Exam Questions – Proof By Counter Example

Algebra

Algebra and Functions

Binary Operations

Calculus

Centre of Mass

Circular Motion

Collisions

Complex Numbers

Conics

Continuous Random Variables

Coordinate Geometry

Correlation and Linear Regression

Differentiation

Discrete and Continuous random variables

Discrete Random Variables

Dynamics

Elastic Strings and Springs

Equlibrium of a rigid body

Estimation and Sampling

First Order Linear Differential Equations

Functions

Geometry

Graph Transformations

Groups

Hyperbolic Functions

Hypothesis Tests

Inequalities

Integration

Kinematics

Length, Area & Volume

Linear combinations of random variables

Logarithmic and Exponential Functions

Logic

Matrix Algebra

Momentum and Impulse

Non-parametric tests

Number

Numerical Solution of Linear Differential Equations

Numerical solutions to equations

Permutations and Combinations

Polar Coordinates and Curves

Prior Knowledge

Probability

Proof by Mathematical Induction

Quadratics

Rational Expressions

Rational functions

Representing Data

Roots of Polynomial Equations

Second Order Linear Differential Equations

Sequences and Series

Series

Sets

Sketching Curves

Statics of a Particle

Statistical Approximations

Statistics

The Normal Distribution

Trigonometry

Vectors

Work, Energy and Power