PhD Mathematics Tutor | University & A-Level Maths | Numerical Analysis & Scientific Computing

I am a PhD graduate in Applied Mathematics from Graz University of Technology, Austria, with a specialisation in numerical analysis and computational methods for partial differential equations. My doctoral research focused on developing adaptive least-squares space-time finite element methods for transport equations.
I have several years of university teaching experience, having worked as a Lecturer in Mathematics at Minhaj University Lahore, where I taught undergraduate mathematics courses and coordinated academic activities within the department.
My teaching approach focuses on helping students develop strong conceptual understanding, analytical thinking, and problem-solving skills. I aim to make complex mathematical topics clear and intuitive for students at different levels.
I can teach a wide range of subjects including:
Calculus
Linear Algebra
Differential Equations
Numerical Analysis
Partial Differential Equations
Applied Mathematics
Mathematical Modelling
Scientific Computing (MATLAB, Python)
I also assist students with:
exam preparation
assignments and projects
research guidance in applied mathematics
I am passionate about mathematics education and enjoy helping students build confidence and success in mathematics through clear explanations and structured learning.
Subjects I Teach
School Level
GCSE Mathematics
A-Level Mathematics
Algebra
Trigonometry
University Level
Calculus I, II, III
Linear Algebra
Differential Equations
Partial Differential Equations
Numerical Analysis
Mathematical Modelling
Advanced Topics
Finite Element Methods
Computational Mathematics
Scientific Computing
MATLAB programming for mathematics
Python for numerical computation
What I Help Students With
Exam preparation
Homework and assignments
Understanding difficult concepts
Research guidance in applied mathematics
Mathematical modelling projects
MATLAB and computational mathematics
Teaching Method
My teaching approach includes:
Step-by-step explanations
Concept-based learning
Problem-solving strategies
Real examples and applications
Interactive online sessions
My goal is to help students develop strong mathematical thinking and confidence.