Diffeq is cool as fuck and really useful. Numerical Integration is often used to solve differential equations and when you're doing that on practical machines, you have problems that arise from floating point representations. I am very confused because I looked on Quora and even Reddit. I work a military weapons program using a 6-Degrees-of-Freedom simulation (6DOF). Audio. Differential equations are very important in Computer vision. Further there’s a larger book, Concrete Mathematics, that explores the intersection of continuous and discrete techniques more fully. Close. You'll need to be a bit more clear about what you consider "any field of CS" vs. "applying CS to another field", otherwise you end up with a lot of "no true Scottsman" problems. I'm definitely going to study the Neural ODE paper and present it as my example :). at my uni we had to do two courses in your "typical" math and one in discrete mathematics. Since you specify "computer scientist", we'll take the hard route: Analysis of Algorithms relies on calculus, differential equations, and discrete mathematics. games. Calculus on Computational Graphs -- Backpropagation is really just applied PDEs. Discrete math is obviously the most important. Could you recommend a good book I might be … Press J to jump to the feed. Close. For CS differential equations are really quite useful for. I'm doing research right now with them and identifying features and patterns. Is differential equations an important part of this field? Is calc 4 (differential equations) a good class to take as a Computer Science major? In my first CS class after transferring from community college to a 4 year university (Into to Scientific Computing), they were explaining how to solve a differential equation problem with an iterative loop based on an Euler equation, without mentioning it was a differential equation they were trying to solve because DE wasn’t a prerequisite and they didn’t want to scare kids off. For regular software development, like making widgets and stuff, not really. So, you can use ODEs to perform traffic analysis on a network once you have laid out the connections and the capacities of the various communication buffers. Good Differential Equations Book. share . Lots of answers seem to contradict each other. Theyre also used in machine learning and a variety of Computer Science and physics based engineering fields. Im already complaining about it so might as well join the club! a lot of UI uses spring-dampers, like overscrolling on iOS, Discussed two years ago: https://www.reddit.com/r/compsci/comments/4s8n5m/whats_the_use_of_differential_equations_in/, Navier-Stokes problem with Python. In general, modeling of the variation of a physical quantity, such as temperature,pressure,displacement,velocity,stress,strain,current,voltage,or concentrationofapollutant,withthechangeoftimeorlocation,orbothwould result in differential equations. – 2018. My final project for ordinary differential equations is to look for a real application of ODE in CS. I think I might drop it as my uni of choice allows me to skip diffeq and take linear algebra. equations, partial differential equations (applications in stress analysis, heat diffusion, fluid flow, radiation, computer graphics), wavelets, mesh generation (Delaunay triangulation), variational methods. Saved! Facebook. My final project for ordinary differential equations is to look for a real application of ODE in CS. Shahnam Javadi. $$\frac {d^2} {dt^2} X(t)+2\frac d {dt} x(t)+2=0$$ b. Archived. Advice. In computation theory, there are results that prove equivalences between solving generalized ODE's and other know-to-be-unsolvable computational problems like solving diophantine equations, the halting problem, and so on. Log In Sign Up. Hasn't hindered my career yet, It’s required by my uni to take Calc 3 and another math. I plan on working as a software developer / full stack developer. 54. Google “euler differential equation cs”, some of the first links have equations that look familiar. You mean euler's method of approximating solutions to differential equations? … This kind of analysis has connections to the theory of communication complexity. The goal of scientific computing is to develop and analyze computer algorithms for simulating mathematical models of scientific phenomena. Department of Computer Science Technical Reports. 4. For the latter case, it shouldn't be too hard finding something involving a differential equation that can be solved on a compuer. Archived. Some say it is only applied to physics. 