Do bioengineers use numerical methods/analysis? What job title? What type of industry?

Hello, Has anybody had experience using Numerical Methods/Analysis in an industry setting? What type of bioengineer uses such math? (Job title: Bio-Systems Engineer, Bio-Process Engineer, Software, Controls, etc...) What type of product/service would that company provide?

I am starting my career and I'm disappointed in the lack of math used by some of the engineering companies I have interviewed with. I would like to make a 5 year plan to get to a job position that requires more computation/simulation/math. Thanks!

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Looking for decent books in numerical analysis

I have a masters degree in mathematics so fundamentals aren't an issue. I had very limited exposure in undergrad and none in grad. My masters program was all in pure mathematics but am working in a position that is starting to require more in depth understanding of numerical analysis. Any advice is appreciated!

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Where can I learn Numerical Analysis online?

Hi,

I'm a high school studying for an entrance exam for my prospective university. In order to pass that I will need to know and use elementary numerical methods encoded in the Python language.

Although I know Python and Calculus, I don't know any resources online for numerical methods as this is completely new to me. So could anyone please help me out on this issue?

The things I need to know are:

  1. Nonlinear equations - iterative numerical methods - dichotomy methods (bisection, proportional parts) - fixed point methods (Picard, Newton, Newton-chord)
  2. Integral calculation - Lagrange interpolation - non-composite quadrature formulas - Newton-Cotes formulas - composite quadrature formulas - error estimate, fixed-pitch versus variable pitch
  3. Ordinary differential equations - one-step digital methods (progressive Euler, retrograde Euler, Crank-Nicolson, Heun, modified Euler, Runge-Kutta) - error estimate - consistency, stability,
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Hacker's Guide to Numerical Analysis bollu.github.io/a-hackers…
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Does anyone use Numerical Analysis techniques in their day to day job and if so, why?
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What is the "numerical analysis method" Matlab uses to solve differential equations ?

Hello,
I need to check what is the method used, how do i check it? Where do i click?

And then, how could i change it? (Example : runge kutta).

Thank you very much and have a good day.

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πŸ“…︎ Mar 21
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Learning paths towards Stochastic Calculus, Numerical Analysis, Probability Theory

Hi everyone!

I have always been wanting know more about these three topics. And since it is COVID, I figured why not to better use my time to start learning again.

The only math courses that I have took during my undegrad were up to Calc 3, and Intro to Linear Algebra.

I am open to either self-learn or pay for courses. Any advices and recommendations would be much appreciated!

Thanks

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[HIRE ME ] NEED HELP? I WILL HELP YOU IN ALL ENGINEERING SUBJECTS, IN MIPS, VERILOG, VHDL TASKS AND IN ALL ELECTRICAL ENGINEERING SUBJECTS MATLAB PROJECTS, NUMERICAL ANALYSIS THROUGH PYTHON AND MATLAB. PYTHON, COMPUTER ARCHITECTURE, MULTISIMS, MICROPROCESSORS DISCORD: Exotic#7001

I will provide following in details.

Β· Verilog source code

Β· VHDL source code

Β· Schematic

Β· Truth tables

Β· Testbench

Β· Simulation results

Β· Self-testing/UVM based testing platforms

I will provide simulations in following software.

Xillinx Vivado

Xillinx ISE

ModelSim

QuartusII

ISim

GTKwave

eda simulator

Assembly Language

β€’ Computer Architecture MIPS

β€’ Digital Logic Design

β€’ Logosim

β€’ microprocessor

β€’ Verilog

β€’ MATLAB

β€’ multisim

β€’ packet tracer

β€’ Circuit Analysis

β€’ Basic Electrical Engineering and circuit Analysis

β€’ Embedded systems...Arduino, Node MCU

β€’ Numerical analysis with MATLAB and PYTHON

β€’ Moreover Included

β€’ SolidWorks

β€’ Autocad 2D and 3D projects

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Theory of Probability or Numerical Analysis in Summer

Hi! I have to take summer classes but I’ve never taken one before. How is the pacing of theory of probability in the summer? Is it manageable? How were the assessments (were they harder than math classes in the academic year)? Is Numerical Analysis more manageable to take?

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πŸ“…︎ Mar 24
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Derivatives and Taylor Series Algorithm in my Numerical Analysis

Hello guys,

My professor asked me to make a derivative and Taylor series program in our numerical analysis subject. We can use math libraries such as sympy or NumPy but I want to make my program without depending on that libraries and I want to understand the logic behind what happens on the program as soon as possible. I do some research about derivatives and I found an algorithm or formula that close to accurate because have some point decimal errors in the program. to make it accurate, I round the answers in two decimal places but chopping numbers at 5 decimal places is all I want, and as I said, there is a little bit of error/difference to the actual answer to the answer of my program which I can't do shopping. I want to improve the formula and understand how it flows.

