Monday, January 11, 2010

STPM Mathematics T, Mathematics S and Further Mathematics Syllabuses

Please take note that the first eight topics (Paper 1) of Maths T and Maths S are the same. Besides, Maths T and Maths S are mutually exclusive. In other words, a STPM candidate cannot take both subjects at the same time. Maths T is taken by most science stream stuedents whereas Maths S is taken by some art stream students. Meanwhile, Further Maths is taken as the optional fifth subject by some science stream students.

STPM Mathematics T (also known as Pure Mathematics) Syllabus
  1. Numbers and Sets
    Real numbers
    Exponents and logarithms
    Complex numbers
    Sets

  2. Polynomials
    Polynomials
    Equations and inequalities
    Partial fractions

  3. Sequences and Series
    Sequences
    Series
    Binomial expansions

  4. Matrices
    Matrices
    Inverse matrices
    System of linear equations

  5. Coordinate Geometry
    Cartesian coordinates in a plane
    Straight lines
    Curves

  6. Functions
    Functions and graphs
    Composite functions
    Inverse functions
    Limit and continuity of a function

  7. Differentiation
    Derivative of a function
    Rules for differentiation
    Derivative of a function defined implicitly or parametrically
    Applications of differentiation

  8. Integration
    Integral of a function
    Integration techniques
    Definite integrals
    Applications of integration

  9. Differential Equations
    Differential equations
    First order differential equations with separable variables
    First order homogeneous differential equations

  10. Trigonometry
    Solution of a triangle
    Trigonometric formulae
    Trigonometric equations and inequalities

  11. Deductive Geometry
    Axioms
    Polygons
    Circles

  12. Vectors
    Vectors
    Applications of vectors

  13. Data Description
    Representation of data
    Measures of location
    Measures of dispersion

  14. Probability
    Techniques of counting
    Events and probabilities
    Mutually exclusive events
    Independent and conditional events

  15. Discrete Probability Distributions
    Discrete random variables
    Mathematical expectation
    The binomial distribution
    The Poisson distribution

  16. Continuous Probability Distributions
    Continuous random variable
    Probability density function
    Mathematical expectation
    The normal distribution

STPM Mathematics S (also known as Statistical Mathematics) Syllabus
  1. Numbers and Sets
    Real numbers
    Exponents and logarithms
    Complex numbers
    Sets

  2. Polynomials
    Polynomials
    Equations and inequalities
    Partial fractions

  3. Sequences and Series
    Sequences
    Series
    Binomial expansions

  4. Matrices
    Matrices
    Inverse matrices
    System of linear equations

  5. Coordinate Geometry
    Cartesian coordinates in a plane
    Straight lines
    Curves

  6. Functions
    Functions and graphs
    Composite functions
    Inverse functions
    Limit and continuity of a function

  7. Differentiation
    Derivative of a function
    Rules for differentiation
    Derivative of a function defined implicitly or parametrically
    Applications of differentiation

  8. Integration
    Integral of a function
    Integration techniques
    Definite integrals
    Applications of integration

  9. Linear Programming

  10. Network Planning

  11. Data Description

  12. Probability

  13. Probability Distributions

  14. Sampling and Estimation

  15. Correlation and Regression

  16. Time Series and Index Number


STPM Further Mathematics Syllabus (thanks to Ru7h)
Note: 13 - 16 are statistic topics
  1. Logic and Proof

  2. Complex Numbers
    Polar form
    de Moivre's theorem
    Equations

  3. Matrices
    Row & Columns operations
    System of linear equations
    eigenvalues & eigenvectors

  4. Recurrence Relations
    Recurrence relations
    Homogeneous linear recurrence relations
    Non-homogenous linear recurrence relations

  5. Functions
    Inverse trigonometric functions
    Hyperbolic functions
    Inverse hyperbolic functions

  6. Differentiation and Integration

  7. Power Series
    Taylor Polynomials
    Taylor Series

  8. Differential Equations

  9. Number Theory
    Divisibility
    Modular Arithmetic

  10. Graph Theory
    Graphs
    Paths & Cycles
    Matrix Representations

  11. Transformation Geometry
    Transformation
    Matrix Representations

  12. Coordinate Geometry
    Three-Dimensional vectors
    Straight Lines
    Planes

  13. Sampling and Estimation
    Random samples
    Sampling Distributions
    Point Estimates
    Interval Estimates

  14. Hypothesis Testing
    Hypotheses
    Critical Regions
    Tests of Significance

  15. χ² Tests
    χ² distributions
    Tests for goodness of fit
    Tests for Independence