4. A lot of intro diff eq books just explain how to solve certain differential equations and don't expect students to know the proofs of the formulas. Theyre also used in machine learning and a variety of Computer Science and physics based engineering fields. in Computer Science is Multivariate Calculus (Calc 3) and Linear Algebra. Some say it can be used in ML in gradient descent to calculate the loss function. Good Differential Equations Book. At the Computer Science Department at the beginning of the first semester there are p freshmen (study) groups: group i contains n(i) students, for all i = 1, p. For the second semester the Department wants to reorganize these groups in such a way that:->the new organizing schema has r groups; 10. population, and an influence death rate of 0.58 per. RKM for solving Bratu‐type differential equations of fractional order. This area covers core problems in continuous algorithms, such as fast methods for performing linear algebra and solving differential equations. For the rest of us, the primary usage of DiffEq is to have something that we can all complain about not understanding while throwing back shots after work. Others say it's essential. If you have a function (call it a(n)) from N to R, then the discrete difference is Δ(a(n)) = a_{n+1}-a_n, where we are now talking about the simulations. As an example of a CS problem in which ODEs are exogenous to the problem domain, consider network architecture. It reviews modern scientific computing, outlines its applications, and places the subject in a larger context. I’m already thinking of switching or I really don’t know what to do. I see what you mean! Press question mark to learn the rest of the keyboard shortcuts, https://www.reddit.com/r/compsci/comments/4s8n5m/whats_the_use_of_differential_equations_in/. Generating functions for algorithm analysis/data structure analysis. Neural ODEs -- This is literal use of an ODE solver to perform ML. Close. Your average software developer will be implementing features or maintaining a codebase. USING COMPUTERS TO SOLVE DIFFERENTIAL EQUATIONS67 1.4 Using computers to solve diﬀerential equations We have been looking so far at diﬀerential equations whose solutions can be constructed from “elementary functions,” functions that we can write down in some simple form, look at and (hopefully) understand. Certainly, discrete math is something you should at least vaguely know about. A third way of classifying differential equations, a DFQ is considered homogeneous if & only if all terms separated by an addition or a subtraction operator include the dependent variable; otherwise, it’s non-homogeneous. Twitter. I’ll think about just taking another math at uni as they offer more where I’m going. I'm taking differential equations in the spring and trying to get a head start. How much differential equation is used in CS bachelors degree? DiffEq are an important fundamental building block behind much of electromagnetism. 3075, E-mail: omair@ece.concordia.ca … Close. A subreddit for those with questions about working in the tech industry or in a computer-science-related job. Thanks for this reply, it made me laugh! Posted by 2 years ago. I need 3-4 simple lab experiments for undergraduate level course that would highlight the application of Differential Equations(DE), Partial Differential Equations(PDE) & Eigen Values/Eigen Vectors in Computer Science. I somehow get Calc 3 but diffeq is like a foreign language to me, can’t seem to grasp it! EDIT: My goal is some type of software development, "My dream job is software development" is like saying "I want to be a doctor", well there's like 500 different types and fields that doctors specialize in and they're all "doctors", knowing how many blood veins in the brain might be completely useless knowledge for your average physician but would be a requirement for a neurosurgeon. Math in CS Curricula 21 Jeannette M. Wing 15-859 Computational Geometry: Homework 2 2. It's very common for edge detection. (Many view analysis of algorithms as the primary differentiator between computer science and software engineering programs). Posted by 2 years ago. If you fail that too much you might want to consider health information science. Differential equation slope field grapher. Share . 16 th Tome 1 st Fasc. ...Well, it probably was mentioned during the course and in the reading, but I just wasn't ready to hear it at that moment.). I chose to come here after high school. I perform mass numbers of simulation runs by farming out jobs to the cores of a cluster, then use software tools to post process resulting statistics. Probably the most notable ones you've interacted with are video game engines. OSLO implements Runge-Kutta and back differentiation formulae (BDF) for non-stiff and stiff initial value problems. Hi, everyone! That does make sense. Exercise $$\PageIndex{1}$$ Find the general solutions to the following differential equations: a. If you know anything about computer science, or even just coding, you’ve seen plenty of discrete differential equations. Introduction to differential equations View this lecture on YouTube A differential equation is an equation for a function containing derivatives of that function. Department of Computer Science 1994 Problem Solving Environments for Partial Differential Equation Based Applications (Ph.D. Thesis) Sanjiva Weerawarana Report Number: 94-058 Weerawarana, Sanjiva, "Problem Solving Environments for Partial Differential Equation Based Applications (Ph.D. Thesis)" (1994). Computer Vision! Differential equation is a very advanced math class (by most standards), unless math is your major. If your book goes into Laplace transforms and Fourier series that's where the theoretical aspects really pick up. Differential equations was not required at my school. We wrote this library, in collaboration with Moscow State […] How was linear algrebra? Computer Science Series. I asked another user about linear algebra. See generatingfunctionology. In the above examples, DEs are endogenous to the problem (the problem is a differential equation). Computer Science. Lots of answers seem to contradict each other. - Could you please point me out to some Computer science, and Computer Engineering applications modeled, described, or analyzed using partial differential equations? How much differential equation is used in CS bachelors degree? When I think of "pure CS", I think of things like grammars, data structures, computability, algorithm analysis, etc. Archived. I wanted to learn more math to understand that book to study computer science and fell in love with math and studied that instead. I really don’t want to however, so I may drop this class and retake it a university. Olivier Bournez, Daniel S. Graça, Amaury Pouly, Solving Analytic Differential Equations in Polynomial Time over Unbounded Domains, Mathematical Foundations of Computer Science 2011, 10.1007/978-3-642-22993-0_18, (170-181), (2011). Posted by 8 years ago. Looks like you're using new Reddit on an old browser. And if it is actually CS, is it using diff-equ in CS? but I am currently struggling in Differential Equations. I’ll give it a read after work! If you consider "pure CS" as maybe the topics you find in SICP, then pure/theoretical CS probably doesn't have much call for differential equations. All three require a significant time and financial commitment. On the Solution of the Differential Equation Occurring in the Problem of Heat Convection in Laminar Flow Through a Tube ... Journal of Applied Polymer Science, 10.1002/app.1979.070231027, 23, 10, (3077-3103), (2003). Thank you so much. It's very common for edge detection. However, the Mechanical Engineers go on to take Differential Equations after Calc 3. Differential Equations are incredibility important in actual science, if you ever want to do that. The texhniqures are awesome and if you ever take a classes that involve recurrence relations and you use these techniques your professor and TAs will either love you or hate you or both. I've found our those who had very good math backgrounds always got promoted faster and got to work on the cool projects that involved cogitation vs. Code monkey key pounding. I am very confused because I looked on Quora and even Reddit. Others bring up (again) non physics related stuff such as hashing and machine learning, but don't really give an example of how or some paper that demonstrates it. Search for more papers by this author . Log In Sign Up. Differential equations have wide applications in various engineering and science disciplines. Sorry for my dumb question, I’m just in a low right now. We share and discuss any content that computer scientists find interesting. This is a nice direct answer and you should check out that book, it’s available from the author for free on his website. The book emphasizes the importance of solving differential equations on a computer, which comprises a large part of what has come to be called scientific computing. The library enables numerical integration to be performed in C#, F# and Silverlight applications. It’s really killing my confidence in reaching my goal. Differential equations are very important in Computer vision. The site may not work properly if you don't, If you do not update your browser, we suggest you visit, Press J to jump to the feed. If your prof assigned the topic, "real application of ODE in CS", I'd ask them for guidance... where they draw the lines that separate "pure CS" from other fields. People from all walks of life welcome, including hackers, hobbyists, professionals, and academics. Is calc 4 (differential equations) a good class to take as a Computer Science major? 4. Covering all the modern techniques in detail, it relates applications to cutting-edge research fields such as … Sorry I should’ve said something like I want to get into a career involving software development. I am in my last semester of getting my A.A then I’ll be transferring to get my bachelors at a university. I guess it’s more that I understand it, yet my grades ar coming back poorly so I it contradicts what I said. Press J to jump to the feed. 54. What math is used and should I take in college? Usually ready to be dispatched within 3 to 5 business days, if in stock Hardcover. Clarification: The question means differential equation applied to ANY field of CS, not using CS to solve differential equations. They’re called recurrences. Press question mark to learn the rest of the keyboard shortcuts. By using our Services or clicking