VedicMaths.Org Conference

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. Section 1 of this course is free (click on Lesson 1 to start)

Course created and delivered by Kenneth Williams.

Testimonials from previous courses

CLICK HERE to access

    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