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Algebra will show you how quickly the gallon will fill over time.

Calculus will show you how quickly the gallon will fill over time while it is also being slowly drained.

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Q: What is the difference between linear algebra and calculus?
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Are calculus and linear algebra courses hard for an individual who got an a plus in algebra?

you don't go from algebra to calculus and linear algebra. you go from algebra to geometry to advanced algebra with trig to pre calculus to calculus 1 to calculus 2 to calculus 3 to linear algebra. so since you got an A+ in algebra, I think you are good.


Is it true that if you are good at math you will fail calculus and linear algebra?

No. Chances are it will be the other way around: if you are bad at math, you stand a good chance of failing calculus or linear algebra. You will perform best at calculus and algebra if you have a strong math background.


How hard is physics if you are excellent at calculus and linear algebra?

That should probably be easy. Try it out to be sure.


Is calculus harder than linear algebra?

The answer depends very much on your aptitude, and possibly your interest: there are no absolutes. Some people find calculus easy but not linear algebra and others are the opposite.


What math comes after calculus?

Differential equations, Linear Algebra, Abstract Algebra, Real and Complex Analysis, Advanced Calculus, and lots of other fun stuff.


What did Carl Gauss contribute to math?

Linear Algebra, Calculus, and number theory :)


What do you need to study physics?

A strong math background (calculus, linear algebra, etc.) and a good brain.


What is the order for higher level math classes?

Normal grades. 1.Pre-Algebra(7th grade) 2.Algebra I(8th) 3. Geometry(freshman) 4.Algebra II(sophmore) 5.Pre-calclulus/ Trig (junior) 6.Calculus(senior) 7. Multivariable Calculus 8. Matrix Algebra 9. Linear Algebra 10. Probability/Statistics However, Geometry may come after Algebra II, or a student might skip pre-Algebra. Also, Trigonometry can be included grouped with Geometry or separate. Statistics can be anywhere between Pre-Calc and after Linear Algebra.


Can you take precalculus and algebra 2 trig at the same time?

No, you can't. Although similar in concepts, Pre-Calculus is more advanced than Algebra 2. Algebra 2 is taken between Algebra 1 and Geometry or after Geometry and before Pre-Calculus. The reason that you can't take both at the same time is because of the curriculum. Pre-Calculus does not spend nearly as much time on linear topics (linear equations, linear programming, etc.) as Algebra 2 does. Pre-Calculus also almost always is 2 courses in one: Pre-Calculus and Trigonometry. Algebra 2 has very little, if any, trig. Topics that they have in common are quadratics equations/functions, polynomial equations/functions, rational functions, exponential & logarithmic functions (sometimes these are not covered in Algebra 2), possibly conic sections in Algebra 2, definitely in Pre-Calculus, factoring, and probability/sequences/series/statistics. In addition to trigonometry, pre-calculus also covers polar and parametric topics (these will NEVER NEVER NEVER be seen in Algebra 2) and an introduction to limits. So, you must take Algebra 2 before pre-calculus. If you want to take 2 math courses in 1 year, try algebra 1 and geometry (not very common), algebra 2 and geometry (somewhat common), and some schools allow honors students with a solid A in Algebra 2 (assuming you took Algebra 2 before Geometry, this differs between schools) allow you to take geometry and pre-calculus in the same year. The study of proofs is not a major topic in pre-calculus, and proofs make up a majority of geometry.


What is the difference between algebra and linear algebra?

Linear Algebra is a special "subset" of algebra in which they only take care of the very basic linear transformations. There are many many transformations in Algebra, linear algebra only concentrate on the linear ones. We say a transformation T: A --> B is linear over field F if T(a + b) = T(a) + T(b) and kT(a) = T(ka) where a, b is in A, k is in F, T(a) and T(b) is in B. A, B are two vector spaces.


What is the difference between abstract algebra and linear algebra?

Linear algebra concerns vector spaces whether finite- or infinite-dimensional. Abstract algebra, or modern algebra, includes linear algebra, along with many other kinds of objects, such as groups, rings, fields, lattices, and so on. In part, it was an attempt to put mathematics on a more rigorous footing. Please see the links.


How much math is needed in economics?

It is recommended that an economics student take calculus, linear algebra and mathematical statistics.