CAPE Applied Mathematics Unit 2
Apply discrete mathematics, probability, distributions and mechanics to optimisation and real-world problem-solving.
Mathematics for decisions, systems and motion
Unit 2 connects mathematical techniques to allocation, networks, uncertainty and mechanics, with strong emphasis on modelling and interpretation.
Learn, practise and improve
Students receive structured teaching and digital support throughout the programme.
Free CAPE Applied Mathematics Unit 2 Video Course
Study all 18 lessons in order. Open a module and select each separate video lesson.
Operations Research & Decision MathematicsLessons 1–7+
CAPE Unit 2 Applied Mathematics – Hungarian Algorithm I
CAPE Unit 2 Applied Mathematics – Hungarian Algorithm II
CAPE Unit 2 Applied Mathematics – Linear Programming
CAPE Unit 2 Applied – Logic and Boolean Algebra I
CAPE Unit 2 Applied Mathematics – Logic and Boolean Algebra II
CAPE Unit 2 Applied Mathematics – Critical Path Analysis
CAPE Unit 2 Applied Mathematics – Graph Theory
Probability & DistributionsLessons 8–12+
CAPE Unit 2 Applied Mathematics – Arrangements
CAPE Unit 2 Applied Mathematics – Permutations and Combinations
CAPE Unit 2 Applied Mathematics – Discrete Random Variables
CAPE Unit 2 Applied Mathematics – Continuous Random Variables
CAPE Unit 2 Applied Mathematics – Chi-Squared Goodness of Fit Test
Statics, Kinematics & DynamicsLessons 13–18+
CAPE Unit 2 Applied Mathematics – Coplanar Forces
CAPE Unit 2 Applied Mathematics – Equilibrium I
CAPE Unit 2 Applied Mathematics – Equilibrium II
CAPE Unit 2 Applied Mathematics – Lami’s Theorem and Friction
CAPE Unit 2 Applied Mathematics – Kinematics and Dynamics I
CAPE Unit 2 Applied Mathematics – Kinematics and Dynamics II
The lessons follow the order of the official ARETE YouTube playlist.
View original playlist ↗What students will study
Topics are grouped into clear modules so students can build understanding progressively.
Discrete Mathematics
- Linear programming
- Assignment models
- Graph theory and critical paths
- Logic and Boolean algebra
Probability & Distributions
- Counting and probability
- Discrete random variables
- Continuous random variables
- Normal approximations and chi-squared tests
Particle Mechanics
- Forces and equilibrium
- Friction and connected particles
- Kinematics and dynamics
- Work, energy and momentum
Support from lesson to examination
Diagnostic support
Identify weak areas and set clear learning priorities.
Exam practice
Develop method, accuracy, timing and question selection.
ARETE+ access
Review notes, quizzes and learning materials from any device.
Guidance
Get feedback and help with difficult concepts and calculations.
Ready to begin Applied Mathematics Unit 2?
Apply online or message the office to confirm the current timetable and available spaces.