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 PHYSICAL PROBLEMS
 PHYSICAL PROBLEMS OF DIFFERENTIATION Chemical Engineering: How quickly does the slick spread requires requires differentiation. Choose a language: Maple|Mathcad|Mathematica|Matlab   Civil Engineering : Finding stress concentration around a hole in a plate requires requires differentiation. Choose a language: Maple|Mathcad|Mathematica|Matlab   Computer Engineering: Detecting edges of images requires differentiation. Choose a language: Maple|Mathcad|Mathematica|Matlab   Electrical Engineering: Avoiding arcing in switches requires differentiation. Choose a language: Maple|Mathcad|Mathematica|Matlab   General Engineering: Finding acceleration of a rocket from velocity requires differentiation. Choose a language: Maple|Mathcad|Mathematica|Matlab   Industrial Engineering: Reliability of manufactured parts over time requires differentiation. Choose a language: Maple|Mathcad|Mathematica|Matlab   Mechanical Engineering: How does thermal expansion coefficient vary at different temperatures requires differentiation. Choose a language: Maple|Mathcad|Mathematica|Matlab PHYSICAL PROBLEMS OF NONLINEAR EQUATIONS  Chemical Engineering: Having been asked to develop a scale to measure the volume of oil in a spherical tank requires the solution of a nonlinear equation. Choose your language: Maple|Mathcad|Mathematica|Matlab   Civil Engineering: How do you find the maximum sagging in a bookshelf?  Using strength of materials and statics fundamentals, see how the problem results in a nonlinear equation.  Choose your language: Maple|Mathcad|Mathematica|Matlab   Computer Engineering: Supercomputers skip on a divide unit to be more efficient.  To find the inverse of a real number, they solve a nonlinear equation without using division. Choose your language: Maple|Mathcad|Mathematica|Matlab   Electrical Engineering: Thermistor are temperature measuring devices based on that resistance of materials changes with temperature.  To find whether the resistor is calibrated properly, one needs to solve a problem of a nonlinear equation. Choose your language: Maple|Mathcad|Mathematica|Matlab   General Engineering: The float in a commode submerges to a certain depth in water.  Using Newton's third law of motion and Archimedes principle, this problem of finding the depth to which the float submerges results in a nonlinear equation. Choose your language: Maple|Mathcad|Mathematica|Matlab   Industrial Engineering:  A Mom and Pop shop wants to find the number of computers they would have to sell if they want to break even.  Modeling this problem requires solution of a nonlinear equation. Choose your language: Maple|Mathcad|Mathematica|Matlab   Mechanical Engineering: To shrink fit a cylinder into a hollow hub, the cylinder needs to be cooled down.  To find out how much cooling needs to be done, you need to solve a nonlinear equation.  Choose your language:  Maple|Mathcad|Mathematica|Matlab
 PHYSICAL PROBLEMS OF SIMULTANEOUS LINEAR EQUATIONS Chemical Engineering: Liquid- Liquid Extraction requires the solution of simultaneous linear equation. Choose your language: Maple|Mathcad|Mathematica|Matlab   Civil Engineering: How much pressure can a compounded cylinder take results in requiring solution of simultaneous linear equations. Choose your language: Maple|Mathcad|Mathematica|Matlab   Computer Engineering: To infer the surface shape from images requires solution of simultaneous linear equations. Choose your language: Maple|Mathcad|Mathematica|Matlab   Electrical Engineering: Finding the unbalance in a 3-phase system requires solution of simultaneous linear equations. Choose your language: Maple|Mathcad|Mathematica|Matlab   General Engineering: Finding the velocity of a rocket requires solution of simultaneous linear equations. Choose your language: Maple|Mathcad|Mathematica|Matlab   Industrial Engineering: Maximizing the production schedule requires solution of simultaneous linear equations. Choose your language: Maple|Mathcad|Mathematica|Matlab   Mechanical Engineering: Finding constants of a regression model for coefficient of thermal expansion vs temperature requires solution of simultaneous linear equations. Choose your language:  Maple|Mathcad|Mathematica|Matlab
 PHYSICAL PROBLEMS OF INTERPOLATION Chemical Engineering: A physical problem of finding how much time it would take water to boil in a kettle. It requires interpolating specific heat of saturated water vs. temperature data. Choose a language: Maple|Mathcad|Mathematica|Matlab   Civil Engineering:  Bass fishing never got so technical. Find how interpolation can help you to have a great catch and let you tell others a true fish story. Choose a language: Maple|Mathcad|Mathematica|Matlab   Computer Engineering: A robot arm path needs to be developed over several points on a flat plate. The interpolated path needs to be smooth to avoid sudden jerky motion and at the same time needs to be short.  Choose a language: Maple|Mathcad|Mathematica|Matlab   Electrical Engineering: Thermistors measure temperature based on the principle that resistance of thermistor material changes with temperature. Hence, a manufacturer supplies a resistance vs. temperature calibration curve and it is developed using interpolation. Choose a language: Maple|Mathcad|Mathematica|Matlab   General Engineering: The upward velocity of a rocket is given as a function of time. To find the velocity of the rocket at some other time, the problem requires interpolation. Choose the preferred computational system - Choose a language: Maple|Mathcad|Mathematica|Matlab   Industrial Engineering: To program a milling machine to make a cam profile, one needs to use interpolation to develop the path of the profile. Choose a language: Maple|Mathcad|Mathematica|Matlab   Mechanical Engineering: Find the thermal expansion coefficient of steel at a specific temperature to find out whether a steel shaft will cool down enough to shrink fit into a hollow hub. The thermal expansion coefficient is to be found by using interpolation from a given table of thermal expansion coefficient of steel as a function of temperature. Choose a language: Maple|Mathcad|Mathematica|Matlab