This is my program source code for derivative

In this formula, I don't understand why the h in the derivative formula (f(x+h) - f(x))/h assumes that the value of h is equal to 1/1000 and the answer is close to correct because some differences in decimal places value in the using the formula. Help me guys to understand this formula. Also you can suggest such formula/algorithm that are more accurate than this or suggest some stuff.

For those who doesn't understand my source code:

My function is : 1/(1-x)

Derivative function: 1/(1-x)^2

our input to our derivative function = 2

h = 1/1000

solution:

use the formula f'(2) = f(x+h) - f(x) / h

((1/(1-2.001)) - (1/(1-2))) / 1/1000

Answer:

The program's raw answer : 0.9990009990008542

program's rounded answer in two decimal places: 1.0

P.S

you can try to input wherever you like and the answer looks approximately/ closely to the answer.

I know how to do derivative but when I found that h assumes to become 1/1000, I confused.

Help me guys to understand this formula. Also, you can suggest such formulas/algorithms that is more accurate than this or suggests some stuff.

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Introduction to Numerical Analysis texts?

I've been in the pure math world for a long time now and figured I start to go back into the more applied side of things. I have familiarity with coding and programming languages, however I lack the theory that my computer scientist classmates have. I am reading Walter Gautschi's Numerical Analysis, which is a graduate level text. If anybody knows of a good undergraduate text to get me up to speed and supplement ideas, it would be greatly appreciated.

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πŸ‘€︎ u/TheGoodGovernment
πŸ“…︎ Jan 25
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My friends: Trump won the election. There was widespread voter fraud. My uncle was told to put his ballot on a stack on a table and didn't see it scanned, and the poll workers said "don't you trust us". Ballots were dumped. Numerical analysis show inconsistencies. Me: ...

In a long conversation the other day, I failed to use SE properly and resorted to saying how improbable it was that the election was stolen, and didn't properly implement SE methods to ask about the reliability of his sources.

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50$ Need Help With Linear Algebra With Numpy. Algebra Topics like Eigen Values&Vectors, Power Method you should be proficient in Linear Algebra, Numpy and Numerical Analysis.

need help with linear algebra python-numpy
dm me if really you have a good skills in Lineal Algebra,
numpy and numerical analysis.

write in chat please, i will do a fast test so scammers not even try please.

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πŸ‘€︎ u/Illustrious_rjgr
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Bad science responsible for the "Brazilian Variant" panic - a numerical analysis

The panic for the "Brazilian Variant" started because a badly sampled sero-prevalence study of Manaus (2.2M inhabitants) had said that 75 % of the city had SARS-CoV-2 antibodies [1] and the so-called 'experts' believed that the city had already reached Herd Immunity Threshold (HIT); when the second (and current) wave happened and the hospitals and cemeteries started to fill again the 'experts' in their ivory towers jumped to say without evidence that the variant identified had to evade immunity to explain the surge in new cases and deaths (assuming that the HIT had actually been reached, ignoring that the second wave started in December where Latin families usually get together in reunions and parties because Christmas and New Year, ignoring that the same surge happened almost everywhere in Latin America and the rest of Brazil without that variant being in those places).

Simple math shows that to get to 75 % of infected in Manaus (1.65M people) there had to be 165 days having sustained 10,000 new infections per day, with 1/10 detected usually there had to be 1,000 cases detected per day for 5 Β½ months which simply didn't happen (the hospitals would have been overrun all that time) and at the end of the first wave Manaus had ~55k cases and 2662 deaths [2] by COVID-19 confirmed.

There's a Colombian city in the Amazon called Leticia (nice place, recommended to go do tourism) neighbor to Brazil (and actually their coronavirus outbreak started imported from Manaus via the Amazon river) with 49.7k inhabitants where a sero-prevalence study was well done [3] showing 59 % of population with antibodies, by the time it was done (30-Sept-2020) there had been 105 covid deaths giving an Infection Fatality Rate (IFR) of 0.358 % (10 times lower than the official figure in the country based on confirmed cases by the way, but in line with CDC estimates). Using the same IFR as Leticia for the deaths in Manaus by the time of the first wave it gives a total ~755k infections or 34 % of the population showing that the study published in Science overestimated the prevalence by a factor of 2.2 (also: with that IFR and the previous analysis there had to be about 36 deaths by coronavirus daily for 5 Β½ months uninterrupted to reach the 75 % infection prevalence, which didn't happen).

