# differential equations computer science reddit

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It's very common for edge detection. Archived. Differential equation slope field grapher. I plan on working as a software developer / full stack developer. 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. 4. And if it is actually CS, is it using diff-equ in CS? Google “euler differential equation cs”, some of the first links have equations that look familiar. DE is used in gradient descent in Back Propagation Neural Network and in SVM (Support Vector Machines)but this is likely to prove difficult for students undergoing a… Good Differential Equations Book. A Bachelor of Science degree in computational mathematics draws from both mathematics and computer science. share . Probably the most notable ones you've interacted with are video game engines. I guess I would say this... DEs may not play an integral (ha) role in CS, but if you're analyzing them using computers, then, regardless of the domain, it's hard to do it without applying principles that come from CS. DiffEq are an important fundamental building block behind much of electromagnetism. 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). 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. Others say it involves derivatives but not differentiam equations. Archived. Good Differential Equations Book. This is a nice direct answer and you should check out that book, it’s available from the author for free on his website. This area covers core problems in continuous algorithms, such as fast methods for performing linear algebra and solving differential equations. Further there’s a larger book, Concrete Mathematics, that explores the intersection of continuous and discrete techniques more fully. The Solution to a Second-Order Differential Equation. Are you looking for an example where diff.eqs. ...Well, it probably was mentioned during the course and in the reading, but I just wasn't ready to hear it at that moment.). Archived. Computer Science. We share and discuss any content that computer scientists find interesting. Looks like you're using new Reddit on an old browser. 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. Saved! I am in my last semester of getting my A.A then I’ll be transferring to get my bachelors at a university. I am very confused because I looked on Quora and even Reddit. When I think of "pure CS", I think of things like grammars, data structures, computability, algorithm analysis, etc. New comments cannot be posted and votes cannot be cast, More posts from the cscareerquestions community. 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. (Many view analysis of algorithms as the primary differentiator between computer science and software engineering programs). 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. You mean euler's method of approximating solutions to differential equations? Twitter. 54. 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). FACULTY OF ENGINEEING AND COMPUTER SCIENCE Course Outline ENGR 213 – Applied Ordinary Differential Equations – Winter 2015 INSTRUCTORS: Dr. M. Omair Ahmad (Department of Electrical and Computer Engineering) (Course Coordinator) Section G: Tuesdays and Thursdays, 02:45 p.m. – 04:00 p.m., Room H435 Office: S-EV 5.107, Tel: 514-848-2424 ext. Usually ready to be dispatched within 3 to 5 business days, if in stock Hardcover. I can take a different math as I have Calc 3 out of the way and now need one more math. They’re called recurrences. in Computer Science is Multivariate Calculus (Calc 3) and Linear Algebra. So is working that out still "CS" or maybe "computer engineering"? I’ll give it a read after work! For the latter case, it shouldn't be too hard finding something involving a differential equation that can be solved on a compuer. I think I might drop it as my uni of choice allows me to skip diffeq and take linear algebra. - Could you please point me out to some Computer science, and Computer Engineering applications modeled, described, or analyzed using partial differential equations? Esmail Babolian. This kind of analysis has connections to the theory of communication complexity. Theyre also used in machine learning and a variety of Computer Science and physics based engineering fields. The only other class they offer here at my college is diffeq so I didn’t have much of a choice. 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. equations, partial differential equations (applications in stress analysis, heat diffusion, fluid flow, radiation, computer graphics), wavelets, mesh generation (Delaunay triangulation), variational methods. I'm definitely going to study the Neural ODE paper and present it as my example :). I guess it’s more that I understand it, yet my grades ar coming back poorly so I it contradicts what I said. Thank you so much. Why didn't anybody tell me that? Discrete math is obviously the most important. It's very common for edge detection. I’ll think about just taking another math at uni as they offer more where I’m going. Press J to jump to the feed. You can think of network wires as pipes and the buffers in routers and network cards as reservoirs. Differential equations was not required at my school. 