Course 3: Arithmetic and Algebra

Course 4: Calculus and Geometry

Description:
- 100% online, and self-paced:
the course is always open and anyone can join
- courses are available world-wide

- a trainer is available to answer questions
- regular tests and
discussion forum
- a certificate for those who pass

Course created by Kenneth Williams.

Comments / testimonials from previous courses.

Any queries can be sent to academy@vedicmaths.org

Course Content (
for content of Basic+Intermediate+Advanced1 courses see here):

Advanced 2 - Arithmetic and Algebra

1. Product of Three Numbers, Binomials
Numbers near a Base, General method for Three Numbers, Product of Binomials

2. Cubing, Cube Root
Cubing – near a Base, Cubing and Beyond, Cubing Binomials, Cube Rt

3. Recurring Decimals

4. Division – Part 1
Flag Division, dividing with 9s

Week 2
5. Division – Part 2
Base division’ Proportion – Direct and Inverse, Comparing Prices

6. Divisibility– Part 1

7. Divisibility– Part 2
Divisibility (right to left, left to right), Creating a Number Divisible by Given Number, Divisibility puzzles

8. Algebraic division
Two methods, dividing the remainder, series expansions.

Week 3
9. Algebraic square root - to any number of terms

10. Factorisation
Factorising – quadratics (incl 2 and 3 variables), cubics, etc., evaluating polynomials

11. Solution of equations
Simultaneous, special

Advanced 3 - Calculus and Geometry

12. Calculus methods - Part 1
Quadratic equations, partial fractions, derivatives of products and quotients

13. Calculus methods - Part 2
Trig functions, series expansions, integration by ‘parts’ etc.

Week 4
14. Triple Geometry
Double and Half angle triple, geometry

15. Transformations
Rotations of points, lines & curves, reflections

16. Coordinate geometry
Linear interpolation, distance of a point from a line, perp bisector

17. Trigonometry – Part 1
Compound angles, inverse functions

Week 5
18. Trigonometry – Part 2
Trig proofs, trig equations.

19. Triple Code Numbers
Grouping and Generating Triples

20. Code Numbers and Angles
Solution of Trig. Equations

21. Complex numbers
Multiplication, division, square root