Grade 12 Mathematics Syllabus:1. Algebra:
- Polynomial functions and equations
- Rational functions and equations
- Exponential and logarithmic functions
- Sequences and series
2. Geometry:
- Properties of triangles
- Coordinate geometry in two and three dimensions
- Circles and conic sections
- Transformations and symmetry
3. Probability and Statistics:
- Descriptive statistics
- Probability concepts and calculations
- Probability distributions
- Statistical inference
4. Discrete Mathematics:
- Sets, relations, and functions
- Combinatorics and counting principles
- Graph theory
- Boolean algebra and logic
Grade 12 Trigonometry Syllabus:1. Trigonometric Functions:
- Definition and properties of trigonometric ratios
- Trigonometric identities and equations
- Trigonometric graphs and transformations
- Inverse trigonometric functions
2. Trigonometric Equations and Applications:
- Solving trigonometric equations
- Applications of trigonometry in real-life situations
- Trigonometric modeling and problem-solving
3. Trigonometric Identities and Formulas:
- Sum and difference formulas
- Double-angle and half-angle formulas
- Product-to-sum and sum-to-product formulas
- Trigonometric equations and identities involving multiple angles
Grade 12 Pre-Calculus Syllabus:1. Functions and Relations:
- Function notation and operations
- Domain and range of functions
- Composite and inverse functions
- Polynomial, rational, exponential, and logarithmic functions
2. Analytic Geometry:
- Conic sections (parabola, ellipse, hyperbola)
- Vectors and vector operations
- Polar coordinates and graphs
- Parametric equations and graphs
3. Systems of Equations and Inequalities:
- Solving systems of equations algebraically and graphically
- Linear programming
- Systems of inequalities
- Matrices and determinants
4. Sequences and Series:
- Arithmetic and geometric sequences
- Summation notation and series
- Convergence and divergence of series
- Mathematical induction
Grade 12 Calculus Syllabus:1. Limits and Continuity:
- Definition and properties of limits
- Calculating limits algebraically and graphically
- One-sided limits and infinite limits
- Continuity and differentiability
2. Derivatives:
- Derivative as a function and as a rate of change
- Differentiation rules (power, product, quotient, chain rules)
- Applications of derivatives (related rates, optimization)
- Implicit differentiation and logarithmic differentiation
3. Integration:
- Antiderivatives and indefinite integrals
- Definite integrals and their properties
- Integration techniques (substitution, integration by parts)
- Applications of integrals (area, volume, average value)
4. Differential Equations:
- First-order differential equations
- Second-order linear differential equations
- Applications of differential equations
- Modeling with differential equations
Note: This syllabus may vary depending on the educational institution or curriculum.
This course is helpful for the following exams: Grade 12