Which is easier to take? Linear Algebra or Differential Eq?
447087
I'm assuming that Cal 3 is multivariable calculus or something along those lines.  Linear algebra will build a certain amount of intuition in thinking in multiple dimensions, not to mention providing techniques that are essential in studying certain aspects of multivariable functions.  An elementary differential equations course will utilize the skills you developed in earlier calculus courses, but doesn't apply as directly to multivariable as does linear algebra.  However, both LA and DE are essential if you're going any further with your mathematics, either as a math major or in science/engineering/econ or elsewhere.
12581
A first-order differential equation of the form:\n\na1(x)*(dy/dx) + a0(x)*y = g(x)\n\nis a linear equation.\n\nWhen g(x) = 0, it's homogenous.\n\nSo, (x^2-9)(dy/dx) + xy = 3 is linear and similarly, (x^2-9)(dy/dx) + xy = 0 is homogenous.\n\nA first-order differntial equation of the form\n\ndy/dx = g(x)h(y)\n\nis separable.\n\nSo dy/dx = (y^2)x(e^(3x+4y)) is seperable since (y^2)x(e^(3x+4y)) = (x(e^3x))((y^2)(e^4y)), and dy/dx = y + sin(x) is NOT separble since it cannot be defined as a product of two equations seperately of x and y.\n\nI can't recall how to discern if a diff equation is exact, but this webpage\n\nhttp://www.utpb.edu/scimath/wkfield/mod2/Exact.html\n\ngives a very detailed explanation.\n\nHope that helps.
616388
At my school it's just a pre-college Algebra course.  Basically you learn simple equations, graphing and matrixes.
1128010
It depends on your thinking processes.  Although, they are closely related and complementary in knowledge they are quite different.  \n\nAccounting is very mechanical.  There are lots of rules.  Many of them have to be remembered by heart.  Meaning they are difficult to reason your way back into them.  In other words, accounting logic can be somewhat counter-intuitive. \n\nFinance is often viewed as more complicated.  But, with some efforts you can reach a certain finance common sense.  The logic is more intuitive and easier to replicate. \n\nWhen I got my MBA I often noticed that the students who were good in accounting, often struggled with finance and economics.  And, the reverse was true too.\n\nI think a good comparison is Algebra and Geometry.  Algebraic formulas often have to be memorized cold, because you would be hard pressed to replicate them through logic.  Geometry, on the other hand, you stand a much better chance to reconstruct a theorem using logic and common sense.  \n\nAlgebra is like Accounting.  Geometry is like Finance.  That may give you an idea if you are more gifted for one discipline or the other.  If you were equally excellent in high school algebra and geometry you have a very balanced quantitative mind.  And, you will have no problem with either accounting or finance. \n\nIf you need further clarification, please contact me through "Answer."
174108
The best ? Go for Richard Courant's "Differential and Integral Calculus". Every structure is motivated and all of the exercises are enlightening instead of busy work.\nIf you have the maturity, Apostol's "Calculus" is another classic introduction and a good companion.
929142
In electronics, which is my specialty, determining the dynamic response of a circuit (with respect to time or with respect to frequency) often requires the use of differential and integral calculus.  In structural engineering, designing buildings or bridges to make them strong and earthquake resistant also requires calculus.  Certainly physics and mechanics rely heavily upon calculus.  I'm not sure about chemistry or biology.
714771
take class, easier. plans to study math on cd less solid (for most people), than having to do it every day in class.  (learned 80% of my calculus the night before the AP test, got a 5 out of 5)
443117
well ive got a TI-83, but i don't think there'e much differnce b/w the two\nI think you go to "mode" and find "Pol" click enter and uve got it.
