Questions related to the teaching and learning of mathematics.

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1answer
24 views

Finding eq of tan to the curve

I am trying to figure out how to find the eq to the tan to the curve x = cost + cos2t, y = sint + sin2t, (-1,1) I'm lost at the point where you plug in t in order to find the slope. I have the ...
1
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2answers
75 views

Do mathematics researchers regularly solve problems like this?

I'm not sure that this is the right exchange for this question. It asks about the possibilities of research in mathematics and computer science. Extended Background I am very interested in ...
-1
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2answers
153 views

delete post, figured it out [on hold]

Nevermind, i figured it out, idk how to delete post sorry
6
votes
3answers
59 views

Interesting, unusual max/min problems?

So I've got to that stage of my elementary mathematics subject for engineers when we talk about differentiation and solution of max/min problems. And I'd like to entertain and engage the students ...
1
vote
1answer
45 views

ROI Forumla for this scenario

I couldn't come up with a proper formula for the scenario below. I'm not so good at Maths. With, $X$ - monthly gains in percentage $C$ - Initial capital $N$ - number of years $M$ - Amount ...
0
votes
1answer
28 views

Multiplying and Dividing Rational Expressions [on hold]

Discuss why factoring should be the first step when multiplying and dividing rational expressions. Give an example. Consider the following rational expression as a division: $\frac{x^2 - 25}{x - 5}$ ...
1
vote
1answer
37 views

Converting 16bit float to Base10 and vice versa

Hi! I have some difficulties understanding how I'm supposed to calculate this 16bit float to base10. This is something that is coming up on a test so I would be pleased to learn how this is supposed ...
-2
votes
1answer
58 views

The Definitive Math Book Guide and List [closed]

This question attempts to collect the few pearls among the dozens of bad Math books that are published every year. And is based on ...
0
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2answers
74 views

What are the differences between mathematics courses taken by engineering majors and by math majors? [closed]

I am curious to know what are the differences between mathematics taken by engineering students and by math majors. Let's say in terms of the approach, depth and in the topics covered. And even within ...
1
vote
2answers
33 views

rationalize the complex number multiplication rule

For a middle school student without previous knowledge of complex number, how do one introduce the multiplication rules of complex number? i.e., if we have two real number pairs of $(a,b)$ and ...
2
votes
2answers
73 views

Going Back to Grad School After Being Away from Math

I graduated with a degree in Math-Computer Science(dual degree) from a college in the US in 2012, and have been working in the Software industry ever since. From 2012 to mid 2014 I was a software ...
6
votes
1answer
99 views

Good Reference for Justifying (less well-known fields of) Math?

How do we as mathematicians justify the study of math to students? Or, indeed, how do we justify it to the general public? How do you justify your particular field? I'm particularly interested in ...
0
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0answers
28 views

one problem of creating table in latex [closed]

Blockquote I want to creating a table in latex by this $\begin{table} \begin{center}‎‎‎‎ \begin{tabular}{‎c‎ | c | c | c | c ‎|c ‎‎‎‎‎‎‎‎{c}‎r}‎ ‎j/i‎ & 1:Tumor & 2:Envir ...
19
votes
5answers
1k views

Mathematics - The big picture

My knowledge in math sums up to several university level courses and a lot of self-study. Sometimes it feels like Mathematics is a huge subject with a lot of different areas which some of them ...
0
votes
0answers
65 views

The steps to becoming a Pure Mathematician

I'm a college freshmen intending to major in Mathematics. I started college with not so great grades in my calculus courses. However, I realized that to get the grades I just have to practice. I ...
0
votes
1answer
45 views

“Real world” applications of rational functions

I need a rational function/equation beyond the contrived d=rt and work problems typically given in beginner algebra. I am teaching such a class and would like to motivate the study of techniques for ...
2
votes
0answers
36 views

Equillibrium between Programming and Math Skills? [closed]

So I enjoy recreationally doing math and programming and am now at a stage where I will be pursuing them in University but I have found myself in a bit of a bind. My programming ability seems to lag ...
2
votes
2answers
52 views

