This H2 Math Syllabus 9740 Topical Crash Course is designed to help busy students prepare sufficiently for the H2 Math A-Level Exam in 2016. Conducted by an experienced JC Math Tutor, this course aims to help students understand, master and apply the key concepts tested in the H2 Math Exam.
DUE TO ADDITIONAL REQUESTS, NEW DATES HAVE BEEN ADDED.
From 3/10 to 31/10, 1-1 or group lessons are also available from 10 am – 12 pm or 1 pm – 3 pm for students on study leave. Fee is $200 per 2-hr lesson. Fee can also be shared between 2 or 3 students.
Dates, Days, Timing and Topics of the various sessions:
| DATE | DAY | TIME | TOPIC | CODE |
| 10/10 | MON | 8.00 PM – 9.30 PM | FUNCTIONS | H2M1 |
| 12/10 | WED | 8.00 PM – 9.30 PM | GRAPHING TECHNIQUES | H2M2 |
| 29/9 | THUR | 8.00 PM – 9.30 PM | INEQUALITIES & SLE | H2M3 |
| 1/10 | SAT | 11.30 AM – 1.00 PM | SUMMATION OF SERIES | H2M4 |
| 1/10 | SAT | 5.30 PM – 7.00 PM | APGP | H2M5 |
| 2/10 | SUN | 9.30 AM – 11.00 AM | VECTORS (BASICS) | H2M6 |
| 3/10 | MON | 8.00 PM – 9.30 PM | VECTORS (LINES) | H2M7 |
| 19/9 or 5/10 | MON or WED | 8.00 PM – 9.30 PM | VECTORS (PLANES) | H2M8 |
| 8/10 | SAT | 11.30 AM – 1.00 PM | COMPLEX NOS (BASICS) | H2M9 |
| 8/10 | SAT | 5.30 PM – 7.00 PM | COMPLEX NOS (POLAR) | H2M10 |
| 28/9 or 9/10 | WED or SUN | 8.00 PM – 9.30 PM | COMPLEX NOS (LOCI) | H2M11 |
| 17/10 | MON | 8.00 PM – 9.30 PM | DIFFERENTIATION | H2M12 |
| 22/9 | THUR | 8.00 PM – 9.30 PM | MACLAURIN’S SERIES | H2M13 |
| 26/9 | MON | 8.00 PM – 9.30 PM | INTEGRATION TECHNIQUES | H2M14 |
| 15/10 | SAT | 11.30 AM – 1.00 PM | DEFINITE INTEGRALS | H2M15 |
| 29/9 | THUR | 8.00 PM – 9.30 PM | DIFFERENTIAL EQUATIONS | H2M16 |
| 25/9 | SUN | 9.30 AM – 11.00 AM | P&C | H2M17 |
| 2/10 | SUN | 8.00 PM – 9.30 PM | PROBABILITY | H2M18 |
| 22/10 | SAT | 11.30 AM – 1.00 PM | BINOMIAL DISTR | H2M19 |
| 22/10 | SAT | 5.30 PM – 7.00 PM | POISSON DISTR | H2M20 |
| 23/10 | SUN | 9.30 AM – 11.00 AM | NORMAL DISTR | H2M21 |
| 24/10 | MON | 8.00 PM – 9.30 PM | SAMPLING | H2M22 |
| 26/10 | WED | 8.00 PM – 9.30 PM | HYPOTHESIS TESTING | H2M23 |
| 27/10 | THUR | 8.00 PM – 9.30 PM | CORRELATION & REGRESSION | H2M24 |
Location: Blk 644, Bukit Batok Central, #01-68. S(650644).
(Our location is just a 3-min walk from either the Bukit Batok MRT station or the Bukit Batok Bus Interchange. Buses that stop along the roads surrounding our location are numbers 157, 178, 66, 506, 173, 174, 176, 187, 985. Buses services which terminate at Bukit Batok Bus Interchange are 61, 77, 106, 173, 177, 189, 852, 941, 945, 947)
Focus: CONCEPTUAL UNDERSTANDING & APPLICATION OF SKILLS
Format: Teaching + Worksheets + Discussions
Fee: $90 per student per session.
