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This question provides practice at adding, subtracting, dividing and multiplying complex numbers in rectangular form.

First- and second order recurrence equations, homogenous and nonhomogenous

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No time limit - unlimited regeneration of questions allowed from these groups:

• Notation and Algebra
• Calculus - Differentiation
• Calculus - Integration
• Trigonometry and Matrices

APEP 2022 Entrance Test

1.5 hours with 3 randomised questions from each of these groups:

• Notation and Algebra
• Calculus - Differentiation
• Calculus - Integration
• Trigonometry and Matrices

Putting a pair of linear equations into matrix notation and then solving by finding the inverse of the coefficient matrix. 

Addition and subtraction of matrices; multiplication by scalar.

Simple trig equations with radians

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Algebra Test 1

Homework set.  Trusses solved using the method of sections

Simple truss with a zero-force member

Homework set.  Frame and machine problems.

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This question demonstrates a few ways of interacting with a Venn diagram drawn using JSXGraph.

Homework set.  More frame and machine problems.

Two questions testing the application of the Cosine Rule when given two sides and an angle. In these questions, the triangle is always acute and both of the given side lengths are adjacent to the given angle.

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Music Quiz

Find the forces in the members of a truss using the method of joints.

This just an equilibrium of a particle problem, but posed in context of a joint as a warm-up for the method of joints.

Advice is brief.

Shear and bending moment diagrams involving concentrated moments.

Concept check on sign convention for shear and bending moment diagrams

Homework set.  Find internal shear force, normal force, and bending moment at a designated point in a rigid body.

Find the shear, normal force and bending moment at a point in a beam supporting a uniformly distributed load.