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This is a Numbas test covering linear programming techniques.

Linear combinations of $2 \times 2$ matrices. Three examples.

A diagram showing the difference between lines, rays and segments in Eukleides.

True/false question type to assess knowledge of the basics of linear correlation and regression.

MECE3930U: Heat Transfer Assignment 5

Please follow the Numbas guidance first if you did not attend the Numbas session.

This assignment is only to allow a maximum of 5 attempts.

Time to complete: unlimited

All answers should be provided without the units, but attention must be paid to the unit instructions in each question. For example, if your answer is 100.3 W/m2K, type 100.3 only.

Important Note: You have to submit your assignment to receive a mark!

MECE3930U: Heat Transfer Assignment 4

Please follow the Numbas guidance first if you did not attend the Numbas session.

This assignment is only to allow a maximum of 5 attempts.

Time to complete: unlimited

All answers should be provided without the units, but attention must be paid to the unit instructions in each question. For example, if your answer is 100.3 W/m2K, type 100.3 only.

Important Note: You have to submit your assignment to receive a mark!

Moving averages, regression and seasonal adjustments.

Conduct a linear regression analysis using a spreadsheet or stats program.

Find a matrix whose associated linear map maps the unit square to the shown parallelogram. Match figures "of linear maps" with matrices.

Compute how many linear maps $\mathbb F_p^n\to \mathbb F_p^m$ exist which take prescribed values on a given set of elements in $\mathbb F_p^n$ (which is linearly dependent).

Find a basis for the intersection of two kernels of linear maps $\mathbb Q^3\to \mathbb Q^3$ and $\mathbb Q^3\to \mathbb Q$.

Straightforward solving linear equations question.

Adapted from 'Simultaneous equations by elimination 1 with parts' by Joshua Boddy.

Solve a system of linear equations using Gaussian elimination.

Straightforward solving linear equations question

Solving a system of three linear equations in 3 unknowns using Gauss Elimination in 4 stages. Solutions are all integral.

Linear combinations of $2 \times 2$ matrices. Three examples.

Linear combinations of $2$ dimensional vectors. 

Linear combinations of $2 \times 2$ matrices. Three examples.

There are copious comments in the definition of the function eqnline about the voodoo needed to have a JSXGraph diagram interact with the input box for a part.

Use two points on a line graph to calculate the gradient and $y$-intercept and hence the equation of the straight line running through both points.

The answer box for the third part plots the function which allows the student to check their answer against the graph before submitting.

This particular example has a negative gradient.

There are copious comments in the definition of the function eqnline about the voodoo needed to have a JSXGraph diagram interact with the input box for a part.

Identifying y=mx+b given two points

An applied example of the use of two points on a graph to develop a straight line function, then use the t estimate and predict. MCQ's are also used to develop student understanding of the uses of gradient and intercepts as well as the limitations of prediction.

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Use two points on a line graph to calculate the gradient and $y$-intercept and hence the equation of the straight line running through both points.

The answer box for the third part plots the function which allows the student to check their answer against the graph before submitting.

This particular example has a positive gradient.

There are copious comments in the definition of the function eqnline about the voodoo needed to have a JSXGraph diagram interact with the input box for a part.