Writing solutions of inequalities: $3<x$ versus $x>3$

My son wrote a solution to a number line graph as 3 < x instead of what his teacher said was the correct answer of x > 3. When he brought his paper back in to bring it up he was told that the ...
1
vote
3answers
148 views

Is tutor essential for success in mathematics? [closed]

Everyone in my Pre-Calc - Calc I class is failing, except the kids who go tutor. They get top percentile ranks in the class. Should I drop maths all together so I don't have to invest in a tutor? I ...
5
votes
4answers
194 views

What sequence should I study these topics in?

I will shortly list a series of topics that amount to what is essentially the first two years of an undergraduate degree. I'd like to know what is considered best order in which to study these ...
0
votes
0answers
17 views

Maths C sum and series

The quality of the waste water from a manufactory contains 500g pollution per 1OL of waste water. Each time the water passes through a filter, 18% of pollutant are removed According to NHMRC ...
0
votes
0answers
27 views

Maths C Proving fibonacci sequence (induction)

Given the recurrence relation of the Fibonacci sequence: F(n) = F(n-1) + F(n-2) Knowing that F(1) = 1 and F(2) = 1, solve for x, name the two solutions as $x_1$ and $x_2$. The particular values ...
-1
votes
1answer
55 views

using induction to prove that the formula for finding the n-th term of the Fibonacci sequence is: [duplicate]

May someone help me? I am trying to use induction to prove that the formula for finding the $n^{th}$ term of the Fibonacci sequence is: ...
2
votes
1answer
124 views

Math enthusiast wants to learn math

I'm an english major with a vivid interest in mathematics,I've read and enjoyed What Is Mathematics? by Courant and Robbins (does this count as some background?),and I've decided to begin a serious ...
3
votes
2answers
79 views

Prove withoui calculus: the integral of 1/x is logarithmic

It was known in the 17th century that the function $$ t \mapsto \int_{1}^{t} \frac{dx}{x} $$ is logarithmic: a geometric sequence in the domain produces an arithmetic sequence in the codomain. This ...
2
votes
1answer
32 views

Computing of the Gamma Function

I have stumbled upon Gamma functions when dealing with Gamma distributions on my studies with basic statistics. However, I have not understood how its computation expands factorials to real and ...
3
votes
1answer
93 views

(translated)Russian mathematics books?

Most russian mathematician(generally) are known to do and teach mathematics in a very original manner,they do in a very intuitive yet rigorous way, with/through wonderful connection to physics. ...
1
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1answer
163 views

Gilbert Strang's books on calculus and linear algebra?Are they for math majors?

I would to know what are the best resources to use to teach and learn elementary subjects (calculus,linear algebra),I remember when learning calculus, I used Spivak's book which had wonderful ...
0
votes
1answer
21 views

Can i calculate velocity at a point P without using calculus in this case

I actually wanted to understand calculus. And read many a times, that concept of differentiation is about splitting the path into infinitesimally small divisions. In most cases the such division is ...
1
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4answers
55 views

Explaining multiplication of fractions

The best way I've been able to describe multiplication is as $$ a\times b = \sum^a_{i=1} b$$ But my definition does not account for things such as $2.99792458\times8.987551787$ and ...
2
votes
1answer
74 views

Teaching the Concept of Infinity to Children.

I was recently out with the family and we left it up to the children where we ate lunch (11 and 9 years old). They couldn't agree and were going back and forth calling each other names. This ...
0
votes
2answers
31 views

Alternative to using greater than operator for comparing numbers on a number line

The sign greater than "$>$" represents the quantity of one number more than another number. However the same sign is used to know the direction of a number on the numberline ( with respect to an ...
10
votes
3answers
323 views

A question from an engineering undergraduate

My question primarily concerns the necessary transition from an undergraduate program in electrical engineering to graduate program in applied mathematics or pure mathematics. I'm an electrical ...
6
votes
1answer
209 views

Where does the “Visual Multiplication” technique originate from?

