# Dr Chris Tisdell

• ### e is a magic number (song about e)

62,273 views 3 years ago
Fun with a math song all about the famous number e. Free ebook http://tinyurl.com/EngMathYT

E is a magic number
by Dr Chris Tisdell

e is a magic number,
Yes it is,
it's a magic number.
All across our scientific community,
You'll find e,
'cos it's a magic number.

Difficult science was Bernoulli's pleasure,
­Pleasure and learning start in the heart,
e was born when Bernoulli measured,
compound interest in small time parts.

More than 2 but less than 3,
e is nearer 2.7183.
Originally "b" but changed to "e"
by Euler who wrote it as an infinite series!

Not everybody wants a PhD,
not everyone wants a math degree,
but number e is the best,
and you must confess
Love for Bernoulli and e
'cos it's a magic number.

E is kinda related to \pi,
both irrational they go on and never die,
E to the i\pi plus 1 equals zero,
Euler's formula and e is the hero.

Showing true position,
respect to Napier for logarithms
although he never mentioned e explicitly.
Transcendental as it may be,
It's found in probability
Oh how I love that magic number e!

e is a magic number,
Yes it is,
it's a magic number.
All across our scientific community,
you'll find e,
'cos it's a magic number.

(repeat last 6 lines) Show less
• ## Introduction to Vectors Play all

Introduction to vectors and their applications. No prior knowledge of vectors is assumed. Download the FREE ebook for these videos http://tinyurl.com/VectorsYT "Introduction to Vectors".
• ### Introduction to Vectors with Dr Chris Tisdell - Duration: 2 minutes, 44 seconds.

• 5,392 views
• Streamed 2 years ago
• ### Intro to Vectors - Duration: 31 minutes.

• 8,140 views
• Streamed 3 years ago
• ### Parallelogram proof with vectors - Duration: 8 minutes, 6 seconds.

• 3,921 views
• 3 years ago
• ### What is a vector? - Duration: 17 minutes.

• 3,161 views
• Streamed 3 years ago
• ### Vectors: Length and Direction - Duration: 19 minutes.

• 2,077 views
• Streamed 3 years ago
• ### How to determine the vector from one point to another point - Duration: 10 minutes.

• 2,077 views
• Streamed 3 years ago
• ### Vectors in 3 dimensions - Duration: 10 minutes.

• 2,938 views
• Streamed 3 years ago
• ### Associative law for vector addition - Duration: 6 minutes, 44 seconds.

• 1,464 views
• 3 years ago
• ### Scalar multiplication of vectors: Associative law - Duration: 4 minutes, 11 seconds.

• 1,794 views
• 3 years ago
• ### Distributive law for Vectors - Duration: 4 minutes, 9 seconds.

• 2,381 views
• 3 years ago
• ### Parallel vectors and collinear points example - Duration: 10 minutes.

• 4,278 views
• Streamed 3 years ago
• ### Vectors and collinear points example - Duration: 7 minutes, 37 seconds.

• 1,782 views
• Streamed 3 years ago
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• ## Intro to Complex Numbers Play all

Gentle introduction to complex numbers. No prior knowledge of complex numbers is assumed. Come and find out why they are AWESOME! Free ebook http://bookboon.com/en/introduction-to-complex-numbers-ebook
• ### Introduction to Complex Numbers (Free Ebook) - Duration: 91 seconds.

• 5,082 views
• Streamed 1 year ago
• CC
• ### Complex numbers are AWESOME - Duration: 16 minutes.

• 8,092 views
• Streamed 2 years ago
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• ### How to add and subtract complex numbers - Duration: 7 minutes, 11 seconds.

• 2,420 views
• Streamed 2 years ago
• CC
• ### Scalar multiply a complex number - Duration: 6 minutes, 51 seconds.

• 1,929 views
• Streamed 2 years ago
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• ### How to multiply complex numbers - Duration: 7 minutes, 21 seconds.

• 1,890 views
• Streamed 2 years ago
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• ### How to divide complex numbers - Duration: 8 minutes, 56 seconds.

• 1,998 views
• Streamed 2 years ago
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• ### Complex numbers: Quadratic formula - Duration: 8 minutes, 36 seconds.

• 1,727 views
• Streamed 2 years ago
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• ### What is the complex conjugate? - Duration: 12 minutes.

• 1,591 views
• Streamed 2 years ago
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• ### Calculations with the complex conjugate - Duration: 7 minutes, 2 seconds.

• 1,354 views
• Streamed 2 years ago
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• ### How to show a number is purely imaginary - Duration: 12 minutes.

