Questions related to the teaching and learning of mathematics.

learn more… | top users | synonyms (1)

0
votes
0answers
60 views

Prob. 2.7-10 in Kreyszig's Functional Analysis Book: Is my solution good enough for anciliary purposes?

With valuable help from the SE community, I've managed to come up with the following solution to Prob. 10 after Sec. 2.7 in Introductory Functional Analysis With Applications by Erwine Kreyszig. I ...
0
votes
0answers
29 views

Pursuing Maths after Majoring in Engineering

I will be graduating this summer with an undergraduate degree in Mechanical Engineering. I want to pursue my interest in the field of mathematics. If anyone can provide guidance on how to go about it? ...
0
votes
0answers
39 views

Variable weight more than another in probability

I'm about to create a ICU pediatric indicator about died and survived patients. I have the next table about the formula that I wish create. My question is... is there any subject inside the ...
0
votes
0answers
42 views

Finding extrema of a cubic equation

I'm brushing up on my calculus and working through Dennis Zill's Calculus w. Analytic Geometry. Problem #39 in section 4.7 describes two light sources and gives the illuminance function of a light ...
0
votes
0answers
21 views

rectangular prisms

The question I'm currently trying to solve calls for 6 different ways to stack rectangular prisms evenly. So, each outcome must differentiate from one another, in terms of surface area. L = 19.7cm / ...
0
votes
0answers
33 views

Potential Careers in Math For Someone with Testing Disability

I've been studying math for several years (Bachelor's in pure mathematics) at university, and so far, I've been receiving excellent scores on the homework exercises (over 95% average) in all subjects ...
0
votes
1answer
76 views

Question about graduate textbook and class.

I am a senior in mathematics, and I have had Advanced Cal I, but currently go to a no name school (there were only three people in the class). I have also taken Advanced Cal II as an independent ...
0
votes
0answers
58 views

How do I prove that a boolean function constructed using $\vee$ and $\wedge$ (without using $\thicksim$ ) must attain the value 1 at least once?

I made an attempt and got this solution. To prove this, lets construct a boolean expression using $\wedge$ and $\vee$ . In the boolean expression $(p\wedge q)\vee(p\vee q)$ , by entering the ...
0
votes
0answers
19 views

Difference of radian and degree measure.

I had noticed that in studying trigonometric functions some fields of Math favors the radian measure such as calculus and analytic trigonometry, while others favor degree measure for instance in ...
0
votes
0answers
16 views

Find a % chance to meet or beat a number knowing a dice's average roll

A 6 Sided Dice's average roll is 3.5. I want to roll three 6 Sided Dice and meet or beat an arbitrary number 30% of the time. How do I figure out what that arbitrary number needs to be to meet or ...
0
votes
0answers
113 views

Importance of set theory

Currently I write an article about set theory (in German). Therefore I want to answer the question, why students need to learn something about sets. Among other reasons I have currently the following ...
0
votes
0answers
45 views

Probability (Checking if my answers are correct)

Please check if my answers are correct and please show me how to answer this using equation because I answer this question using listing method Two dice are rolled. What is the probability of ...
0
votes
1answer
126 views

How to re-learn math: books or websites?

To re-learn math, both websites and books provide visual content (text and some of them shows illustrations). So are websites an alternative to books (content quality-wise)? My goal is to re-learn ...
0
votes
1answer
66 views

Which topics in maths should I know before I dive into programming for image processing?

I am a student who wants to start out with programming for Image processing but as I do not have a good mathematical background(I haven't studied A-level Maths) I would like to know what are the ...
0
votes
0answers
103 views

Where can I get detailed and comprehensive notes of a functional analysis course taught using the book by Erwin Kreyszig?

Where on the Internet can I find detailed and comprehensive lecture notes of an elementary functional analysis course taught using the book Introductory Functional Analysis with Applications by Erwin ...
0
votes
0answers
56 views

Fun Lagrange multiplier problem?

