ADVANCED HIGHER MATHEMATICS
Entry Level:
Higher Mathematics preferably at Grade A or B
Summary of Course Content
This course is made up of three Units. It builds on knowledge acquired in the Higher Course.
Unit AH1: Algebra, Differentiation, Integration, Functions, Gaussian Elimination.
Unit AH2: Further Differentiation, Further Integration, Complex Numbers, Sequences & Series, Number Theory.
Unit AH3: Vectors, Ordinary Differential Equations, Further Sequences & Series, Matrices, Further Number Theory.
Assessment & Examinations
Each Unit will be assessed internally by means of outcome tests, Unit tests and end of Unit extension tests.
The external exam to determine grades A, B or C is one paper of 3 hours duration.
Pupils must pass all the Unit tests and the external exam to gain a course award.
Folio/Project Work:
None required.
NOTE: a TI83 Graphics Calculator will be needed for this course.
ADVANCED HIGHER APPLIED MATHEMATICS: MECHANICS
Entry Level:
Higher Mathematics grade A, Higher Physics grade A/B.
Pupils must also take Advanced Higher Mathematics.
Summary of Course Content
This course is made up of three Units. It builds on knowledge acquired in the Higher Course.
Unit M1:
Motion in a Straight Line; Position, Velocity and Acceleration Vectors including Relative Motion; Motion of Projectiles in a Vertical Plane; Forces and Newton's Laws of Motion.
Unit M2:
Motion in a Horizontal Circle; Simple Harmonic Motion; Principles of Momentum and Impulse; Principles of Work, Energy and Power; Motion in a Straight Line, where the solution of first order differential equations is required.
Unit MAM:
Algebra, Matrix Algebra, Differentiation, Integration, Ordinary Differential Equations
Note: Mathematics for Applied Mathematics (MAM) is covered in the Advanced Higher Mathematics course
Assessment & Examinations
Each Unit will be assessed internally by means of outcome tests, Unit tests and end of Unit extension tests.
The external exam to determine grades A, B or C is one paper of 3 hours duration.
Pupils must pass all the Unit tests and the external exam to gain a course award.
Folio/Project Work:
None required.
NOTE: a TI83 Graphics Calculator will be needed for this course.
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