Could someone tell me about some applications of differential calculus and linear algebra to Economics?
Q. If you know any, I would like to know them (how can I apply vectors, planes, straight lines, tangent planes and lines, matrices, limits, sinlgle and multiple variable derivatives or any other concept contained in the 'mainstream' of linear algebra and differential calculus.
Asked by yei - Sat Nov 22 15:12:22 2008 - - 1 Answers - 0 Comments
A. In economics, you are very often concerned with how one variable relates to another. For example, how the quantity (of a good) demanded in the market is affected by the price of the good. Or, how the quantity of a good produced is affected by the amount of some resource input. Obviously, you can graph these relationships. Depending whether the relationships can be represented by straight lines or a curves, you'd need algebra or calculus. At the PhD level, there's no telling what crazy math someone might try to use to model reality, but for the most part you'd rarely need to go beyond Calculus II.
Answered by RCM - Sat Nov 22 21:31:21 2008
Q. If you know any, I would like to know them (how can I apply vectors, planes, straight lines, tangent planes and lines, matrices, limits, sinlgle and multiple variable derivatives or any other concept contained in the 'mainstream' of linear algebra and differential calculus.
Asked by yei - Sat Nov 22 15:12:22 2008 - - 1 Answers - 0 Comments
A. In economics, you are very often concerned with how one variable relates to another. For example, how the quantity (of a good) demanded in the market is affected by the price of the good. Or, how the quantity of a good produced is affected by the amount of some resource input. Obviously, you can graph these relationships. Depending whether the relationships can be represented by straight lines or a curves, you'd need algebra or calculus. At the PhD level, there's no telling what crazy math someone might try to use to model reality, but for the most part you'd rarely need to go beyond Calculus II.
Answered by RCM - Sat Nov 22 21:31:21 2008
What is the role of "Approximation and refine" in both differential and integral calculus?
Q. I need help on my calculus...It says to " Discuss the role of "Approximation and refine" in both differential and integral calculus. Provide two examples..." If differential calc is finding the slope of a specific point along a curve and integral calc is the opposite...finding the area between the curve and the X-axis...I just dont get it! Please someone help!
Asked by casey - Tue Dec 11 19:25:23 2007 - - 1 Answers - 0 Comments
A. One way to think about "taking a limit" is as the ultimate step in a series of refinements. E.g., if you are taking the limit as h -> 0, you can think of this as taking smaller and smaller and smaller values of h. (Indeed, if you take a more advanced course, you will see that the epsilon-delta definition of a limit is equivalent to considering all sequences that converge to the point. But that can wait a couple years!) So, if you think back to how you constructed the definition of derivative, it was by taking a secant line and letting the horizontal length go to zero. For integrals, you sliced a region into a bunch of little wedges (rectangles or trapezoids, most likely), and let the width of the wedges go to zero. In each case, you're [cont.]
Answered by jeredwm - Tue Dec 11 19:48:09 2007
Q. I need help on my calculus...It says to " Discuss the role of "Approximation and refine" in both differential and integral calculus. Provide two examples..." If differential calc is finding the slope of a specific point along a curve and integral calc is the opposite...finding the area between the curve and the X-axis...I just dont get it! Please someone help!
Asked by casey - Tue Dec 11 19:25:23 2007 - - 1 Answers - 0 Comments
A. One way to think about "taking a limit" is as the ultimate step in a series of refinements. E.g., if you are taking the limit as h -> 0, you can think of this as taking smaller and smaller and smaller values of h. (Indeed, if you take a more advanced course, you will see that the epsilon-delta definition of a limit is equivalent to considering all sequences that converge to the point. But that can wait a couple years!) So, if you think back to how you constructed the definition of derivative, it was by taking a secant line and letting the horizontal length go to zero. For integrals, you sliced a region into a bunch of little wedges (rectangles or trapezoids, most likely), and let the width of the wedges go to zero. In each case, you're [cont.]
Answered by jeredwm - Tue Dec 11 19:48:09 2007
Is "Differential Calculus" the same as "Calculus I" (as a college course name)?