 PHYSICAL PROBLEMS OF REGRESSION Chemical Engineering: Interpreting infraraed spectroscopy requires regression. Choose a language: Maple|Mathcad|Mathematica|Matlab   Civil Engineering: Finding the longitudinal Young's modulus of a composite requires regression. Choose a language: Maple|Mathcad|Mathematica|Matlab   Computer Engineering: Extraction of road networks in images requires regression. Choose a language: Maple|Mathcad|Mathematica|Matlab   Electrical Engineering: Finding the appropriate value of resistance requires regression. Choose a language: Maple|Mathcad|Mathematica|Matlab   General Engineering: Finding the best mousetrap for a mousetrap car requires regression. Choose a language: Maple|Mathcad|Mathematica|Matlab   Industrial Engineering: When should  machine be stopped requires regression. Choose a language:  Maple|Mathcad|Mathematica|Matlab   Mechanical Engineering: Calculating the contraction of a trunnion requires regression. Choose a language:  Maple|Mathcad|Mathematica|Matlab
 PHYSICAL PROBLEMS OF INTEGRATION Chemical Engineering: What is time required for oxygen to be consumed in the fuel cell? One of the problems affecting the performance and hence commercialization of the direct methanol fuel cell (DMFC) is the depolarization of the oxygen reduction electrode caused by methanol cross-over. In an attempt to understand the mechanism of the depolarization process, an electro-kinetic model for mixed oxygen-methanol current on platinum requires integration of a function. Choose a language: Maple|MathCAD|MATHEMATICA|MATLAB  Civil Engineering: In a class X528 wells, you need to use integration to  find if the concentration of benzene is below the toxicity level at a certain distance from the point of contamination.  Choose a language: Maple| MathCAD| MATHEMATICA| MATLAB  Computer Engineering: To infer the surfaces from vector fields requires integration. Choose a language: Maple | Mathcad | MATHEMATICA | MATLAB  Electrical Engineering: All electrical components, especially off-the-shelf components do not match their nominal value. Variations in materials and manufacturing as well as operating conditions can affect their value. Suppose a circuit is designed such that it requires a specific component value, how confident can we be that the variation in the component value will result in acceptable circuit behavior? To solve this problem a probability density function will need to be integrated to determine the confidence interval. Choose a language: Maple| MathCAD| MATHEMATICA| MATLAB.  General Engineering: The upward velocity of a rocket is given as a function of time. To find the distance covered by the rocket from lift off requires integration.  Choose a language: Maple | MathCAD | MATHEMATICA| MATLAB.  Industrial Engineering: Are there as many tissues as advertised in the toilet paper roll?  To find the probability of the number of tissues to be less than advertised, one needs to use integrate a function. Choose a language: Maple | MathCAD | MATHEMATICA | MATLAB.  Mechanical Engineering: To find how much a steel shaft will contract so that it can be shrink fit into a hollow hub, we need to use integration of a thermal expansion vs. temperature curve.  Choose a language: Maple | MathCAD | MATHEMATICA | MATLAB.
 PHYSICAL PROBLEMS OF ORDINARY DIFFERENTIAL EQUATIONS Chemical Engineering: Controlling sodium chloride waste while making soap requires the solution of an ordinary differential equation. Choose a language: Maple|Mathcad|Mathematica|Matlab   Civil Engineering: When is it safe to go in the lake after a pollutant has exceeded its limit requires the solution of an ordinary differential equation. Choose a language: Maple|Mathcad|Mathematica|Matlab   Computer Engineering: Transient analysis of resistor-capacitor system requires the solution of an ordinary differential equation. Choose a language: Maple|Mathcad|Mathematica|Matlab   Electrical Engineering: Sizing a rectifier-based power supply requires the solution of an ordinary differential equation. Choose a language: Maple|Mathcad|Mathematica|Matlab   General Engineering: How much time will it take a heated ball to cool down requires the solution of an ordinary differential equation. Choose a language: Maple|Mathcad|Mathematica|Matlab   Industrial Engineering: Speed Control of DC motors requires the solution of an ordinary differential equation. Choose a language: Maple|Mathcad|Mathematica|Matlab   Mechanical Engineering: Finding how much time it would take for a cylinder to cool down for shrink fitting requires the solution of an ordinary differential equation. Choose a language:  Maple|Mathcad|Mathematica|Matlab
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