This repository contains equations that I learned, used, and/or taught in science and engineering courses at the University of Washington (UW, undergraduate) and University of California, Berkeley (UCB, graduate). Topics include calculus, applied mathematics, chemistry, physics, and chemical engineering.
You can download pdf of the equation sheets in this repository or view them online. The online version is most up-to-date, and it's also configured to be printable. You may also find the course notes helpful.
If you like this resource, feel free to star, watch, or fork.
If you find any mistake, please feel free to raise an issue.
| Course | Online | Topics and Description | Status | ||
|---|---|---|---|---|---|
| UW | CHEM 145 Honors General Chemistry I |
html | Physical chemistry - gas, thermodynamics, equilibrium | ✅ | |
| UW | CHEM 155 Honors General Chemistry II |
html | Physical chemistry - acid-base equilibria, solution equilibria, electrochemistry, kinetics, nuclear chemistry, quantum mechanics and atomic structure | ✅ | |
| UW | CHEM 238 Organic Chemistry II |
html | Organic chemistry - alcohol, thiol, ether, sulfide, epoxide, glycol, alkyne, diene, benzene, transition metal catalysis, characterization techniques | ✅ | |
| UW | CHEM 455 Physical Chemistry | html | Quantum mechanics - postulates, particle in a box, finite potential well, barrier scattering, commutator, dimer model, vibrational and rotational spectroscopy, hydrogen atom, spin, many e- atoms, Hartree-Fock orbitals, chemical bonding | ✅ |
| Course | Online | Topics and Description | Status | ||
|---|---|---|---|---|---|
| UW | PHYS 121 Mechanics |
html | Mechanics - kinematics, dynamics, energy, momentum, rotational kinematics and dynamics, universal gravitation | ✅ | |
| UW | PHYS 122 Electromagnetism |
html | Electromagnetism - electrostatics, Gauss's law, electric potential, capacitance, magnetic field, induction, Maxwell's equations DC and AC circuits, special relativity | ✅ | |
| UW | PHYS 123 Waves |
html | Waves - periodic motion, 1D, 2D, 3D waves, ray optics, wave and particle optics, fluid mechanics, entropy, thermodynamic processes, degradation of energy | ✅ |
| Course | Online | Topics and Description | Status | ||
|---|---|---|---|---|---|
| UW | MATH 124 Calculus with Analytic Geometry I |
html | Differential calculus - limits, continuity, derivatives, applications of differentiation | ✅ | |
| UW | MATH 125 Calculus with Analytic Geometry II |
html | Integral calculus - indefinite and definite integrals, fundamental theorem of calculus, u-substitution, integration by parts, techniques and applications of integration | ✅ | |
| UW | MATH 126 Calculus with Analytic Geometry III |
html | Multivariable calculus and 3D geometry - vectors, equation of lines, planes, cylinders, and quadratic surfaces, vector functions, partial derivatives, double integrals, Taylor series | ✅ | |
| UW | MATH 324 Advanced Multivariable Calculus I |
html | Multivariable and vector calculus - double integrals, triple integrals, chain rule, gradient vector, line integrals, surface integrals, Green's theorem, Stoke's theorem, divergence theorem | ✅ |
| Course | Online | Topics and Description | Status | ||
|---|---|---|---|---|---|
| UW | AMATH 301 Beginning Scientific Computing |
Jupyter Notebooks | html | Scientific computing - root finding, solving linear systems with direct and iterative methods, optimization, curve fitting, SVD, numerical differentiation and integration, solving systems of ODEs | ✅ |
| UW | AMATH 351 Intro to Differential Equations and Applications |
html | Ordinary differential equations - 1st, 2nd order ODE with applications, systems of ODEs, Laplace transform | ✅ |
| Course | Online | Topics and Description | Status | ||
