This question will help you understand and calculate various statistical concepts like mean, median, variance etc.

A question to practise the following skills in the context of Earth Sciences:

• graph-reading skills
• using a graph to find the equation of a line
• used adpative marking

This exercise will help you solve questions based on subduction zones using  the Cosine rule.

Using Jsxgraph to draw the vector field for a differential equation of the form $\frac{dy}{dx}=f(x,y)=\sin(x-y)$, and also by moving the point $(x_0,y_0)$ you can see the solution curves going through that point. 

If you want to modify $f(x,y)$ simply change the definition of  $f(x,y)$ and that of the variable  str in the user defined function testfield in Extensions and scripts. You have to use javascript notation for functions and powers in the definition of $f(x,y)$.

Use Sine rule and Cosine rule to solve a Geometry problem in geology.

Apply partial diffenetiation in a geology problem.

Perform basic operations with 2x2 matrices - addition, subtraction, multiplication by scalar, matrix multiplication, determinant, transpose

This question is application of integration in geology using the concept of summation.

Calculating complex numbers raised to an natural number exponent

Calculating the square root of a complex number using De Moivre.

Newton-Raphson numerical method question to solve $g(x)=0$

Includes a graph of the function $g(x)$ in Advice using Jsxgraph.

Solving quadratic equations using a formula,

A student selects a card from a deck of 52 and rolls a dice once.

rebelmaths

Simple Definite Integrals

Simple Definite Integrals

Simple Definite Integrals

Simple Definite Integrals

Simple Definite Integrals

Ask for the square of each number from 0 to 15, in random order.

The shuffle function puts a list in random order.

Questions on integration using various methods such as parts, substitution, trig identities and partial fractions.

Calculate the cube roots of a complex number using De Moivre.

Calculating the square root of a complex number using De Moivre.

Calculating complex numbers raised to an natural number exponent

Euler's identity \(e^{j\theta}=cos(\theta)+jsin(\theta)\)

modulus & argument of a complex number

Complex number multiplication & division

Differential equations.

rebelmaths

Find the solution of $\displaystyle \frac{dy}{dx}=\frac{1+y^2}{a+bx}$ which satisfies $y(1)=c$

rebelmaths

Quiz to assess matrix addition, subtraction, multiplication and multiplication by scalar, determinants and inverses, solving a system of simultaneous equations.

Using Jsxgraph to draw the vector field for a differential equation of the form $\frac{dy}{dx}=f(x,y)=x^3-y^3$, and also by moving the point $(x_0,y_0)$ you can see the solution curves going through that point.

If you want to modify $f(x,y)$ simply change the definition of  $f(x,y)$ and that of the variable  str in the user defined function testfield in Extensions and scripts. You have to use javascript notation for functions and powers in the definition of $f(x,y)$.