Ranked #1
Sketching polynomial graphs without calculus - Part 1 (MathsCasts)
Sketching polynomial graphs without calculus - Part 1 (MathsCasts)
Sketch of y = 2(x+1)^2-3.
6 Mar 2017
•
6mins
Ranked #2
What is a Laplace transform and why do you need to study it? (MathsCasts)
What is a Laplace transform and why do you need to study it? (MathsCasts)
Brief introduction to why we use Laplace transforms, with mention of tables.
6 Mar 2017
•
4mins
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Ranked #3
A further example of integration by parts using the tabular scheme (MathsCasts)
A further example of integration by parts using the tabular scheme (MathsCasts)
Integration by parts is used to integrate the product of two polynomials.
5 Mar 2017
•
6mins
Ranked #4
Composite hyperbolic functions involving an inverse function- example 2 (MathsCasts)
Composite hyperbolic functions involving an inverse function- example 2 (MathsCasts)
In this recording we look at a second example of how to write a composite hyperbolic function as an algebraic function o... Read more
17 May 2016
•
5mins
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Ranked #5
Directional derivative using the grad operator (MathsCasts)
Directional derivative using the grad operator (MathsCasts)
We write the directional derivative on a surface z=z(x,y) in terms of the grad operator acting on z as a dot product wit... Read more
17 May 2016
•
9mins
Ranked #6
Matrix multiplication using index notation (MathsCasts)
Matrix multiplication using index notation (MathsCasts)
We show how to use index notation and sum over row and column indices to perform matrix multiplication. The Einstein sum... Read more
22 Mar 2014
•
8mins
Ranked #7
The scalar (dot) product of two vectors - Part 1 (MathsCasts)
The scalar (dot) product of two vectors - Part 1 (MathsCasts)
We justify the definition of the scalar product using the example of work done by a force.
10 Jan 2014
•
9mins
Ranked #8
Irrotational vector fields, potential function and path integral - Part 1 (MathsCasts)
Irrotational vector fields, potential function and path integral - Part 1 (MathsCasts)
We explain the concept of an irrotational vector field and potential for such a field, then show how the potential is us... Read more
7 Jan 2014
•
11mins
Ranked #9
Three Dimensional Vector (MathsCasts)
Three Dimensional Vector (MathsCasts)
Representing a three dimensional vector in three dimensional space using the x,y and z axes. writing a three dimensional... Read more
17 Dec 2013
•
5mins
Ranked #10
Sequences and Series: Definiton (MathsCasts)
Sequences and Series: Definiton (MathsCasts)
Definition of a sequence and definition of a series. Introduces the concept of the convergence or divergence of a series... Read more
29 Nov 2013
•
4mins
Ranked #11
Power of a Complex Number: De Moivre's Formula (MathsCasts)
Power of a Complex Number: De Moivre's Formula (MathsCasts)
Explains the calculation of the power of a complex number using the exponential form to finally deduce De Moivre's Formu... Read more
22 Nov 2013
•
9mins
Ranked #12
Multiplying a Vector by a Scalar (MathsCasts)
Multiplying a Vector by a Scalar (MathsCasts)
Simple examples showing the geometric and algebraic effect on magnitude and direction of vectors when multiplying vector... Read more
19 Nov 2013
•
5mins
Ranked #13
Components of a Vector (Part 1) (MathsCasts)
Components of a Vector (Part 1) (MathsCasts)
Explaination of how to resolve a vector into its horizontal and vertical components.
13 Nov 2013
•
2mins
Ranked #14
Adding and Subtracting Vectors Algebraically (MathsCasts)
Adding and Subtracting Vectors Algebraically (MathsCasts)
Worked examples of adding and subtracting vectors algebraically in terms of i and j and also using the result of the pro... Read more
5 Nov 2013
•
3mins
Ranked #15
Integrating rational functions - Part 1 (MathsCasts)
Integrating rational functions - Part 1 (MathsCasts)
This recording demonstrates how to integrate rational functions where the numerator is a constant and the denominator is... Read more
28 Aug 2013
•
5mins
Ranked #16
A Geometric proof of the sum and difference formulae for sin and cos (MathsCasts)
A Geometric proof of the sum and difference formulae for sin and cos (MathsCasts)
We prove the formula for sin(A-B) using right-angled triangles then we show how the corresponding formulae for cos(A-B) ... Read more
27 Aug 2013
•
11mins
Ranked #17
Finding the divergence and curl of a simple vector field (MathsCasts)
Finding the divergence and curl of a simple vector field (MathsCasts)
We calculate the divergence and curl of a simple vector field
13 May 2013
•
6mins
Ranked #18
Finding the Laplace transform of an integral (MathsCasts)
Finding the Laplace transform of an integral (MathsCasts)
Knowing the Laplace transform of a function f(t) allows us also to calculate the transform of the integral of f(t). We s... Read more
5 Apr 2013
•
4mins
Ranked #19
Quotient rule Part 1 (MathsCasts)
Quotient rule Part 1 (MathsCasts)
Introduction to the Quotient rule, outlining when and how to apply it with one example. Steps involved are outlined also... Read more
24 Sep 2012
•
4mins
Ranked #20
The small element of area for circular polar coordinates (MathsCasts)
The small element of area for circular polar coordinates (MathsCasts)
We investigate a small piece of area in a 2D region. We justify pictorially, the factor of r in the form dA = r dr theta... Read more
14 Sep 2012
•
9mins