Q. I go to a private university and was planning on taking Calc 1 this past spring semester. Something happened and I couldn't, so now I'm looking to take the same basic course this summer (but at a community college because my private university is too small to have summer courses)... the only Calculus course this community college has listed is called "Differential Calculus"... is this the same thing as "Calculus I" or not? Same basic things taught in it?
Asked by one x sweet - Mon Jun 2 02:10:18 2008 - - 1 Answers - 0 Comments
A. If by differntial calc it means differential equations, then it is MUCH more advanced than regular calc. It is about 4-5 courses of calc after the first one in most universities. Generally, you do something like Differentiation, Integration, Multivariable calc, Vector calc, Linear Algebra and then finally Differential Equations. If on the other hand it means simple differentiation then that's another matter entirely. You need to look at the description of the course at the community college before you can decide. If in doubt, call up the student advisor at the college.
Answered by kingdom_of_gold - Mon Jun 2 02:19:33 2008
Q. I go to a private university and was planning on taking Calc 1 this past spring semester. Something happened and I couldn't, so now I'm looking to take the same basic course this summer (but at a community college because my private university is too small to have summer courses)... the only Calculus course this community college has listed is called "Differential Calculus"... is this the same thing as "Calculus I" or not? Same basic things taught in it?
Asked by one x sweet - Mon Jun 2 02:10:18 2008 - - 1 Answers - 0 Comments
A. If by differntial calc it means differential equations, then it is MUCH more advanced than regular calc. It is about 4-5 courses of calc after the first one in most universities. Generally, you do something like Differentiation, Integration, Multivariable calc, Vector calc, Linear Algebra and then finally Differential Equations. If on the other hand it means simple differentiation then that's another matter entirely. You need to look at the description of the course at the community college before you can decide. If in doubt, call up the student advisor at the college.
Answered by kingdom_of_gold - Mon Jun 2 02:19:33 2008
Where can I find Differential calculus examples that are most used @ books?
Q. Thanks.
Asked by Chris - Mon Aug 17 03:17:27 2009 - - 2 Answers - 0 Comments
Q. Thanks.
Asked by Chris - Mon Aug 17 03:17:27 2009 - - 2 Answers - 0 Comments
what is winter theorem in differential calculus?
Q. I need the theorem solved, as its important for my upcoming exams. can anyone please help me?
Asked by pvibhash - Fri May 16 13:41:38 2008 - - 4 Answers - 0 Comments
A. I searched in search engines and could not any clue to such a theorem existing. I have also taught XII Grade calculus for 18 years and never came across it.
Answered by Madhukar Daftary - Fri May 16 13:56:53 2008
Q. I need the theorem solved, as its important for my upcoming exams. can anyone please help me?
Asked by pvibhash - Fri May 16 13:41:38 2008 - - 4 Answers - 0 Comments
A. I searched in search engines and could not any clue to such a theorem existing. I have also taught XII Grade calculus for 18 years and never came across it.
Answered by Madhukar Daftary - Fri May 16 13:56:53 2008
Differential calculus question this time with more than 2 variables to differentiate?
Q. the lower edge of a picture is "A" ft. the upper edge "B" ft above the eye of an observer...at what horizontal distance should he stand, if the vertical angle subtended by the picture is to be greatest?
Asked by gravitationalrdreadnought - Tue Oct 6 08:48:21 2009 - - 0 Answers - 0 Comments
Q. the lower edge of a picture is "A" ft. the upper edge "B" ft above the eye of an observer...at what horizontal distance should he stand, if the vertical angle subtended by the picture is to be greatest?
Asked by gravitationalrdreadnought - Tue Oct 6 08:48:21 2009 - - 0 Answers - 0 Comments
How do you prove the power rule of differential calculus for non-integer exponents?
