# Equation Sheets

Contents

## Introduction

This repository contains equations that I learned and used in science and engineering courses at the University of Washington. Current 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.

## Chemistry

- CHEM 145 Honors General Chemistry I
- Covered gases, thermodynamics, and equilibrium.
- Taken in Au19 with Professor Joshua Vaughan
- Textbook:
*Principles of Modern Chemistry*7e by Oxtoby et al.

- CHEM 155 Honors General Chemistry II
- Covered acid-base equilibria, solution equilibria, electrochemistry, kinetics, nuclear chemistry, and quantum mechanics and atomic structure.
- Taken in Wi20 with Professor David Ginger
- Textbook:
*Principles of Modern Chemistry*7e by Oxtoby et al.

- CHEM 238 Organic Chemistry II
- Covered alcohol, thiol, ether, sulfide, epoxide, glycol, alkyne, diene, benzene, transition metal catalysis, IR, NMR, UV-Vis spectroscopy, and mass spectrometer.
- Taken in Wi21 with Professor Michael Gelb
- Textbook:
*Organic Chemistry*6e by Loudon et al.

- CHEM 455 Physical Chemistry
- Covered 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, and chemical bonding.
- Taken in Au21 with Professor David Masiello
- Textbook:
*Quantum Chemistry and Spectroscopy*4e by Engel

## Physics

- PHYS 121 Mechanics
- Covered kinematics, dynamics, energy, momentum, rotational kinematics and dynamics, and universal gravitation.
- Taken in Au20
- Required textbook:
*Principles and Practice of Physics*1e by Mazur - Study textbook:
*University Physics with Modern Physics*14e by Young and Freedman

- PHYS 122 Electromagnetism
- Covered electric force, electric field, gauss’s law, electric potential, capacitance, current, magnetic force, magnetic field, electromagnetic induction, maxwell’s equations, DC circuits, AC circuits, special relativity.
- Taken in Wi21
- Required textbook:
*Principles and Practice of Physics*1e by Mazur - Study textbook:
*University Physics with Modern Physics*14e by Young and Freedman

- PHYS 123 Waves
- Covered periodic motion, 1D, 2D, 3D waves, ray optics, wave and particle optics, fluid mechanics, entropy, thermodynamic processes, and degradation of energy.
- Taken in Sp21
- Required textbook:
*Principles and Practice of Physics*1e by Mazur - Study textbook:
*University Physics with Modern Physics*14e by Young and Freedman

## Calculus

- MATH 124 Calculus I
- Covered limits, continuity, derivatives, extreme values, L’Hospital’s rule, intermediate value theorem, mean value theorem, and applications of differentiation.
- Taken Au17 in high school as AP Calculus BC with Mr. Trey
- Textbook:
*Calculus Early Transendentals*8e by Stewart

- MATH 125 Calculus II
- Covered indefinite and definite integrals, fundamental theorem of calculus, u-substitution, integration by parts, integral approximations, trigonometric integrals and substitutions, improper integrals, and applications of integration.
- Taken Sp17 in high school as AP Calculus BC with Mr. Trey
- Textbook:
*Calculus Early Transendentals*8e by Stewart

- MATH 126 Calculus III
- Covered vectors, equation of lines, planes, cylinders, and quadratic surfaces, vector functions, partial derivatives, tangent plane approximation, extreme values, double integrals on Cartesian and polar coordinates, and Taylor series.
- Taken in Wi20 with Professor Ebru Bekyel
- Textbook:
*Calculus Early Transendentals*8e by Stewart

- MATH 324 Calculus IV
- Covered double integral, triple integral, chain rule, directional derivative, gradient vector, line integrals, surface integrals, curl and divergence, Green’s theorem, Stoke’s theorem, and divergence theorem.
- Taken in Wi21 with Kuan-Ting Yeh
- Textbook:
*Calculus Early Transendentals*8e by Stewart

## Applied Mathematics

- AMATH 301 Beginning Scientific Computing
- Covered root-finding, optimization, curve fitting, solving linear systems, singular value decomposition (SVD, PCA), numerical differentiation and integration, solving first-order and higher order ODEs, stability and stiffness of ODEs, phase portraits, chaotic systems, and Fourier transform.
- Taken in Sp20 with Dr. Craig Gin

- AMATH 351 Differential Equations
- Covered first order and second order ODEs with applications in mathematical modeling, stability, and mechanical vibrations. Covers systems of differential equations and Laplace transform.
- Taken in Wi21 with Alanna Gary
- Optional textbook:
*Elementary Differential Equations and Boundary Value Problems*11e by Boyce et al.

## Chemical Engineering

- NME 220 Molecular and Nanoscale Principles
- Covered scaling and transport properties, atomic theory of matter, atomic models, wave functions in quantum mechanics, nanoscience and technology, electronic structures of molecules, and molecular modes and energetic properties.
- Taken in Sp21 with Professor RenĂ© Overney
- Textbook: Custom text

- CHEM E 375 Chemical Engineering Computer Skills
- Covered chemical engineering scientific computing and numerical methods. Topics include curve fitting, balancing chemical equations, solving VLE problems, plotting VLE x/y and Txy diagrams, determining Antoine’s coefficients, chemical kinetics, and time-dependent and -independent heat transfer.
- Taken in Sp21 with Professor Jim Pfaendtner

- CHEM E 310 Material and Energy Balances
- Covered units and process variables, material balances of nonreactive and reactive systems, single- and multi-phase systems, energy balances of nonreactive and reactive systems.
- Taken in Sp21 with Professor Elizabeth Nance
- Textbook:
*Elementary Principles of Chemical Processes*4e by Felder et al.

- CHEM E 325 Energy and Entropy
- Covered thermodynamic data, molecular interactions and equations of state, first and second law analysis, process efficiency, and single and multi-component equilibrium.
- Taken Au21 with Professor David Bergsman
- Optional textbook:
*Engineering and Chemical Thermodynamics*2e by Koretsky

- CHEM E 330 Transport Processes I
- Covered basic transport: rate laws, transport coefficients, shell balance method, and generalization to 3D. Covered fluid mechanics: Navier-Stokes equation, top-down method, turbulence, dynamic similarity, dimensional analysis, Bernoulli analysis, and microfluidics.
- Taken Au21 with Professor John Berg
- Optional textbook:
*Transport Phenomena*Revised 2e by Bird et al.

- CHEM E 326 Chemical Engineering Thermodynamics
- In progress Wi22 with Professor RenĂ© Overney
- Textbook:
*Engineering and Chemical Thermodynamics*2e by Koretsky

- CHEM E 340 Transport Process II
- In progress Wi22 with Professor David Bergsman
- Optional textbook:
*Fundamentals of Heat and Mass Transfer*8e by Bergman et al.