Courseware

Instructed Theory Courses

Course No: ME 261
Course Title: Numerical Analysis
Offered To: Department of Materials Science, BUET (MME)

Course Description:
Taught a 14-week course on Numerical Analysis to 60 undergraduate students in the Department of Materials Science, BUET. The course covered fundamental and advanced topics in numerical methods, focusing on practical applications and problem-solving techniques relevant to materials science.

Lecture Plan:                                                                                                               

• Week 1: Introduction to Numerical Analysis
  Overview of numerical methods, types of errors, and complexity analysis.

• Week 2: Error Analysis and Floating-Point Arithmetic
  Examination of error types, floating-point representation, and numerical stability.

• Week 3: Root-Finding Methods
  Techniques such as Bisection Method, Newton-Raphson Method, and Secant Method.

• Week 4: Interpolation and Approximation
  Polynomial interpolation, Lagrange and Newton interpolation, and spline methods.

• Week 5: Numerical Differentiation
  Methods for approximating derivatives and analyzing associated errors.

• Week 6: Numerical Integration
  Approaches including Trapezoidal Rule, Simpson’s Rule, and Gaussian Quadrature.

• Week 7: Ordinary Differential Equations (ODEs)
  Numerical solutions including Euler's Method and Runge-Kutta Methods.

• Week 8: Partial Differential Equations (PDEs)
  Finite difference methods for PDEs, boundary conditions, and stability.

• Week 9: Linear Algebra in Numerical Analysis
  Matrix operations, Gaussian Elimination, LU Decomposition, and solving linear systems.

• Week 10: Eigenvalue Problems
  Techniques for eigenvalues and eigenvectors: Power Method, QR Algorithm.

• Week 11: Numerical Solutions of Nonlinear Systems
  Methods for solving nonlinear systems, including Newton's Method and fixed-point iteration.

• Week 12: Advanced Topics and Applications
  Exploration of advanced numerical methods and practical applications.

• Week 13: Review and Project Presentations
  Review of key concepts and student project presentations.

• Week 14: Final Review and Exam Preparation
  Comprehensive review and preparation for final exams.

Course No: ME 223
Course Title: Fluid Mechanics and Machinery
Offered To: Department of Industrial Production

Course Description:
Taught a 14-week course on Fluid Mechanics and Machinery to 120 undergraduate students in the Industrial Production Department. The course covered fundamental and advanced topics in fluid mechanics and machinery, with an emphasis on practical applications in industrial contexts.

 Lecture Plan:

• Week 1: Introduction to Fluid Mechanics
  Overview of fluid properties, classifications, and fundamental concepts of fluid statics and dynamics.

• Week 2: Fluid Statics
  Study of pressure, buoyancy, and stability in fluids, including Pascal’s Law and hydrostatic pressure.

• Week 3: Fluid Dynamics Fundamentals
  Introduction to fluid flow principles, continuity equation, and Bernoulli’s equation. Conservation of mass and energy.

• Week 4: Viscosity and Flow Characteristics
  Analysis of fluid viscosity, Newtonian and non-Newtonian fluids, shear stress-strain relationships, and flow types.

• Week 5: Differential Analysis of Fluid Flow
  Application of Navier-Stokes equations, momentum equations, and boundary layer theory.

• Week 6: Dimensional Analysis and Similarity
  Techniques of dimensional analysis, dimensionless numbers (Reynolds number, Froude number), and similarity principles.

• Week 7: Pipe Flow and Pressure Losses
  Analysis of pipe flow, head loss due to friction, major and minor losses, and use of the Darcy-Weisbach equation.

• Week 8: Pumps and Fans
  Fundamentals of pump and fan operation, performance curves, selection criteria, and efficiency.

• Week 9: Turbomachinery
  Principles of turbomachinery including turbines and compressors, energy conversion, and performance metrics.

• Week 10-13: Fluid Machinery Design
  Design principles for fluid machinery, including pumps, turbines, and compressors. Application of theoretical concepts to design problems.

• Week 14: Final Review and Exam Preparation
  Comprehensive review of course material, preparation for the final exam, and discussion of exam format and key topics.

Instructed Laboratory Courses

ME 172: Computer Programming Language Sessional (Offered to Department of ME, BUET.)

ME 204: Engineering Thermodynamics Sessional (Offered to Department of ME, BUET)

ME 262: Numerical Analysis Sessional (Offered to Department of ME, BUET)

ME 350: Mechanics of Machinery Sessional (Offered to Department of ME, BUET.)

ME 306: Heat Transfer Sessional (Offered to Department of ME, BUET.)

ME 366: Electromechanical System Design and Practices (Offered to Department of ME, BUET.)

ME 326: Fluid Mechanics Sessional (Offered to Department of ME, BUET)

ME 310: ThermoFluid System Design (Offered to Department of ME, BUET.)

ME 418: Heat Engines Sessional (Offered to Department of ME, BUET)

ME 420: Power Plant Engineering Sessional (Offered to Department of ME, BUET.)

ME 422: Fluid Machinery Sessional (Offered to Department of ME, BUET.)