Lecture Notes

Below are the lecture notes that I prepared for ME 305, ME 306, ME 310, ME 413 and ME 582 courses. Even if you are not a student in my class, you can still download and print these notes and study. But you are not allowed to make any changes on them. If you want to suggest a change or want to inform me about a mistake please do so by sending me an email. If you are an instructor and want to use these in your lectures, please first ask for my permission.

Lecture Notes for ME 305 Fluid Mechanics I

Part 0 - First Lecture (PDF)
Part 1 - Fundamental Fluid and Flow Properties (PDF)
Part 2 - Fluid Statics (PDF)
Part 3 - Introduction to Fluid Flow (PDF)
Part 4 - Integral Formulation of Fluid Flow (PDF)
Part 5 - Bernoulli Equation (PDF)
Part 6 - Differential Formulation of Fluid Flow (PDF)
Part 7 - Similitude and Dimensional Analysis (PDF)
Part 8 - Viscous Flow in Pipes and Ducts (PDF)

Lecture Notes for ME 306 Fluid Mechanics II

Part 1 - Irrotational Flow (PDF)
Part 2 - Viscous Flow (PDF)
Part 3 - Turbomachinery (PDF)
Part 4 - Compressible Flow (PDF)

Lecture Notes for ME 310 Numerical Methods

Part 1 - Introduction (PDF)
Part 2 - Finding Roots of Nonlinear Equations (PDF)
Part 3 - Unconstrained 1D Optimization (PDF)
Part 4 - Solution of Linear Algebraic System of Equations (PDF)
Part 5 - Least Squares Regression (PDF)
Part 6 - Polynomial Interpolation (PDF)
Part 7 - Numerical Differentiation (PDF)
Part 8 - Numerical Integration (PDF)
Part 9 - Solution of Ordinary Differential Equations (PDF)

Lecture Notes for ME 413 Introduction to Finite Element Analysis

Chapter 1 - Introduction to Variational Methods (Not available yet)
Chapter 2 - Introduction to FEM (PDF)
Chapter 3 - Computer Implementation of 1D FEM (PDF)
Chapter 4 - Trusses, Beams and Frames (PDF)
Chapter 5 - Two-Dimensional Formulation (PDF)
Chapter 6 - Plane Elasticity Problems (Not available yet)
Chapter 7 - Semi-Discrete Formulation of Time Dependent Problems (Not available yet)

Lecture Notes for ME 582 Finite Element Analysis in Thermofluids

Chapter 1 - Governing Equations of Fluid Flow and Heat Transfer (PDF)
Chapter 2 - Formulation of FEM for One-Dimensional Problems (PDF)
Chapter 3 - Formulation of FEM for Two-Dimensional Problems (PDF)
Chapter 4 - Computer Implementation for 1D and 2D Problems (PDF)
Chapter 5 - Formulation of FEM for Unsteady Problems (PDF)
Chapter 6 - Petrov-Galerkin Formulations for Advection Diffusion Equation (PDF)
Chapter 7 - Incompressible Flow Solutions (PDF)
Chapter 8 - Computer Implementation of 2D, Incompressible N-S Solver (PDF)
Chapter 9 - Least-Squares Finite Element Solution of Compressible Euler Equations (PDF)