Background of Tutor:
The tutor is a RI & RJC alumnus and a NIE-trained ex-teacher who has been teaching JC Math for 8 years.
TO REGISTER, SMS <STUDENT NAME> , <CODE> TO 97860411.
Note:
(1) As places are limited, pre-payment is necessary to confirm your attendance. You can make cash or cheque payment by visiting the centre at the address above. If student attendance for a session is not confirmed, the centre reserves the right to cancel that session.
(2) If only one student signs up for a particular session, that session is considered a 1-1 session and the student will be asked whether he or she wants that session to be conducted at a fee of $120.
(3) The centre reserves the right to cancel any session due to unforeseen circumstances. If payment has been made for a cancelled session, the student (s) will be refunded in full.
(4) If a student withdraws from a session, a full refund can only be given if the centre is notified of the withdrawal not less than 5 days from the date of the session. No refund will be given if no notification of withdrawal is given or the notification is given on or just one day before the date of the session.
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TUITION CLASSES:
_______________________________________________________________
EDUCATIONAL SERVICES:
______________________________________________________________
By EX-MOE TEACHERS & EXPERIENCED TUTORS
@ BLK 644, BUKIT BATOK CENTRAL, #01-68. S(650644).
CALL 65694897 OR SMS 98530744 OR 97860411.
Suggested Answers to 2015 A Level H2 Math 9740 PAPER 2
1. Differential equation
(i) h = 32m
(ii) ≈ 46.9 years
2. Vectors
(i) ≈ 73.4°
(ii) λ = 3/7 or 1
Point = ( 17/7 , 1/7 , -58/7 )
(iii) -36x + 2y – 11z = 4
3. Functions
a)(i) Graph of y=k , k∈R , cuts at most on 1 point.
f (x) is a 1 – 1 function, f inverse exists
(ii) f -¹ : x → √(1 – 1/x) , x > 0
b) y≤ 1 – (1/2)√3 or y≥ 1 + (1/2)√3
Rg = ( -∞, 1 – (1/2)√3] ∪ [ 1 + (1/2)√3 , ∞ )
4. Mathematical induction / Method of difference
b)(i) 2 = A(2r+3) + B(2r+1)
(ii) (1/3) – (1/(2n+3))
(iii) n≥ 1498.5
smallest n = 1499
5. Sampling methods
(i) Sampling frame is not available, therefore the manager is unable to define the appropriate subgroups required for stratified sampling.
(ii) Survey 25 people each for different age groups (5-20, 21-40, 41-60, 61-80). The manager can survey the customers going in and out of the supermarket to obtain the required data.
6. Binomial distribution
(i) ≈ 0224
(ii) ≈ 0.149
(iii) ≈ 0.825
7. Poisson distribution
(i) Average number of errors per page is constant
Errors occurring are independent of each other
(ii) ≈ 0.165
(iii) least n = 4
8. Hypothesis Testing
p-value = 0.264618 > 0.1
Do not reject Ho. There is insufficient evidence at the 10% level of significance to doubt his claim.
9. Probability
(i) = 0.4
(ii) 0.185
(iii) Lowest = 0.165
Highest = 0.33
10. Correlation and Regression
i)
(ii) a. ≈ -0.9807
b. ≈ -0.9748
c. ≈ -0.9986
(iii) √h and P
P = 34.8 – 0.266√h
(iv) 34.8 – 0.266√h
11. Permutations and Combinations
(i) 10080
(ii) 10079
(iii) 720
(iv) 5760
12. Normal Distribution
(i) 0.01267
(ii) 0.05238
(iii) 0.742
A-LEVEL H2 MATH JUNE HOLIDAYS INTENSIVE REVISION
A-LEVEL H2 PHYSICS JUNE HOLIDAYS INTENSIVE REVISION
JUNIOR COLLEGE / A-LEVEL TUITION:
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______________________________________________________________
By EX-MOE TEACHERS & EXPERIENCED TUTORS
@ BLK 644, BUKIT BATOK CENTRAL, #01-68. S(650644).