  16. Correlation and Regression
    Scatter Diagrams
    Pearson correlation coefficient
    Linear Regression Lines
Reference : malaysia-students.com

Sijil Tinggi Persekolahan Malaysia

Sijil Tinggi Persekolahan Malaysia (STPM) atau Malaysian Higher School Certificate dalam bahasa Inggeris merupakan peperiksaan prauniversiti yang diduduki oleh pelajar Malaysia. Peperiksaan ini dulu dikenali sebagai Higher School Certificate (HSC).

STPM disediakan oleh Majlis Peperiksaan Malaysia (MPM) yang juga menyediakan Malaysian University English Test (MUET), berbeza dengan Sijil Pelajaran Malaysia (SPM), Penilaian Menengah Rendah (PMR) dan Ujian Penilaian Sekolah Rendah (UPSR) yang disediakan oleh Lembaga Peperiksaan Malaysia (LPM). Walau bagaimanapun, kedua-dua LPM dan MPM adalah terletak di bawah Kementerian Pelajaran Malaysia.

STPM adalah salah satu daripada dua sistem prauniversiti yang utama untuk kemasukan universiti awam Malaysia. Sistem yang lain pula adalah program matrikulasi yang dianjurkan oleh Kementerian Pelajaran.

STPM diiktiraf oleh banyak universiti di peringkat antarabangsa, terutamanya universiti di negara-negara Komanwel dan juga Amerika syarikat dan Ireland. Kebanyakan universiti menganggap keputusan STPM sama dengan A-level.

Tingkatan enam

Walaupun pendidikan sekolah menengah kebangsaan terdiri daripada 5 tingkatan, "Tingkatan Enam" digunakan untuk menamakan program prauniversiti STPM. Kementerian Pelajaran memilih sekolah menengah yang mempunyai kebolehan untuk menawarkan Tingkatan 6.

Tingkatan 6 bertempoh setahun setengah. Tingkatan 6 itu sendiri dibahagi kepada 2 peringkat; setengah tahun yang pertama dikenali sebagai Tingkatan Enam Bawah dan tahun kedua dikenali sebagai Tingkatan Enam Atas.

Pelajar tingkatan 6 pada kebiasaannya berlainan dengan pelajar di tingkatan yang lebih rendah, seperti memakai uniform yang berbeza dengan pelajar lain, diberi jawatan yang tinggi dalam aktiviti kokurikulum dalam persatuan dan terdapat juga pelajar di sekolah tertentu menghadiri perhimpunan dan mempunyai tempoh rehat yang berlainan dengan sekolah lain.

Kebanyakan pelajar bumiputera ditawarkan ke program matrikulasi.

Mata pelajaran

Calon STPM menduduki maksimum 5 mata pelajaran. Kertas peperiksaan bagi mata pelajaran sains dan matematik seperti Mathematics S, Mathematics T, Further Mathematics T, Computing, Physics, Chemistry, dan Biology ditawarkan dalam dwibahasa, iaitu bahasa Inggeris dan bahasa Melayu sehingga 2007 di mana kertas peperiksaan bagi mata pelajaran tersebut ditawarkan dalam bahasa Inggeris sepenuhnya. Bagi mata pelajaran yang lain, kertas peperiksaan masih disediakan dalam bahasa Melayu atau bahasa masing-masing.

Bagi peperiksaan STPM, pengambilan sebarang kombinasi mata pelajaran adalah dibenarkan, iaitu pengambilan apa-apa mata pelajaran adalah dibenarkan. Walau bagaimanapun, kebanyakan pelajar yang memohon universiti tempatan diwajibkan mengambil Pengajian Am. Kebanyakan sekolah atau kolej menawarkan kombinasi mata pelajaran berdasarkan aliran sains atau kemanusiaan.