• 1,604 views
• Streamed 2 years ago
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• ### Complex numbers: example of how to prove the real part of a complex number is zero. - Duration: 4 minutes, 20 seconds.

• 6,468 views
• 8 years ago
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• ### Complex conjugate and linear systems - Duration: 9 minutes, 27 seconds.

• 1,292 views
• Streamed 2 years ago
• CC
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• ## Engineering Mathematics YouTube Workbook Play all

Videos to accompany my new ebook "Engineering Mathematics: YouTube Workbook" which is freely available from
http://tinyurl.com/EngMathYT

Partial derivatives & applications
Partial derivatives & partial differential equations
Partial derivatives & chain rule
Taylor polynomial approximations: two variables
Error estimation
Differentiate under integral signs: Leibniz rule
Some max/min problems for multivariable functions
How to determine & classify critical points
More on determining & classifying critical points
The method of Lagrange multipliers
Another example on Lagrange multipliers
More on Lagrange multipliers: 2 constraints
A glimpse at vector calculus
Vector functions of one variable
The gradient field of a function
The divergence of a vector field
The curl of a vector field
Introduction to line integrals
More on line integrals
Fundamental theorem of line integrals
Flux in the plane + line integrals
Double integrals and applications
How to integrate over rectangles
Double integrals over general regions
How to reverse the order of integration
How to determine area of 2D shapes
Double integrals in polar co-ordinates
More on integration & polar co-ordinates
Ordinary differential equations
Separable differential equations
Linear, first–order differential equations
Homogeneous, first–order ODEs
2nd–order linear ordinary differential equations
Nonhomogeneous differential equations
Variation of constants / parameters
Laplace transforms and applications
Introduction to the Laplace transform
Laplace transforms + the first shifting theorem
Laplace transforms + the 2nd shifting theorem
Laplace transforms + differential equations
Fourier series
Introduction to Fourier series
Odd + even functions + Fourier series
More on Fourier series
Applications of Fourier series to ODEs
PDEs & separation of variables
Deriving the heat equation
Heat equation & separation of variables
Heat equation & Fourier series
Wave equation and Fourier series
Bibliography

MATH2019
• ### Partial derivatives + PDEs tutorial - Duration: 9 minutes, 16 seconds.

• 30,953 views
• 5 years ago
• ### Chain rule + partial derivatives - Duration: 8 minutes, 54 seconds.

• 17,369 views
• 5 years ago
• ### Taylor polynomials + functions of two variables - Duration: 10 minutes.

• 6,866 views
• 5 years ago
• ### Partial derivatives + error estimation - Duration: 12 minutes.

• 4,735 views
• 5 years ago
• ### Differentiate under integral signs: Leibniz rule - Duration: 10 minutes.

• 21,533 views
• 5 years ago
• ### How to find + classify critical points of functions - Duration: 11 minutes.

• 3,645 views
• 5 years ago
• ### Finding critical points of functions - Duration: 14 minutes.

• 3,262 views
• 5 years ago
• ### Method of Lagrange multipliers. - Duration: 18 minutes.

• 13,740 views
• 5 years ago
• ### Lagrange multipliers: an example - Duration: 11 minutes.

• 7,753 views
• 5 years ago
• ### Lagrange multipliers: 2 constraints - Duration: 11 minutes.

• 5,744 views
• 5 years ago
• ### Vector functions of one variable tutorial - Duration: 13 minutes.

• 7,257 views
• 5 years ago
• ### Gradient of a function. - Duration: 14 minutes.

• 52,091 views
• 5 years ago
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• ## Math is Fun! Play all

Maths is fun!!! Some funny and inspiring videos about mathematics. Enjoy!!
• ### Cutest part of math? - Duration: 40 seconds.

• 8,273 views
• Streamed 2 years ago
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• ### e is a magic number (song about e) - Duration: 2 minutes, 12 seconds.

• 62,273 views
• 3 years ago
• CC
• ### Infinity Song (Fun With Math) - Duration: 2 minutes, 1 second.

• 1,888 views
• 2 years ago
• CC
• ### Math vs Maths: A new approach - Duration: 6 minutes, 2 seconds.

• Streamed 3 years ago
• ### What does Q.E.D. stand for? - Duration: 104 seconds.

• 1,365 views
• Streamed 2 years ago
• ### Echidna equation - Duration: 5 minutes, 5 seconds.

• 1,183 views
• Streamed 3 years ago
• ### How to make math series EASY! - Duration: 10 minutes.

• Streamed 3 years ago
• ### How to choose a thesis topic - Duration: 4 minutes, 6 seconds.

• 27,288 views
• Streamed 2 years ago
• ### How to choose a thesis advisor - Duration: 2 minutes, 42 seconds.

