advanced Definition and 536 Threads

I'm currently studying calculus and I'm considering becoming a mathematician (possibly professionally, and definitely just for fun). What I would like to know is if more advanced mathematics could have any use for the business/business administration field. I'm thinking of anything from...

After you have analyzed the existing material used by the company for their day-to-day duties, the current Access database, and the additional requirements that the current system does not meet, the following requirements entity/attributes have been compiled: Customer information is tracked...

I've been told that usually Mech Eng's or Aerospace Eng's take this class, haven't heard much for EE's but it definitely sounds interesting. Advanced Engineering Calculus - Extends the treatment of engineering mathematics beyond the topics covered in Calculus 3 and differential equations...

Homework Statement The mean diameters of Mars and Earth are 6.9 10^3 km and 1.3 10^4 km, respectively.? The mass of Mars is 0.11 times Earth's mass. (a) What is the ratio of the mean density of Mars to that of Earth? (b) What is the value of the gravitational acceleration on Mars...

appreciate your help greatly. I am very good with probability but am no expert. I am looking to find the probability for a subject that is 26 years old, whom hasn't recalled a dream in six years, to all of a sudden have six extremely vivid dreams on six straight nights. Also the dreams are...

Using Advanced Physics to Model Biological Systems?? Just out of curiosity, is physics (advanced or theoretical, not simple classical physics like thermodynamics or mechanical properties) ever used to model, solve, explain, or apply to medical or biological (human) systems? I know hemodynamics...

We occasionally get questions related to codes and computational methods. There have been considerable advances in computational methods and computational systems in the field of nuclear energy and nuclear engineering. This thread serves to address previous developments and follow current...

Hi all, I am currently pursuing a BS in Mechanical Engineering at Cal Poly Pomona and I have a few questions regarding some personal direction in the study of mechanics, mostly around the area of dynamics and systems. In order to graduate from CPP with a BS in ME the only considerations...

could any1 recommend a good E&M book that might be worth reading after having just finished Griffith's book on the subject... so probably a book a little more advanced than Griffith's

The courses I've taken are algebra, trig, calculus 1 and 2 with analy. geometry and elementary linear algebra. Now that I have a three month break I plan on reviewing calc 1 and 2, and linear algebra. I would also like to learn a new topic but I don't know what subjects would be in my range of...

I am a high school student who has finished calculus, multivariable calculus, and differential equations, but I feel as though the treatment I received of those topics was rather inadequate and shallow - lacking mathematical rigor, so to speak. Can anyone comment on the quality of those two...

When a car is approaching it has a higher frequency and shorter wavelength. When it has passed sound waves are a lower frequency due to a longer wavelength. Question: Does the higher frequency contain more energy when compared to the low frequency? IF IT DOES NOT, then could it possibly be...

I'm signed up to take Advanced Calculus 1 for the Fall semester, I think it's the equivalent of an intro Real Analysis course. I want to prepare ahead of time, especially because I heard it's challenging, does anyone know any books I can use to get a feel for the topic? I'm not too good with...

Homework Statement My question is not specific to any particular problem but is rather of a conceptual nature. In my advanced calculus class this semester, the notation ds appears often, for line integrals, surface integrals, and arc length. In all honestly, I don't really understand what ds...

Lookin' for a good text on Advanced Calculus for self-study. Thanks.

As the title suggests, I'm looking for a good text on Advanced Calculus for self-study. Thanks.

Ok This is a long question so bear with me. BACKGROUND: I am designing a set of crush drums that counter rotate (similar to a rock crusher). One Drum is adjustable to increase/decrease distance between drums. Each drum is 170mm in diameter, 200mm long, made from 10mm thick steel. They are chain...

Hello everyone! I'm looking for an advanced quantum mechanics textbook. I've taken several undergrad quantum courses, but since starting my masters and taking grad courses in noncommutative geometry, functional analysis, and gauge theory to name a few I feel unsatisfied with the level of...