Senarai mata pelajaran yang ditawarkan:

  • 900 Pengajian Am
  • 910 Bahasa Melayu
  • 911 Bahasa Cina
  • 912 Bahasa Tamil
  • 913 Bahasa Arab
  • 920 Literature in English
  • 922 Kesusasteraan Melayu
  • 930 Syariah
  • 931 Usuluddin
  • 940 Sejarah
  • 942 Geografi
  • 944 Ekonomi
  • 946 Pengajian Perniagaan
  • 948 Perakaunan
  • 950 Mathematics S
  • 954 Mathematics T
  • 956 Further Mathematics T
  • 958 Computing
  • 960 Physics
  • 962 Chemistry
  • 964 Biology
  • 966 Sains Sukan
  • 970 Seni Visual

Gred

STPM menggunakan sistem Nilai Gred Mata Pelajaran. Terdapat 11 gred, iaitu A, A-, B+, B, B-, C+, C, C-, D+ dan D, dengan F sebagai status Gagal.

Nilai Gred Mata Pelajaran

  • A - 4.00 (Lulus Penuh)
  • A- - 3.67 (Lulus Penuh)
  • B+ - 3.33 (Lulus Penuh)
  • B - 3.00 (Lulus Penuh)
  • B- - 2.67 (Lulus Penuh)
  • C+ - 2.33 (Lulus Penuh)
  • C - 2.00 (Lulus Penuh)
  • C- - 1.67 (Lulus Sebahagian)
  • D+ - 1.33 (Lulus Sebahagian)
  • D - 1.00 (Lulus Sebahagian)
  • F - 0.00 (Gagal)

Gred setiap kertas peperiksaan dinyatakan dalam slip keputusan dan juga sijil.

Malaysian Higher School Certificate - Sijil Tinggi Persekolahan Malaysia

The Sijil Tinggi Persekolahan Malaysia (STPM, English: Malaysian Higher School Certificate) is a pre-university examination taken by students in Malaysia. It was formerly known as the Higher School Certificate (HSC). The HSC was the precursor to the GCE A levels in the UK, and is still the name of the pre-university examination in some states in Australia.

The STPM is set and run by the Malaysian Examinations Council (Majlis Peperiksaan Malaysia)since 1982, which also runs the Malaysian University English Test (MUET)since 1999, unlike Sijil Pelajaran Malaysia (SPM, English: Malaysian Certificate of Education; taken at the end of Form 5), Penilaian Menengah Rendah (PMR, English: Lower Secondary Assessment Test; taken at the end of Form 3) and Ujian Penilaian Sekolah Rendah (UPSR, English: Primary School Assessment Test; taken at the end of Standard/Year 6), which are all set and examined by the Malaysian Examinations Syndicate (Lembaga Peperiksaan Malaysia), both of whom, however, are under the Ministry of Education.

STPM is one of the two major pre-university systems for admission to Malaysian public universities. The other is a one-year matriculation programme conducted by the Ministry of Education. STPM is not the only qualification accepted besides the matriculation programme and Sijil Tinggi Agama Malaysia (STAM, English: Malaysian Higher Religious Certificate; taken by religious schools' students). Candidates technically may apply for admission to degree-level courses with a variety of pre-university examinations considered equivalent with STPM, including A-Level. All those applying for universities, however, must have taken the MUET.

STPM is internationally recognised by many universities, especially those within the Commonwealth of Nations as well as the United States and the Republic of Ireland. Most universities consider STPM results equivalent to GCE A-Level results.


Form Six

As the national education in Malaysia is modelled after the educational system in England, the STPM pre-university programme is the sixth form of secondary education, referred to as "Form 6". The Ministry of Education selects secondary schools it considers capable of providing Form 6 classes.

Unlike the other five forms which are year-long grades, Form 6 lasts one and a half years. Form 6 itself is divided into two levels; the first half year is known as Lower Sixth Form (Tingkatan Enam Rendah/Bawah) and the other whole year is known as Upper Sixth Form (Tingkatan Enam Atas).

Students in Form Six are called sixth formers. Sixth formers in national secondary schools are usually distinct from other students in the lower forms such as wearing different school uniforms, usually given higher posts within the school's societies, often with lax enforcement of certain school rules and regulations such as the ban on mobile phones, and sometimes even holding a separate morning assembly and recess for sixth formers.

Sixth formers in most schools generally form their own association, officially called the Pre-University Student Representatives Council (Malay: Majlis Perwakilan Pelajar Pra-Universiti) (formerly commonly known as Form Six Association or the Form Six Society, Malay:Persatuan Tingkatan Enam PERTINA). These councils' main annual activity is the initiation of new Lower Sixth formers during orientation.

