Math Final Revision
Focus on the high-priority topics for the exam.
0% Completed
Basics Review
Units 1 & 2
General Review
Quickly scan through Unit 1 and 2 definitions and basic principles.
Limit & Continuity
Unit 3
Epsilon-Delta Definition
High Priority:
Often worth 3-4 marks. Ensure you understand the formal proof logic.
Techniques for Solving Limits
Practice Squeezing Theorem, Rationalization, and Trigonometric limits.
Derivatives
Unit 4
L'Hôpital's Rule
Master all indeterminate forms (0/0, ∞/∞, etc.).
Inverse & Hyperbolic Functions
Memorize derivatives for inverse functions, hyperbolic functions, and inverse hyperbolic functions.
Higher Order Derivatives
Identify patterns in repeated differentiation (nth derivative).
Applications of Derivatives
Unit 4
Related Rates
Practice:
Do these problems repeatedly until comfortable.
Curve Sketching (Graphing)
Find Horizontal & Vertical Asymptotes. Use 1st and 2nd derivative tests.
Optimization
Solve Minimization and Maximization word problems.
Integration
Unit 5
Core Techniques
Master Substitution (u-sub), Integration by Parts (Product rule reverse), and Trig Substitution.
Complex Combinations
Be ready for questions combining multiple techniques. (Review Begashaw exercises).
Applications of Integration
Calculate Area under the curve and Volume of solids.
Reset Progress