AMATH 391Data Analysis with Fourier and Wavelet Methods
- Units
- 0.50
- Faculty
- Mathematics
- Subject
- Applied Mathematics
When it runs
- F24
- W25
- S25
- F25
- W26
- S26
- F26
- W27
- S27
Ran in 1 of the last 7 terms. Winter 2027: not on the schedule. Spring 2027: schedule not out yet.
Fourier and wavelet methods are fundamental tools in data analysis ranging from time-series data to image and audio compression. These methods are increasingly finding application in areas such as machine learning and quantum computing alongside traditional application areas such as signal processing for images and audio. This course covers the mathematical development of Fourier and wavelet analysis, with an emphasis on both theory and practical application. Students will learn the necessary theory to apply Fourier and wavelet methods to the analysis of a variety of practical problems with hands on coding experience through a number of assignments.
Prerequisites
- Complete all of the following
- Must have completed at least 1 of the following:
- Complete 1 of the following
Antirequisites
None listed.
Leads to
No course lists it as a requisite.
Reviewed on UW Flow
100% liked it92% easy92% useful
From 6 ratings and 2 comments on UW Flow. The most helpful comments, quoted as written, without names. Read them all on UW Flow.
Great course which goes into the details of Fourier Transforms which are often overlooked in other courses such as Calc 4 or Quantum. Wavelets were something that I haven't gotten a change to see in any other course and was very interesting. I personalty found this course better structured and organized than AMATH 390, although AMATH 391 has fewer in class examples and applications.
Nov 2019 · liked it · 1 found this helpfulOn UW FlowRemove this
Fantastic course! I needed an override to take it and I thought I wouldn't do well, but it turns out it was quite understandable and it definitely helped me understand anything fourier-related, which I need for my other physics classes. It was pretty interesting seeing the concepts applied to real-life problems, and I wish we did more of the applications of what we learned in our assignments or classes. The midterm was curved a lot and the final was easy too. The assignments were doable. Prof. Fernandez offered to help anyone learn LaTeX if they didn't understand it and was very nice to us. Overall definitely an S-tier course.
Dec 2023 · liked itOn UW FlowRemove this
Discussed on r/uwaterloo
12 posts and comments in 10 threads mention AMATH 391, February 2011 to December 2024. Quoted word for word, newest first; each reply sits under the post and the comment that started its branch. Search r/uwaterloo for newer posts.
Spring 2024
thoughts on taking math235/237 as a cs major? 6 points, 6 comments
“i was originally pretty excited about never having to take calc or lin alg ever again but i have multiple friends in cs who are planning to still take math 235 and math 237 because they say there are …”
u/davidgur123: “… MATH 237 was a means to an end for me: I wanted to take AMATH 391, which required MATH 237 --> AMATH 231 --> AMATH 391. …”
Winter 2021
Course Selection Be Like: 74 points, 8 comments
u/Frozen-Penis: “… amath 391 has every version of lin alg except math 215 and has ECE 342 which hasnt been offered and been renamed to ECE 207 for over a decade now)”
Spring 2019
Anyone here taken AMATH 391 From Fourier to Wavelets? 4 points, 0 comments
u/BigBagOfMaths: “I was going to take fluid mechanics but it clashes with some other courses. Is the module interesting? Difficult? Any info would be much appreciated!”
Winter 2019
is engineering math significantly easier compared to math math 19 points, 18 comments
u/OrthogonalTrajectory: “what about filter design, signal processing, rigid body etc.”
