CSCA Mathematics Syllabus and Tutorials

Explore the CSCA Mathematics syllabus, from functions and derivatives to trigonometry, vectors, sequences, geometry, probability, and statistics.

Exam Syllabus and Tutorials

• Sets and Inequalities
  • Sets
    • Definition of a Set
    • Operations on Sets
    • Methods of Representing Sets
  • Basic Properties and Solutions of Inequalities
    • The AM-GM Inequality
    • Quadratic Inequalities
    • Rational Inequalities
    • Other Common Inequalities
• Functions
  • Concepts and Properties of Functions
    • Domain of a Function
    • Range of a Function
    • Monotonicity of Functions
    • Parity of Functions (Even/Odd)
    • Maximum and Minimum Values of a Function
    • Periodicity of Functions
    • Symmetry of Functions
    • Graph of a Function
    • Comprehensive Application of Function Properties
  • Basic Elementary Functions
    • Power Functions
    • Exponential Functions
    • Logarithmic Functions
    • Trigonometric Functions
  • Sequences
    • Arithmetic Sequence: Formula & Summation
    • Geometric Sequences
  • Preliminary Derivatives
    • Definition of the Derivative
    • Geometric Meaning of Derivative
    • Applications of Derivatives
• Geometry and Algebra
  • Plane Analytic Geometry
    • Equations and Properties of Lines
    • Equations and Properties of Circles
    • Equations and Properties of Ellipses
    • Equations and Properties of Hyperbolas
    • Equations and Properties of Parabolas
  • Vectors and Complex Numbers
    • Vector Operations
    • Arithmetic Operations on Complex Numbers
  • Spatial Geometry
    • Spatial Rectangular Coordinate System
    • Properties of Simple Solid Figures
• Probability and Statistics
  • Classical Probability and Probability Calculation
  • Numerical Characteristics of Data (Mean, Variance, etc.)
  • Normal Distribution

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