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It would most likely be something like graph theory, real/complex analysis, or abstract algebra (which is much more general than the algebra you learn in middle/high school).

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Q: What levels of mathematics come after Calculus III?
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What is calculus 3?

Calculus III generally entails vector calculus, divergence and curl, and continuing study of integrals and derivatives. What is mainly studies, however, is the calculus of multi-variable functions, such as f(x,y,z,w,b,a) rather than just f(x) (Typically, it would just be of two variables, but the idea holds).


Where to find a full solution manual for Calculus 9th Edition by Larson and Edwards?

Complete solution manual for Volume I 9780547212982, Volume II 9780547213019, Volume III 9780547213026


How can you use calculus for football?

Calculus can be used to examine many aspects of football. Probably the most obvious aspect is projectile motion. Using Vector-Valued Functions from Calc III, and taking a few liberties, anyone who knows Calculus can accurately predict the least amount of effort needed for a certain pass. They can therefore keep their best quarterback in the game longer, by teaching him how to use the least amount of energy to complete that certain succesfull pass.


What is calculus 1?

Traditionally, and in my learning experiences, calculus is taught in three stages, often referred to as Calculus I, Calculus II, and Calculus III (often shortened to Calc I, Calc II, Calc III). You are asking about Calculus I only, but it is easy to explain all three. Calc I usually covers only derivative calculus, Calc II covers integral calculus and infinite series, and Calc III covers both derivative and integral calculus, but in multiple variables instead of only one independent variable ( xyz = x+y+z as opposed to y = x). This is a traditional collegiate leveling of calculus. This is often changed around in secondary education (in the United States at least). Programs such as AP Calculus often change around this order. AP Calculus AB covers Calc I and introduces Calc II, while AP Calculus BC covers the remainder of Calc II. Now that you know the subject matter, what does it mean? Derivative calculus is a generalized category meant to encompass the computation and application of only derivatives, which are basically rates of change of a mathematical function. A basic mathematical function such as y = x + 2 describes a mathematical relationship: for every additional independent variable "x", a dependent variable "y" will have a value of (x + 2). But, how do you describe how quickly the value of "y" changes for each additional "x"? This is where derivatives come from. The derivative of the function y = x + 2, as you would learn in Calc I, is y' = 1. This means that y changes at a constant rate (called y') of "1" for each additional x. In more familiar terms, this is the slope of this function's graph. However, not all functions have constant slopes. What about a parabola, or any other "curvy" graph? The "slopes" of these graphs would be different for any given value of a dependent variable "x". A function such as y = x2 + 2 would have a derivative, as you would learn in Calc I, of y' = 2x, meaning that the original value of "y" will change at a rate of two times the value of "x" (2x), for each additional increment of "x". You can continue into further derivatives, called second, third, fourth (and so on) derivatives, which are derivatives of derivatives. This is essentially asking "At what rate does a derivative change?". The beginning of Calc I is concerned with introducing what a derivative is, ways to describe the behavior of mathematical functions, and how to compute derivatives. After this introduction is complete, you will begin to apply derivatives to mathematical problems. The description of how derivatives are used to solve these problems is not worth going into, because it would be better for you to connect derivatives to their applications on your own, but you can use derivatives to answer such questions as: What is the maximum/minimum value of a mathematical function on a given interval or on its entire domain? This kind of knowledge can be applied like so: Suppose a mathematical function is found that describes the volume of a box. Knowing that you can use the derivative of this function to find its maximum value, you can then find what value of a certain variable will yield the maximum volume of the box. Another type of application is called a "related rates" problem, in which a known mathematical relationship is used with some given information to describe another property. A question of this type could be: Suppose you have a cylindrical tank of water with a small hole in the bottom, and you measure that the water is flowing out at 2 gallons per minute. At what rate is the height of the water in the tank changing? (This is a simple related rates problem). A full description of integral calculus (Calc II and a basis of Calc III), would take far too long to explain, and it would be easier to explain once you have taken Calc I. Calc III takes the same idea as Calc I and Calc II, but instead of one independent variable "x" changing one dependent variable "y", there are several variables, although in most applications you will only see three, "x", "y", and "z", although the ideas you will learn in the class will apply to potentially infinite variables. The basic ideas of derivatives and integrals will hold here, but the mathematical methods needed and applications possible with multiple variables require additional learning.