Q. How do you prove the power rule of differential calculus for non-integer exponents?
Asked by CogitoErgoCogitoSum - Wed Oct 15 17:56:41 2008 - - 2 Answers - 0 Comments
A. Usually in a calculus course we don't attempt this until we have learned the derivative of the exponential function. Then it goes something like this: d/dx(x^p)=d/dx(e^(plnx)) (Here we used basic logarithm properties) =e^(plnx)(p/x) (Chain Rule) =(x^p)(p/x) =p(x^p)/x =px^(p-1)
Answered by mathprofrockstar - Wed Oct 15 18:05:19 2008
Q. How do you prove the power rule of differential calculus for non-integer exponents?
Asked by CogitoErgoCogitoSum - Wed Oct 15 17:56:41 2008 - - 2 Answers - 0 Comments
A. Usually in a calculus course we don't attempt this until we have learned the derivative of the exponential function. Then it goes something like this: d/dx(x^p)=d/dx(e^(plnx)) (Here we used basic logarithm properties) =e^(plnx)(p/x) (Chain Rule) =(x^p)(p/x) =p(x^p)/x =px^(p-1)
Answered by mathprofrockstar - Wed Oct 15 18:05:19 2008
Who published the first textbook on differential calculus?
Q. Who published the first textbook on differential calculus?
Asked by pawan k - Fri Oct 13 19:23:09 2006 - - 3 Answers - 0 Comments
A. The first known textbook on differential calculus was published in 1696 by Guillaume Francois Antoine Marquis de l'Hopital.. It was called L'Analyse des Infiniment Petits pour l'Intelligence des Lignes Courbes. What we know now as "calculus" was probably first used by a Middle Eastern astronomer named Aryabhata in 499. Newton and Leibnitz also had a big debate in the 17th century as to who actually invented calculus. But it is l'Hopital who is credited with the first published text on calculus.
Answered by the - Fri Oct 13 20:33:28 2006
Q. Who published the first textbook on differential calculus?
Asked by pawan k - Fri Oct 13 19:23:09 2006 - - 3 Answers - 0 Comments
A. The first known textbook on differential calculus was published in 1696 by Guillaume Francois Antoine Marquis de l'Hopital.. It was called L'Analyse des Infiniment Petits pour l'Intelligence des Lignes Courbes. What we know now as "calculus" was probably first used by a Middle Eastern astronomer named Aryabhata in 499. Newton and Leibnitz also had a big debate in the 17th century as to who actually invented calculus. But it is l'Hopital who is credited with the first published text on calculus.
Answered by the - Fri Oct 13 20:33:28 2006
Please help me on a calculus differential problem ?
Q. If the tolerance on the volume of a cube is a 2% error then what should the tolerance be fore each side? So what i did was V=x^3 dV = 3x^2 dx dV/V = 2% What should I do next? the answer is 2/3% but I don't know how it works. Thanks.
Asked by achoo - Mon Nov 3 22:49:02 2008 - - 2 Answers - 0 Comments
A. dV / V = 0.02 find dx / x = ? dV = 3 x^2 dx divide left side by V and the right side by x^3 since V=x^3 dV / V = 3x^2 dx / (x^3) 0.02 = 3 dx / x dx / x = 0.02 / 3 2/3 %
Answered by MATH L8Y - Mon Nov 3 22:56:16 2008
Q. If the tolerance on the volume of a cube is a 2% error then what should the tolerance be fore each side? So what i did was V=x^3 dV = 3x^2 dx dV/V = 2% What should I do next? the answer is 2/3% but I don't know how it works. Thanks.
Asked by achoo - Mon Nov 3 22:49:02 2008 - - 2 Answers - 0 Comments
A. dV / V = 0.02 find dx / x = ? dV = 3 x^2 dx divide left side by V and the right side by x^3 since V=x^3 dV / V = 3x^2 dx / (x^3) 0.02 = 3 dx / x dx / x = 0.02 / 3 2/3 %
Answered by MATH L8Y - Mon Nov 3 22:56:16 2008
What are the prerequisites for differential calculus?
