MUHAMMAD RAFIQUE Ph.D ( Mathematics and statistics)
3 Reviews

Dr. Muhammad Rafique

Mathematics & Statistics Specialist:

“Mathematics is not merely about formulas and computations — it is about understanding patterns, logic, and structure.”
With more than fifteen years of teaching experience and a PhD in Mathematics, I have dedicated my career to guiding students toward a strong and lasting understanding of Mathematics and Statistics. I focus on building clear concepts and logical foundations so that students do not merely prepare for examinations, but truly understand the subject. My aim is not only to help improve academic performance, but also to develop analytical thinking, confidence, and the ability to approach problems independently and thoughtfully.

My Teaching Philosophy:

I believe that strong foundations lead to long-term success. My approach emphasizes:
1. Building clear and structured conceptual understanding
2. Developing step-by-step logical reasoning
3. Strengthening problem-solving strategies for examinations
4. Encouraging critical and analytical thinking
5. I adapt my teaching style according to each student’s academic level and learning pace.

What Students Gain in my Lecture:
1. Clear understanding of complex mathematical concepts
2. Effective exam-oriented techniques
3. Improved accuracy in MCQs and structured questions
4. Confidence in tackling challenging problems
5. Well-organized notes and guided practice

My Academic & Professional Background:

1. I hold PhD degree in Mathematics
2. I have research experience in advanced areas of mathematical theory and have published research papers in the field of analysis in reputable academic journals.
3. I have extensive experience teaching international curricula (Cambridge, US syllabus, and university level)
4. I have experience preparing students for competitive mathematics examinations (IMO, RMO).

If you are seeking structured guidance, conceptual clarity, and disciplined preparation in Mathematics or Statistics, I would be pleased to assist you in achieving your academic goals. Furthermore, to help you better understand my teaching methodology and how I can support your learning, a demo class can be arranged upon request.

Subjects

  • Mathematical Olympiad Beginner-Expert

  • AP Statistics

  • AP Calculus AB and BC

  • Abstract Algebra Beginner-Expert

  • Functional Analysis Beginner-Expert

  • Pure and Applied Mathematics (Basic and Advanced) Beginner-Expert

  • Mathematics and Statistics Expert

  • Mathematical Methods Beginner-Expert

  • O Level Mathematics

  • Statistics A Level

  • Mathematical Analysis Beginner-Expert

  • Mathematics (Algebra) Intermediate-Expert

  • Mathematics (A level)

  • Mathematics (Secondary) Grade 11-Grade 12

  • Algebraic Number Theory Beginner-Expert

  • Mathematics (CBSE) Beginner-Expert

  • Mathematics (Cambridge syllabus) Beginner-Expert

  • Topology (General and Algebraic) Beginner-Expert

  • A level Statistics

  • Analytical Number Theory Beginner-Expert

Experience

  • Lecturer (Aug, 2022–Present) at Punjab group of colleges, Rawalpindi
    Teaching Mathematics
  • Lecturer (Jan, 2017–Present) at Online Teaching to O and A level students
  • Lecturer in mathematics (Jun, 2013–Present) at Pgc rawalpindi, Cadet college jajja and kips college Rawalpindi.
    Lecturer in mathematics.

Education

  • Ph.D (Aug, 2017–Oct, 2023) from Comsats University Islamabad campus

Fee details

    Rs3,000–10,000/hour (US$10.77–35.90/hour)

    Fee depends on the Class or Grade and Travelling.

Courses offered

  • Group Theory

    • US$10
    • Duration: 2 Months
    • Delivery mode: Flexible as per the student
    • Group size: 5
    • Instruction language: English
    • Certificate provided: No
    I have good experience in teaching group Theory, I can teach it with real life related examples and approaches.

  • Theory of numbers

    • US$10
    • Duration: 2 Months
    • Delivery mode: Online
    • Group size: Individual
    • Instruction language: English
    • Certificate provided: No
    This is the fundamental course for pure mathematics, it is very interesting and important for those who aim to have good research in Pure mathematics

3 Reviews
5 out of 5

User Photo February 19, 2026
Payment verified US$ 1.98 (100 Coins)

An Outstanding Mathematics Educator Who Truly Builds Understanding

Dr Muhammad Rafique is an exceptional mathematics teacher who has had a profound impact on my learning in both Specialist Mathematics and Mathematical Methods. His teaching goes far beyond simply showing students how to get answers. He focuses on making sure you genuinely understand why each step is taken and how concepts connect across the syllabus.

Dr Rafique teaches with incredible clarity and structure. He carefully works through the syllabus in full, ensuring no topic is rushed or skipped, and explains even the most complex ideas in a way that makes them approachable. Concepts that initially felt overwhelming became clear because he broke them down step by step, always linking theory to worked examples. Every example was purposeful and designed to deepen understanding rather than encourage rote memorisation.

I highly recommend Dr Muhammad Rafique to any student seeking not only academic excellence in mathematics, but a deep and lasting understanding of the subject. Thank you!

User Photo June 1, 2025
Payment verified US$ 1 (50 Coins)

A dedicated and passionate lecturer

Rafique taught my son for the University of London program, two subjects Introduction to mathematical statistics and Mathematics. My son found him to be very approachable. I have seen that he takes all the classes seriously and is very helpful. He was a real blessing for us.

User Photo April 16, 2025
Payment verified US$ 1 (50 Coins)

Excellent Math Teacher

We live in Australia, and my daughter is currently in Year 10. In our search for a math tutor to teach her Cambridge Math (Advanced) online, we explored several options and ultimately chose Dr. Muhammad Rafique.

Dr. Rafique possesses a PhD in mathematics, which truly reflects his deep expertise and understanding of the subject. What sets him apart is his ability to assess each student's unique challenges and adapt his teaching methods accordingly. His interactive style captivates students, ensuring they remain engaged throughout each session. Furthermore, Dr. Rafique is incredibly flexible with class schedules, which has made our experience seamless. He even offers makeup classes for any missed sessions, a level of commitment that is rare among tutors.

In addition to his teaching, Dr. Rafique provides invaluable support outside of class. When my daughter encounters difficulties with assignments or concepts, he is readily available through chat or email, which is a tremendous advantage that most tutors do not offer.

I see him not just as a tutor, but as a passionate educator who is genuinely invested in his students' success. Before my daughter's exams, he went above and beyond to prepare her and instill confidence, resulting in her achieving an impressive A grade in her first semester.

We are extremely satisfied with Dr. Rafique's tutoring and wholeheartedly recommend him to any student seeking to excel in math.

© 2016 - 2026 TeacherOn. All rights reserved