HarvardX: Energy and Thermodynamics course Syllabus

Full curriculum breakdown — modules, lessons, estimated time, and outcomes.

This course provides a rigorous, mathematically grounded introduction to thermodynamics and energy science, structured into six core modules spanning approximately 12–16 weeks. With a total time commitment of 48–64 hours, learners engage with foundational principles, quantitative modeling, and real-world applications essential for advanced study in chemistry, physics, and engineering. Each module integrates theoretical concepts with problem-solving practice to build deep understanding.

Module 1: Foundations of Energy and the First Law

Estimated time: 12 hours

  • Understand internal energy and heat transfer
  • Explore work and energy conservation principles
  • Apply the First Law of Thermodynamics
  • Solve energy balance equations

Module 2: The Second Law and Entropy

Estimated time: 12 hours

  • Understand entropy and spontaneity
  • Analyze reversible and irreversible processes
  • Apply the Second Law of Thermodynamics
  • Interpret disorder and probability concepts

Module 3: Free Energy and Chemical Equilibrium

Estimated time: 12 hours

  • Understand Gibbs free energy
  • Relate thermodynamics to chemical reactions
  • Explore equilibrium constants
  • Predict reaction spontaneity

Module 4: Applications and Quantitative Modeling

Estimated time: 12 hours

  • Model thermodynamic systems mathematically
  • Analyze heat engines and efficiency
  • Apply thermodynamics to real chemical systems
  • Strengthen analytical problem-solving skills

Module 5: Thermodynamic Systems and Real-World Contexts

Estimated time: 8 hours

  • Examine energy transformation in physical systems
  • Study heat and work in laboratory contexts
  • Analyze equilibrium in chemical systems

Module 6: Final Project

Estimated time: 8 hours

  • Deliverable 1: Quantitative analysis of a thermodynamic cycle
  • Deliverable 2: Prediction of reaction spontaneity using free energy calculations
  • Deliverable 3: Written report interpreting entropy changes in a real-world process

Prerequisites

  • Calculus (differentiation and integration)
  • Basic chemistry (atomic structure, chemical reactions)
  • Familiarity with scientific notation and units

What You'll Be Able to Do After

  • Apply the First and Second Laws of Thermodynamics to physical and chemical systems
  • Calculate changes in internal energy, entropy, and Gibbs free energy
  • Predict the direction and equilibrium of chemical reactions
  • Analyze efficiency in energy conversion systems such as heat engines
  • Solve quantitative thermodynamics problems essential for advanced STEM coursework
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