An introduction to using the quotient rule

A basic introduction to differentiation

Introduction to using the product rule

An introduction to using the quotient rule

A basic introduction to differentiation

A basic introduction to differentiation

A basic introduction to differentiation

An introduction to using the quotient rule

Introduction to using the product rule

A basic introduction to differentiation

A basic introduction to differentiation

Introduction to using the product rule

An introduction to using the quotient rule

An introduction to using the quotient rule

Knowing the doubling time of a population and the population on day $t$, calculate the initial population and the number of days required for the population to reach a threshold. 

Introduction to Laplace Transforms

Using given information to complete the equation $c= A \cos{ \left( \frac{2 \pi}{P} \left( t-H \right) \right) }+V $ that describes the concentration, $c$, of perscribed drug in a patient's drug over time, $t$. Calculating the maximum concentration and the concentration at a specific time. 

Knowing the half-life of Carbon-14 and the initial mass of Carbon-14 when a tree was cut (a) write an expression that describes the relationship between the remaining mass and time, (b) calculate the remaining mass after $t$ years, and (c) given the remaining mass calculate how many years ago the tree was cut down. 

This question asks students to solve a discrete logarithm problem with Pollard's rho algorithm as exposed in the book "introduction to cryptography with open source software" by McAndrew.

Part of HELM Book 1.3

Part of HELM Book 1.2

Part of HELM Book 1.1

Introduction to using the product rule

Using the given information to complete the equation $y= A \cos{ \left( \frac{2 \pi}{P} x  \right) }+V $ that describes an electromagnetic wave and calculating the smallest angle, $x$, for which $y=y_0$.

Introduction to percentage

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These practice questions cover:

• resolving axial forces in a truss structure
• stress & strain in a closed thin-walled pressure vessel (an example of 2D plane stress)
• use of Mohr's circle for determining principal stresses for a 2D plane stress case
• calculation of invariants for general 3D stress case, leading to von Mises stress and principal stresses

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A basic introduction to differentiation

easy vector addition and scalar multiplication, for practice after Section 1 of lectures.

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