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VCE Maths Methods Units 1-4: Calculus

Includes differentiation and antidifferentiation (integration)
Aaron Ng
15 students enrolled
English [Auto]
Understand what limits are and evaluate limits [as an introduction to calculus]
Differentiate using first principles
Differentiate the following functions: x^n, e^x, loge(x), sin(x), cos(x), tan(x)
Differentiate using the chain rule, product rule and quotient rule
Calculate the average and instantaneous rate of change of a function
Find the equation of a tangent and normal line
Find the maximum and minimum of a function
Apply the concepts on differentiation on worded problems (including maximum and minimum problems, rate of change problems and motion graphs)
Sketch the derivative and antiderivative of a given graph
Antidifferentiate the following functions: x^n, e^x, 1/x, sin(x), cos(x)
Integrate by recognition
Evaluate definite integrals
Calculate the approximate and exact area beneath a graph and between two graphs
Calculate the average value of a function for a specified domain
Apply the concepts on antidifferentiation on worded problems (including rate of change problems and motion graphs)

After going through this course, you will be able to understand how calculus (differentiation and antidifferentiation/integration) works at an Australian VCE Maths Methods Units 1-4 level, and apply such knowledge on exam questions. Each lecture includes many clearly annotated diagrams to make mathematical concepts easier to understand, and will be followed by a quiz to test your understanding.

The lectures are designed to cater for both unit 1/2 students and unit 3/4 students, with unit 1/2 and unit 3/4 content indicated in the ‘lecture description’ and the beginning of each lecture. Unit 1/2 students only need to watch the unit 1/2 content of each lecture, although you may go on to watch the unit 3/4 content if you want to get a head start. Unit 3/4 students may find the unit 1/2 content a good revision for them.

You are encouraged to go through the lectures in order since the content from the earlier lectures is often required in the later lectures.

You can view and review the lecture materials indefinitely, like an on-demand channel.
Definitely! If you have an internet connection, courses on Udemy are available on any device at any time. If you don't have an internet connection, some instructors also let their students download course lectures. That's up to the instructor though, so make sure you get on their good side!
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4 hours on-demand video
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