Q. What are the prerequisites for differential calculus?
Asked by Jakey D - Wed Jul 15 07:50:24 2009 - - 5 Answers - 0 Comments
A. I don't know what Kevin exactly means by pre-calc, but there was no such thing when I was in high school nor for another twenty years and we didn't miss out on anything. He's right that you need Algebra 1 Algebra 2 Plane Geometry Trig and I would add on Analytic Geometry unless, as was the case when I took calc, the course included Analytic Geometry. The courses were called "Calculus with Analytic Geometry" and the sequence under that name went on for three semesters. I know that pre-calc lasts a year and outside of no more than two months of Analytic Geometric I can't believe that it's anything but a review course. Analytic Geometry took up a whole 30 pages in my calculus books total. There's no way that can last for a full year. … [cont.]
Answered by Gerry - Wed Jul 15 12:29:29 2009
Q. What are the prerequisites for differential calculus?
Asked by Jakey D - Wed Jul 15 07:50:24 2009 - - 5 Answers - 0 Comments
A. I don't know what Kevin exactly means by pre-calc, but there was no such thing when I was in high school nor for another twenty years and we didn't miss out on anything. He's right that you need Algebra 1 Algebra 2 Plane Geometry Trig and I would add on Analytic Geometry unless, as was the case when I took calc, the course included Analytic Geometry. The courses were called "Calculus with Analytic Geometry" and the sequence under that name went on for three semesters. I know that pre-calc lasts a year and outside of no more than two months of Analytic Geometric I can't believe that it's anything but a review course. Analytic Geometry took up a whole 30 pages in my calculus books total. There's no way that can last for a full year. … [cont.]
Answered by Gerry - Wed Jul 15 12:29:29 2009
How to solve first-Order IVP upon inspection -differential calculus?
Q. Okay the problem states That I need to find at least two possible solutions of the given first order IVP upon inspection y'=3y^(2/3) y(0)=0 No idea how I'm supposed to give a solution just upon inspection. very confused please help! :D
Asked by bubbles_bayb - Thu Aug 28 13:57:43 2008 - - 1 Answers - 0 Comments
A. I'm not sure how you could solve the equation upon inspection, but one solution I see that is very obvious based on the initial values. Note that 3(0)^(2/3) = 0. Thus the function could never increase of decrease. Y would remain constant, and the slope of the function constant; this implies Y = 0 for all values of the independent variable for this initial value.
Answered by Jeremy D - Thu Aug 28 14:04:36 2008
Q. Okay the problem states That I need to find at least two possible solutions of the given first order IVP upon inspection y'=3y^(2/3) y(0)=0 No idea how I'm supposed to give a solution just upon inspection. very confused please help! :D
Asked by bubbles_bayb - Thu Aug 28 13:57:43 2008 - - 1 Answers - 0 Comments
A. I'm not sure how you could solve the equation upon inspection, but one solution I see that is very obvious based on the initial values. Note that 3(0)^(2/3) = 0. Thus the function could never increase of decrease. Y would remain constant, and the slope of the function constant; this implies Y = 0 for all values of the independent variable for this initial value.
Answered by Jeremy D - Thu Aug 28 14:04:36 2008
Has anyone had success tutoring students who have found calculus and differential equations difficult?
Q. What would be a fair rate of pay for a tutor? How much time would, say, a chapter take to do? Is advanced math something that lends itself to tutoring?
Asked by sunrayman123 - Wed Jun 6 20:59:07 2007 - - 2 Answers - 0 Comments
A. I don't tutor them, I am their instuctor! I teach math at a university and you can be very successful as a tutor as long as you are willing to be encouraging. Also, don't have any writing instruments in your hands! The student should be doing all the writing and you are the coach. Otherwise the student does not "learn" and they end up failing the test even through they spent a thousand hours with their tutor. Rate of pay? Depends where you live and your degree. A chapter can take 10 minutes or 10 hours depending on how much time the student has previously spent preparing and the difficulty of the material. Any math subject lends itself to tutoring.
Answered by piggy30 - Wed Jun 6 21:07:34 2007
Q. What would be a fair rate of pay for a tutor? How much time would, say, a chapter take to do? Is advanced math something that lends itself to tutoring?
