Advanced Higher
Mathematics
INFO
Curriculum Leader: Ms Livingston
Entry Requirements:
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Grades A, B at Higher Mathematics.
Check out the YASS Courses on:
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Essential Maths 1
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Discovering Maths
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Maths for Science
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Introducing Statistics
Description of Course
Advanced Higher Mathematics aims to build upon and extend students’ mathematical learning in the areas of algebra, geometry and calculus.
Course Content
Methods in Algebra & Calculus
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Use of algebraic skills
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Use the rules of differentiation & further differentiation techniques
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Integration using standard results and special cases and further integration techniques
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Solve differential equations
Applications of Algebra & Calculus
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Use of binomial theorem.
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Understand and use complex numbers.
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Understand and use sequences and series.
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Use standard methods to prove results in elementary number theory.
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Use of properties of functions.
Geometry, Proof & Systems of Equations
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Use vectors in three dimensions.
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Use of matrix techniques to solve systems of linear equations.
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Use matrix algebra.
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Use further number theory and direct methods of proof.
Assessment
The course is assessed entirely on the final course exam.
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Paper 1 (Non-calculator) – 1 hour
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Paper 2 (Calculator) – 2 hours 30 minutes
Each paper will consist of short and extended response questions.