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## Dynamic Modeling Exam Review

The exam on dynamic modeling covers fundamental relationships (first principles, physics-based) and data-driven (empirical) approaches. In engineering, there are 4 common balance equations from conservation principles including mass, momentum, energy, and species (see Balance Equations). An alternative to physics-based models is to use input-output data to develop empirical dynamic models such as first-order systems.

- Introduction
- Solve with ODEINT
- Balance Equations
- Linearization
- First Order
- Time Delay
- FOPDT Graphical Fit
- FOPDT Optimization Fit

The following Learning Outcomes are relevant for the material in this section.

**Level 3 (Highest)**

- Students will be able to solve steady-state, overall, material and energy balances for systems which include one or more of the following: recycle, multiple units, chemical reactions.

**Level 2**

- Students will be able to set up and solve simple transient material balances.
- Students will be able to derive batch, CSTR, and PFR performance equations from general material balances.
- Students will be able to write and solve ODE’s that describe the transient behavior of simple lumped-parameter systems.
- Students will be able to fit data from step or pulse tests to approximate linear models.

**Level 1**

- Students will be able to set up and solve transient energy balances