Asked by sunrayman123 - Wed Jun 6 20:59:07 2007 - - 2 Answers - 0 Comments
A. I don't tutor them, I am their instuctor! I teach math at a university and you can be very successful as a tutor as long as you are willing to be encouraging. Also, don't have any writing instruments in your hands! The student should be doing all the writing and you are the coach. Otherwise the student does not "learn" and they end up failing the test even through they spent a thousand hours with their tutor. Rate of pay? Depends where you live and your degree. A chapter can take 10 minutes or 10 hours depending on how much time the student has previously spent preparing and the difficulty of the material. Any math subject lends itself to tutoring.
Answered by piggy30 - Wed Jun 6 21:07:34 2007
what is the significance of differential calculus in civil engineering?
Q. what is the significance of differential calculus in civil engineering?
Asked by ai-van - Sat Sep 9 21:45:01 2006 - - 3 Answers - 0 Comments
A. Differential equations pop up everywhere in all fields of engineering. To solve differential equations you need to know calculus. Two examples of problems that you will encounter in civil that involve differential equations are: When you are designing any type of structure you will want to figure out what will happen to that structure when you apply a load (weight) at various points. One thing that happens is that the structure will deform. Usually you will know the rate of deformation as a function of stress/strain and to solve for the total deformation you will need solve a system of differential equations. Another example is, you want to build an large building that can withstand earthquakes. In order to do this you basically use… [cont.]
Answered by sparrowhawk - Sun Sep 10 00:15:07 2006
Q. what is the significance of differential calculus in civil engineering?
Asked by ai-van - Sat Sep 9 21:45:01 2006 - - 3 Answers - 0 Comments
A. Differential equations pop up everywhere in all fields of engineering. To solve differential equations you need to know calculus. Two examples of problems that you will encounter in civil that involve differential equations are: When you are designing any type of structure you will want to figure out what will happen to that structure when you apply a load (weight) at various points. One thing that happens is that the structure will deform. Usually you will know the rate of deformation as a function of stress/strain and to solve for the total deformation you will need solve a system of differential equations. Another example is, you want to build an large building that can withstand earthquakes. In order to do this you basically use… [cont.]
Answered by sparrowhawk - Sun Sep 10 00:15:07 2006
When would I use Differential Equations and Calculus in real-world situations?
Q. give examples.
Asked by nerris121 - Tue Dec 18 22:58:44 2007 - - 6 Answers - 0 Comments
A. Natural processes are described with remarkable accuracy by differential equations - so, whenever you want to model something in the observable universe, you use differential equations.
Answered by jgoulden - Tue Dec 18 23:02:08 2007
Q. give examples.
Asked by nerris121 - Tue Dec 18 22:58:44 2007 - - 6 Answers - 0 Comments
A. Natural processes are described with remarkable accuracy by differential equations - so, whenever you want to model something in the observable universe, you use differential equations.
Answered by jgoulden - Tue Dec 18 23:02:08 2007
Calculus: Can someone solve this differential equation by separation of variables?
Q. dy/dx = x y cos^2 y It is supposed to be x times the square root of y times cos squared of the square root of y. Any help or steps in solving this problem would be greatly appreciated.
Asked by yahoouser123 - Fri Feb 20 19:11:16 2009 - - 2 Answers - 0 Comments
A. okay so the premise of separable variables is that dy is on the left side and dx are on the right so dy/dx = x y^.5 cos^2 y^.5 so y^-.5 sec^2 y^.5 dy = x dx u = y^.5 du = .5 y^-.5 sec^2 u du = x dx int (sec^2 u du) = int (x dx) + C tan u = .5x^2 + C tan y^.5 = .5x^2 + C y = arctan^2 (.5x^2 + C)
Answered by Taen - Sat Feb 21 00:24:02 2009
Q. dy/dx = x y cos^2 y It is supposed to be x times the square root of y times cos squared of the square root of y. Any help or steps in solving this problem would be greatly appreciated.
