Mathematics & Engineering
Intermediate

Thermodynamics & Statistical Mechanics (University)

Upon completion, learners will be able to derive macroscopic thermodynamic laws from microscopic quantum states using various ensembles, solve complex equilibri

Thermodynamics & Statistical Mechanics (University). This course is designed for upper-level undergraduate physics or chemistry majors and beginning graduate students seeking a mathematically rigorous foundation in thermal physics and many-body systems. Upon completion, learners will be able to derive macroscopic thermodynamic laws from microscopic quantum states using various ensembles, solve complex equilibrium problems, and apply quantum statistics to ideal gases and condensed matter. This course is independent preparation and is not affiliated with or endorsed by the independent university-level study (not affiliated with any university); check the official site for current test formats and dates. Every lesson includes tutor notes, a practical lab, worked exercises and a 12-question quiz you must pass at 80%, followed by a pooled final exam and free and paid practice tests.

150h Certificate available

Curriculum

One complete track with its own final exam and certificate.

10 modules mapped to the official examination areas, from foundations to final mocks.

Course Foundation and Mathematical Preliminaries. Practice activity: Derive the Stirling approximation and verify its accuracy for N=10, 100, and 1000 using a computational tool or calculator..

  • 1.1 Syllabus Overview and the Role of Statistical Mechanics in Physics Lab90 min
  • 1.2 Prerequisite Review: Multivariable Calculus and Partial Derivatives Lab90 min
  • 1.3 Probability Theory and Large Numbers: The Central Limit Theorem Lab90 min
  • 1.4 Classical Mechanics in Phase Space: Liouville's Theorem Lab90 min
  • 1.5 Study Plan: Bridging the Gap Between Micro and Macro Scales Lab90 min

Careers this prepares you for

    How you study

    Every lesson pairs an in-depth video with written notes, key takeaways, a hands-on lab, exercises and a quiz. Work at your own pace, then sit the final examination for your Erudex certificate.