Math Methods syllabus, dot point by dot point
Every dot point in the TAS Math Methods course document, in syllabus order, with a focused answer for each. Open any dot point for the answer, exam-style questions and links to related points.
Unit 3
Section overview →How do calculus operations connect position, velocity and acceleration in straight-line motion?
How do we describe a discrete random variable and when does the binomial distribution apply?
How do exponential and logarithmic functions behave, and how do we differentiate and apply them?
How do we differentiate products, quotients and composites, and use the result to optimise and sketch?
What does the second derivative tell us about the shape of a graph?
How do we differentiate sine, cosine and tangent, and combine them with the chain, product and quotient rules?
Unit 4
Section overview →How does a sample proportion vary from sample to sample, and what distribution does it follow?
How do we reverse the derivatives of exponential and trigonometric functions to find their antiderivatives?
How do we estimate a definite integral when we cannot find an antiderivative?
How do we find the area enclosed between two curves rather than under a single curve?
How do we describe continuous random variables and work with the normal distribution?
How do we estimate a population proportion from a sample and express the uncertainty?
What is integration, how is it the reverse of differentiation, and how do we find areas?