Online Training

Draw graphs in the form x = k, parametric graphs and linear inequalities
Draw graphs where x = constant, and parametric graphs. Draw inequalities and shade the feasible region. Polar graphs are in a separate video.

How draw graphs with variable coefficients
Explore the shape of graphs when the coefficients of the variables change. See also the video ‘Transforming Graphs’.

Explore the transformation of graphs
Explore the transformation of graphs using variable coefficients. Make sure you know how to use MODIFY first – see the video ‘Using MODIFY for graphs’.

How to create a table of values for a function.
Create a table of values for a function in various step sizes, and evaluate particular inputs. Create tables for the derivative function and explore roots through a change in values.

Evaluate derivatives, and draw the derivative function
Evaluate first and second derivatives, and draw the derivative function.

Evaluate definite integrals and the area under a graph
Evaluate definite integrals. Draw and calculate the area between limits and roots of a function. Draw and evaluate the area between two functions.

Evaluate and draw recursive sequences
Evaluate recursive (inductive) sequences in the form u(n+1)=f[u(n)]. Solve equations using a recursive sequence, draw the sequence and cobweb diagram.

How to enter and manipulate data in lists
How to enter data for statistics in lists and frequency tables. Correct errors, sort and make calculations such as percentages and cumulative frequency.

How to calculate single variable statistics such as mean and quartiles
How to calculate single variable statistics such as mean, standard deviation and quartiles, both without and with a frequency table.

How to draw a scatter diagram and calculate linear regression statistics
How to draw a scatter diagram and calculate the correlation coefficient (PMCC). Evaluate the coefficients of the regression line and plot it on the data.

How to draw a histogram
How to draw a histogram, and compare two different histograms.

How to draw a box plot.
How to draw a box plot, and compare two different box plots.

Calculate Binomial distribution probabilities and critical values for a hypothesis test
Calculate single and cumulative binomial probability. Calculate critical values for a hypothesis test.

Calculate Normal distribution probabilities and values
Calculate and draw probabilities for the Normal distribution. Calculate values from the inverse Normal distribution.

Calculate and solve equations with complex numbers
How to enter calculations for complex numbers. Solve the complex roots of polynomials in both exact and decimal form.

Draw conic sections and with variable coefficients
Draw conic sections in rectangular, parametric and polar forms. Explore the effect on the graph of varying coefficients.

How to store and calculate using matrices and vectors
How to define and store matrices and vectors, and use them in calculations such as multiplication and vector product.

Draw polar graphs and with variable coefficients
Draw polar graphs, and restrict the graph for r>0. Explore the effect on the graph of varying coefficients.