• 1,434 views
• Streamed 2 years ago
• ### Funny student feedback! - Duration: 2 minutes, 8 seconds.

• 2,641 views
• Streamed 2 years ago
• ### How to end a proof - Duration: 4 minutes, 34 seconds.

• 1,261 views
• Streamed 2 years ago
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• ## Engineering Mathematics Play all

Engineering Mathematics covers aspects of applied mathematics including: multivariable calculus; vector field theory; differential equations; Laplace transforms and Fourier series.
MATH2019
• ### Vector Revision - Duration: 42 minutes.

• 87,217 views
• 6 years ago
• ### Intro to curves and vector functions - Duration: 49 minutes.

• 22,944 views
• 6 years ago
• ### Limits of vector functions - Duration: 44 minutes.

• 9,284 views
• 6 years ago
• ### Calculus of vector functions - 1 variable - Duration: 20 minutes.

• 10,376 views
• 5 years ago
• ### Calculus of vector functions tutorial - Duration: 44 minutes.

• 10,026 views
• 6 years ago
• ### Vector functions of one variable tutorial - Duration: 13 minutes.

• 7,257 views
• 5 years ago
• ### Vector functions tutorial - Duration: 29 minutes.

• 5,444 views
• 6 years ago
• ### Intro to functions of two variables - Duration: 33 minutes.

• 14,575 views
• 6 years ago
• ### 2 variable functions: graphs + limits tutorial - Duration: 41 minutes.

• 9,237 views
• 6 years ago
• ### Product + Quotient rule formulas: Partial derivatives - Duration: 52 seconds.

• 3,807 views
• 4 years ago
• ### How to compute partial derivatives - Duration: 6 minutes, 24 seconds.

• 16,323 views
• 4 years ago
• ### Partial derivatives: 2nd order examples - Duration: 4 minutes, 36 seconds.

• 11,206 views
• 4 years ago
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• ## Research in Mathematics Play all

A showcase for new mathematical research and discoveries. The aims of these presentations are: to share recent mathematical advancements; to increase impact and awareness of mathematical research; to stimulate further research on the topics of interest; and to foster connections with global reseachers.
Potential audiences for these videos range from: advanced undergraduates to career researchers, including Honours, Masters and PhD students.
• ### Improved contraction methods for discrete boundary value problems - Duration: 39 minutes.

• 5,020 views
• 4 years ago
• ### Gronwall's inequality & fractional differential equations - Duration: 36 minutes.

• 5,163 views
• 5 years ago
• ### Approximate solutions to fractional differential equations - Duration: 38 minutes.

• 3,345 views
• 5 years ago
• ### Banach fixed point theorem & differential equations - Duration: 39 minutes.

• 9,625 views
• 5 years ago
• ### Dynamic equations on time scales - Duration: 48 minutes.

• 3,472 views
• 5 years ago
• ### Exact dynamic equations on time scales - Duration: 25 minutes.

• 1,158 views
• 4 years ago
• ### Applications of analysis to fractional differential equations - Duration: 37 minutes.

• 4,618 views
• 4 years ago
• ### Comparison Theorem for Fractional Differential Equations - Duration: 17 minutes.

• 1,742 views
• Streamed 2 years ago
• ### How to choose a thesis topic - Duration: 4 minutes, 6 seconds.

• 27,288 views
• Streamed 2 years ago
• ### How to choose a thesis advisor - Duration: 2 minutes, 42 seconds.

• 1,434 views
• Streamed 2 years ago
• ### Is the Thomas Fermi problem well posed? - Duration: 26 minutes.

• 1,519 views
• Streamed 2 years ago
• ### When do fractional differential equations have solutions bounded by the Mittag-Leffler function? - Duration: 31 minutes.

• 1,972 views
• Streamed 2 years ago
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• ## Partial differential equations Play all

An introduction to partial differential equations. This is a basic course for those who have learnt Calculus 3. We show how to solve PDE, some of their derivations and applications, plus some beautiful theoretical ideas.
In mathematics, a partial differential equation (PDE) is a differential equation that contains unknown multivariable functions and their partial derivatives. (A special case are ordinary differential equations (ODEs), which deal with functions of a single variable and their derivatives.)
• ### How to solve PDE via method of characteristics - Duration: 12 minutes.

• 58,541 views
• 4 years ago
• ### How to solve the transport equation (PDE) - Duration: 13 minutes.

• 21,333 views
• 3 years ago
• ### How to solve basic transport PDE problems - Duration: 5 minutes, 37 seconds.

