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STEP Exam Preparation
Prepare effectively for the STEP exam with AAIS's comprehensive courses covering core mathematical concepts, problem-solving strategies, and exam techniques.
Course syllabus · 15 modules
STEP course syllabus
Tap any module below for its full topic-by-topic breakdown.
Core Mathematical Concepts
- Prime numbers and factorization
- Divisibility and modular arithmetic
- Diophantine equations
- Polynomials and equations
- Inequalities and absolute values
- Functions and their properties
- Euclidean geometry
- Coordinate geometry
- Trigonometry and geometric proofs
- Limits and continuity
- Differentiation and integration
- Applications of calculus
Advanced Topics in Mathematics
- Arithmetic and geometry of complex numbers
- De Moivre's Theorem and applications
- Vector algebra and geometry
- Matrix operations and determinants
- Counting principles
- Permutations, combinations, and Pascal's Triangle
- First and second-order differential equations
- Systems of differential equations
Problem-Solving Techniques
- Direct and indirect proofs
- Proof by contradiction and contrapositive
- Pigeonhole principle
- Extremal principle
- Induction and recursion
- Challenging problems covering multiple topics
- Emphasis on creative problem-solving
Practice Tests and Mock Exams
- Simulated exam conditions
- Detailed solutions and feedback
- In-depth analysis of performance
- Strategies for time management
Exam Techniques and Time Management
- Strategies for optimizing time during the exam
- Prioritizing questions based on difficulty
- Mental preparation and stress management
- Reviewing key concepts and formulas
- Personalized feedback on practice tests
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