|---|---|---|---|---|---|
| UW | CHEM E 310 Mass and Energy Balances |
html | Material and energy balances - units and process variables, material and energy balances of nonreactive and reactive processes, single- and multi-phase systems | ✅ | |
| UW | CHEM E 375 Chemical Engineering Computer Skills |
Jupyter Notebooks | html | ChemE scientific computing - curve fitting, solving linear, nonlinear systems, control flow, solving systems of ODEs, time-independent and -dependent PDEs | ✅ |
| UCB | CHM ENG 130 Mathematics and Statistics in Chemical Engineering |
[pdf] | html | Engineering mathematics | In Progress Au23 ⛏️ |
| Course | Online | Topics and Description | Status | ||
|---|---|---|---|---|---|
| UW | CHEM E 325 Energy and Entropy |
html | Thermodynamics I - thermodynamic data, molecular interactions and equations of state, first and second law analysis, process efficiency, single and multi-component equilibrium | ✅ | |
| UW | CHEM E 326 Chemical Engineering Thermodynamics |
html | Thermodynamics II - thermodynamic relations, single- and multi-component phase equilibrium, fugacity-based equilibrium, phase equilibrium applications, chemical equilibrium | ✅ | |
| UW | CHEM E 457 Principles of Molecular Engineering |
html | Statistical mechanics - probability, entropy, Boltzmann's law, ensembles, chemical and physical equilibrium, solvation and phase transfer, phase transitions | ✅ | |
| UCB | CHM ENG 240 Thermodynamics for Chemical Product and Process Design |
[pdf] | html | Thermodynamics | In Progress Au23 ⛏️ |
| Course | Online | Topics and Description | Status | ||
|---|---|---|---|---|---|
| UW | CHEM E 330 Transport Process I |
html | Transport fundamentals - rate laws, transport coefficients, shell balance method, generalization to 3D Fluid mechanics - Navier-Stokes equation, top-down method, turbulence, dynamic similarity, dimensional analysis, Bernoulli analysis, microfluidics |
✅ | |
| UW | CHEM E 340 Transport Process II |
[pdf] | [html] | Heat transfer - 1D conduction, 2D conduction, transient heat conduction, convection, boiling and condensation, heat exchangers, radiation | Wi22 completed ⛏️ |
| UW | CHEM E 435 Transport Process III |
html | Separation process and mass transfer - mass transfer and diffusion, single equilibrium stages, multistage cascades, absorption and stripping, distillation, membrane separations | ✅ | |
| UCB | CHM ENG 250 Transport Processes |
[pdf] | html | Transport processes | In Progress Au23 ⛏️ |
| Course | Online | Topics and Description | Status | ||
|---|---|---|---|---|---|
| UW | CHEM E 465 Reactor Design |
html | Chemical reaction engineering - rate law, reactor design and sizing, stoichiometry, isothermal reactor design, rate law determination, multiple reactions, enzymatic reactions, catalytic reactions | ✅ | |
| UW | CHEM E 467 Biochemical Engineering |
html | Biochemical engineering - enzyme kinetics, enzymatic inhibitions, cell growth kinetics, cell reaction stoichiometry | ✅ | |
| UCB | CHM ENG 244 Kinetics and Reaction Engineering |
[pdf] | html | Chemical reaction engineering | In Progress Au23 ⛏️ |
| Course | Online | Topics and Description | Status | ||
|---|---|---|---|---|---|
| UW | CHEM E 480 Process Dynamics and Control |
[pdf] | [html] | Process dynamics and control | Wi23 completed ⛏️ |
| UW | CHEM E 485 Process Design I |
- | html | Process design | ✅ |
| Course | Online | Topics and Description | Status | ||
|---|---|---|---|---|---|
| UW | NME 220 Intro to Molecular and Nanoscale Principles |
html | Molecular and nanoscale principles - scaling and transport properties, atomic theory and models, wave function in quantum mechanics, nanoscience and technology, electronic structures of molecules, molecular modes | ✅ |