Grade 12 – Mathematics
Grade 12 – Mathematics
Teachers
Astin Anirudh
Category:
R500.00 R400.00
This course will cover the contents of grade 12 Mathematics. The following topics will be covered :
 1 Sequences and series
1.1 Arithmetic sequences
1.2 Geometric sequences
1.3 Series
1.4 Finite arithmetic series
1.5 Finite geometric series
1.6 Infinite series
1.7 Summary  2 Functions
2.1 Revision
2.2 Functions and relations
2.3 Inverse functions
2.4 Linear functions
2.5 Quadratic functions
2.6 Exponential functions
2.7 Summary
2.8 Enrichment: more on logarithms  3 Finance
3.1 Calculating the period of an investment
3.3 Future value annuities
3.4 Present value annuities
3.5 Analysing investment and loan options
3.6 Summary  4 Trigonometry
4.1 Revision
4.2 Compound angle identities
4.3 Double angle identities
4.4 Solving equations
4.5 Applications of trigonometric functions
4.6 Summary  5 Polynomials
5.1 Revision
5.2 Cubic polynomials
5.3 Remainder theorem
5.4 Factor theorem
5.5 Solving cubic equations
5.6 Summary  6 Differential calculus
6.1 Limits
6.2 Differentiation from first principles
6.3 Rules for differentiation
6.4 Equation of a tangent to a curve
6.5 Second derivative
6.6 Sketching graphs
6.7 Applications of differential calculus
6.8 Summary  7 Analytical geometry
7.1 Revision
7.2 Equation of a circle
7.3 Equation of a tangent to a circle
7.4 Summary  8 Euclidean geometry
8.1 Revision
8.2 Ratio and proportion
8.3 Polygons
8.4 Triangles
8.5 Similarity
8.6 Pythagorean theorem
8.7 Summary  9 Statistics
9.1 Revision
9.2 Curve fitting
9.3 Correlation
9.4 Summary  10 Probability
10.1 Revision
10.2 Identities
10.3 Tools and Techniques
10.4 The fundamental counting principle
10.5 Factorial notation
10.6 Application to counting problems
10.7 Application to probability problems
10.8 Summary
About Instructors
Astin Anirudh
Astin Anirudh is a medical doctor with a bachelor of medicine and bachelor of surgery. Having studied and lived around the world, an insight into the educational system of other countries and what can be done to improve it is brought forward.
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