Asked by yahoouser123 - Fri Feb 20 19:11:16 2009 - - 2 Answers - 0 Comments
A. okay so the premise of separable variables is that dy is on the left side and dx are on the right so dy/dx = x y^.5 cos^2 y^.5 so y^-.5 sec^2 y^.5 dy = x dx u = y^.5 du = .5 y^-.5 sec^2 u du = x dx int (sec^2 u du) = int (x dx) + C tan u = .5x^2 + C tan y^.5 = .5x^2 + C y = arctan^2 (.5x^2 + C)
Answered by Taen - Sat Feb 21 00:24:02 2009
I need help with this calculus Differential Equation in Calculus?
Q. Determine which functions are solutions of linear differential equations. y'' +4y' + 4y = 0 Prove xe^-2x is one Prove x^2 e^-2x is not one Thank you, I know that I am really confused to take the dirivitives when I plug them in. Thank you
Asked by somethingbetter182 - Sat Jun 21 13:35:56 2008 - - 3 Answers - 0 Comments
A. You have to differentiate each, and plug them in and see if they work. In other words, y = xe^{-2x} so y' = -2xe^{-2x} + e^{-2x}. (product rule) Now calculate y". Then plug these into the equation and see if you get 0 like the right hand side of the equation says. For example, if your equation were y'' - y = 0 instead, it turns out that y=e^{-x} is a solution. This is because y = e^{-x} y' = - e^{-x} y" = e^{-x} Plugging these into the above equation we get e^{-x} - e^{-x} = 0 which is obviously true. To prove something is not a solution, you plug in the derivatives and show that the equation does not work, ie. in this case that you don't get zero.
Answered by DrTodd - Sat Jun 21 13:51:10 2008
Q. Determine which functions are solutions of linear differential equations. y'' +4y' + 4y = 0 Prove xe^-2x is one Prove x^2 e^-2x is not one Thank you, I know that I am really confused to take the dirivitives when I plug them in. Thank you
Asked by somethingbetter182 - Sat Jun 21 13:35:56 2008 - - 3 Answers - 0 Comments
A. You have to differentiate each, and plug them in and see if they work. In other words, y = xe^{-2x} so y' = -2xe^{-2x} + e^{-2x}. (product rule) Now calculate y". Then plug these into the equation and see if you get 0 like the right hand side of the equation says. For example, if your equation were y'' - y = 0 instead, it turns out that y=e^{-x} is a solution. This is because y = e^{-x} y' = - e^{-x} y" = e^{-x} Plugging these into the above equation we get e^{-x} - e^{-x} = 0 which is obviously true. To prove something is not a solution, you plug in the derivatives and show that the equation does not work, ie. in this case that you don't get zero.
Answered by DrTodd - Sat Jun 21 13:51:10 2008
Why does my friend enjoy solving differential/integral calculus, when clearly, others (including me) don't?
Q. Why does my friend enjoy solving differential/integral calculus, when clearly, others (including me) don't?
Asked by King Edmund the Just - Wed Jan 23 16:20:16 2008 - - 5 Answers - 0 Comments
A. Your friend enjoys it and you don't for the simple and glorious reason that every human being is unique.
Answered by michele - Wed Jan 23 16:25:03 2008
Q. Why does my friend enjoy solving differential/integral calculus, when clearly, others (including me) don't?
Asked by King Edmund the Just - Wed Jan 23 16:20:16 2008 - - 5 Answers - 0 Comments
A. Your friend enjoys it and you don't for the simple and glorious reason that every human being is unique.
Answered by michele - Wed Jan 23 16:25:03 2008
calculus differential equations equation of curve?
Q. If asked to find an equation of the curve that passes through the point (2, -1/3) and whose slope at any point (x,y) is y^2 x, what two equations are known from the given information? b) solve the initial value problem please help!
