Rating 4.62 out of 5 (4 ratings in Udemy)
What you'll learn- 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 …
Rating 4.62 out of 5 (4 ratings in Udemy)
What you'll learn- 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)
DescriptionAfter 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.
