User Tools

Site Tools


prelim_solns

Differences

This shows you the differences between two versions of the page.

Link to this comparison view

Both sides previous revision Previous revision
Next revision
Previous revision
prelim_solns [2022/05/10 08:13]
gdepaul [Problem Books in Math]
prelim_solns [2023/07/20 03:43] (current)
gdepaul [Solutions to Prelim Exams (Updated 23 September 2021)]
Line 1: Line 1:
-====== Solutions to Prelim Exams (Updated ​23 September 2021) ======+====== Solutions to Prelim Exams (Updated ​20 July 2023) ======
  
 Solutions may not all be correct. If you find something wrong, you're encouraged to send a correct solution, or at least what's wrong and why. Solutions may not all be correct. If you find something wrong, you're encouraged to send a correct solution, or at least what's wrong and why.
 +
 +The department posts previous exams on [[https://​www.math.ucdavis.edu/​grad/​exam-prep|this page]]
 +
  
 ===== Analysis ===== ===== Analysis =====
 Greg DePaul put together [[https://​github.com/​gdepaul/​Prelim-Resources/​blob/​main/​Analysis%20Notes.pdf | these excellent notes]] on the the material covered on the exam Greg DePaul put together [[https://​github.com/​gdepaul/​Prelim-Resources/​blob/​main/​Analysis%20Notes.pdf | these excellent notes]] on the the material covered on the exam
- 
-The department posts previous exams on [[https://​www.math.ucdavis.edu/​grad/​exam-prep|this page]] 
  
 Kyle Chickering has combined many of the previous exams (2009-2019) into {{ :​analysis_prelims_2009_to_2019.pdf |a single file}} Kyle Chickering has combined many of the previous exams (2009-2019) into {{ :​analysis_prelims_2009_to_2019.pdf |a single file}}
Line 29: Line 30:
 Here is a condensed set of notes which should help cover the first two-thirds of the exam, submitted by Greg DePaul: ​ Here is a condensed set of notes which should help cover the first two-thirds of the exam, submitted by Greg DePaul: ​
  
-[[https://​github.com/​gdepaul/​Prelim-Resources/​blob/​main/​Applied%20Prelim%20Study%20Guide.pdf]]+[[https://​github.com/​gdepaul/​Prelim-Resources/​blob/​main/​Applied%20Prelim%20Study%20Guide.pdf ​| Applied Notes]]
  
 Spring 2020 through ~Spring 2015, by Kayden Mimmack, Qianhui Wan, and Jorge Arroyo: Spring 2020 through ~Spring 2015, by Kayden Mimmack, Qianhui Wan, and Jorge Arroyo:
Line 48: Line 49:
 Also Greg DePaul developed a useful tool for visualizing 1D, 2D, and 3D dynamical systems using MATLAB and the SYMS library. You need to have a departmental license installation of MATLAB to run (or your own copy of SYMS): ​ Also Greg DePaul developed a useful tool for visualizing 1D, 2D, and 3D dynamical systems using MATLAB and the SYMS library. You need to have a departmental license installation of MATLAB to run (or your own copy of SYMS): ​
  
-[[https://​github.com/​gdepaul/​Dynamical-Systems-Playdoh]]+[[https://​github.com/​gdepaul/​Dynamical-Systems-Playdoh ​| Dynamical Systems Matlab Code]]
  
 ===== Algebra ===== ===== Algebra =====
Line 54: Line 55:
 We have a list of notes which should help those give an idea as to the content which can be seen on the exam, typed by Greg DePaul: ​ We have a list of notes which should help those give an idea as to the content which can be seen on the exam, typed by Greg DePaul: ​
  
-[[https://​github.com/​gdepaul/​Prelim-Resources/​blob/​main/​250A%20Notes.pdf]] +  * [[https://​github.com/​gdepaul/​Prelim-Resources/​blob/​main/​250A%20Notes.pdf ​| 250A Notes]] 
-[[https://​github.com/​gdepaul/​Prelim-Resources/​blob/​main/​250B%20Notes.pdf]] +  ​* ​[[https://​github.com/​gdepaul/​Prelim-Resources/​blob/​main/​250B%20Notes.pdf ​| 250B Notes]] 
-[[https://​github.com/​gdepaul/​Prelim-Resources/​blob/​main/​250C%20Notes.pdf]]+  ​* ​[[https://​github.com/​gdepaul/​Prelim-Resources/​blob/​main/​250C%20Notes.pdf ​| 250C Notes]]
  
 //Note:// the prelim exam sometimes includes Representation Theory; Homological Algebra is not included in the Algebra Prelim Syllabus //Note:// the prelim exam sometimes includes Representation Theory; Homological Algebra is not included in the Algebra Prelim Syllabus
Line 62: Line 63:
 Matt Litmam, Wencin Poh, and a mysterious El Tigre have also worked together to provide solutions for past Algebra Prelims: ​ Matt Litmam, Wencin Poh, and a mysterious El Tigre have also worked together to provide solutions for past Algebra Prelims: ​
  
-[[https://​github.com/​gdepaul/​Prelim-Resources/​blob/​main/​APS.pdf]]+[[https://​github.com/​gdepaul/​Prelim-Resources/​blob/​main/​APS.pdf ​| Algebra Prelim Solutions]]
  
 ===== Topology ===== ===== Topology =====
Line 73: Line 74:
  
 [[https://​drive.google.com/​drive/​folders/​1HYUoDr6uFiWuCf7kRPCR1TuCb0hXPyxj?​usp=sharing| Problem Books]] [[https://​drive.google.com/​drive/​folders/​1HYUoDr6uFiWuCf7kRPCR1TuCb0hXPyxj?​usp=sharing| Problem Books]]
 +
 +//Note:// you need to be logged into your ucdavis email to access these resources. ​
prelim_solns.1652195583.txt.gz · Last modified: 2022/05/10 08:13 by gdepaul