# Equation Sheets

Contents

GitHub

## 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.

If you like this resource, feel free to star, watch, or fork.

If you find any mistakes, please feel free to raise an issue.

## 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