Certificate of Professional Achievement in Applied Physics
The Certificate of Professional Achievement in Applied Physics while emphasizing continued work in basic physics,
permits many options in several applied physics specialties.
Students may focus on several applied physics fields such as plasma physics,
laser physics, or solid-state physics.
Required Courses
Students must complete at least 3 of the following 6 courses.
APPH E4100: Quantum Physics of Matter
APPH E4110: Modern Optics
APPH E4112: Laser Physics
APPH E4200: Physics of Fluids
APPH E4300: Applied Electrodynamics
APPH E4301: Introduction to Plasma Physics
Elective Courses
The fourth course may be drawn from the list above or the elective list below.
APMA E4001: Principles of Applied Mathematics
APMA E4101: Introduction to Nonlinear Dynamical Systems
APMA E4200: Partial Differential Equations I
APMA E4300: Numerical Methods
APPH E4090: Nanotechnology
MSAE E4202: Themodynamics and Reactions in Solids
MSAE E4206: Electronic and Magnetic Properties of Solids
MSAE E4215: Mechanical Behavior of Structural Materials
Certificate Program Requirements
· 4 Graduate-level classes all earned through CVN, as a non-degree student. Students
currently in any degree program at Columbia University are not eligible for the Certificate Program through CVN.
· Minimum of 12 credit points
· Minimum GPA of 3.0
· Completion of program within two (2) calendar years.
Credits earned to fulfill the requirements of a Certificate Program may be applied toward an MS or PD degree,
subject to the approval of an Academic Advisor. However, students must apply for admission to the University
and meet all admissions requirements. Entry into, and completion of a Certificate Program does not ensure
acceptance into an MS or PD program.
In order to apply for acceptance into the Certificate Programs, please visit the link below:
Certificate Application and Instructions Page