This might be a weird quest and in the wrong section but does anyone know of a list with errors and corrections for the book "Advanced Calculus" by Taylor & Mann 3rd ed? Thanks

Homework Statement If f is strictly decreasing and differentiable on R, then f '(x) ≤ 0 for all x. Homework Equations Mean value theorem The Attempt at a Solution if f is strictly decreasing, then for any a,b\inℝ such that a<b, f(b)<f(a) or f(b)-f(a)<0. By the MVT, there exists a...

Hi folks. I'm wondering who does a good job of explaining this limit, preferably with a good set of examples. It doesn't need to be too basic, but it'd be nice if it went through the phase space stuff a little (I get the impression that my grad prof didn't do a great job with some details based...

Homework Statement A particle of mass m rotates with a uniform speed on the inside of a bowl's parabolic frictionless surface in a horizontal circle of radius R=0.4 meters as shown below. At the position of the particle the surface makes an angle θ=20 degrees with the vertical. The angular...

Homework Statement A mass m is suspended by a light string from the ceiling of a moving car of mass M which is accelerating in the horizontal direction. The string makes an angle θ with the vertical as shown below. The acceleration of the car is: (A) mg/M (B) gsinø (C) g/tanø (D) mg/(m+M) (E)...

My school is offering a advanced mathematical methods classes next semester, taught by a supposedly world-renowned professor. Everyone to whom I've spoken, students and faculty alike, says he's an amazing teacher who gives you a unique education. However, here is the course description: My...

This question may be in the wrong section and quite irrelevant for many of you. Anyway, I need to buy a new calculator for my linear algebra course to deal with matrices and that stuff... which would you recommed I buy between the TI INSPIRE CX - CAS and the TI 89 TITANIUM? These are the ones my...

I intend for this post to serve as one place to get ideas (the vast majority of which are quite unoriginal with me). Naturally, no one solution method can possibly work for every problem. I would argue that such a solution method does not exist. However, the ideas that so many people have culled...

My main interest is usually physics, however I have become interested in the Fibonacci sequence. I looked at the sequence in detail and found a few interesting patterns. The main pattern was a relationship of the way that the digits of numbers compounded, the exact pattern was: 7,5,5,4,5,5...

Homework Statement A car with a flat front is accelerating in the horizontal direction so that an 80 kg person on the front face of the car stays in equilibrium. The coefficient of friction between the person and the surface of the car is .8. The resistance force by the air on the person is...

Hi, I'm 13 and wondering where I can learn this more advance Mathematics. Before you start thinking to your self "Well this little blighter must not pay attention at school!", I should probably explain why that statement would be invalid. You see, the Mathematical curriculum for my...

Such as topics in topology, complex analysis, etc.?

Homework Statement Secret Agent Jane Pond is testing out a new particle ray gun. She knows the particles in the ray have charge -2e and a mass of 50u. (u = atomic mass unit.) To determine the speed of the particles in the ray, Jane needs a region of uniform electric field. She takes...

I found the final answer posted online, but my work doesn't match up. v1 = 3t v2 = 5t1/2 - 6t Orthonormalized: v_1 = \sqrt{3}t is correct. v_2 = \frac{1}{\sqrt{61}}(5t^{1/2} - 6t) does not match. Furthermore, my part (b) is wrong, too. I know my methods are correct. I don't understand...

Homework Statement If ((a(n))+(a(n+1)))/2 converges to A, then a(n) converges to A. Either prove or disprove this conjecture. Homework Equations Normal convergence proof The Attempt at a Solution I will prove that ((a(n))+(a(n+1)))/2 converges to A such that for every...

class. I did a lecture last semester on financial mathematics and stochastic processes. Know of any cool topics that I could lecture on?

I'm trying to understand the basics of GTR. My textbook shows the worldline of an object freely falling into a Schwarzschild black hole in advanced Eddington-Finkelstein coordinates as neatly passing through a series of lightcones as it curves up right to left on the page toward the...

