The Math methods course at Cycloid Academy covers the full depth from Units 1 to 2 and Units 3 to 4 separately. The course instructor "Mundy" is an electrical engineer by profession and a math instructor. Mundy has helped a number of students to gain high ATAR scores and get into Monash University and RMIT University over the past 12 years. Mundy conducts one class every week for students in Units #1, #2 and another class for Units #3 and #4. The topics covered are given below and conform to the VCE 2022 syllabus. Mundy is well known for his strengths in explaining complex concepts in their most fundamental form, He also conducts the classes using our Moodle platform and reviews many sample questions and exam-type questions live using his Doc-Cam setup.
- This course will get you started with Matlab.
- You will learn how to create a script to undertake mathematical calculations.
- You will learn operations with basic arithmetic, vectors, matrices and use of Matlab to create visualisation of data.
- You will also learn the use of conditional statements and the use of functions.
- You will work with the instructor to implement 4 example engineering / mathematical problems for analysis and presentation.
This course is delivered online via the Moodle platform. The classes are recorded and can be accessed later.
Weekly classes (2 hours) – 12 weeks
Wednesday 4:30 to 6:30 – Mathematical Methods Unit #1 and Unit #2
Friday 4:30 to 6:30 – Mathematical Methods Unit #3 and Unit #4
Mathematical Methods Units #1 and #2 is an intermediate level course designed for students who have a solid understanding of Year 10 Mathematics
Mathematical Methods Units #3 and #4 develop and extend the material from Mathematical Methods Units 1 and 2. Students study material in the area of functions and graphs, algebra, calculus and probability and statistics.
- Open for enrolment for the next start dates:
- 15th September 2021 – Mathematical Methods Units #1 and #2
- 17th September 2021 – Mathematical Methods Units #3 and #4
AUD 30 per week (for two hour session – $360 for the total 12 weeks)
Note: The first class is free.
Course Content - Mathematical Methods Units #1 and #2:
- Definitions and properties of functions.
- Graphs of polynomial and power functions, their transformations and inverses.
- Circular functions, their properties and graphs.
- Exponential functions, their properties and graphs.
- Logarithmic functions and their properties and graphs.
- Solution of equations of functions listed below.
- Review of algebraic processes.
- Numeric approximations to solving equations.
- Average and instantaneous rates.
- Gradient of the tangent function.
- Derivative of simple functions including first principles.
- Applications of differentiation, including stationary points, maximum and minimum problems and straight-line motion.
- Anti-differentiation.
- Elementary and compound events and their representations.
- Addition rule, conditional probability and independent events.
- Addition and multiplication principles for counting.
Course Content - Mathematical Methods Units #3 and #4:
- Graphical representation of functions including polynomial, power, circular and exponential and logarithmic functions.
- Graphs of transformations of the above functions.
- Review of polynomial algebra and properties such as symmetry.
- Inverse, composite and sums, differences and products of functions.
- Solution of equations including numeric, graphic and algebraic methods.
- Literal and simultaneous equations.
- Review of the tangent and derivative function.
- Graphs of the derivative and anti-derivative function.
- Derivative and anti-derivatives of polynomial, power, circular and exponential and logarithmic functions.
- The chain, product and quotient rules for differentiation.
- informal treatment of the fundamental theorem of integral calculus.
- Application to curve sketching.
- Calculation of rates of change, equations of tangents, areas beneath and between curves, distance travelled and average function and maximum-minimum problems.
- Discrete and continuous random variables including binomial and normal distributions.
- Means, variance and standard deviation.
- Probability density functions.
- Statistical inference including population parameters and sample statistics.
- Sample proportions and sample proportions as a random variable.
- Confidence intervals.