Calculus Course

**Description**:
This Introduction to Calculus course offers a very easy and natural way
to understand and apply the techniques of a subject that is usually
considered difficult. Only a knowledge of simple graphs, gradients and
basic algebra is required (so children can, and have, taken this
course).

Note: the last four lessons are there to prepare the student for parts of later courses (the Advanced Diploma and Applied Maths courses).

Enrolling in the course (cost $45) you have:

- a trainer to answer questions,

- regular tests,

- discussion forums,

- a certificate for those who pass.

**Course start: 14th September 2020** - 4 weeks**Mode:** 100 % Online.

18 Video Lessons with online Tests and Forum discussions.

Self paced: watch 4 or 5 videos each week at any time that suits you. Lessons
are 20 minutes long on average. Each lesson/video has a test at the end.

Enrol and study from any part of the globe.

No prerequisites - anyone can join.

**Cost**: $45. Part 1 of this course is free

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

Testimonials
from previous courses

Any queries can be sent to academy@vedicmaths.org

** Course Content: **

1 Growth and Limits

* Different types of growth.

* How limits can be used in mathematics.

* What is meant by the gradient of a curve

2 Gradient of a Secant

* What is meant by gradient of a secant

* How to work it out

* And a simple way to get the answers more easily

3 Gradient of a Tangent

* How to use previous result to get a simple formula for the gradient at any point on any parabola

4 Optimisation

* How to find maximum and minimum values using calculus

* How to use calculus to help sketch curves

* Practical examples

* How to form your own equation and optimise

5 Cubics and Beyond

* We extend the method to cubic and higher order equations.

* The second derivative

6 Negative Powers

* How to find gradients when the power is negative

7 Fractional Powers

* How to find gradients when the power is a fraction.

8 Ratio of Gradients

* We see that for the curves y = ax^n
there is a ratio of gradients that is equal to the power, n.

* And how we can use that ratio to get gradients.

9 Area Under a Parabola

* How we can easily get areas under a parabola

* How to use symmetry to extend the method

10 Ratio of Areas

* How to get the area under a straight line, sloping or horizontal

* How to get the area under a cubic curve

* How the various results are unified

* How to get the area under a curve which is defined by several terms

11 Integration

* What integration is

* What the 'constant of integration' is and how to find it

* The quick way to integrate

* The symbol for integration

* How to integrate a series of terms

12 Integration and Area

* How integration and areas are connected

* How we can use the integration notation to describe areas

13 Motion

* How a formula can give positions, speeds and accelerations

* How these formulae are related through differentiation and integration

14 Differential Equations

* What a differential equation is

* How to construct a differential equation

* How to use a simple pattern to construct the equation

* How to reverse that pattern to get a solution to differential equations

15 Functions

* What functions and their notation

16 Function of a Function

* The meaning and how to differentiate it

17 Products and Quotients

* How to differentiate products and quotients

18 The Exponential Function

* What it is and how to differentiate such functions