Umar F.

Ph.D. Mathematician | MATLAB, Python, Statistics & Data Analysis I am Umar Farooq, a Ph.D. holder in Applied Mathematics with over 5 years of teaching and research experience at college and university levels. I specialize in mathematical modeling, numerical simulations, statistical analysis, scientific computing, and data visualization. I help researchers, students, businesses, and professionals solve complex mathematical and computational problems by delivering accurate, well-structured, and reliable solutions. My Areas of Expertise 1. Mathematics & Applied Mathematics - Calculus, Multivariable Calculus, and Linear Algebra - Differential Equations (ODEs and PDEs) - Numerical Analysis and Computational Mathematics - Complex Analysis, Real Analysis, and Abstract Algebra - Discrete Mathematics, Graph Theory, and Topology - Mathematical Modeling and Optimization - Probability, Statistics, and Business Mathematics 2. Programming & Scientific Computing - MATLAB: Numerical simulations, mathematical modeling, and data visualization - Python: NumPy, SciPy, Pandas, Matplotlib, and computational analysis - C++: Numerical algorithms and scientific programming - Computational Fluid Dynamics (CFD) and heat transfer simulations - Numerical solution of complex engineering problems 3. Statistics & Data Analysis - SPSS: Statistical analysis, data cleaning, and visualization - Excel: Data cleaning, advanced formulas, PivotTables, and dashboards - Statistical modeling, regression, and hypothesis testing - Data preprocessing, interpretation, and professional reporting - Business, financial, and accounting-related data analysis 4. Engineering & Research Support - Fluid Mechanics and Heat Transfer - Computational Modeling and Numerical Methods - Mechanical Engineering and Applied Physics - Research Data Analysis and Scientific Visualization - Technical Reports and Research Documentation 5. Creative & Visual Design - Scientific illustrations and technical diagrams - Graphs, charts, and research visualizations - Hand-drawn and digital illustrations - Customized visual presentations Why Work With Me? I combine strong academic knowledge with practical computational skills to deliver solutions tailored to your project requirements. - Ph.D.-level mathematical and analytical expertise - Over 5 years of academic teaching and research experience - Attention to accuracy, clarity, and technical quality - Professional communication and timely delivery - Customized solutions with clear documentation - Commitment to client satisfaction and confidentiality Whether you need mathematical modeling, MATLAB or Python programming, statistical analysis, Excel data cleaning, scientific simulations, or professional visualizations, I am ready to contribute to your project. Let's discuss your requirements and develop a reliable, high-quality solution together.