CALL 65694897 OR SMS 98530744 OR 97860411.
A-LEVEL H2 MATHS INTENSIVE REVISION
1st SESSION
Date: Thursday 10th Sep 2015
Time : 9.00 am 11.00 am
Location: Blk 644, Bukit Batok Central, #01-68. S(650644).
Fee: $120
Topics: Distributions (Discrete & Continuous R.V.s, Approximations)
Tel: +(65) 6569 4897; +(65) 97860411 (SMS only)
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2nd SESSION
Date: Thursday 10th Sep 2015
Time : 11.00 am – 1.00 pm
Location: Blk 644, Bukit Batok Central, #01-68. S(650644).
Fee: $120
Topics: Sampling (Central Limit Theorem, Sampling Theory, Hypothesis Testing)
Tel: +(65) 6569 4897; +(65) 97860411 (SMS only)
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Post Prelim/ Pre A-levels
SESSION 3
Date: Thursday 22th Oct 2015
Time : 9.00 am – 4.00 pm (1-hour lunch break at 12pm)
Location: Blk 644, Bukit Batok Central, #01-68. S(650644).
Fee: $400
Topics: Statistics
Tel: +(65) 6569 4897; +(65) 97860411 (SMS only)
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SESSION 4
Date: Thursday 22th Oct 2015
Time : 4.30 pm 6.30 pm
Location: Blk 644, Bukit Batok Central, #01-68. S(650644).
Fee: $120
Topics: Trigonometry
Tel: +(65) 6569 4897; +(65) 97860411 (SMS only)
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SESSION 5
Date: Thursday 29th Oct 2015
Time : 9.00 am – 4.00 pm (1-hour lunch break at 12pm)
Location: Blk 644, Bukit Batok Central, #01-68. S(650644).
Fee: $400
Topics: Pure Mathematics
Tel: +(65) 6569 4897; +(65) 97860411 (SMS only)
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What to bring: Graphing Calculator and writing materials.
The third session (session 5) of the course focuses on strengthening students with their trigonometry abilities to tackle questions in MI, Complex, Vectors, Calculus & Integration. The questions and tips will be discussed.
TO REGISTER, SMS <STUDENT NAME> , <H2MATH>, <SESSION> TO 97860411.
As places are limited, pre-payment is encouraged to confirm your attendance. You can make payment by visiting the centre at the address above.
Tel: +(65) 6569 4897; +(65) 97860411 (SMS only)
(Our location is just a 3-min walk from either the Bukit Batok MRT station or theBukit Batok Bus Interchange. Buses that stop along the roads surrounding our location are numbers 157, 178, 66, 506, 173, 174, 176, 187, 985. Buses services which terminate at Bukit Batok Bus Interchange are 61, 77, 106, 173, 177, 189, 852, 941, 945, 947)
H2 Mathematics Intensive Revision for June
The H2 Mathematics Intensive Revision is focused on helping students REVISE their main CONCEPTS for their upcoming exams. The classes are designed such that the first hour will involve a thorough revision, and ESSENTIAL MIND-MAPS. The next two hours will be looking at the MUST-KNOW questions from a revision set that the tutor has collated and prepared. Students are required to bring their own writing materials. Notes will be provided.
1. Statistics – Friday 12 June or 19 June | 1 pm – 4 pm | Code: JCM0612 or JCM0619
2. Sequences & Series – Mon 15 June or 22 June | 10 am – 1 pm | Code: JCM0615 or JCM0622
3. Vectors – Tue 16 June or 23 June | 10 am – 1 pm | Code: JCM0616 or JCM0623
4. Calculus – Wed 17 June or 24 June | 10 am – 1 pm | Code: JCM0617 or JCM0624
5. Functions and Graphs– Thur 18 June or 25 June | 10 am – 1 pm | Code: JCM0618 or JCM0625
6. Complex Numbers – Fri 19 June or 26 June | 10 am – 1 pm | Code: JCM0619 or JCM0626
| No. of Modules | Fees |
| 1,2 | $150/ Module |
| 3, 4, 5 | S120/ Module |
| 6 | $110/ Module |
TO REGISTER, SMS <STUDENT NAME> , <CODE> TO 97860411.