All this information is easily analyzed but the mainstream scientists in their push to "publish or perish" in journals are happy to continue pushing the "new variants are more

... keep reading on reddit ➑

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My first deep-dive into linear algebra and numerical analysis. An article describing how to write a C library that performs most of the "academical" algorithms for matrices (Row Echelon, Reduced Row Echelon, LU(P) Factorization, Inverse, Determinants, etc.) andreinc.net/2021/01/20/w…
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πŸ“…︎ Jan 22
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Any FB Chat or Discord for Math 128b, Numerical Analysis?

Hi,

This is a super tough class and I got no friends in it :(. Are there any group chats out there for this, plz 😭..

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Got back to C after a few years, and created my first C library: NML is a simple matrix library that implements various numerical analysis algorithms (Gauss Elimination, Gauss-Jordan, Gram-Schmidt, LU(P) Factorisation, etc.) github.com/nomemory/neat-…
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A numerical Analysis of the proposed clue change for TBL

TDLR at the bottom. Math follows, not hard math but math none the less.

TLDR#2: The only change that is equitable is giving everyone both relics. Improving the overall success of clues is QOL change that should happen in tandem with that. I've provided some analysis to show why below.

Good afternoon, I started off with a post about this on the discord and I've since expanded the data and thought this would be the best format to share it.

Preface; I took Treasure Seeker, I also took KAF with the knowledge that those three together gave me the greatest chance of completing higher level clues.

I'm also going to acknowledge that in the current format hard+ aren't very enjoyable to do and that is with the benefits of TS I can only imagine how much worse it is for US when you are relying on luck for drops.

All analysis is done based off the TBL Clues w/Calculator sheet, before any changes were made for Falo, etc. My assumptions are that this sheet was/is correct in terms of doable clues (I'm not certain it takes into account emote items).

*This summary is going to be based on KAF, as that is what I'm most familiar with, there are some data points for other region selections but less analysis on point disparity.*

When looking at points available directly relating to T4 relics, TS has 7,010 points and US has 5,110. On the surface this points to a large benefit for TS, however if you take out the points for tasks that would be reasonably completable by everyone, IE beginner clues, easy clues, one of medium etc (breakdown in spreadsheet, tried to be as fair as possible) the adjusted points available to TS is 5,300.

On the spreadsheet, and summarized below is based on the Wiki task list as of 11/14/2020. The number corresponds to the position within the list by tier/area. I will also say that I didn't include the task for a single superior but did include things like 100 Kraken kills as there is no guarantee as TS you get a Kraken task. Same with Sire, and Cerb, and Grotesque Guardians.

https://preview.redd.it/jbnzsk0gc9z51.png?width=685&format=png&auto=webp&s=3f17129f68c7bbaf34177a728907de2c78b45dac

Treasure Seeker buffed/benefitted tasks

Easy Medium Hard Elite Master
General/Multiple 76, 77, 78, 79, 80, 81 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79
... keep reading on reddit ➑

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πŸ‘€︎ u/archermanme
πŸ“…︎ Nov 14 2020
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[Classical mechanincs] Numerical analysis not giving me the right answer

Hello everyone,

Just to clarify this question is relevant to my uni work. However, I have already gotten it graded and this is just for my own sanity. If you have experience with Newtonian mechanics and c++ I would appreciate if you could tell me why my method was wrong.

You are given "Fnet=F+fcexp[βˆ’(t/tc)2]βˆ’fv*vβˆ’D" this equation to be the sum of every force in the relevant direction, this being horizontal. The equation is a model for the forces involved when running. The runners mass is 80kg.

*F=400 N

*fc=488 N

*tc=0.67 seconds

*fv=25.8

*v= is the speed given at a certain timeframe

*D=is the air's resistance. This is given to be: 0.5*ρ*C*A(1βˆ’0.25 exp[(t/tc)2])v^2

*p=1.293

*A=0.45

*C=1.2

That's all the context for the calculations, and the code is attached as a bunch of images because it looks very messy in text form.

My problem is that for 100 meters, which is the length of the run, I get that the runner used 9.3 seconds. That is apparently close, but not quite what I was supposed to get. Is there anyone here that is able and willing to help me?

Side note:

Here is the code in text if someone wants that.