There is a geometric technique to perform multiplication of numbers. But as the internet goes, it is hard to figure out who deserves the credit. What I've heard is A mayan technique From Vedic ...
1
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1answer
51 views

How many bit strings of length 15 have exactly three 0s?

I need help with this question: How many bit strings of length 15 have exactly three 0s?
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0answers
24 views

Research scopes in Computational Geometry

I have taken a short a course on Computational Geometry and at present I want to do some research works of my own. Can anybody tell me about the research scopes on it? I mean, what are the active ...
0
votes
0answers
46 views

Prerequisites of Vector Calculus for Freshman

I'm doing BSc as Physics major, i had studied Calculus and Vectors in 12th grade. For now i want to study Mathematical physics myself, i had decided to follow Arfken but it starts from the topics ...
5
votes
1answer
83 views

What math have I missed as an Engineeering graduate? [closed]

To explain, I have a Master's in Engineering from a well known university. We did a wide variety of mathematical topics, vector calc, perturbation methods, numerical methods, linear algebra, discrete ...
4
votes
1answer
76 views

How would Johann Bernoulli have tutored Euler?

Early in Euler's life (when he was still a child/teenager), the Euler family friend Johann Bernoulli would tutor Euler in mathematics. Do we know how Johann Bernoulli would have tutored the young ...
4
votes
0answers
52 views

Where to post a Calculus review guide?

I created a PDF document (using LaTeX) in which I wrote relevant review materials and Calculus problems for Calculus 1, 2, and 3. Is there an appropriate forum where I could try to post this to ...
0
votes
1answer
15 views

Able to adjust a Function/Formula with Weighted Variables to correct for changes in a variable?

I apologize for the somewhat cryptic title as I don't quite know how to word it. I have a somewhat abstract question that may have a simple answer. But I am wracking my mind all over this! So ...
1
vote
2answers
18 views

Markup and Margins

My question is if I can have 80% margins with 180% markup of operating costs? For instance if I have an operating cost of 300 dollars and I mark it up by 180% I would charge the customer 540 dollars. ...
1
vote
3answers
51 views

“Full”-Simplification of arbitrary mathematical expressions

I've come across many (classroom) problems, like Roy did, whereby the solution to a problem, $$−3(7−2x)^2−5(1+x)^2$$ is the result of simplifying that expression as much as is possible, i.e. ...
8
votes
1answer
174 views

How much math is there? [closed]

Among other things I teach high school-level math, and one question that often comes up is: "How long would I have to study math in order to know all of it?" I usually tell them that it's like ...
0
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0answers
52 views

Is it necessary to know all the details in proofs of theorems you study in PDE's?

I've been studying PDE from the book by L.Evans for some time now. I came across some statements in the proofs which I couldn't justify. But to complete the exercises I didn't need to know all these ...
2
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0answers
77 views

On which occasions will the intelligent layperson fail to recognize a mathematics problem?

Suppose an intelligent lay person is ignorant of mathematics and believes all the crap taught in classrooms to the effect that mathematics consists of believing dogmas, obeying instructions, and ...
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0answers
36 views

Which Universities in US should I apply to study for a Masters in Statistics?

I've decided that I want to join a masters programme that prepares graduates for industry work as opposed for a phd. At the same time, I also want to really understand the theory behind the ...
5
votes
2answers
148 views

Misunderstanding the Theorem of Bayes

Saw this problem in an article on bbc.com (6 July 2014, "Do doctors understand test results?," by William Kremer BBC World Service; link below, slightly modified): A 50-year-old woman, with no prior ...
0
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4answers
54 views

Is it correct to write gcd(a,b) if a<b?

While creating an algorithm to compute the greatest common divisor of two numbers I saw that — on various websites/books — when you have "gcd(a,b)" a is superior to b ; is it an obligation or am I ...
2
votes
0answers
77 views

Science Fair project ideas? [closed]

It the summer for me right now, and I'm approaching my junior year. I'm attending a very rigorous high school in Florida in the Math, Science and Engineering program. The program requires that I ...