Basic Engineering Science Course

Lesson 1 • Physical Quantities and Order of Magnitude

Trains estimation skills and order-of-magnitude reasoning for real engineering contexts. Develops intuition for plausible answers before detailed calculation.

Lesson 2 • Scalars, Vectors, and Coordinate Systems

Distinguishes scalar and vector quantities and introduces Cartesian, polar, and cylindrical frames. Enables correct decomposition of physical quantities in later mechanics topics.

Lesson 3 • Units, Dimensions, and Measurement

Covers SI and derived unit systems, dimensional analysis, and measurement precision. Provides the quantitative language used throughout every subsequent chapter.

Lesson 1 • Equilibrium Conditions in 2D and 3D

Applies the six equilibrium equations to planar and spatial systems. Connects vector decomposition from Chapter 1 to structural force balance.

Lesson 2 • Friction and Support Reactions

Models dry friction at contacts and calculates support reactions for beams and frames. Prepares students for realistic loading scenarios in structural design.

Lesson 3 • Trusses and Structural Members

Analyzes pin-jointed trusses using the method of joints and method of sections. Introduces internal force concepts essential for later stress analysis.

Lesson 4 • Forces, Moments, and Free-Body Diagrams

Introduces force types, moment calculation, and systematic free-body diagram construction. These tools are the entry point for every structural and mechanical analysis.

Lesson 1 • Newton's Laws Applied to Dynamics

Applies Newton's second law to particles and systems under variable forces. Bridges static equilibrium concepts to accelerating systems.

Lesson 2 • Impulse, Momentum, and Collisions

Applies linear and angular impulse-momentum principles to impact and collision problems. Complements energy methods with momentum-based solution strategies.

Lesson 3 • Kinematics and Dynamics of Rigid Bodies

Extends particle dynamics to rotating and translating rigid bodies using mass moment of inertia. Enables analysis of gears, linkages, and rotating machinery.

Lesson 4 • Kinematics of Particles

Describes rectilinear and curvilinear particle motion using position, velocity, and acceleration. Establishes kinematic equations applied in all subsequent dynamics problems.

Lesson 1 • Stress and Strain Fundamentals

Defines normal and shear stress and strain, and introduces Hooke's law for elastic materials. Provides the constitutive framework for all subsequent structural analysis.

Lesson 2 • Torsion in Circular Shafts

Derives shear stress and angle of twist for solid and hollow circular shafts under torque. Connects to power transmission and shaft design applications.

Lesson 3 • Bending of Beams

Develops shear force and bending moment diagrams and the flexure formula for beam stress. Directly applies centroid and moment-of-area results from Chapter 2.

Lesson 4 • Axial Loading and Thermal Effects

Analyzes deformation of bars under axial loads and temperature changes. Introduces statically indeterminate axial problems requiring compatibility equations.

Lesson 1 • Conduction, Convection, and Radiation

Quantifies heat transfer by all three modes using Fourier's law, Newton's law of cooling, and Stefan-Boltzmann law. Enables thermal resistance network analysis.

Lesson 2 • Power and Refrigeration Cycles

Analyzes Rankine, Brayton, and vapor-compression cycles for power and cooling applications. Applies first and second law tools to real thermodynamic cycles.

Lesson 3 • Thermodynamic Systems and Properties

Defines system boundaries, state properties, and thermodynamic processes. Establishes vocabulary and notation used throughout energy analysis.

Lesson 4 • Second Law and Entropy

Introduces entropy, irreversibility, and the Carnot efficiency limit. Provides the theoretical maximum performance benchmark for all thermal machines.

Lesson 1 • Bernoulli Equation and Applications

Derives and applies the Bernoulli equation to flow measurement and pipe networks. Highlights assumptions and limitations for accurate engineering use.

Lesson 2 • Fluid Properties and Hydrostatics

Defines viscosity, density, and surface tension, and analyzes pressure distribution in static fluids. Introduces buoyancy and manometry for pressure measurement.

Lesson 3 • Pipe Flow, Losses, and Pump Systems

Quantifies major and minor losses in pipe networks and matches pump curves to system curves. Integrates Bernoulli and momentum results for complete system design.

Lesson 4 • Momentum Equation for Fluid Systems

Applies the linear momentum equation to control volumes for force analysis on nozzles and bends. Extends Newton's second law to fluid flow problems.

Lesson 1 • DC Circuit Fundamentals

Introduces Ohm's law, Kirchhoff's laws, and resistive network analysis techniques. Provides the analytical foundation for all subsequent circuit topics.

Lesson 2 • Circuit Theorems and Power

Applies Thevenin, Norton, and superposition theorems to simplify complex networks. Calculates power dissipation and maximum power transfer conditions.

Lesson 3 • Capacitors, Inductors, and Transients

Analyzes energy storage in capacitors and inductors and solves first-order RC and RL transient circuits. Introduces time constants and initial/final value methods.

Lesson 4 • Electromagnetism and Electromechanical Devices

Applies Faraday's and Ampere's laws to transformers, motors, and generators. Connects electromagnetic field theory to practical electromechanical energy conversion.

Lesson 1 • Thermal and Fluid System Design

Combines thermodynamic and fluid mechanics principles to design heat exchangers and piping systems. Applies energy and momentum balances to multi-component system layouts.

Lesson 2 • Failure Analysis and Safety Factors

Applies stress, fatigue, and fracture concepts to predict and prevent component failure. Integrates mechanics of materials results into reliability-based design decisions.

Lesson 3 • Capstone Design Project Framework

Guides students through a full design project integrating all eight core chapter competencies. Develops documentation, presentation, and peer-review skills for professional practice.

Lesson 4 • Engineering Design Process

Introduces the iterative design cycle from problem definition through prototyping and testing. Frames all prior technical knowledge within a systematic problem-solving methodology.

Lesson 5 • Electrical System Integration

Integrates power supply, control, and protection elements into complete electrical subsystems. Applies circuit analysis and electromagnetic principles to real system architectures.