Invoice Mathematician in Pakistan Islamabad –Free Word Template Download with AI
Professional Mathematician Services
Serving Pakistan Islamabad and Beyond
From (Service Provider)
Dr. Ayesha Khan, Ph.D. in Applied Mathematics
Senior Mathematician & Consultant
Mathematical Sciences Consultancy
Office 42, Blue Area, Jinnah Avenue
Islamabad, Pakistan Islamabad 44000
Email: [email protected]
Phone: +92-51-2345678
NTN: 1234567-8
Bill To (Client)
National University of Sciences & Technology (NUST)
Department of Mathematics
G-5/3, Islamabad
Pakistan Islamabad 44000
Attn: Prof. Muhammad Raza, Head of Department
Email: [email protected]
Phone: +92-51-90920000
NTN: 8765432-1
| # | Description of Mathematician Services | Date | Qty / Hours | Rate (PKR) | Amount (PKR) |
|---|---|---|---|---|---|
| 1 | Advanced Mathematical Modelling & Analysis for Engineering Applications – The Mathematician provided comprehensive differential equation modelling for structural engineering projects in Pakistan Islamabad. | 01 Jun 2025 | 40 hrs | 8,500 | 340,000.00 |
| 2 | Statistical Analysis & Data Interpretation for Research Publication – The Mathematician conducted rigorous hypothesis testing, regression analysis, and Bayesian inference for a peer-reviewed journal submission. | 05 Jun 2025 | 24 hrs | 9,000 | 216,000.00 |
| 3 | Optimization Problem Solving & Algorithm Design – The Mathematician developed and validated optimization algorithms for logistics planning across Pakistan Islamabad metropolitan area. | 08 Jun 2025 | 32 hrs | 8,000 | 256,000.00 |
| 4 | Mathematical Proof Verification & Peer Review – The Mathematician reviewed and verified complex mathematical proofs submitted for the departmental research grant application. | 10 Jun 2025 | 16 hrs | 10,000 | 160,000.00 |
| 5 | Workshop & Training: Advanced Calculus & Linear Algebra for Graduate Students – The Mathematician conducted a two-day intensive workshop at the NUST campus in Pakistan Islamabad. | 12 Jun 2025 | 2 days | 75,000 | 150,000.00 |
| 6 | Mathematical Software Implementation (MATLAB / Python) – The Mathematician implemented and documented computational solutions for numerical methods coursework. | 14 Jun 2025 | 20 hrs | 7,500 | 150,000.00 |
| Subtotal | PKR 1,272,000.00 |
| Discount (5% Academic Rate) | - PKR 63,600.00 |
| Adjustment Subtotal | PKR 1,208,400.00 |
| GST (17% – Pakistan Islamabad) | PKR 205,428.00 |
| Withholding Tax (5% – FBR Pakistan) | PKR 60,420.00 |
| Grand Total Due | PKR 1,353,408.00 |
Invoice Notes & Terms
This Invoice is issued by the undersigned Mathematician in accordance with the professional services agreement dated 01 May 2025 between the parties. All mathematical services rendered were performed in Pakistan Islamabad and are subject to the Federal Taxation Authority (FTA) regulations of Pakistan.
The Mathematician warrants that all mathematical proofs, models, and analyses provided are original work and free from intellectual property infringement. The client acknowledges that the deliverables described in this Invoice constitute confidential information and shall not be redistributed without written consent.
Payment is due within fifteen (15) calendar days from the Invoice date. Late payments shall attract a penalty of 1.5% per month as per the Pakistan Islamabad commercial code. This Invoice is valid for 90 days from the date of issue.
All services were conducted in compliance with the Pakistan Engineering Council (PEC) guidelines for professional mathematical consultancy. The Mathematician holds a valid PEC registration number PEC-2019-4521.
Payment Instructions
Bank: National Bank of Pakistan
Branch: Blue Area, Islamabad
Account Title: Dr. Ayesha Khan
IBAN: PK00 NBPB 0000 1234 5678 9012
SWIFT: NBPBPKKA
Reference: PK-ISB-MATH-2025-0047
Authorized Signatory
___________________________
Dr. Ayesha Khan, Ph.D.
Senior Mathematician & Consultant
Mathematical Sciences Consultancy
Pakistan Islamabad
Date: 15 June 2025
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