Uses Of Calculus is Computer Science
- 1. Uses of Calculus in Computer Science & Engineering Welcome to our presentation on,
- 3. 5 General Areas of Use Graphing and Visuals Applications to Solve Problems Coding Binary Calculus Information processing
- 4. People use calculus in creating visuals or graphs. Often the graphs/visuals are 3D. 0 5 Series 1 Series 2 Series 3 They are used often for video games, especially physics engines. Physics engines define the physics in the game such as gravity, friction, etc. Graphs and Visuals
- 5. Architects use them for graphing buildings, outlines, etc. The military uses these visuals for simulations, flight and artillery paths, maps, satellite images, etc.
- 6. Applications to Solve Problems They use calculus for general problem solving applications, simulations, and physics engines. Physics engines create realistic situations in video games and probablity simulations.
- 7. The simulations they use calculas to calculate probabilty. The computer is used to solve these calculus problems rather than the programmer using it themselves.
- 8. Coding In applications for solving problems, the basic formula is generally used as well. -For a derivative application, thederivative formula is incorporated. -For an integral application, the integralset up is used. -For probablity applications, the probabilty formulas are used.
- 9. The very simple outline of a code is: Class integral (){ Import java.util.Scanner; Main(){ Scanner reader = new Scanner(System.in)j string equation = retrieveInfo();//retrieve the equation and store it in a string System.out.println(“Please enter the value for x”); double xVal = reader.nextInt(); double solution = solve(equation,xVal); System.out.println(“The value for your definite integral is ” + solution); }
- 10. Binary Calculus The binairy arithmatic or calculus is invented by Leibnitz around 1694 and is presumed to be the first one working with this idea. It is a number system comprised of only ones and zeros that the computer uses to follow instructions and save data. In the binairy system only two digits are used: 0 and 1. Hence the binary (two some) system. And yet it is possible to express any number in binary. This system has become the basis on which the entire computer industry is based.
- 11. Most computers of available now calculate with registers of 64 or 32 digits. But in a few years this will be 128 or higher. Since we deal with a binary system there is nothing else left than 0 and 1. There is no symbol for 2 or 3 or 4 here. But the binary system is also a positional system and you can just count on: like two will become 10, there will be 11 etc. Counting can now be done by a computer. The only thing man had to invent is how to calculate beyond 0 and 1. Thus became the register and it was possible to expand the amount of digits beyond 2.
- 12. Information Processing Computer programmers use this in creating statistic solvers, probabilty, and simulations. Scientific computing: . Computer algebra systems that compute integrals and derivatives directly,either symbolically or numerically, are the most blatant examples here.
- 13. Design and analysis of algorithms: . The behavior of a combinatorial algorithm on very large instances is often most easily analyzed using calculus. This is especially true for randomized algorithms; modern probability theory is heavily analytic. Asymptotic enumeration: . Sometimes the only way to get a handle on an enumeration problem is to form a generating function and use analytic methods to estimate its asymptotic behavior.