146A 

Office hours: See syllabus. For syllabus please refer to eLearn page under modules.

Email: nchie005@ucr.edu

Please feel free to contact me for any reason.

Color coding of notes:

• Black - Theorems, Lemmas, Context, Writing in General

• Grey - Reserved for proofs 

• Green - Definitions

• Red - Examples, Exercises

• Blue - Remarks, Clarification, Justification

Class notes will be continuously updated: Notes (last update: 6.23)

The class material is based off of notes provided by Prof. Zhenghe Zhang. 

Week 1 

• Day 1 (June 22)

  • 1. Introduced definition of differential equations and natural questions that arise: motion of fluids, quantum particles, solar systems, etc. 

    2. Introduced Theorem 7.1.1, which is a uniqueness and existence theorem. 

    3. Answered why continuity of f is necessary. In particular, we construct an example of a discontinuous f that leads to no solution to an IVP.

• Day 2 (June 23)

  • 1. Answered why continuity of partial_y(f) is necessary.

    2. Answered why h was necessary in Theorem 7.1.1.

    3. Provided an application of Theorem 7.1.1.

• Day 3 (June 24)

  • Discussion section

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  • Lecture

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