Engineering Physics Course

Lesson 1 • Complex Numbers and Fourier Analysis

Develops complex number arithmetic and Fourier decomposition of signals. Enables frequency-domain analysis of waves and oscillations.

Lesson 2 • Linear Algebra Essentials

Introduces matrices, determinants, and eigenvalue problems relevant to physics. Supports later work in quantum mechanics and vibration analysis.

Lesson 3 • Calculus Review for Physics

Reviews differentiation and integration with physics-specific applications. Connects mathematical operations to rates of change and accumulated quantities.

Lesson 4 • Differential Equations in Physics

Covers first- and second-order ODEs arising in mechanical and electrical systems. Provides solution techniques used in oscillation and circuit analysis.

Lesson 1 • Work, Energy, and Conservation Laws

Introduces work-energy theorem and conservation of mechanical energy. Enables energy-based problem solving as an alternative to force methods.

Lesson 2 • Lagrangian Mechanics Introduction

Reformulates mechanics using generalized coordinates and the Lagrangian. Simplifies complex constrained systems encountered in engineering.

Lesson 3 • Rotational Dynamics and Rigid Bodies

Extends Newton's laws to rotating systems using torque and moment of inertia. Prepares students for vibration and machine dynamics topics.

Lesson 4 • Momentum and Collisions

Covers linear and angular momentum with impulse-momentum theorem. Analyzes elastic and inelastic collision scenarios.

Lesson 5 • Newton's Laws and Force Analysis

Applies Newton's three laws to particles and systems under various force types. Connects free-body diagrams to equations of motion.

Lesson 1 • Simple Harmonic Motion

Derives and solves the SHM equation for springs and pendulums. Establishes the prototype oscillator model used throughout the chapter.

Lesson 2 • Damped and Driven Oscillations

Introduces damping coefficients and steady-state driven response. Explains resonance and its engineering significance.

Lesson 3 • Superposition, Interference, and Standing Waves

Applies superposition to produce interference patterns and standing waves. Explains resonant modes in strings, pipes, and cavities.

Lesson 4 • Wave Propagation Fundamentals

Derives the wave equation and describes traveling wave solutions. Connects oscillator concepts to spatial wave phenomena.

Lesson 1 • Ideal and Real Gas Behavior

Applies ideal gas law and introduces corrections for real gas interactions. Connects microscopic molecular motion to macroscopic pressure and temperature.

Lesson 2 • Thermodynamic Cycles and Efficiency

Analyzes Carnot, Otto, and Rankine cycles for heat engines and refrigerators. Quantifies efficiency limits imposed by the second law.

Lesson 3 • Temperature, Heat, and Thermal Properties

Defines temperature scales, heat transfer modes, and thermal expansion. Establishes macroscopic thermal concepts before introducing laws.

Lesson 4 • Introduction to Statistical Mechanics

Connects macroscopic thermodynamics to microscopic probability distributions. Introduces partition functions and Boltzmann statistics.

Lesson 1 • Gauss's Law and Electric Potential

Applies Gauss's law to symmetric charge distributions and defines electric potential. Connects field and potential through gradient and line integrals.

Lesson 2 • Capacitance and Dielectrics

Defines capacitance for common geometries and analyzes dielectric effects. Prepares students for energy storage in circuit and device contexts.

Lesson 3 • Electric Charge and Coulomb's Law

Introduces charge quantization, conservation, and the inverse-square force law. Establishes the foundation for all electrostatic field analysis.

Lesson 4 • Magnetic Materials and Boundary Conditions

Classifies diamagnetic, paramagnetic, and ferromagnetic materials. Applies boundary conditions at material interfaces for field continuity.

Lesson 1 • Maxwell's Equations in Integral and Differential Form

Presents all four Maxwell equations and introduces the displacement current. Demonstrates the self-consistent unification of electric and magnetic fields.

Lesson 2 • Electromagnetic Wave Propagation

Derives the wave equation from Maxwell's equations and identifies wave speed. Analyzes plane wave solutions and polarization states.

Lesson 3 • Faraday's Law and Electromagnetic Induction

Derives Faraday's law from changing magnetic flux and applies Lenz's law. Connects induction to transformer and generator operation.

Lesson 4 • Energy and Momentum in EM Fields

Introduces Poynting vector and radiation pressure for energy and momentum transport. Quantifies power flow in waveguides and antennas.

Lesson 1 • Hydrogen Atom and Atomic Structure

Solves the 3D Schrödinger equation for hydrogen and introduces quantum numbers. Provides the basis for understanding atomic spectra and chemical bonding.

Lesson 2 • Quantum Statistics and Solid-State Basics

Applies Fermi-Dirac statistics to electrons in metals and semiconductors. Bridges quantum mechanics to band theory and device physics.

Lesson 3 • Origins of Quantum Theory

Traces historical experiments that revealed failures of classical physics. Motivates the need for a probabilistic wave-based description of matter.

Lesson 4 • Wave Functions and the Schrödinger Equation

Defines the wave function and derives the time-dependent Schrödinger equation. Establishes probability interpretation and normalization requirements.

Lesson 5 • Tunneling and Barrier Phenomena

Analyzes quantum tunneling through potential barriers using transmission coefficients. Connects tunneling to scanning tunneling microscopy and tunnel diodes.

Lesson 1 • Special Relativity Fundamentals

Derives Lorentz transformations and relativistic kinematics from Einstein's postulates. Applies relativistic corrections to particle accelerators and GPS systems.

Lesson 2 • Nanotechnology and Quantum Devices

Examines quantum dots, nanowires, and MEMS from a physics perspective. Evaluates size-dependent properties and fabrication principles.

Lesson 3 • Semiconductor Devices and Physics

Applies band theory to p-n junctions, transistors, and photodetectors. Connects quantum and solid-state physics to practical electronic components.

Lesson 4 • Nuclear Physics and Radioactivity

Describes nuclear structure, binding energy, and radioactive decay modes. Connects nuclear reactions to energy generation and radiation safety.