Matthew A.

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Biography

I am currently undertaking a PhD in applied mathematics at the University of Sheffield. My research involves using fluid dynamics to model the flow of plasma in the Sun's atmosphere.

For the past 4 years of my PhD, I have taught a variety of mathematics and computer programming topics to university level students. I specialise in teaching advanced mathematical techniques to students without a strong mathematical background.

I teach for those "penny-drop" moments, where the content suddenly clicks with the student. That makes it all worth it.

- Website: https://www.matthewallcock.co.uk/
- LinkedIn: https://www.linkedin.com/in/matthew-allcock/

Education

Phd Applied Mathematics

Other Schools

MS Mathematics

Other Schools

Topics Covered

Integration Techniques

Improper Integrals

Parametric Equations

Polar Coordinates

Integrals

Integration

Functions

Trig Integrals

Differential Equations

Matthew's Textbook Answer Videos

Fundamentals of Differential Equations

In Problems $1-8,$ classify the equation as separable, linear, exact, or none of these. Notice that some equations may have more than one classification.
$$\left(x^{2} y+x^{4} \cos x\right) d x-x^{3} d y=0$$

Chapter 2: First-Order Differential Equations

Section 4: Exact Equations

Fundamentals of Differential Equations

$$ 2 t x d x+\left(t^{2}-x^{2}\right) d t=0 $$

Chapter 2: First-Order Differential Equations

Section 6: Substitutions and Transformations

Fundamentals of Differential Equations

In Problems $1-8,$ classify the equation as separable, linear, exact, or none of these. Notice that some equations may have more than one classification.
$$\sqrt{-2 y-y^{2}} d x+\left(3+2 x-x^{2}\right) d y=0$$

Chapter 2: First-Order Differential Equations

Section 4: Exact Equations

Fundamentals of Differential Equations

$$d y / d x+y / x=x^{3} y^{2}$$

Chapter 2: First-Order Differential Equations

Section 6: Substitutions and Transformations

Fundamentals of Differential Equations

In Problems $1-8,$ classify the equation as separable, linear, exact, or none of these. Notice that some equations may have more than one classification.
$$[2 x+y \cos (x y)] d x+[x \cos (x y)-2 y] d y=0$$

Chapter 2: First-Order Differential Equations

Section 4: Exact Equations

Fundamentals of Differential Equations

In Problems $9-20$ , determine whether the equation is exact. If it is, then solve it.
$$(2 x y+3) d x+\left(x^{2}-1\right) d y=0$$

Chapter 2: First-Order Differential Equations

Section 4: Exact Equations

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