How difficult does this schedule sound?

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Discussion Overview

The discussion revolves around the difficulty of a proposed 3rd semester schedule that includes courses in Differential Geometry, Real Analysis, Advanced Linear Algebra, Symbolic Logic, and Intro Programming. Participants share their perspectives on the workload and proof-heavy nature of the courses, particularly focusing on the challenges posed by the texts used.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant presents a schedule that includes advanced mathematics and programming courses, indicating some prior experience with proofs.
  • Another participant suggests that the schedule looks good but warns that Real Analysis, particularly using Rudin, will require significant effort.
  • A participant questions the proof-heavy nature of Differential Geometry at the level of Kreyszig, seeking insights on its difficulty.
  • A later reply expresses uncertainty about Kreyszig's approach but suggests that if it aligns with his functional analysis work, the course may not be too challenging, implying that Differential Geometry should not be a major concern.

Areas of Agreement / Disagreement

Participants express differing views on the expected difficulty of the courses, particularly regarding the proof-heavy nature of Differential Geometry and Real Analysis. No consensus is reached on the overall challenge of the schedule.

Contextual Notes

Participants do not provide specific details on the assumptions regarding their prior knowledge or the exact nature of the courses, leaving some aspects of the discussion open to interpretation.

inknit
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3rd Semester Schedule

Introduction to Differential Geometry
Introduction to Real Analysis - using Rudin
Advanced Linear Algebra
Symbolic Logic (philosophy course)
Intro Programming (Java)

I have some experience with proofs in LA, read up on basic techniques of proof over summer (contradiction, induction, direct, functions,)
 
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This sounds like a good schedule to me. Be prepared to work hard for Rudin though, even if you're acquainted with proofs.
 
^I certainly will. Do you know how proof heavy Diff. Geo will be at the level of Kreyszig?
 
inknit said:
^I certainly will. Do you know how proof heavy Diff. Geo will be at the level of Kreyszig?

I've never looked into Kreyszig :frown: But if it's anything like his superb functional analysis book, then it won't be too hard. Differential geometry shouldn't be any of your worries...
 

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