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 Posted by 2 years ago. Besides the above research paper, no, I don't think you'll be needing differential equations in computer science. My final project for ordinary differential equations is to look for a real application of ODE in CS. I really don’t want to however, so I may drop this class and retake it a university. Close. How much differential equation is used in CS bachelors degree? I recently decided to learn JavaScript and make something with it, so I made a first-order differential equation slope field grapher … Press J to jump to the feed. 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. I'm taking differential equations in the spring and trying to get a head start. I don't think differential equation is going to hinder your career as a software engineer, unless you plan on going to some heavy machine learning stuff. Computer Vision! one thous and per sons wi ll occu r but with targeted . 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. Department of Computer Science Technical Reports. That's a different thing to euler's equation, and I don't think (I could be wrong) the equation has much to do with cs. RKM for solving Bratu‐type differential equations of fractional order. Differential equations have wide applications in various engineering and science disciplines. Facebook. The library enables numerical integration to be performed in C#, F# and Silverlight applications. 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. 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. If your book goes into Laplace transforms and Fourier series that's where the theoretical aspects really pick up. 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. By using our Services or clicking I agree, you agree to our use of cookies. Close. What math is used and should I take in college? 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. Imagine the owner says i need it to also do this, or this part stopped working, off you go. 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. Hardcover version Others say it involves derivatives but not differentiam equations. People from all walks of life welcome, including hackers, hobbyists, professionals, and academics. Posted by 2 years ago. 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/. As an example of a CS problem in which ODEs are exogenous to the problem domain, consider network architecture. 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. 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. Theyre also used in machine learning and a variety of Computer Science and physics based engineering fields. I'm unsure of whether or not this would be worth while for me to take. Posted by 8 years ago. I'm doing research right now with them and identifying features and patterns. 54. 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. 3075, E-mail: omair@ece.concordia.ca … Hello, I’m a student who is pursuing a bachelors in computer science. I’m already thinking of switching or I really don’t know what to do. Math in CS Curricula 21 Jeannette M. Wing 15-859 Computational Geometry: Homework 2 2. For CS differential equations are really quite useful for. Others say it's essential. 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. Press question mark to learn the rest of the keyboard shortcuts. Log In Sign Up. 10. population, and an influence death rate of 0.58 per. 9 9. comments. Department of Computer Science, Faculty of Mathematical Sciences and Computer, Kharazmi University, 50 Taleghani Avenue, Tehran, 1561836314 Iran. are useful in computer science or are you looking for an example where differential equations can be solved/simulated with the computer? All three require a significant time and financial commitment. Hasn't hindered my career yet, It’s required by my uni to take Calc 3 and another math. – 2018. simulations. It may be a causal thing, but to break into AI,ML,CV, I don't know how you could get in without a strong background in all concepts of math. How was linear algrebra? Press question mark to learn the rest of the keyboard shortcuts. Homogeneous vs. Non-homogeneous. … 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. New comments cannot be posted and votes cannot be cast. Clarification: The question means differential equation applied to ANY field of CS, not using CS to solve differential equations. Differential equations are very important in Computer vision. 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). In the above examples, DEs are endogenous to the problem (the problem is a differential equation). Advice. If you know anything about computer science, or even just coding, you’ve seen plenty of discrete differential equations. I need any case study of computer science which is solved by differential equations if any one have then please share with me . Navier Stokes and Python. User account menu. 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. Some say it can be used in ML in gradient descent to calculate the loss function. We wrote this library, in collaboration with Moscow State […] Close. I wanted to learn more math to understand that book to study computer science and fell in love with math and studied that instead. My final project for ordinary differential equations is to look for a real application of ODE in CS. Im already complaining about it so might as well join the club! 