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MATHEMATICS
Mathematics IGCSE
The IGCSE Math is a two year course, focusing on 5 main areas of
study: Number; Algebra; Shape and Space; Probability and Data
Handling; Using and an Applying Mathematics. Math IGCSE 1 is the
first half of a two year course leading to the IGCSE examination. In
the algebra section, students learn how to manipulate algebraic
fraction, transform complicated formulae, solve simultaneous
equations, and solve quadratic equations. As for geometry, students
learn how to construct simple geometric figures, transformations,
symmetry, and mensuration. As for trigonometry, students learn the
Pythagoras theorem, basic trigonometric identities, the sine rule,
and the use of radians. Finally, in the probability and data
handling section of the IGCSE Math, students learn how to draw
diagrammatic representations, calculate mean, mean mode, and range,
and do simple calculations involving probability.
Math IGCSE a two year course leading to
the IGCSE examination. In this course, students enforce the
knowledge acquired in IGCSE 1. The latter part of this course
reviews the topics learned and prepares the students for the IGCSE
exams. It also prepares students for the IB mathematics courses.
Students start this course off by learning about probability and
sets. They go on to study functions, including inverse and compound
functions. Students then study trigonometry, learning the cosine
rule, trigonometry identities (such as cos2θ = cos2θ -
sin2θ) and the application of trigonometry in practical
situations. After completing trigonometry, students go on to study
vectors. They study adding and subtracting vectors, multiplying
vectors by scalars, and calculating the magnitude of vectors.
Students then study matrices and transformations. The transformation
includes reflection, rotation, translation, enlargement shear,
stretch and their combinations. After that students study
statistics. The last topic that students study in IGCSE Mathematics
is Probability. Students study relations such as P(A) + P(A') =
1, P(AUB) = P(A) + P(B) - P(A∩B) and P(A|B) = P(A∩B) / P(B).
Mathematics IB Higher Level
Mathematics IBHL is a two year course leading
to the IBHL examination. It is a very demanding course, catering for
students with a good background in mathematics and competency in a
range of analytical and technical skills. Students start this course
by studying functions and equations. The topics studied include
reciprocal functions, quadratic functions, exponential functions,
and logarithmic functions. Students then study circle geometry. The
study of circles leads them to study circular functions and
trigonometric identities with proofs. Students then study calculus,
covering topics as differentiation, integration (substitution and
parts), and the differential equation. Students go on to study
series, both arithmetic and geometric, learning how to calculate the
sums to infinity and understanding the sigma notion. Consequently,
students study complex numbers, learning conjugates, modulus and
argument, the forms z = a + bi and z = rcosθ + isinθ, sums products
and quotient of Complex numbers, and De Moivre's Theorem. Students
then study transformations of graphs, learning how to reflect,
stretch and translate graphs by modifying the equations. After that,
students learn how to prove by mathematical induction, and apply
that knowledge by proving the binomial theorem. The last topic that
students learn in this course are vectors. This study includes
displacements in the plane and in 3D, components of vectors, the use
of i j k, the vector equation of a plane and distances in 2D and 3D
between points, lines and planes.
Students continue this course
by studying Statistics. In this topic, they study discrete and
continuous data, sample standard deviation, and frequency tables.
Student's then study Probability, learning such topics as combines
events, mutually exclusive events, conditional probability and Bayes'
Theorem for two events. Students then study counting principles
(permutations and combinations) in order to study Discrete and
Continuous probability distributions. Based on this, students study
the normal distribution. Students then go on to study Matrices,
learning addition, subtraction, multiplication of two matrices,
identity matrix, the determinant, inverse of a square matrix,
inverse of a composite. Students then study Transformations,
covering linear transformations of vectors in two dimensions and
their matrix representation, geometric significance of the
determinant and compositions of linear transformations. Finally
students study an option topic. It would be one of statistics; sets,
relations and groups; discrete mathematics; analysis and
approximation; Euclidean geometry and conic sections. The content of
the program is subject to revisions by the IB Organization.
Mathematics IB Math Methods (Standard Level)
This two year course caters for students who anticipate a need for a
sound mathematical background in preparation for their future
studies. Prior to starting this course, students are expected to
know basic concepts and to be equipped with the skills needed to
apply simple mathematical techniques correctly. The course includes
seven main areas of study: Number and Algebra; Functions and
Equations; Circular Functions and Trigonometry; Vector Geometry;
Statistics and Probability; Calculus and one option topic. The
option topic will be one of: Statistical Methods, Further Calculus
or Further Geometry. Students will also put together a portfolio of
five assignments representing the following three activities:
mathematical investigation, extended closed-problem solving and
mathematical modeling. The content of the program is subject to
revisions by the IB Organization.
Mathematics IB Math Studies (Standard Level)
This two year course is designed to build confidence and encourage an
appreciation of math in students who do not anticipate a need for
math in their future studies. Students embarking on this course need
to be equipped with fundamental skills and a rudimentary knowledge
of basic processes. The course is divided into seven main areas of
study: Number and Algebra; Sets and Logic; Geometry and
Trigonometry; Statistics and Probability; Functions; Financial
Mathematics and an optional topic. The optional topic will be one of
the following: Matrices and Graph Theory, Further statistics and
Probability, or Introductory Differential Calculus. Students will
also do a project involving the collection and/or generation of
data, and the analysis and evaluation of that data. The content of
the program is subject to revisions by the IB Organization.
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