Last semester I took a combined course of Diffy Q and Linear Algebra. I feel I know the basics of LA and want to explore things a bit further. After talking to some professors at my school they told me that the next linear algebra class is a graduate class.. After looking at the course notes for...

Are you a software engineer using differential equations or more advanced math everyday to solve problems? I would like to hear about what you do--what projects do you work on? Do you consider that differential equations and advanced math skills are useful/in demand in the realm of software...

Hello, Things have gone pretty well, I changed my major to math (used to be physics) and I am starting third semester in 10 days. Ill be taking Linear Algebra 2, Abstract Algebra 1 and Multivariable Calculus, plus 2 courses in Literature and one on Nietzsche and Foucault. So, I am studyng Mike...

Homework Statement For arbitrary vector fields A and B show that; ∇ ^ (A^B) = (∇ . B)A - (∇.A)B + (B.∇)A - (A.∇)B Homework Equations where (A.∇)B = ((A.∇)Bx, (A.∇)By, (A.∇)Bz) and (A.∇)f = Ax δf/δx + Ay δf/δy + Az δf/δz = (Ax, Ay, Az)( δf/δx, δf/δy, δf/δz)f The Attempt at a...

Hello there, I was just reading some articles on Wikipedia.org and found an article on proton decay. I will quote a part of it: How would that be visualized? I've got a basic understanding of particle physics, but these concepts seem rather advanced, yet, I insist on wanting to understand...

I am planning to get into harvard physics division the requirements say that I should complete six advanced courses ,two mathematics and four physics courses .but i study in a technological university in India .But i am willing to do the courses outside .anyone with the similar problem and...

Hi, I am a sophomore physics major at the University of Minnesota. I have several options for technical electives and I will probably fill them up with math. Past the four-course math requirement, would it be better to take assorted courses such as PDEs or complex variables, or should I try...

Hello. I've been reading an interesting article by a pair of smart fellows... http://rmp.aps.org/pdf/RMP/v21/i3/p425_1 J. A. Wheeler, R. P. Feynman. "Classical Electrodynamics in Terms of Direct Interparticle Action". Reviews of Modern Physics. Volume 21. Number 3. 1949. I haven't...

Hey. I will be in approx. 1 year from now do a big mathematics project, that is going to be coupled with physics. I have already covered all the obvious choices for this project, such as harmonic motion and dampened harmonic motion with the derivation of the general solutions to the differential...

Homework Statement A security PIN code is four digits long. Each digit could have the value 0 to 9. if an office building needs 10 security PINs, express the number of codes in logarithmic form with base 10 The Attempt at a Solution y=4log(x-10) I don't know how to do the...

Hi i just wanted to know if anyone can help me located a system diagram with atleast 5+ forces acting on it? P.S. the diagram it self should be in rest position.

Hi, recently I've tried to find a good sintetic geometry book with both theory and exercises. Many people said well about this one https://www.amazon.com/dp/0486458059/?tag=pfamazon01-20 College Geometry. I've bought it and I've got so disappointed. I want a book that has exercises...

Homework Statement x= cosθ1p3(cosθ23)+cosθ1(cosθ2p2-a)-sinθ1p1 y= sinθ1p3(cosθ23)+sinθ1(cosθ2p2-a)+cosθ1p1 z= sinθ23p3-sinθ2p3 Homework Equations cosθ23 = cos(θ2 +θ3) sinθ23 = sin(θ2 +θ3) Finding θ1,θ2,θ3. Solve in terms of x,y,z,p Pls help to solve this algebra equation by eliminating the...

Hello there, (Sorry, I hope not to come on here too forward or over anyone's head). I am 25 years old (Junior), I seek information and am super hungry for it. I seek how to design cars, and all aspects thereof. I have decided to pursue establishing my own automotive engineering firm, and...

I'm looking for an advanced Calculus book that explains special (non-elementary) functions and their properties and applications (like Lambert W function, elliptic functions, error function, Ei and other special functions). I'd also like it to contain different methods of integration like...