STEP ExamPreparation
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Core Mathematical Concepts
Number Theory
Prime numbers and factorization
Divisibility and modular arithmetic
Diophantine equations
Algebra
Polynomials and equations
Inequalities and absolute values
Functions and their properties
Geometry
Euclidean geometry
Coordinate geometry
Trigonometry and geometric proofs
Calculus
Limits and continuity
Differentiation and integration
Applications of calculus
Advanced Topics in Mathematics
Complex Numbers
Arithmetic and geometry of complex numbers
De Moivre's Theorem and applications
Vectors and Matrices
Vector algebra and geometry
Matrix operations and determinants
Combinatorics
Counting principles
Permutations, combinations, and Pascal's Triangle
Differential Equations
First and second-order differential equations
Systems of differential equations
Problem-Solving Techniques
Proof Techniques
Direct and indirect proofs
Proof by contradiction and contrapositive
Problem-Solving Strategies
Pigeonhole principle
Extremal principle
Induction and recursion
Advanced Problem Sets
Challenging problems covering multiple topics
Emphasis on creative problem-solving
Practice Tests and Mock Exams
Full-Length Practice Tests
Simulated exam conditions
Detailed solutions and feedback
Mock Exams with Review Sessions
In-depth analysis of performance
Strategies for time management
Exam Techniques and Time Management
Effective Time Allocation
Strategies for optimizing time during the exam
Prioritizing questions based on difficulty
Exam-Day Preparation
Mental preparation and stress management
Reviewing key concepts and formulas
Personalized feedback on practice tests