As places are limited, pre-payment is encouraged to confirm your attendance. You can make payment by visiting the centre at the address above.
Location: Blk 644, Bukit Batok Central, #01-68. S(650644).
Tel: +(65) 6569 4897; +(65) 97860411 (SMS only)
Our location is just a 3-min walk from either the Bukit Batok MRT station or theBukit Batok Bus Interchange. Buses that stop along the roads surrounding our location are numbers 157, 178, 66, 506, 173, 174, 176, 187, 985. Buses services which terminate at Bukit Batok Bus Interchange are 61, 77, 106, 173, 177, 189, 852, 941, 945, 947.
Max. no. of students: 12.
Suggested Answers to 2014 A Level H2 Math 9740 Paper 1
MOCK EXAMS FOR SCIENCE PRACTICAL
The following is a suggested solution by our H2 and H1 Math Tutor, Mr. Teng. Please note that it is a suggested solutions and was rushed out. Mr. Teng omitted several presentation steps out of convenience. There might be alternative solutions at times too. Feel free to comment and discuss. We will try our best to answer.
Errata:
Qn3 I misread it. Answer should be 2/3 and need not be evaluated.
Qn5i I copied wrongly off GC. answer should -3+4i. It shouldn’t affect the back parts.
Qn7 I copied wrongly off GC. So rounding off, the answers should α=1.885(3dp)
Advice and tips from Mr Teng for H2 Math exam 2014 paper 2
Please focus on tomorrow’s paper 2 and not let paper 1 affect you too much.
Errata:
Qn3 I misread it. Answer should be 2/3 and need not be evaluated.
Qn5i I copied wrongly off GC. answer should -3+4i. It shouldn’t affect the back parts.
Qn7 I copied wrongly off GC. So rounding off, the answers should α=1.885(3dp)
Much thanks for those that point it out.
_______________________________________
TUITION CLASSES:
_______________________________________________________________
EDUCATIONAL SERVICES:
______________________________________________________________
______________________________________________________________
By EX-MOE TEACHERS & EXPERIENCED TUTORS
@ BLK 644, BUKIT BATOK CENTRAL, #01-68. S(650644).
CALL 65694897 OR SMS 98530744 OR 97860411.
Make-up lessons for JC1 H2 Math students
Your H2 Math make-up lesson will be done on Tuesday, 13 May at the following times and according to your JC groups.
(1) 11am – 12.45 pm: PJC
(2) 12.45pm – 2.30pm: ACJC / JJC
(3) 2.30 pm – 4.15pm: SAJC
Reflections on my JC1 H2 Math headstart class this afternoon
I was quite excited to start the lesson, as I had not seen some of my ex-Sec4 tutees since the O-level exams started. It’s amazing that they even want to come for this jc1 h2 math lesson, as O-level results will only be out around 13 Jan 2014. But they understood my rationale for conducting this headstart class – it’s not really a headstart class; it’s actually a catch-up class as many of their IP peers have already learnt today’s topic – the Binomial Series.
I began by making them recall something more familiar, the Binomial Theorem, and proceeded to show them the difference between the two. A few times during the 2 hrs they lamented how their brains have become rusty since the end of the O-level exams. It’s obvious when they started asking me “what to do” with the expression |x| < 1.
It took about 1 hour before the mathematical part of their brains began to awaken, and then they were able to solve a H2 math question at least halfway. Now at least they are proud that they are able to solve a JC math question before entering a JC.
