2017.10.07 Week 12: 2017.11.20 - 2017.11.24
Week 06: 2017.10.09 - 2017.10.13 Week 13: 2017.11.27 - 2017.12.01
Week 07: 2017.10.16 - 2017.10.20 Week 14: 2017.12.04 - 2017.12.06 (voluntary, tentative)
MATH 1012
MATH 2011
For L1 and L2, we will be focusing on Zeta's notes, with my notes for the 3rd lecture as a supplementary.
For L3, the tutorial in this year is very similar to last year, so we will be using my notes in 2016-2017, with my tutorial notes in 2015-2016 as a supplementary.
Since no further amendments were done on the past notes, please be reminded that there may be some typos and errors in the past notes. Those spotted out already would be announced in class.
The tutorial in this year follows its tradition since 2015, so we will be using the same sets of notes as in 2015-2016 and 2016-2017, with previous notes in 2014-2015 as a supplementary.
Since no further amendments were done on the past notes, please be reminded that there may be some typos and errors in the past notes. Those spotted out already would be announced in class.
Week 1:
In the first tutorial, we are going to have an introduction to our tutorial and the MSC, together with some basic pre-requisites for this course. Please come if you cannot finish a DSE level Math (core part) paper on your own. 20170831
Solutions done in class: T3A T3B T1C T2D* T2A
(*For T2D, there is an amendment after class, on the trigonometric question we did at the end of class.)
Week 2:
All classes will be synchronized to "functions", so T3A and T3B will be on pages 3 (right side ONLY) to 7 on my notes in 2016-2017 while T1C, T2D and T2A will be on pages 12 to 20 on Zeta's notes. 20170908
Solutions: T3A (1, 2, 3) T3B (1, 2, 3) T1C T2D T2A*
(*For T2A, please go to Zeta's video for more details.)
Week 3:
In the coming tutorial, I will continue with pages 5 to 7 of my notes, which was distributed last Monday (so you need NOT to print anything). Also it seems that the contents on today's flipped class are a bit difficult to you, so let's spare some time for that (instead of having another topic). 20170915
Solution: T3A T3B (1, 2, 3) T1C T2D T2A
Week 4:
We are doing limits and Kitty will prepare the notes.
Kitty was sick and made some mistakes on Monday, and here are some corrections to what she wrote.
Week 5 (with Monday and Thursday as public holiday)
Solution: T1C (whiteboard) extraT T2D
Week 6: Differentiation is started.
Week 7 solution: T3A (1, 2, 3, 4, 5, 6)
Week 1:
No class but please (p)review if you have forgotten (or not yet learnt) anything related to parabolas, ellipses, or hyperbolas. 20170831
Week 2 / Tutorial 1:
In the first tutorial, we are going to have an introduction to Quadratic Surfaces. Please come with well-revision done before. We will start with conic sections; followed by ellipsoid, elliptic paraboloid, hyperbolic paraboloid, cone, hyperboloid of one (or two) sheet(s), which are all in three-dimensions instead of just two. 20170901
Conclusion in one line:
You need to know the resulting curve of intersecting of different surface in/for the exam.
Week 3 (Tutorial 2) solutions: T3D T3C T3A T2B
Conclusion:
Please familiarize yourselves with the meaning of cross product and dot product, as well as the calculations and usages of them.
Week 4 (Tutorial 3):
The contents include: all distances in 3-D, derivatives and tangent vector in 3-D. 20170923
Week 5 / Tutorial 4 (no T3D due to public holiday)
Week 6 (Tutorial 5): Partial derivative is started.
Week 7 (Tutorial 6) solutions: T3D T3C T3A T2B
Pastpaper: see email link
Week 8 solution: T3A T3B T1C T2D T2A
Week 9 solution: T3A T3B T1C T2D T2A
Week 10 solution: T3A (1, 2, 3) T3B
Week 11 solution: T3A T3B T1C T2D T2A
Week 12 solution: T3A T3B T1C T2D T2A
Week 8 / Tutorial 7 (1-to-1 tutorial for T3A)
Week 9 (Tutorial 8): Double Integral
(3 students came to T3A and I wrote on their notes)
Week 10 / Tutorial 9 (no student came to T3A)
Week 11 (Tutorial 10): Integrating Vector Field
Week 12 (Tutorial 11): Green's Theorem
Week 13 (Tutorial 12): Surface Integral
To do surface integral more easily, we have the Divergence Theorem which is on tutorial notes 13.
Solutions: T3D T3C (3) T3A (2) T2B (no class)
Past Notes
MATH 1003 Calculus and Linear Algebra (2016-17 Fall)
MATH 1012 Calculus IA (2015-16 Fall) (2016-17 Fall)
MATH 1013 Calculus I / Calculus IB (2014-15 Fall & Spring) (2015-16 Fall)
MATH 1014 Calculus II (2014-15 Spring) (2016-17 Spring)
MATH 2011 Intro. to Multi-variable Calculus (2014-15 Fall)
MATH 2411 Applied Statistics (2014-15 Summer) (2016-17 Summer)
MATH 2741 Geometric Constructions (2014-15 Spring) (2015-16 Spring) (2016-17 Spring)