This short small group activity introduces students to the Leibniz notation used for partial derivatives in thermodynamics; unlike standard Leibniz notation, this notation explicitly specifies constant variables. Students are guided in linking the variables from a contextless Leibniz-notation partial derivative to their proper variable categories.
In the middle column below, list each variable in the box connected to the description of the role of the variable.
- If \(a=c^3+7bc-5b^2\), find \[\left(\frac{\partial a}{\partial b}\right)_c\]
- For the same function, find \[\left(\frac{\partial b}{\partial c}\right)_a\]
assignment Homework
Find the differential of each of the following expressions; zap each of the following with \(d\):
\[f=3x-5z^2+2xy\]
\[g=\frac{c^{1/2}b}{a^2}\]
\[h=\sin^2(\omega t)\]
\[j=a^x\]
face Lecture
5 min.
thermodynamics statistical mechanics
This very quick lecture reviews the content taught in Energy and Entropy, and is the first content in Thermal and Statistical Physics.group Small Group Activity
30 min.