The course is run by MATH-Inic Online in conjunction with the Vedic Mathematics Academy(UK) exclusively for Philippine residents only.

**Description**: This course follows on from the Diploma Course or Teacher Training Course and covers more advanced topics (see below).

You can enrol in the course in which you have:

- a trainer to answer questions,

- regular tests,

- discussion forums

- a certificate for those who pass.

**Classes starts: December 10****, 2018** - 5 week course.

**Mode****:** 100 % Online - Self paced - Enroll and study from any part of the globe. Twenty-one Video Lessons with online Tests and Forum discussions.

**Cost**: $95

**Course created and conducted by** Kenneth Williams.

Do not enroll unless you have passed the Teacher Training or Diploma Course.

Any queries can be sent to online@math-inic.com.

**Course Content: **

Week 1

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

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

Kenneth has given talks and conducted courses on Mathematics around the world, including Oxford University in London, Sweden, Holland, the United States, India, and Singapore. He also offers online courses on Vedic Mathematics.

He will be assisted by **Virgilio Y. Prudente** and **Veronica S. Prudente** in this course. Both have completed the Vedic Maths Teachers Training Course with distinction, and also other courses under Kenneth Williams such as Advanced Diploma in Vedic Maths Course, Applied Mathematics Applications of Vedic Mathematics, Calculus Course, and Powers, Roots and Equations Course.

Virgilio is also the creator of MATH-Inic, and the author of the books *25 Math Short Cuts* and *Algebra Made Easy as Arithmetic*.