#include <iostream>
#include <cmath> //Needed for pow()
#include <vector> //Needed to make a data structure

int main () {
    /*initializing every constant*/
    const double dt=0.01;    // delta t (s)
    const int n=30/dt; // We are looking at the runner in a timeframe of 30 seconds which means that. n is the number of data we will have, and therefore the length of our vector. 
    const double F=400.0; //The general driving force (N)
    const double f_c=488.0; //The force when the runner has a reduced area at the starting line (N)
    const double e=2.7182818; // Eulers number
    const double t_c=0.67; // How long it takes to fully stand up from the starting position (s)
    const double f_v=25.8; //The physiological consideration when considering that a human cannot run at high speeds indefinitely.
    const double p=1.293; //The air's density (kg/m^3)
    const double C_D=1.2; //The resistance coefficient
    const double A_0=0.45; //The runner's area (m^2)
    const double M=80.0; //The runner's mass (kg)
    
   
   /*initializing every vector*/
   std::vector<double> x (n, 0); // Making a vector for the position that is empty for now.
   std::vector<double> v (n, 0); //  Making a vector for t
... keep reading on reddit ➑

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πŸ“…︎ Feb 05
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Numerical Analysis/Methods Help WANTED

Need help with numerical analysis/methods homework. Need someone that has taken a course on this before and is 100% able to do this.

Sample topics are:

  • matlab
  • types of errors
  • approximations
  • roots of equations
  • Gaussian elimination
  • polynomial and spline interpolation
  • newton-cotes integration
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πŸ‘€︎ u/UWO_Vivo
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I am a Mathematics and Statistics tutor with more than 5 years of experience. I also have a Masters Degree in Statistics. Feel free to reach out to me for any questions you might have in precalculus, calculus, Geometry, probability, numerical analysis and others. I look forward to working with you!!
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Numerical analysis

Anyone took numerical analysis with Randall last semester?

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πŸ‘€︎ u/fortnie7564
πŸ“…︎ Jan 16
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NEED HELP? I WILL HELP YOU IN ALL ENGINEERING SUBJECTS, IN MIPS, VERILOG, VHDL TASKS AND IN ALL ELECTRICAL ENGINEERING SUBJECTS MATLAB PROJECTS, NUMERICAL ANALYSIS THROUGH PYTHON AND MATLAB. PYTHON, COMPUTER ARCHITECTURE, MULTISIMS, MICROPROCESSORS Exotic#7001

DISCORD : Exotic#7001

I will provide following in details.

Β· Verilog source code

Β· VHDL source code

Β· Schematic

Β· Truth tables

Β· Testbench

Β· Simulation results

Β· Self-testing/UVM based testing platforms

I will provide simulations in following software.

Xillinx Vivado

Xillinx ISE

ModelSim

QuartusII

ISim

GTKwave

eda simulator

Assembly Language

β€’ Computer Architecture MIPS

β€’ Digital Logic Design

β€’ Logosim

β€’ microprocessor

β€’ Verilog

β€’ MATLAB

β€’ multisim

β€’ packet tracer

β€’ Circuit Analysis

β€’ Basic Electrical Engineering and circuit Analysis

β€’ Embedded systems...Arduino, Node MCU

β€’ Numerical analysis with MATLAB and PYTHON

β€’ Moreover Included

β€’ SolidWorks

β€’ Autocad 2D and 3D projects

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πŸ‘€︎ u/Exotic_Put6895
πŸ“…︎ Mar 21
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The Derivative and Taylor series algorithm in my Numerical Analysis

Hello guys,

My professor asked me to make a derivative and Taylor series program in our numerical analysis subject. We can use math libraries such as sympy or NumPy but I want to make my program without depending on that libraries and I want to understand the logic behind what happens on the program as soon as possible. I do some research about derivatives and I found an algorithm or formula that close to accurate because have some point decimal errors in the program. to make it accurate, I round the answers in two decimal places but chopping numbers at 5 decimal places is all I want, and as I said, there is a little bit of error/difference to the actual answer to the answer of my program which I can't do shopping. I want to improve the formula and understand how it flows.

This is my program source code for derivative

In this formula, I don't understand why the h in the derivative formula (f(x+h) - f(x))/h assumes that the value of h is equal to 1/1000 and the answer is close to correct because some differences in decimal places value in the using the formula. Help me guys to understand this formula. Also you can suggest such formula/algorithm that are more accurate than this or suggest some stuff.

For those who doesn't understand my source code:

My function is : 1/(1-x)

Derivative function: 1/(1-x)^2

our input to our derivative function = 2

h = 1/1000

solution:

use the formula f'(2) = f(x+h) - f(x) / h

((1/(1-2.001)) - (1/(1-2))) / 1/1000

Answer:

The program's raw answer : 0.9990009990008542

program's rounded answer in two decimal places: 1.0

P.S

you can try to input wherever you like and the answer looks approximately/ closely to the answer.

Help me guys to understand this formula. Also you can suggest such formula/algorithm that are more accurate than this or suggest some stuff.

πŸ‘︎ 2
πŸ“°︎ r/learnmath
πŸ’¬︎
πŸ‘€︎ u/TheDark_Matter
πŸ“…︎ Feb 11
🚨︎ report

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