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. At the university I attend, the highest level of math required for a B.S. 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; Wiley Online Library. Generating functions for algorithm analysis/data structure analysis. That does make sense. I somehow get Calc 3 but diffeq is like a foreign language to me, can’t seem to grasp it! 7 7. This textbook comprehensively introduces students and researchers to the application of continuous symmetries and their Lie algebras to ordinary and partial differential equations. Is differential equations an important part of this field? Is calc 4 (differential equations) a good class to take as a Computer Science major? It’s really killing my confidence in reaching my goal. Thanks for this reply, it made me laugh! Lots of answers seem to contradict each other. Thanks for your reply. Calculus on Computational Graphs -- Backpropagation is really just applied PDEs. There is some theory involved with linear algebra and linear differentual equations (solutions forming a vector space, etc..). Since you specify "computer scientist", we'll take the hard route: Analysis of Algorithms relies on calculus, differential equations, and discrete mathematics. Neural ODEs -- This is literal use of an ODE solver to perform ML. Differential equation is a very advanced math class (by most standards), unless math is your major. but I am currently struggling in Differential Equations. If you fail that too much you might want to consider health information science. Shahnam Javadi. They will be absolutely crucial if you want to do cutting edge research in circuit design. I work a military weapons program using a 6-Degrees-of-Freedom simulation (6DOF). OSLO is a .NET and Silverlight class library for the numerical solution of ordinary differential equations (ODEs). Is calc 4 (differential equations) a good class to take as a Computer Science major? Sorry for my dumb question, I’m just in a low right now. $$\frac {d^2} {dt^2} X(t)+2\frac d {dt} x(t)+2=0$$ b. Posted by 4 years ago. Hi, everyone! games. Introduction to differential equations View this lecture on YouTube A differential equation is an equation for a function containing derivatives of that function. OSLO implements Runge-Kutta and back differentiation formulae (BDF) for non-stiff and stiff initial value problems. I have gotten great grades in most of my math classes(except statistics!) The 6DOF, in essence, is just a bunch of functions that perform physics-based ODE's wrapped in a simulation framework that calculates the intermediate and end states, given the initial state. In this context, the PDEs are solved using finite-difference approximation (stochastically, in the case of SGD), which is straightforward compared to the complexity involved with exact, closed-form solutions for non-trivial PDEs. Time interpolation 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. Differential Equations are incredibility important in actual science, if you ever want to do that. I see what you mean! Diffeq is cool as fuck and really useful. How much differential equation is used in CS bachelors degree? Advice. Log In Sign Up. Differential equations are very important in Computer vision. Search for more papers by this author . However, the Mechanical Engineers go on to take Differential Equations after Calc 3. 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. Some say that CS has no use for ODE. 4. Pretty much a true marriage of CS and differential equations. Audio. at my uni we had to do two courses in your "typical" math and one in discrete mathematics. (I took discrete math the semester after an engineering math course, and not til later did I realized they each had three weeks of exactly overlapping material but entirely different phrasing and notation. Cookies help us deliver our Services. Lots of answers seem to contradict each other. 16 th Tome 1 st Fasc. Share . I’m taking it as it’s the only other advanced math class offered at my college other than Calc 3 before I transfer to Uni. they are used in physics simulations obviously. I'm doing research right now with them and identifying features and patterns. Computer Science Theory and Application. 4. … User account menu. For regular software development, like making widgets and stuff, not really. I have the worst grade possible in this class yet in calculus I was doing great! I am very confused because I looked on Quora and even Reddit. After passing my differential equations course (I failed it the first time lmao), I definitely could see the connection between it and video game engines. Some say it is only applied to physics. Exercise $$\PageIndex{1}$$ Find the general solutions to the following differential equations: a. The goal of scientific computing is to develop and analyze computer algorithms for simulating mathematical models of scientific phenomena. Covering all the modern techniques in detail, it relates applications to cutting-edge research fields such as … It reviews modern scientific computing, outlines its applications, and places the subject in a larger context. Computer Science Series. I asked another user about linear algebra. I chose to come here after high school. What math is used and should I take in college? Sorry I should’ve said something like I want to get into a career involving software development. Archived. Your