Tagged Questions

2
votes
1answer
43 views

Helpful to review certain calculus topics before first real analysis course?

This is my first time posting, so I apologize in advance if my question is inappropriate here. I wanted to know if it would be beneficial for me to review certain calculus topics before I take my ...
0
votes
2answers
64 views

Expecting a Discontinuity in Piecewise Function on TI-89 but finding Unexpected Results

When I look at the following function $f(x)$, it would seem to me that because there are no $\le$ or $\ge$ inequalities included where the function's formula changes (for the parts relating to ...
1
vote
3answers
106 views

Is there a problem in studying analysis before calculus? [closed]

Is there a problem in studying analysis before calculus? Most people say that analysis is rigorous calculus, the university I'm studying teaches calculus first because they believe it's better for the ...
9
votes
3answers
190 views

Being ready to study calculus

Some background: I have a degree in computer science, but the math was limited and this was 10 years ago. High school was way before that. A year ago I relearnt algebra (factoring, solving linear ...
6
votes
5answers
283 views

Calculus book recommendations (for complete beginner)

Well I have not started calculus yet but I am really keen to. I would love if you suggest some books. Points to be noted: I really don't like the way textbooks are written so please no "textbooks" ...
6
votes
2answers
267 views

Strengthening My Foundation in Mathematics

"For every equation you introduce, you cut your audience in half." This expression, which I believe came from Stephen Hawking, summarizes why I believe that I have a weak foundation in ...
2
votes
3answers
79 views

Differential equation with unusual form of initial values

A real-valued function $f$ defined on a closed interval $[a, b]$ has the properties that $f (a) = f (b) = 0$ and $f (x) = f'(x) + f''(x),\;\forall x \in [a, b]$. Prove: $$f (x) = 0, \;\forall x \in ...
3
votes
1answer
182 views

A High-School Freshman's Journey Into Calculus

The short version: What path should I take to learn Calculus in High-School? The long version: I am a high-school freshman, and I am enamored with mathematics, and I just see beauty in many things ...
3
votes
2answers
250 views

Algebra book(s): Beginner through to advanced

I admit, I am not great at Maths; I'm situated in one off the lowest Maths class for my year, partly due to myself losing focus last year. Though, I like maths, I really do. Especially since I do a ...
2
votes
1answer
97 views

Is there a relationship between products and integrals? Is there a way to convert a product into an integral?

I know that the Euler-Maclaurin formula establishes a relationship between sums and integrals, but is there some sort of formula that establishes a relationship between products and integrals? I don't ...
4
votes
3answers
401 views

Differentiation from first principles of specific form.

I've been posed a question in which I'm to differentiate with respect to $x$ a function of the form $(x+a)^k$. I've successfully completed (matches the book's answer) the question by using the chain ...
6
votes
5answers
811 views

Advice for benefits to directly use analysis textbook to replace calculus

Main purpose: For self-learning performance, neither for exam nor degree courses. Calculus textbook using now[1]: Calculus I, Weinstein&Marsden, UTM, Springer Question Description: I've been ...
2
votes
1answer
1k views

Some basic practical applications of Calculus

I am currently studying Calculus on my own for fun. I enjoy different components of math and how they can be used to solve so many problems. Many people, however, think I am crazy because I am ...
6
votes
5answers
2k views

Which calculus text should I use for self-study?

I am 36 years old, and have forgotten a lot of math from high school, of which I only took up to Algebra 2. However I am teaching myself mathematics and am now, as an adult, completely fascinated ...
6
votes
1answer
834 views

How do I get good at Math?

How do I get good at math? I'm a freshman in college, and I've always done OK in math. I never had any good teachers in High school, and I always have done the bare minimum. Over the course of this ...
5
votes
2answers
1k views

Just how much proof knowledge is necessary to begin Spivak's Calculus?

I bought Spivak's classic Calculus a month or so ago, and after doing a few problems from the first chapter, it's become apparent that some type of foundational knowledge in formal maths and proofs ...
0
votes
1answer
106 views

Advice for Area problem

I am very interested in a certain problem and I am wondering what methods currently exist to solve it. Given a curve defined by a function which maps any given arc length, s, from an arbitrarily ...
7
votes
2answers
200 views

The role of writing in understanding concepts

I am an engineer student from Norway who is not that fascinated with "engineering maths", so I am trying to work through Spivak's Calculus book on my own. I know that there is no "how to" manual for ...
1
vote
1answer
196 views

Frequency on doing exercises in learning Calculus & Linear Algebra & Probability and so on

When I'm taking courses in Calculus I & II, and Linear Algebra, the lecturers are always telling us to do as many exercises as possible. But when it comes to practical situation, I realize it ...
0
votes
1answer
87 views

Methodology of understanding concepts or formulas

For example, about the basic differential Calculus, I'm doing it in the following way, and is it the good method ? I only focus and try to obtain the fully understanding and intuitive sense of the ...
3
votes
2answers
337 views

Looking for a good precalculus/algebra reference

I'm working my way through Calculus, 9th ed. by Larson and Edwards in independent study. The problem is that many of the exercises and examples use a lot of algebra tricks that are glossed over and ...
0
votes
1answer
285 views

suggest a textbook on calculus [duplicate]

Possible Duplicate: What are the recommended textbooks for introductory calculus? Hi, i am a software engg. and math was never my favourite. I somehow dragged thru the math i had to do in ...
2
votes
4answers
180 views

calculus- limit includes polynomial

Good morning, I would like your help with proving that $$\lim_{n \to \infty} \frac{e^n}{P(n)} = \infty,$$ where $P(n)$ is a polynomial of degree at least $1$. Thank you very much.