VCE Mathematical Methods 1/2
📐Maths is kinda starting to get harder now...
Chapter 1:2 Linear equations
Solving and constructing linear equations
Graphing linear equations
Gradient and finding the equation of a straight line
Distance, midpoint and angle of slope
Simultaneous equations
Linear models
Chapter 1:2 Linear equations
Introduction to the CAS
CAS Techniques: Linear equations
Chapter 4- Gallery of Graphs
Rectangular hyperbolas
Truncus
Square root function
Circles and semi-circles
Chapter 4- Gallery of Graphs
Chapter 5- Functions and relations
Set and interval notation
Functions and relations
Implied Domains
Piecewise functions
Inverse Functions
Chapter 5- Functions and relations
Chapter 6- Polynomials
What is a polynomial?
Cubic factorisations and expansions
Division of polynomials
Factorisation of polynomials
Sketching cubic graphs
Quartics
Chapter 6- Polynomials
Definitions and notation
Multi-stage experiments
Combining events- Venn Diagrams
Karnaugh Maps
Conditional and independent probability
Chapter 9- Probability
Chapter 9- Probability
Chapter 10 and 11- Counting Methods and discrete probability
Counting Methods: Combinations and Permutations
Discrete random variables
Sampling without replacement
Binomial distribution
Chapter 13- Exponentials and logarithms
Index Laws
Solving exponential equations and inequalities
Graphs of exponential functions
Log Laws
Graphs of logarithmic functions
Inverses between exponentials and logs
Exponential growth and decay
Chapter 13- Exponentials and logarithms
Differentiation
Differentiation by first principles
Differentiation formulae
Limits and continuity
Differentiability
Applications of differentiation
Tangents and normals
Stationary points
Rates of change
Absolute and local maximums and minimums
Antidifferentiation and Integration
Antidifferentiation
Finding areas under curves
Properties of the definite integral
Exam Preparation 🧑🎓