u/cabbagemeister: “The hard math parts of engineering math etc (signals, controls) are AMATH391, AMATH455, AMATH456, and AMATH477. …”
Fall 2017
PSA: UWCourseLinker back up, disabled by default, call with [[course code]] 39 points, 31 comments
u/RayDWatson: “Testing all course codes 1/61: [[ACC604]] [[ACC605]] [[ACC606]] [[ACC607]] [[ACC608]] [[ACC609]] [[ACC610]] [[ACC611]] [[ACC620]] [[ACC621]] [[ACC622]] [[ACC623]] [[ACC624]] [[ACC625]] [[ACC626]] …”
u/RayDWatson: “… [[AMATH353]] [[AMATH361]] [[AMATH373]] [[AMATH382]] [[AMATH383]] [[AMATH390]] [[AMATH391]] [[AMATH431]] [[AMATH432]] [[AMATH433]] [[AMATH442]] [[AMATH444]] [[AMATH447]] [[AMATH451]] [[AMATH453]] [[AMATH455]] [[AMATH456]] [[AMATH463]] [[AMATH473]] [[AMATH475]] [[AMATH477]] …”
u/UWCourseLinker: “… Systems AMATH 383 - Introduction to Mathematical Biology AMATH 390 - Mathematics and Music AMATH 391 - From Fourier to Wavelets AMATH 431 - Measure and Integration AMATH 432 - Functional Analysis AMATH 433 - Differential Geometry AMATH 442 - Computational Methods for Partial …”
Any way to disable UWCourseLinker from posting? 16 points, 26 comments
“posting a reply to my comment I find the bot annoying.”
u/Jackhofmann: “PSYCH 483 PSYCH 484 PSYCH 485 PSYCH 486 PSYCH 490R PSYCH 499A PSYCH 499B PSYCH 499C PSYCH 621 PSYCH 630 PSYCH 677A PSYCH 704A PSYCH 704B PSYCH 707 PSYCH 710 PSYCH 714 PSYCH 717 PSYCH 720A PSYCH 721A …”
u/Jackhofmann: “… 107 AHS 600 AMATH 231 AMATH 250 AMATH 251 AMATH 271 AMATH 331 AMATH 342 AMATH 350 AMATH 351 AMATH 391 AMATH 442 AMATH 453 AMATH 456 AMATH 463 AMATH 473 AMATH 495 AMATH 663 AMATH 673 AMATH 731 AMATH 732 AMATH 740 AMATH 751 AMATH 871 AMATH 875 AMATH 900 ANTH 100 ANTH 100W ANTH 201 …”
Spring 2016
[Serious] Do you think the courses you take at UW are high quality? Why or why not? 28 points, 75 comments
“IMO lots of the classes I'm taking are okay at best. Some of them are just ugly shitshows”
[deleted]: [deleted]
u/Huex3: “How was 391? I doubt I'll ever take that course given my circumstances, but I'm interesting in learning a bit of signal processing, seeing how it can apply with SDEs and such.”
Winter 2016
Any good substitutes to vision courses CS484/473? 3 points, 3 comments
“These two are not offered anymore since all relevant professors have switched their research focus. Any good substitutes?”
u/retsoptidder: “ece 413 - digital signal & image processing syde 372 - introduction to pattern recognition syde 575 - image processing amath 391 - from fourier to wavelets cs 486 - introduction to artificial intelligence stat 441 - statistical learning - classification stat 442 - data …”
CS major interested in medical field - what courses / minor should I take? 0 points, 9 comments
u/apliens: “There's a lot of interesting work to be done in medical imaging. Essentially, it's a mix of graphics and signal processing. …”
u/retsoptidder: “although cs 473 isn't offered anymore, you can take ECE 413 (Digital Signal and Image Processing) and AMATH 391 (From Fourier to Wavelets)”
u/retsoptidder: “… AMATH 391 needs calc 4 + math 136, but it's only offered in the winters of odd years. …”
Winter 2011
Redditors of Uwaterloo! 30 points, 236 comments
“I'm generally curious about the redditors studying at UW. So my question to you all is: What are you currently studying in Waterloo? Age? Gender? …”
[deleted]: “Mathematical Physics, 21, Male”
[deleted]: “I'm in AMATH 391. I took most of my fourth year classes in third year so I don't find them too bad.”
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