• 7,700 views
• 3 years ago
• ### The transport equation - Duration: 9 minutes, 20 seconds.

• 7,196 views
• 3 years ago
• ### How to solve PDE via directional derivatives - Duration: 7 minutes.

• 5,632 views
• 3 years ago
• ### Solve PDE via an integrating factor - Duration: 7 minutes, 50 seconds.

• 6,278 views
• 3 years ago
• ### How to derive the more general transport equation - Duration: 6 minutes, 14 seconds.

• 4,446 views
• 3 years ago
• ### How to solve inhomogeneous transport PDE - Duration: 21 minutes.

• 8,281 views
• 3 years ago
• ### How to solve PDE via change of co-ordinates - Duration: 12 minutes.

• 4,559 views
• 3 years ago
• ### How to solve PDE via change of variables - Duration: 9 minutes, 18 seconds.

• 10,401 views
• 3 years ago
• ### Example of how to solve PDE via change of variables - Duration: 10 minutes.

• 7,377 views
• 3 years ago
• ### Method of Characteristics: How to solve PDE - Duration: 23 minutes.

• 48,537 views
• 3 years ago
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• ### Rethinking pedagogy for second order differential equations via the Uber metric - Duration: 13 minutes.

• 469 views
• Streamed 2 weeks ago
• ### Rethinking pedagogy for second order differential equations: Research for undergraduates - Duration: 18 minutes.

• 535 views
• Streamed 1 month ago
• ### My Favourite Math Bot: Chris Tisdell - Duration: 3 minutes, 15 seconds.

• 494 views
• Streamed 1 month ago
• CC
• ### Will technology replace teachers? Chris Tisdell - Duration: 2 minutes, 17 seconds.

• 551 views
• Streamed 2 months ago
• CC
• ### Alternate solution to generalised Bernoulli equations via an integrating factor: An Exact Approach - Duration: 17 minutes.

• 773 views
• Streamed 2 months ago
• ### What Keeps Me Awake At Night - Chris Tisdell - Duration: 90 seconds.

• 1,048 views
• 2 months ago
• ### Intro to Linear Systems: 3 Equations, 3 Unknowns - Dr Chris Tisdell Live Stream - Duration: 7 minutes, 33 seconds.

• 697 views
• Streamed 6 months ago
• ### Intro to Linear Systems: 2 Equations, 3 Unknowns - Dr Chris Tisdell Live Stream - Duration: 17 minutes.

• 623 views
• Streamed 6 months ago
• ### Intro to Linear Systems: 2 Equations, 2 Unknowns - Dr Chris Tisdell Live Stream - Duration: 13 minutes.

• 669 views
• Streamed 6 months ago
• ### How to solve logarithm equations: Dr Chris Tisdell Live Stream - Duration: 3 minutes, 59 seconds.

• 1,205 views
• Streamed 11 months ago
• ### Basic logarithm examples: Dr Chris Tisdell Live Stream - Duration: 9 minutes, 47 seconds.

• 439 views
• Streamed 11 months ago
• ### What are logarithms?: Dr Chris Tisdell Live Stream - Duration: 11 minutes.

• 697 views
• Streamed 11 months ago
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• ## Popular uploads Play all

• ### Intro to Fourier series and how to calculate them - Duration: 13 minutes.

• 333,206 views
• 6 years ago
• ### How to solve ANY differential equation - Duration: 5 minutes, 5 seconds.

• 324,294 views
• 4 years ago
• ### How to compute a Fourier series: an example - Duration: 8 minutes, 25 seconds.

• 257,321 views
• 7 years ago
• ### How to solve linear differential equations - Duration: 27 minutes.

• 207,379 views
• 4 years ago
• ### Domain and range of a function tutorial - Duration: 10 minutes.

• 200,576 views
• 6 years ago
• ### Heat equation: Separation of variables - Duration: 47 minutes.

• 148,488 views
• 5 years ago
• ### Fourier series: the basics - Duration: 41 minutes.

• 143,366 views
• 5 years ago
• ### How to solve second order differential equations - Duration: 41 minutes.

• 129,389 views
• 6 years ago
• ### How to solve initial value problems - Duration: 3 minutes, 50 seconds.

• 108,892 views
• 4 years ago
• ### Intro to Fourier transforms: how to calculate them - Duration: 22 minutes.

• 101,883 views
• 3 years ago
• ### Fourier series: Odd + even functions - Duration: 48 minutes.

• 98,042 views
• 5 years ago
• ### Wave equation + Fourier series + Separation of variables - Duration: 47 minutes.

• 96,780 views
• 5 years ago
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• ## Created playlists

• ### Mathematical analysis and applications - Playlist

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