Pearson Edexcel IAL – P3: Pure Mathematics 3 (WMA13 010) – Samir Sha’lan
- Course Duration: 1H 16M
From: 100,00 $ / month
Available courses
Samir Sha'lan
High school Mathematics teacher
Course Type |
Full Course |
---|---|
Program | |
Level |
Pearson Edexcel IAL (A2) |
Subject |
Mathematics |
Course Curriculum
- General
- Announcements
- 1- Algebraic Methods
- 1.1 Arithmetic operations with algebraic fractions
- 1.2 Improper Fractions
- 2- Functions and Graphs
- 2.1 The Modulus Function
- 2.2 Functions and Mapping
- 2.3 Composite Functions
- 2.4 Inverse Functions
- 2.5 y = |f(x)| and y = f(|x|)
- 2.6 Combining Transformations
- 2.7 Solving Modulus Problems
- 3-Trigonometric Functions
- 3.1 Secant, Cosecant, and Cotangent
- 3.2 Graphs of sec(x), cosec(x), cot(x)
- 3.3 Using sec(x), cosec(x), and cot(x)
- 3.4 Trigonometric Identities
- 3.5 Inverse Trigonometric Functions
- 4-Trigonometric Addition Functions
- 4.1 Addition Formulae
- 4.2 Using the Angle Addition Formulae
- 4.3 Double-Angle Formulae
- 4.4 Solving Trigonometric Equations
- 4.5 Simplifying a cos(x) ± b sin(x)
- 4.6 Proving Trigonometric Identities
- 5- Exponentials and Logarithms
- 5.1 Exponential Functions
- 5.2 y = e^(ax+b) + c
- 5.3 Natural Logarithms
- 5.4 Logarithms and Non-Linear Data
- 5.5 Exponential Modelling
- 6- Differentiation
- 6.1 Differentiating sin(x) and cos(x)
- 6.2 Differentiating Exponentials and Logarithms
About Course
P3: Pure Mathematics 3
(WMA13 010) is a continuation of the foundational studies in mathematics,
designed to deepen students’ understanding of advanced mathematical concepts.
This course builds upon the principles introduced in Pure Mathematics 1 and 2,
focusing on further development of algebra, calculus, and mathematical
reasoning. It is tailored for students preparing for higher education in
mathematics or related disciplines.
What you'll learn?
Material Includes
– Simplification of rational expressions including
factorizing and cancelling, and algebraic division definition of a function.
Domain and range of functions. Composition of functions. Inverse functions and
their graphs, the modulus function, and Combinations of the transformations
– Knowledge of secant, cosecant and cotangent and of arc sin,
arc cos and arctan. Their relationships to sine, cosine and tangent.
Understanding of their graphs and appropriate restricted domains, Knowledge and
use of sec2 θ = 1 + tan2 θ and cosec2 θ = 1 + cot2 θ, Knowledge and use of
double angle formulae; use of formulae for sin (A ± B), cos(A ± B) and tan (A ±
B) and of expressions for a cos θ + b sin θ in the equivalent forms of r cos(θ
± a) or rsin (θ ± a).
– The function ex and its graph, The function ln x and its
graph; ln x as the inverse function of ex, and Use logarithmic
graphs to estimate parameters in relationships of the form y = axn
and y = kbx
– Differentiation of ekx, ln kx, sin kx, cos kx,
tan kx and their sums and differences
– Differentiation using the product rule, the quotient rule
and the chain rule, and understand and use exponential growth and decay
– Integration of ekx, 1 / x , sin kx, cos kx and
their sums and differences, in addition to Integration by recognition of known
derivatives.
– Location of roots of f(x) = 0 by considering changes of
sign of f(x) in an interval of x in which f(x) is continuous, and Approximate
solution of equations using simple iterative methods, including recurrence
relations of the form xn + 1 = f(xn)
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