Do any of you have a fun or interesting Lagrange multiplier problem that would be suitable for undergraduate calculus students? I'm planning on working through a standard Lagrange multiplier problem ...
0
votes
1answer
26 views

Systems of Inequalities question

Amy is a landscaper and has been given an assignment to modify the plans for a park in a small neighbourhood. The land she is working on is covered in trees and shrubs. Amy needs to make the park ...
0
votes
1answer
44 views

Formula to find the sum of digits

I want to know if there is a way to find the sum of the digits of a power $a^b$ For exemple $9^{14}$ = 22876792454961 , Sum is 2 + 2 + 8 + .... + 6 + 1 Thanks in advance.
0
votes
0answers
27 views

Example of caculation the cummulative probability

I have a question about probability that I am confusing. I have k bit symbols. Now, I want to calculate the successful decoding probability for k bits. It can defined by this equation ...
0
votes
1answer
435 views

Taking Calculus II and Calculus III at the same time?

A little background: I'm a high school student enrolling at a local university next fall. I plan to pursue a mathematics degree, have studied this Calculus book. During the next semester, I plan to ...
0
votes
0answers
50 views

Appreciating the Distributive Law

I'm going to introduce my middle school students to the distributive law in arithmetic, in a meaningful way so that they understand its importance and value. I need some interesting examples and ...
0
votes
1answer
27 views

Probability Intersections

$A$ and $B$ are two events from certain probability space $\Omega$. Knowing that: $P(A)=0.6$, $P(B)=0.7 $ and $P(A\cup B)-P(A\cap B) = 0.2$ Determine $P(A\cap B)$ It says in this sheet that the ...
0
votes
0answers
34 views

Prerequisites for learning 'computer mathematics'.

O.K. I know basic arithmetic and nothing else. I want to be able to implement the algorithms in Knuth's 'The Art of Computer Programming'. I have my own curriculum for the programming aspect. I need ...
0
votes
1answer
36 views

I am looking for a book designed for self teaching applied/engineering mathematics. Can someone help me find a few?

I have used Shaum's differential equations. Are there others that I could use that are designed for self-study?
0
votes
1answer
28 views

How to calculate how much to add so that buying 1 expensive item is better than 10 cheap items

I am trying to make a shop for self learning but i have a small hiccup! I have this list of items that has a USD value assigned to it. But I want to make it so if they buy a "100 GB/s" it should be ...
0
votes
1answer
27 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 ...
0
votes
2answers
77 views

Find point in 3D plane

I have four points in a 3D space, example: $$(0,0,1),\ (1,0,1),\ (1,0,2)\ \mbox{and}\ (0,0,2).$$ Then I have a 2D position on that square plane: $$x = 0.5,\ y = 0.5.$$ I need to find out the 3D ...
0
votes
1answer
33 views

how to check the variables which underwent the maximum change in a time course data?

I have time series data of many variables (these data for these variables are coming from a high-throughput experimental studies) The time series looks like $x \to x_1, x_2, x_3..$ which is the value ...
0
votes
1answer
99 views

Are upper division math courses textbook- or lecture-based?

I'm a sophomore studying computer science. I have the option of finishing up my degree, or switching to math and taking my minor in CS. I'm contemplating switching for a variety of reasons - don't ...
0
votes
1answer
49 views

Is there a way to simplify this equation?

$$ A = \left( 4000 \left( 1+\frac{x}{y} \right) \right)^4 \cdot \left( 1 + \frac{x+0.002}{y} \right)^4 \cdot \left(1+\frac{x+0.002+0.002}{y} \right)^4 $$
0
votes
1answer
35 views

Causality of a discrete recursive system

I am new in this site and this my first question. How can I mathematically prove that the system with a transfer function like the below one is causal? P.S: I know that for a system to be causal ...
0
votes
1answer
11 views

Incrementing Number Formula

I am trying to find a formula to express the nth term, the pattern is as follows: n = 4, 5, 6, 7 its corresponding values are as follows: 6, 10, 15, 21 I know this is not worded very well, if ...
0
votes
2answers
58 views

Standard Deviation of Population from Sample.

I guess I am a little confused. I am doing t test statistics in my class. I think I know but I would love some insight. I am trying to get the estimated standard deviation for the population. These ...
0
votes
1answer
975 views

Upper and Lower Bounds for Confidence Intervals on a one tail hypothesis test.

