Miss Aliya Ikram

Helping students master A Level Mathematics through conceptual understanding, advanced problem-solving, and exam-focused preparation.

Miss Aliya Ikram Abeel E School

A Level Mathematics P1 (Pure Mathematics 1) Instructor

Aliya Ikram

My name is Aliya Ikram, and I am an experienced Mathematics lecturer with specialized expertise in A Level Mathematics, Calculus, Algebra, Trigonometry, and Statistics. Throughout my teaching career, I have had the opportunity to work with students from diverse educational backgrounds, allowing me to develop a flexible teaching approach that caters to different learning styles and academic needs.

My teaching philosophy focuses on building strong conceptual understanding, developing effective problem-solving abilities, and strengthening examination techniques. I believe that true mathematical success comes when students not only understand concepts thoroughly but can also apply them confidently in challenging examination scenarios.

Through detailed explanations, carefully worked examples, and extensive past paper practice, I help students develop both competence and confidence in Mathematics. My goal is to ensure that every student is fully prepared to achieve excellent grades while building skills that extend far beyond the classroom.

Course Description

This A Level Mathematics P1 (Pure Mathematics 1) course is designed to provide students with a strong foundation in advanced mathematical concepts while developing analytical thinking and problem-solving skills required for success in Cambridge examinations.

The course covers essential Pure Mathematics topics including Algebra, Coordinate Geometry, Sequences and Series, Binomial Expansion, Trigonometry, Differentiation, Integration, and Numerical Methods. Students will benefit from structured lessons, guided practice, regular assessments, and extensive past paper preparation to maximize examination performance.

What You Will Learn

Algebra
  • Laws of Indices and Surds
  • Quadratic Equations
  • Functions and Graphs
  • Inequalities
  • Simultaneous Equations
  • Straight Line
  • Distance Formula
  • Midpoint Formula
  • Circles
  • Graph Transformations
  • Arithmetic Sequences
  • Geometric Sequences
  • Sigma Notation
  • Applications of Series
  • Positive Integer Powers
  • Binomial Theorem
  • Finding Specific Terms
  • Applications of Binomial Expansion
  • Trigonometric Functions
  • Graphs of Trigonometric Functions
  • Trigonometric Identities
  • Trigonometric Equations
  • Basic Differentiation Rules
  • Product Rule
  • Quotient Rule
  • Chain Rule
  • Applications of Differentiation
  • Indefinite Integration
  • Definite Integration
  • Area Under Curves
  • Applications of Integration
  • Change of Sign Method
  • Iterative Methods
  • Numerical Solutions of Equations
  • Topic-Wise Past Paper Practice
  • Full Past Paper Sessions
  • Examination Strategies
  • Time Management Techniques
  • Mock Examination Preparation

Start Your Learning Journey with Aliya Ikram Today

Join now and develop advanced mathematical skills, master Pure Mathematics concepts, and achieve outstanding results through expert guidance and structured exam preparation.