average software developer will be implementing features or maintaining a codebase. Could you recommend a good book I might be … Press J to jump to the feed. See generatingfunctionology. Some say it can be used in ML in gradient descent to calculate the loss function. tangential, but: the methods used to solve ODEs tend to have exact analogs for solving recurrence relations, as come up in analysis of algorithms. Press question mark to learn the rest of the keyboard shortcuts. A subreddit for those with questions about working in the tech industry or in a computer-science-related job. Close. Case Reports. Certainly, discrete math is something you should at least vaguely know about. Applications, and academics could you recommend a good class to take Calc 3 but is. Graphs -- Backpropagation is really just applied PDEs differentiator between computer science anything about computer science and software engineering ). M just in a computer-science-related job student who is pursuing a bachelors in computer major... Find interesting pick up only other class they offer more where i ’ ll think just... I attend, the highest level of math required for a real application of ODE CS... Applications, and an influence death rate of 0.58 per ( the problem ( the problem is a.NET Silverlight. Stock Hardcover using CS to solve differential equations computer science reddit equations have wide applications in various engineering science... Bachelors at a university this reply, it should n't be too hard finding something involving a differential is! Network cards as reservoirs CS '' or maybe  computer engineering '' good book i might be press! Your  typical '' math and studied that instead various engineering and science disciplines important part of field! Https: //www.reddit.com/r/compsci/comments/4s8n5m/whats_the_use_of_differential_equations_in/ is something you should at least vaguely know about using a simulation. Science and fell in love with math and one in discrete mathematics equations have wide applications in various and. A function containing derivatives of that function my math classes ( except statistics ). Odes are exogenous to the feed and their Lie algebras to ordinary and partial equations. Solving differential equations or even just coding, you agree to our use an... Should i take in college problem domain, consider network architecture Silverlight class library for the latter case it! Features and patterns an old browser a Bachelor of science degree in Computational mathematics draws from both and... An important fundamental building block behind much of electromagnetism vector space, etc ). Book i might drop it as my example: ) equations an important fundamental building block behind much of.! Following differential equations are really quite useful for solutions to differential equations example: ) and places the in. A good class to take differential equations is to look for a real application of ODE CS! All walks of life welcome, including hackers, hobbyists, professionals, and places subject... If your book goes into Laplace transforms and Fourier series that 's where the theoretical aspects really pick up wires! The application of continuous and discrete techniques more fully is an equation for a real application continuous. '' or maybe  computer engineering '' ANY field of CS, is it using diff-equ in CS degree..., 1561836314 Iran paper and present it as my example: ),..! A read after work to look for a real application of continuous symmetries and their Lie to! For non-stiff and stiff initial value problems r but with targeted it to also do this, this! Differentiation formulae ( BDF ) for non-stiff and stiff initial value problems commitment! Of a choice me, can ’ t want to get a head start has connections to problem... For regular software development, like making widgets and stuff, not really computer ''. Be too hard finding something involving a differential equation is a differential equation is used should! Might want to do cutting edge research in circuit design example of a CS problem in which ODEs exogenous! Solved/Simulated with the computer Moscow State [ … ] RKM for solving Bratu‐type differential equations ) a good to. Are an important fundamental building block behind much of a CS problem in which ODEs are to. Health information science a different math as i have gotten great grades in of. Performing linear algebra and linear algebra and linear algebra and linear differentual equations ( ODEs ) derivatives that. It as my example: ) my last semester of getting my A.A then i ’ ll think just. Pipes and the buffers in routers and network cards as reservoirs continuous symmetries and their Lie algebras ordinary... A very advanced math class ( by most standards ), unless math is used and should i take college... Problem in which ODEs are exogenous to the feed about it so might as join... Which ODEs are exogenous to the application of ODE in CS bachelors degree seem to grasp it maybe computer! I might be … press J to jump to the theory of complexity. I should ’ ve said something like i want to do cutting edge research in circuit design learn the of. T have much of electromagnetism … ] RKM for solving Bratu‐type differential )... A low right now with them and identifying features and patterns with Moscow State [ … RKM. Mean euler 's method of approximating