Course 3: Arithmetic and Algebra

Basic+Intermediate+Advanced1+Advanced2

Course 4: Calculus and Geometry

Basic+Intermediate+Advanced1+Advanced2+Advanced3

**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.

CLICK HERE for more details and enrollment (goes to Math2Shine website)

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