Distal?

DefinitionDistal refers to sites located away from a reference point. The hand is distal to the shoulder. The thumb is distal to the wrist. Usually, that reference point is the center or midline of the body.

Related questions

What is harder then calculus lll and if you have more then 1 answer then put it in order from hardest to least?

There are always other problems harder than what is called "calculus III" But what is learnt in calculus III is just basically the "stepping stone" for what is needed for more advanced math in later subjects, such as theoretical physics, protein folding, etc... For me, I determined that Calculus II was the hardest calculus course, then Calculus I, then Calculus III being the easiest. After that... there is linear algebra.... and don't let its name fool you just by having the word "algebra" in it... it is pretty much a HUMONGOUS pain in the buttocks


Is it possible to become an electrical engineer without taking any Calculus courses?

I'm afraid not. Typically, to complete this type of degree you need to complete, calculus I, II, III, and differential equations and possibly more. Most electrical engineers end up with a minor in mathematics simply by virtue of the required courses to become an engineer.


Is calculus 1 and calculus 2 hard for an individual who got an A plus in algebra?

It's difficult to predict how "hard" a given person will find calculus, though being good in algebra is a positive sign. One potential problem: the way that the calculus classes are broken up in many colleges means that Calc II is usually (and notoriously) regarded as the most difficult calculus course (and the most difficult course in the mathematics department most science and engineering majors take). It tends to involve lots of trigonometry and memorization of integral formulae. In schools that use a "trimester" system, this material will probably be in Calc III instead, so your mileage may vary.


Are conics a part of calculus?

Mostly in Calc III you deal with them, not so much in Calc II and none in Calc I


What college classes are needed to major in math?

It all depends on the university your going to attend. At my school you need college trigonometry, pre-calculus, college algebra, statistics, Calculus I,II and III,, Discrete Mathematics, Linear Algebra I and II, Modern Algebra, and Differential Equations to name a few =) There's also certain science classes that you need to take also. But like i said, it all depends on the school and what your concentration is going to be.


What math courses are required for a mechanical engineering degree?

Some would include calculus I, II, III, and differential equations.


What is calculus 3?

Calculus III generally entails vector calculus, divergence and curl, and continuing study of integrals and derivatives. What is mainly studies, however, is the calculus of multi-variable functions, such as f(x,y,z,w,b,a) rather than just f(x) (Typically, it would just be of two variables, but the idea holds).


Is engineering mechanics a mathematics subject?

While engineering is not in itself a mathematical subject, it uses scientific and mathematical principles to achieve its objectives within design, efficient and economical structures, machines, processes and systems. It will resquire the study of higher level maths to include, calculus I, II, III, differential equations, etc.


How many levels and modules are associated with the basic training levels of currculum offerd by the AFTB training program?

Levels: III and modules: 40 are associated with the basic training offered by the AFTB training program.


What has the author Larry Joel Goldstein written?