939340
Hi there!\n\nThere is quite a change between A2 level and degree level maths, but please don't let it put you off!  The main difference I found between A level and uni level maths was the need to prove things, especially in pure maths.  I'm currently studying maths and philosophy, and most of the questions on my problem sheets are along the lines of "Prove this...; show this....; demonstrate that...." and whilst at first it can seem rather daunting, you soon get the hang of it!\n\nI think that the pure maths is found to be more difficult to get used to than the applied maths, because you in pure maths, for example, you analyse the conditions for a function to be differentiable, or integrable, and you prove lots of theoretical results which you aren't generally taught at school.  However, in the little applied maths that I did, it seemed just like an extension of A-level maths.  So for example, in A-level, you learn about differentiation, and one of the first courses in my first year was learning about partial differentiation, and the transition there was very natural.\n\nHowever, if you are doing further maths, then I think you are in a very, very good position because you will already be learning about some more advanced methods of proof (proof by induction, for instance, which is used quite a lot at uni level), and you'll also have had an introduction to matrices, vectors etc, which again is very helpful (matrices, vectors etc comes up in "linear algebra" courses at uni).\n\nIf you are interested in doing a little reading, see if the uni you are interested in attending has a recommended reading list, and just have a look at some of the more basic stuff. However, if you don't understand it, don't panic!  Perhaps start looking at a little of linear algebra, or maybe some more things on differentiation and differential equations, as these topics should be more familiar than subjects like analysis.  \n\nThere was quite a nice book entitled "Complex Numbers ad Geometry" that was used a lot for my second geometry course in my first year.  It ties in complex numbers and geometry in a very nice way, and includes some more formal proofs, so you can have a look at the way mathematicians go about proving things.\n\nGood luck with everything!\n(P.S.-I absolutely love studyig maths!)
864203
i do not recommend it unless you want to take lots of advanced math classes in high school\n\ni started to take algebra 1 in 8th grade, but it was too hars, so i dropped back to pre-algebra\n\nin 9th grade, my algebra class was easier because i had learned more and was in a regular class\n\nyou could drop back, or stay in it, it drop it. UNLESS, you want to take calculus or trigiometry in high school
965203
y = (ln x²)^(2x+3) = e^((2x+3) ln ln x²)\nNow just ruthlessly apply the chain rule:\ndy/dx = e^((2x+3) ln ln x²) * (2 ln ln x² + (2x+3) * 1/ln x² * 1/x² * 2x)\nAnd simplify:\n(2 ln x)^(2x+3) * (2 ln (2 ln x) + (2x+3)/(x ln x))
877239
look up differentiation in your textbook
850555
You can do it either way, but one way might be better depending on the limits of your integrals. \n\nIf you integrate with repect to x first, you do a substitution u=yx^2,\ndu=2xy dx to get an anti-derivative of (1/2)e^(x^2 y). The limits of integration on x will determine how hard the next integral (with respect to y) will be.\n\nIf you integrate first with respect to y, you have to do an integration by parts with u=xy and dv=e^(x^2 y) dy. Then du=xdy and v=(1/x^2) e^(x^2 y). You will still have to integrate v du to get an anti-derivative of\n(y/x)e^(x^2 y) - (1/x^3) e^(x^2 y).\nAgain, the limits of your integration will dictate how difficult the next integral will be.\n\nIf you have to change the order of integration, BE SURE YOU GET THE LIMITS OF INTEGRATION RIGHT.
313110
I took it on April 1st (I'm also in ninth grade) and it was pretty easy. Lots of questions about revising sentences, and miscellaneous math questions. You should do fine :).
349036
If Calculus 3 implies that you have coursed through Calculi 2 and 1, then Differential Equations would be a meaningful course.\n\nDifferential Equations are the bread and butter of engineering, of Building anything; while Calculus 3,4, etc would enable you to find patterns, study patterns, build theories (in general, play with data). Differential Equations would enable you to construct problems and then solve them.\n\nSo, I guess it depends, as always :-), on your goals (both immediate and future).
959198
It is better to have an algebra background before taking geometry.  It is not absolutely necessary, but certainly better.
2558
It largely depends on the individual. Courses that emphasize theory (proving theorems) are generally harder than courses that merely involve performing calculations. There are basically four branches of mathematics: Analysis (calculus), Algebra, Geometry/Topology, and Foundational (Set theory and some metamathematical stuff). These are all quite abstract on the upper division level but often times an individual will have a higher aptitude in one or two over the others. I, for instance, found a fairly advanced abstract algebra course much easier than an introduction to analysis class. Also keep in mind that people that are drawn to math pure mathematics can usually get through the undergraduate material without too much difficulty. Individuals who are taking advanced mathematics courses to satisfy the requirements of some related program (education, engineering, business, etc) may find some of the more abstract material quite challenging. If your question pertains mostly to the latter case, then I'd just say that a good rule of thumb is that the difficulty of the course is probably directly proportional to the number prerequites. Differential Equations would probably be a good example since it should require about 3 semesters of calculus and linerar algrebra at least.