Mechanical Engineering Master's Prep

A comprehensive course designed to bridge the gap between undergraduate knowledge and the advanced concepts encountered in a Mechanical Engineering Master's program.

Thermodynamic Fundamentals Review

Unit 1: Zeroth and First Laws of Thermodynamics

Unit 2: First Law of Thermodynamics

Unit 3: Second Law of Thermodynamics

Thermodynamic Cycles: Power Generation

Unit 1: Carnot Cycle Deep Dive

Unit 2: Rankine Cycle Fundamentals

Unit 3: Rankine Cycle Modifications

Unit 4: Power Cycle Calculations

Thermodynamic Cycles: Internal Combustion Engines

Unit 1: Otto Cycle Fundamentals

Unit 2: Diesel Cycle Deep Dive

Unit 3: Otto vs. Diesel

Psychrometrics and HVAC Fundamentals

Unit 1: Psychrometric Principles

Unit 2: The Psychrometric Chart

Unit 3: HVAC Processes

Fluid Properties and Statics

Unit 1: Fluid Properties

Unit 2: Hydrostatics: Pressure and Measurement

Unit 3: Forces on Submerged Surfaces

Unit 4: Buoyancy and Stability

Fluid Dynamics: Conservation Laws

Unit 1: Conservation of Mass

Unit 2: Conservation of Momentum

Unit 3: Conservation of Energy: Bernoulli's Equation

Unit 4: Limitations of Bernoulli's Equation

Internal Flow: Pipes and Channels

Unit 1: Fundamentals of Internal Flow

Unit 2: Pressure Drop and Friction Factors

Unit 3: Pipe Systems and Minor Losses

Introduction to Computational Fluid Dynamics (CFD)

Unit 1: CFD Fundamentals

Unit 2: CFD Software and Setup

Unit 3: CFD Post-Processing and Validation

Stress and Strain Analysis: Axial Loading

Unit 1: Fundamentals of Axial Stress and Strain

Unit 2: Applying Hooke's Law and Axial Deformation

Unit 3: Statically Indeterminate Axial Loading

Unit 4: Thermal Stress

Stress and Strain Analysis: Bending and Torsion

Unit 1: Bending Stress in Beams

Unit 2: Shear Stress in Beams

Unit 3: Beam Deflection

Unit 4: Torsion in Shafts

Failure Theories

Unit 1: Introduction to Failure Theories

Unit 2: Ductile Failure Theories

Unit 3: Brittle Failure Theories

Unit 4: Factor of Safety and Combined Loading

Unit 5: Advanced Topics

Fatigue Analysis

Unit 1: Introduction to Fatigue

Unit 2: Fatigue Life Prediction

Unit 3: Fatigue Design and Prevention

Dynamic Systems: Free Body Diagrams and Equations of Motion

Unit 1: Free Body Diagrams (FBDs)

Unit 2: Applying Newton's Second Law

Unit 3: Solving Equations of Motion

Vibration Theory: Single Degree of Freedom Systems

Unit 1: Fundamentals of Vibration

Unit 2: Damped Vibrations

Unit 3: Forced Vibrations and Resonance

Unit 4: Vibration Isolation

Vibration Theory: Multi-Degree of Freedom Systems

Unit 1: Introduction to Multi-Degree of Freedom Systems

Unit 2: Free Vibration Analysis

Unit 3: Forced Vibration Analysis and Modal Analysis

Control Systems: Feedback Mechanisms

Unit 1: Introduction to Control Systems

Unit 2: Feedback Control System Analysis

Unit 3: Designing Feedback Control Systems

Heat Transfer: Conduction

Unit 1: Fundamentals of Heat Conduction

Unit 2: Steady-State Conduction

Unit 3: Transient Conduction

Heat Transfer: Convection and Radiation

Unit 1: Convection Fundamentals

Unit 2: Natural Convection

Unit 3: Forced Convection

Unit 4: Radiation Heat Transfer

Heat Exchanger Design and Thermal Systems

Unit 1: Heat Exchanger Fundamentals

Unit 2: Effectiveness-NTU Method

Unit 3: Thermal System Optimization

Unit 4: Heat Transfer Enhancement