Senior 6

Senior 6 Mathematics Notes and Study Materials

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How to study Senior 6 Mathematics

Start with one Mathematics topic and read its learning points before opening a note. Write down the facts, rules, formulas, or diagrams that you need to remember. Then explain each idea in your own words. This quick check shows what you understand and what needs another careful review.

Study in short sessions and give each session a clear goal. You can learn a definition, practise a calculation, label a diagram, or answer a small group of questions. Mark your work when answers are available. Keep a list of mistakes and return to them after a day or two. Repeated correction builds stronger recall.

For examination preparation, mix new learning with older mathematics topics. Read every question closely, show the important steps, and check units or scientific terms before you finish. Use a timer only after you can answer accurately without rushing. Accuracy should come first; speed improves with steady practice.

You can return to all Senior 6 subjects or use the Senior 6 practice quizzes to check your progress.

Full Senior 6 Mathematics Syllabus Outline

Every topic and subtopic covered in Senior 6 Mathematics.

  • Differentiation 2

    • Trigonometric Functions
    • Exponential and Logarithmic functions
    • Maclaurin's Theory
    • Further curve sketching
    • Inverse trigonometric functions

  • Dynamics II

    • Resultant Velocity
    • Relative Motion
    • Projectiles

  • Sampling Distribution

    • Distribution of sampling Mean
    • Point Estimation
    • Interval Estimation

  • Trapezium Rule

    • Estimating an integral
    • Percentage Error

  • Integration 2

    • Function and its derivative (change of variables)
    • Exponential and Logarithmic functions
    • Even and Odd Powers of sine, cosine
    • Factor Formulae
    • Inverse trigonometric functions
    • t-substitution
    • Integration involving partial fractions
    • Integration by parts

  • Iterative methods

    • Interpolation and Extrapolation
    • Location of roots
    • Newton's Raphson method
    • Further Linear Interpolation

  • Flow charts

    • Algorithms and presenting them on flow charts
    • Performing dry run

  • Coordinate geometry 2

    • Locus
    • The circle
    • Parabola
    • Ellipse

  • Complex Numbers

    • Imaginary numbers
    • Algebra of complex numbers
    • Argand diagram and polar form
    • Locus
    • De Moivre's theorem

  • Differential Equations

    • Differential equations and solving first order differential equations
    • Applications of differential equations

  • Vectors

    • Vectors in three dimensions
    • Lines in two and three dimensions
    • Planes