Larry Joel Goldstein has written: 'Modern mathematics and its applications' -- subject(s): Mathematics 'Finite mathematics & its applications' -- subject(s): Textbooks, Mathematics 'Computers and their applications' -- subject(s): Electronic data processing, Computers 'Calculus & its applications' -- subject(s): Calculus, Textbooks 'The TRS-80 model III' -- subject(s): TRS-80 Model III (Computer) 'IBM PC' -- subject(s): IBM Personal Computer, BASIC (Computer program language), Programming 'Brief calculus its applications' -- subject(s): Calculus, Textbooks 'Goldstein:Algebra Trigonom Applic' 'IBM PC and compatibles' -- subject(s): BASIC (Computer program language), IBM Personal Computer, Programming, QBasic (Computer program language) 'Advanced BASIC for the IBM PC and compatibles' -- subject(s): Programming, IBM Personal Computer, Microcomputers, BASIC (Computer program language) 'Advanced Basic for the IBM PC and Compatibles Tips and Techniques' 'College algebra andits applications' -- subject(s): Algebra, Problems, exercises 'Microsoft BASIC for the Macintosh' -- subject(s): Macintosh (Computer), BASIC (Computer program language), Programming 'Structured programming with True BASIC' -- subject(s): Programming, Structured programming, IBM Personal Computer, Macintosh (Computer), True BASIC (Computer program language) 'Precalculus and its applications' -- subject(s): Trigonometry, Algebra 'Hands-on Turbo Pascal' -- subject(s): Object-oriented programming (Computer science), Pascal (Computer program language), Turbo Pascal (Computer file) 'Calculus and its applications' -- subject(s): Calculus, Textbooks 'College algebra and its applications' -- subject(s): Algebra 'Algebra and trigonometry and their applications' -- subject(s): Algebra, Trigonometry 'Trigonometry and its applications' -- subject(s): Trigonometry 'Structured programming with Microsoft QBASIC' -- subject(s): Structured programming, QBasic (Computer program language) 'Hands-On Quickpascal' 'Advanced BASIC and beyond for the IBM PC' -- subject(s): IBM Personal Computer, BASIC (Computer program language), Programming 'Finite mathematics and its applications' -- subject(s): Mathematics, Textbooks 'Instructor's manual [to] Calculus and its applications, 2nd ed' 'Calculus Applications' 'Turbo Pascal' -- subject(s): Pascal (Computer program language), Turbo Pascal (Computer file) 'Pascal'


What has the author I Todhunter written?

I. Todhunter has written: 'The elements of Euclid for the use of schools and colleges, Books I, II, III ...' -- subject(s): Accessible book 'An elementary treatise on the theory of equations' -- subject(s): Theory of Equations 'The elements of Euclid for the use of schools and colleges' -- subject(s): Geometry, Euclid's Elements, Early works to 1800, Greek Mathematics 'A treatise on analytical statics' -- subject(s): Statics 'Examples of analytical geometry of three dimensions' -- subject(s): Accessible book, Analytic Geometry, Geometry, Analytic, Problems, exercises 'The conflict of studies and other essays on subjects connected with education' -- subject(s): Accessible book, Curricula, Higher Education, Mathematics, Study and teaching 'Spherical trigonometry, for the use of colleges and schools' -- subject(s): Spherical trigonometry 'A treatise on plane co-ordinate geometry as applied to the straight line and the conic sections' -- subject(s): Accessible book, Analytic Geometry, Conic sections, Geometry, Analytic, Plane, Geometry 'Algebra for beginners' -- subject(s): Algebra, Problems, exercises, Problems, exercises, etc 'A history of the mathematical theory of probability' -- subject(s): Probabilities 'The elements of Euclid for the use of schools and colleges, Books I, II, III ..' 'A history of the mathematical theory of probability from the time of Pascal to that of Laplace' -- subject(s): Probabilities 'The elements of Euclid for the use of schools and colleges' -- subject(s): Geometry, Euclid's Elements, Early works to 1800, Greek Mathematics 'A treatise on the differential calculus and the elements of the integral calculus' -- subject(s): Calculus 'Treatise on analytical statics with numerous examples ..' -- subject(s): Statics 'Plane trigonometry for the use of colleges and schools' -- subject(s): Plane trigonometry 'A treatise on the integral calculus and its applications with numerous examples' -- subject(s): Calculus, Integral, Calculus of variations, Integral Calculus


When will Guitar Hero III come out?

Guitar Hero III (3) came out on October 28, 2007.