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Lessons: 17
Topics: 17

Free, no account neededA tour of Higher Mathematics6 steps

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1 lesson

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FreeA tour of the Higher maths course

Section 1: Polynomials and quadratics

2 lessons

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Factorising and solving cubics and quartics
The discriminant, quadratic inequalities and intersections

Section 2: Functions and graphs

2 lessons

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Domain, range, composite and inverse functions
Related graphs, derived graphs and completing the square

Section 3: Logarithms, exponentials and sequences

2 lessons

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Logarithms and exponentials: graphs, laws, equations and models
Recurrence relations and their limits

Section 4: Trigonometry

2 lessons

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Addition and double angle formulae, and identities
The wave function and trigonometric equations

Section 5: Straight lines and circles

2 lessons

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Gradients, perpendicular lines and lines in triangles
Circles, tangents and intersections

Section 6: Vectors

2 lessons

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Vector pathways, collinearity and section points
The scalar product, angles and unit vectors

Section 7: Differentiation

2 lessons

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Differentiating, the chain rule and tangents
Stationary points, curve sketching, optimisation and rates

Section 8: Integration

2 lessons

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Indefinite and definite integrals
Areas and differential equations

Independent preparation for the SQA Higher Mathematics exam. Not affiliated with or endorsed by Qualifications Scotland (SQA).