Most Bumiputras opt for matriculation programme. Ninety percent of the places in the matriculation programme is reserved for Bumiputras while the remaining 10% are distributed among non-bumiputras. This has become a source of contention because matriculation students, who will enter university one year earlier compared with their STPM peers, are considered on equal standing with STPM only in Malaysia for the purpose of university admission though it is significantly easier than STPM with a streamed down Form 6 syllabus.

Subjects

STPM candidates sit for no more than five subjects, all within the same examination season. All Science- and Mathematics-related subjects (Mathematics S, Mathematics T, Further Mathematics T, Computing, Physics, Chemistry, and Biology) are offered bilingually in English and Malay until 2007, when they will be offered only in English. All other exams, other than languages, are still offered only in Malay and are likely continue to do so for the foreseeable future.

STPM is an open-list examination; that means any combination of subjects may be taken. However, to be considered for Malaysian public university admission, students must take Pengajian Am (General Studies) and at least three other subjects. Most, if not all, schools and colleges offering STPM, however, do stream their students into science and arts (humanities).

A list of all subjects available for STPM students are:

  • Pengajian Am (General Studies)
  • Bahasa Melayu (Malay Language)
  • Bahasa Cina (Chinese Language)
  • Bahasa Tamil (Tamil Language)
  • Bahasa Arab (Arabic Language)
  • Literature in English
  • Kesusasteraan Melayu (Malay Literature)
  • Syariah (Islamic Law)
  • Usuluddin (Usuluddin)
  • Sejarah (History)
  • Geografi (Geography)
  • Ekonomi (Economics)
  • Pengajian Perniagaan (Business Studies)
  • Perakaunan (Accounting)
  • Mathematics S (may not be taken with Mathematics T)
  • Mathematics T (may not be taken with Mathematics S)
  • Further Mathematics T (may only be taken with Mathematics T)
  • Computing (may only be taken at certain schools)
  • Physics
  • Chemistry
  • Biology
  • Sains Sukan (Sport Science)
  • Seni Visual (Visual Art)

For most non-science and sport science subjects, there are generally two papers per subject. For science subjects, there are three papers, with the third a practical paper (though all but Computing offers a written paper as an alternative for private candidates).

Mathematics S and Mathematics T share the first paper (consisting of Pure Mathematics), while with slightly different second papers, the prior with a more business mathematics approach while the latter a more science-related and statistical approach. Both subjects have both their papers graded separately on a different curve, though all questions shared between the subjects are marked with the same, secret marking scheme.

Grades and Grade Points

STPM uses a Cumulative Grade Point Average (CGPA) system. There are 11 grades, which are A, A-, B+, B, B-, C+, C, C-, D+ and D, with F as the failing grade. The grade points for each of these grades are between 4.0 and 1.0, A being 4.0 and D- being 1.0. The F grade gives a grade point of 0.

Grade Grade Points
A 4.00
A- 3.67
B+ 3.33
B 3.00
B- 2.67
C+ 2.33
C 2.00
C- 1.67
D+ 1.33
D 1.00
F 0.00

In order to pass a paper, candidate must at least score a C (2.00) or above. Having a grade between D to C- is a principal pass (lulus separa). But certain private institutes, UTAR for instance, refers to principal pass as C.

Each paper's grade appears on the result slip and the certificate. The subject's grade and grade point is determined by the weighted average results of all papers in that subject, where all papers must be passed, otherwise the grade and grade point would be, respectively, F and 0. The cumulative grade point average is the average of the top four subjects taken and usually rounded up to 2 decimal points. Therefore, if a student scores A in four subjects and fail in the fifth, his CGPA would be 4.0.

The actual range of scores within each grade is undisclosed and changes annually, depending on the performance of the candidates. Usually, the range of marks of science subjects is higher than non-science subjects.

Cumulative and subject GPA at 2.0 and above is considered a pass with credit or principal pass. GPA below 2.0 is considered a sub-fail, and a 0 is considered a fail. Admissions to local public universities requires at least a GPA of 2.0 and above, though private universities, university colleges and colleges generally may accept student with CGPA less than 2.0.

The CGPA system in STPM poses some problems for admissions to American universities because the GPA range between 4.0 and 0 (unlike Advanced Placement range of 5.0 to 0) may understate the academic achievements of an applicant.