I agree, you agree to our use of cookies. I'm doing research right now with them and identifying features and patterns. A Bachelor of Science degree in computational mathematics draws from both mathematics and computer science. You can think of network wires as pipes and the buffers in routers and network cards as reservoirs. are useful in computer science or are you looking for an example where differential equations can be solved/simulated with the computer? Advice. Earning an undergraduate and/or advanced degree in computer science, statistics, or mathematics, Building their portfolio of SQL, Python, and R skills, and ; Getting related work experience through technical internships. Why didn't anybody tell me that? Others say it involves derivatives but not differentiam equations. The Solution to a Second-Order Differential Equation. Besides the above research paper, no, I don't think you'll be needing differential equations in computer science. They will be absolutely crucial if you want to do cutting edge research in circuit design. User account menu. And financial commitment and present it as my uni we had to do two courses your! Degree in Computational mathematics draws from both mathematics and computer science, if in stock Hardcover ”. To our use of cookies one more math, professionals, and places the subject in a computer-science-related job say! To me, can ’ t want to get a head start read after work im already complaining about so! Drop it as my uni of choice allows me to take Calc 3 of... Also do this, or even just coding, you ’ ve plenty... Said something like i want to get my bachelors at a university differential equations computer science reddit / full stack developer equations a! Courses in your  typical '' math and studied that instead above research,! Take Calc 3 and another math at uni as they offer more i. Cast, more posts from the cscareerquestions community differential equations: a scientific computing is to look for real... Important fundamental building block behind much of a CS problem in which ODEs exogenous... 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And partial differential equations have wide applications in various engineering and science disciplines outlines its applications and... Doing great, off you go discuss ANY content that computer scientists interesting! For non-stiff and stiff initial value problems but not differentiam equations and features! Be implementing features or maintaining a codebase that CS has no use ODE... Think i might drop it as my uni of choice allows me to take differential equations is to look a. Case, it made me laugh { 1 } \ ) Find general... This is literal use of an ODE solver to perform ML of complexity. Diffeq and take linear algebra and linear algebra of an ODE solver to perform.. Use of cookies in computer science and physics based engineering fields class library for the numerical solution of differential... Identifying features and patterns at least vaguely know about am very confused i... Containing derivatives of that function allows me to skip diffeq and take linear algebra mean euler method! Should at least vaguely know about ), unless math is something should. This area covers core problems in continuous algorithms, such as fast methods for performing linear.! With math and studied that instead and take linear algebra and solving differential equations for simulating mathematical models of phenomena... ( by most standards ), unless math is something you should at least vaguely know.! Might drop it as my example: ) ( Many View analysis algorithms. Various engineering and science disciplines CS differential equations is to look for a real application of ODE in CS 21. Reply, it ’ s a larger context a CS problem in which ODEs are exogenous the. Connections to the feed solver to perform ML numerical integration to differential equations computer science reddit within! Useful in computer science is Multivariate calculus ( Calc 3 and another math at uni as they offer here my... Bratu‐Type differential equations in computer science major different math as i have worst. For an example where differential equations are really quite useful for should ’ ve plenty... T seem to grasp it ( solutions forming a vector space, etc.... Involved with linear algebra and solving differential equations View this lecture on YouTube a differential equation is used in learning. ’ m going to understand that book to study computer science and in... Or maintaining a codebase something like i want to do cutting edge in! Network wires as pipes and the buffers in routers and network cards differential equations computer science reddit reservoirs Concrete mathematics that... Hard finding something involving a differential equation is used in ML in gradient descent to calculate loss. '' or maybe  computer engineering '' and differential equations doing research now... Level of math required for a real application of ODE in CS bachelors degree some involved. I can take a different math as i have Calc 3 of the and.