For the next lesson on 22nd Dec I’ll be covering Permutations & Combinations, another topic that most IP students have learnt. Then they asked me about Jan – will I be waiting for their O-level results to be released before resuming this J1 h2 math class? We discussed this a bit and we agreed that we shall not wait. This because even after receiving their O-level results they have at least one week of orientation, and it will be almost Feb before formal lessons actually start. As the h2 syllabus is heavy, it would be unwise to start learning later.
JC1 (2014) H2 Math Bridging Course for non-IP students
Dates: 15 Dec (Sun) and 22 Dec (Sun)
Time: Both dates 2pm – 4pm
Location: Blk 627, Bt Batok Central, 07-640. S(650627). 3-min walk from Bukit Batok MRT station and bus interchange. Opposite Civil Service Club.
Purpose: To help non-IP students learn two topics that most of their IP counterparts have already learnt: (1) Binomial Series and (2) Permutations & Combinations
Tutor: Mr Ilyasa, M.Ed (NIE), PGDE (NIE), B.Sc (NUS), ex-MOE Subject Head who has been teaching A-Level Math and A. Math since 2004.
Fees: Total fees for the two sessions is just $100.
Max no of students: 8
Registration: To register, send <STUDENT NAME><H2MB> to 9786 0411.
You can view Mr Ilyasa’s resume at https://singaporelearner.com/
For other timeslots for JC Math in 2014, CLICK HERE.
Suggested Answers to 2013 A Level H2 Math 9740 Paper 2
NEW! H2 MATH TOPICAL CRASH COURSE (Sign Up Now!)
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The above solutions had been worked out by Mr Teng.
Errata:
For qn 3(I) line 7, the denominator of the third derivative of f(x) should be of power 4 instead of 2.
For qn 4(I), was some scanning error. The answer is 40.4.
For qn11(III), I made a terrible mistake and forgot the third case for which exactly three letters same AND two digits same. The permutation for that will be (26×9).
11(iv) I made the mistake of double counting and arranged after using the permute function. The following is the full solutions
Case 1: Exactly one vowel and 2 different consonants and exactly one even digit
(5C1)(21C2)(3!)(4C1)(5C1)(2!) =252000
Case 2: Exactly one vowel and 2 same consonants and exactly one even digit
(5C1)(21C1)(3!/2!)(4C1)(5C1)(
P(exactly one vowel & exactly one even digit) = (252000+12600)/(26^3*9^2) = 0.186 (3SF)
Disclaimer: We welcome fair comments and discussion. The answers were rushed out and done while Mr Teng was in between classes too. So there are errors definitely, so many thanks for all who point them out. 🙂
_______________________________________
TUITION CLASSES:
_______________________________________________________________
EDUCATIONAL SERVICES:
______________________________________________________________
By EX-MOE TEACHERS & EXPERIENCED TUTORS
@ BLK 644, BUKIT BATOK CENTRAL, #01-68. S(650644).
CALL 65694897 OR SMS 98530744 OR 97860411.
Integrated Programme (IP) Math
IP students always give me headaches because they come from different schools and have their own syllabi, to the point I’ve kind of decided not to take in any IP students anymore. I’ve taught students from RV, ACS(I), NJC, RI, RGS, HCI and NYGS.
But now I’m in a dilemma, because my existing IP students are asking me to continue guiding them. Two YR4 RI boys and a YR4 RGS girl (plus her friend) are asking me to have a headstart programme in Nov/Dec to intro them to H2 Math. A YR2 NYGH student is asking me to do the same for her YR3 Math. The problem is, they may not all fit into the same session because of differences in availability and level.
If I were to proceed, it would be 2-hr sessions, lecture cum discussion style, and if they are spread out across several sessions in the same week, I would need a few more students to join us to avoid boring and expensive one-to-one tuition. So if you are an IP student and in the same level (preferably even same school) as them in 2013 (YR5 or YR3) and you need a headstart in Math, please consider joining us. You may contact me at 97860411. Thank you.
My resume: Mr Ilyasa
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For our latest timetable, click here =>