Discussion Overview
The discussion centers around recommendations for advanced mathematics classes that would benefit someone pursuing a Master's and PhD in Electrical Engineering, particularly in the field of solid state devices. Participants share their experiences and suggest various mathematical disciplines relevant to the study of solid state physics and devices.
Discussion Character
- Exploratory
- Technical explanation
- Debate/contested
Main Points Raised
- One participant expresses concern about their mathematical background and seeks advice on advanced mathematics courses.
- Another participant suggests studying partial differential equations and modern/quantum physics as beneficial areas.
- A different participant recommends numerical analysis courses, specifically mentioning the importance of complex and real analysis based on their boss's experience in Electrical Engineering.
- There is a discussion about the distinction between numerical analysis and real analysis, with some participants questioning the relevance of real analysis to engineering applications.
- One participant acknowledges the potential application of Fourier series from real analysis but emphasizes the importance of numerical methods, citing their own coursework in numerical ODEs, PDEs, and linear algebra.
- A participant mentions they are currently self-studying PDEs and plans to enroll in a numerical analysis class, recognizing its value in understanding solid state and semiconductor physics.
Areas of Agreement / Disagreement
Participants generally agree on the importance of numerical analysis, but there is disagreement regarding the relevance of real analysis to engineering. The discussion remains unresolved regarding the best mathematical courses to take.
Contextual Notes
Some participants express uncertainty about the applicability of certain mathematical disciplines to engineering, particularly regarding real analysis. There are also varying opinions on the specific content and focus of recommended courses.