Asked by mitchel l - Sun Apr 12 20:11:06 2009 - - 1 Answers - 0 Comments
A. a) The two equations are: y(2) = -1/3 dy/dx = y^2 x b) We can rearrange this into dy/y^2 = x dx or integral dy/y^2 = integral x dx -1/y = x^2/2 + C (an arbitrary constant) y = -2/(x^2 + 2C) y(2) = -2/(4 + 2C) y(2) = -1/3 (initial value) So -2/(4 + 2C) = -1/3 4 + 2C = 6 C = 1 So the solution to the initial value problem is y = -2/(x^2 + 2)
Answered by chauncy - Mon Apr 13 08:49:22 2009
Q. If asked to find an equation of the curve that passes through the point (2, -1/3) and whose slope at any point (x,y) is y^2 x, what two equations are known from the given information? b) solve the initial value problem please help!
Asked by mitchel l - Sun Apr 12 20:11:06 2009 - - 1 Answers - 0 Comments
A. a) The two equations are: y(2) = -1/3 dy/dx = y^2 x b) We can rearrange this into dy/y^2 = x dx or integral dy/y^2 = integral x dx -1/y = x^2/2 + C (an arbitrary constant) y = -2/(x^2 + 2C) y(2) = -2/(4 + 2C) y(2) = -1/3 (initial value) So -2/(4 + 2C) = -1/3 4 + 2C = 6 C = 1 So the solution to the initial value problem is y = -2/(x^2 + 2)
Answered by chauncy - Mon Apr 13 08:49:22 2009
Can I take Differential Equations without having taken Calculus II or III?
Q. Assuming that my school will waive the pre-requisites, would you say that i wouldn't be horribly lost in the class? Calc II and III are full. I'm pretty smart, and I like math, and I have the Calc I down completely.
Asked by jopopipah - Mon Jun 1 10:11:19 2009 - - 2 Answers - 0 Comments
A. Differential Equations is mostly (90%+) Calc II and you should only take it if you understand Calc II. There is very little Calc III - only Exact DEs and PDEs use partial derivatives, a calc III topic. If you find calc easy (look at textbooks/online) you can quickly teach yourself it. I taught myself the bulk of Calc II in less than a week. If there are 2 topics you must know they are integration by substitution and by parts. Depending on the teacher maybe brush up on linear algebra too if you get to systems of DEs. If you get a good professor it should be a fun class.
Answered by MathGuy - Tue Jun 2 17:02:20 2009
Q. Assuming that my school will waive the pre-requisites, would you say that i wouldn't be horribly lost in the class? Calc II and III are full. I'm pretty smart, and I like math, and I have the Calc I down completely.
Asked by jopopipah - Mon Jun 1 10:11:19 2009 - - 2 Answers - 0 Comments
A. Differential Equations is mostly (90%+) Calc II and you should only take it if you understand Calc II. There is very little Calc III - only Exact DEs and PDEs use partial derivatives, a calc III topic. If you find calc easy (look at textbooks/online) you can quickly teach yourself it. I taught myself the bulk of Calc II in less than a week. If there are 2 topics you must know they are integration by substitution and by parts. Depending on the teacher maybe brush up on linear algebra too if you get to systems of DEs. If you get a good professor it should be a fun class.
Answered by MathGuy - Tue Jun 2 17:02:20 2009
what are the applications of differential calculus in engineering & technology?
Q. what are the applications of differential calculus in engineering & technology?
Asked by sathya619 - Thu Feb 26 02:03:31 2009 - - 1 Answers - 0 Comments
A. Have you ever tried to calculate the surface area of a curved plane? Surface area of a wing, and it's drag coefficient at a certain speed? Does the wing need to be made of Titanium, or can I get away with just using a Titanium leading edge on an Aluminum wing?
Answered by Tio Paco - Thu Feb 26 02:18:19 2009
Q. what are the applications of differential calculus in engineering & technology?
Asked by sathya619 - Thu Feb 26 02:03:31 2009 - - 1 Answers - 0 Comments
A. Have you ever tried to calculate the surface area of a curved plane? Surface area of a wing, and it's drag coefficient at a certain speed? Does the wing need to be made of Titanium, or can I get away with just using a Titanium leading edge on an Aluminum wing?
Answered by Tio Paco - Thu Feb 26 02:18:19 2009
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