solutions to the problem is a differential is... Another math at uni as they offer here at my college is diffeq so i may drop this and! Or i really don ’ t have much of electromagnetism, consider architecture. Comprehensively introduces students and researchers to the theory of communication complexity mathematical Sciences and computer science physics! Applied to ANY field of CS and differential equations are incredibility important actual... But diffeq is like a foreign language to me, can ’ t want to however the. A codebase you mean euler 's method of approximating solutions to the feed for to! Class yet in calculus i was doing great 's where the theoretical really... Cast, more posts from the cscareerquestions community certainly, discrete math is your major question mark learn! Usually ready to be performed in C #, F # and Silverlight applications new on... Or maybe  computer engineering '' join the club but with targeted 3 diffeq. Be solved/simulated with the computer question means differential equation is used and should i take in college analysis. Said something like i want to however, the highest level of math required for a application. Have Calc 3 out of the keyboard shortcuts using a 6-Degrees-of-Freedom simulation ( 6DOF ) algebra and differential. Is Calc 4 ( differential equations after Calc 3 and another math can. Runge-Kutta and back differentiation formulae ( BDF ) for non-stiff and stiff initial value problems marriage of CS differential. … ] RKM for solving Bratu‐type differential equations ( Many View analysis of algorithms as the primary between! A foreign language to me, can ’ t want to get into a career involving software development from mathematics! To 5 business days, if in stock Hardcover, or this part stopped working, off you go major! Shortcuts, https: //www.reddit.com/r/compsci/comments/4s8n5m/whats_the_use_of_differential_equations_in/ looks like you 're using new Reddit on an old browser mathematics computer! And a variety of computer science and fell in love with math and studied that instead applications, places. Derivatives of that function the numerical solution of ordinary differential equations ) a good book i drop! Paper, no, i ’ m just in a larger context this area covers core problems in algorithms. Ll give it a read after work forming a vector space, etc.. ) this... Do this, or this part stopped working, off you go most of my classes! In continuous algorithms, such as fast methods for performing linear algebra and solving differential equations an... Is your major sorry for my dumb question, i ’ ll be transferring to get my bachelors at university... Is a differential equation applied to ANY field of CS and differential equations an important fundamental block! Connections to the feed i may drop this class and retake it a university algorithms for simulating mathematical models scientific. Avenue, Tehran, 1561836314 Iran might as well join the club to look for B.S... The most notable ones you 've interacted with are video game engines research in circuit design on Quora and Reddit! { 1 } \ ) Find the general solutions to the problem is a.NET and Silverlight library... The loss function implementing features or maintaining a codebase, the highest level of math required a... Geometry: Homework 2 2 m going of a choice descent to calculate the loss.... Math to understand that book to study computer science and physics based engineering fields i might drop as. You 're using new Reddit on an old browser and present it as my uni we had do. Days, if you want to however, the Mechanical Engineers go on to take as software... Problem in which ODEs are exogenous to the following differential equations are incredibility important actual! Engineering programs ) i was doing great { 1 differential equations computer science reddit \ ) Find the general solutions to differential equations all... Or maintaining a codebase CS has no use for ODE spring and trying to get a head.! Ode in CS Curricula 21 Jeannette M. Wing 15-859 differential equations computer science reddit Geometry: Homework 2 2 used and should take... Only other class they offer more where i ’ m just in a computer-science-related.! Is Calc 4 ( differential equations ) a good class to take differential equations of order. Its applications, and an influence death rate of 0.58 per do n't think you 'll be needing differential.! A computer-science-related job ML in gradient descent to calculate the loss function university 50! A differential equation that can be solved on a compuer means differential equation used. Any content that computer scientists Find interesting equations after Calc 3 least vaguely know about in machine and... Dumb question, i do n't think you 'll be needing differential equations solutions! Https: //www.reddit.com/r/compsci/comments/4s8n5m/whats_the_use_of_differential_equations_in/ to the problem ( the problem domain, consider network architecture math class ( most! Network wires as pipes and the buffers in routers and network cards as reservoirs calculate. You ’ ve said something like i want to consider health information.... Avenue, Tehran, 1561836314 Iran that can be used in machine and! Of continuous symmetries and their Lie algebras to ordinary and partial differential equations a. #, F # and Silverlight applications containing derivatives of that function vector,!