CI(99) = xbar ± Zcv( σ / √ n -1 ) My question is if the test is a one tail hypothesis test, do I still do two separate equations + and -. Here is the formula filled in (if it is the correct ...
0
votes
1answer
14 views

Why am I getting 84.25 instead of 97.68 for my Confidence Interval?

Why am I getting 84.25. I am doing 97.96*(6/sqrt[50-1]) = 97.96*(6/7) I am obviously not doing this correctly please help. It has been sometime since I have done any math.
0
votes
1answer
242 views

A Ferris Wheel Word Problem (Trigonometry)

Please help, will give me an idea how to do more of these. A Ferris Wheel called Colossus has a diameter of 158 feet. Using the figure as a model, find the distance traveled by someone starting at ...
0
votes
1answer
29 views

What are the variables by which I can differentiate the different fields of math?

Ironically, I'm on a mathematics-based forum using the terms "variables" and "differentiate" in entirely non-mathematical ways, but what I mean by this question is as follows: I'm self-studying and ...
0
votes
2answers
105 views

linear congruence questions

A: For the two systems of linear congruences, one system has integer solutions while the other does not. For the system with integer solutions, write down 2 of them whose difference is less than 192. ...
0
votes
1answer
31 views

How to work out 3 dimensional vector angles

I've come across this question and cant for the life of me think how to work it out. I understand working out the angle between two vectors e.g. given, vector a(2i+3j-k) and vector b(8i-6j+2k) but am ...
0
votes
1answer
56 views

Pre requisites of linear algebra

I want to learn abstract linear algebra. Do I require the knowledge of discrete mathematics before I start? I have the impression that abstract maths and their proofs can be understood easily by the ...
0
votes
2answers
165 views

Fundamentals of Algebra - Cancelling Like Terms in Divison

When can, or can't, terms be cancelled. ie: $\frac{3x^2-1}{x^2}$ $x^2$ cannot be cancelled. Why not, and what are the rules?
0
votes
1answer
40 views

How to define a set for a matrix

I have a big matrix and I have partitioned it. So, I want to say that I am taking the summation of entries that do not belong to the blocks in the diagonal. How can I say it mathematically. Is it ...
0
votes
1answer
58 views

Mean and Variance Statistics

$X_1, X_2, \dots , X_n$ ~ i.i.d $U[0,1]$ a) Find the mean and variance of $lnX_1$. b) Let $0\le a \lt b$. Find the $\lim_{n \to \infty} P(a \le (X_1,X_2, \dots ,X_n)^{(n^ -0.5)}*e^{ ( n^{0.5})}\le ...
0
votes
1answer
629 views

Line Drawing Using Bresenham Algorithm

Indicate which raster locations would be chosen by Bersenham’s algorithm when scan converting a line from screen co-ordinates (1,1) to (8,5). First the straight values (initial values) must be found ...
0
votes
0answers
34 views

What do you want your children to learn? [closed]

Very unusual question here. Do those of you who have children in elementary school (age 6-10) think that memorization of mathematical facts is over-emphasized compared to concepts? It seems like math ...
0
votes
1answer
79 views

Linear Transformation Brief Question

$T:P_{3}\rightarrow P_{3}$ defined by $T(p(t))=tp'(t)+p(0)$ is a linear transformation. Determine whether $T$ is invertible. If yes, find $T^{-1}(q(t))$, where $q(t)$ is a polynomial of degree at ...
0
votes
1answer
45 views

Solving a partial differential equation help

this is my differential equation course. I got back into school after a couple of years. This is just the start of this course and I am having difficulties in one of these practice problems. This is ...
0
votes
1answer
391 views

Probability and perfect squares [duplicate]

An integer $n$ is randomly chosen from $1$ to $k^2$, where $k$ is an integer. What is the probability that $n$ is a perfect square? I know I have to first figure out the probability of getting a ...
0
votes
1answer
36 views

Realizability in mathematics

What does it mean in mathematics when someone says "it is realizable"? If someone could give me a general and intuitive explanation I would appreciate it. Thank you!
0
votes
2answers
153 views

Request for reference and technical support [closed]

I am going to write my master thesis in order to become a teacher of mathematics (with second subject business management). Supported by the ERASMUS program I have the opportunity to do this in ...