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Wayne Wu @masterwu
@masterwu
59
Virtual Math Tutor
Followers
437
Following
56
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Location
Brisbane, Australia
Website
https://www.youtube.com/user/MasterWuMaths
Created
2017-08-15 14:50
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masterwu
steemstem
2018-04-26 08:30
[DTube] Integration of ∫sec(x)dx
I'm in the process of uploading all of my Youtube videos to DTube, where they can be recorded on the Steem blockchain. There is no obvious way to integrate the secant function, sec(x). One way is to use
$ 1.188
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masterwu
steemstem
2018-04-26 08:02
Integral of tan^3(x)
A little while ago, I posted a solution to deriving the reduction formula for the integral of tann(x), that is, integer powers of the tangent function. We use the principles discussed in this post to find
$ 3.019
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masterwu
steemstem
2018-04-24 07:18
[DTube] Integral of ∫ 3x^2+8 / x^3+4x dx with f'(x)/f(x)
In this video, we perform the integral of 3x2+8 / x3+4x with the f'(x)/f(x) rule... We do this first by expressing the function as a quotient of 2 functions: And realising that q'(x) = 3x^2 + 4, which
masterwu
steemstem
2018-04-23 12:00
Modelling Car Suspension with ODE's: Damped Free Oscillations Part 1
In my previous post, I stated that all real world free oscillating systems are damped because their vibrations eventually attenuate away, due to energy dissipation to the surrounding environment. However,
masterwu
steemstem
2018-04-20 02:20
Modelling with Second Order ODE's: Undamped Free Oscillations
An undamped mass-spring system shown in Figure 1 below. These systems are commonly studied in mechanical engineering and mathematics. They are purely theoretical because they neglect damping forces. A
masterwu
steemstem
2018-04-10 06:24
Roots of Homogeneous Second Order ODE's and the Nature their Solutions
Continuing our second-order differential equations journey, let's have a look at some possible solutions to the homogeneous second order linear ODE... Now, to recap, the characteristic equation corresponding
masterwu
steemstem
2018-03-11 07:39
Finding a Basis for solutions of Second Order ODE's
In the last post, said I would show you how solutions of second-order linear, differential equations behave physically. But before we can do that, I have to cover this rather dry, math intense proof, in
masterwu
steemstem
2018-03-10 07:59
Introduction to Second Order Differential Equations
Let's take a dive into the fascinating world of Second Order Differential equations. These have very important applications in engineering, and you'll see them repeatedly in the modelling of electrical
masterwu
steemstem
2018-03-04 11:44
[DTube] Finding the n-th Roots of a Complex Number using DeMoivre's Theorem
I'm in the process of uploading all of my Youtube videos to DTube, where they can be recorded on the Steem blockchain. In this video, we look at applying De Moivre's Theorem to find the n-th roots of a
masterwu
steemstem
2018-03-03 13:48
[DTube] Finding Powers of Complex Numbers using DeMoivre's Theorem
I'm in the process of uploading all of my Youtube videos to DTube, where they can be recorded on the Steem blockchain. If we were to try and evaluate powers of complex numbers in their cartesian form,
masterwu
steemstem
2018-03-01 16:15
Stealing Eggs to stop Feral Pigeon overpopulation: Lowering Birthrates in Leslie Matrices
1. A large pigeon coop in Batman Park, Melbourne, designed to encourage nesting and removal of fertilised eggs.Image source: Wikimedia Commons Previously with our pigeon overpopulation problem, we have
masterwu
steemstem
2018-02-28 14:36
[DTube] How to Calculate Monthly Loan Repayments
I'm in the process of uploading all of my Youtube videos to DTube, where they can be recorded on the Steem blockchain. This video demonstrates how to calculate monthly loan repayments and time required
masterwu
steemstem
2018-02-27 13:47
[DTube] Deriving the Product to Sum Formulas
I'm in the process of uploading all of my Youtube videos to DTube, where they can be recorded on the Steem blockchain. The product to sum formulas are another subset of trigonometric identities. In this
masterwu
steemstem
2018-02-26 13:30
[DTube] Proof of the Sum-Difference Formulas - Part 2
I'm in the process of uploading all of my Youtube videos to DTube, where they can be recorded on the Steem blockchain. In this video, we use the results from the previous video to derive the formulas:
masterwu
steemstem
2018-02-25 11:56
Fightback against the Pigeon onslaught: Culling and Leslie Matrices
Let's recap... Before we look further into the city feral pigeon problem, let's revise what we've established so far with the Leslie model for population growth. Figure 1. Feral pigeons in Catalunya Square,
masterwu
steemstem
2018-02-23 05:09
[DTube] Proof of the Sum-Difference Formulas - Part 1
I'm in the process of uploading all of my Youtube videos to DTube, where they can be recorded on the Steem blockchain. This video demonstrates just one of the geometric methods you can use to derive the
masterwu
steemstem
2018-02-22 14:31
Rise of the Feral Pigeons: Introduction to Leslie Matrices
We've seen in applied mathematics, there are several models for population growth of a species. In my own posts, I have briefly covered the natural (or exponential), logistic growth and predator-prey models.
masterwu
steemstem
2018-02-16 11:08
What's faster? Going up or Coming Down?
Suppose you are able to shoot a ball vertically straight up in the air and observe its motion (I don't know why... you might have a ballistic canon installed in the ground that allows you to do such a
masterwu
steemstem
2018-02-11 13:36
Foxes hunting Bunnies: Population Modelling with the Predator-Prey Equations
Let's take a peek into a more advanced area of study in the field of differential equations. A few days ago @mathowl posted a fascinating article: "The mathematics behind medieval battles" and
masterwu
steemstem
2018-02-07 14:27
How to find Integrating Factors for Linear First-Order Differential Equations
Figure 1. Solutions of Equation (10) Let's briefly recap the exponential decay model, which is typically modeled by... Being a separable first order differential equation, we can separate the variables
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