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Best Sets of Lecture Notes and Articles

Why does L'Hopital's rule fail in calculating $\lim_{x \to \infty} \frac{x}{x+\sin(x)}$?

Is it bad form to write mysterious proofs without explaining what one intends to do? [closed]

Intuition on group homomorphisms

What other tricks and techniques can I use in integration?

What is the intuitive meaning of the basis of a vector space and the span?

The formalism behind integration by substitution

Why this $\sigma \pi \sigma^{-1}$ keeps appearing in my group theory book? (cycle decomposition)

Evaluate $\lim\limits_{n\rightarrow \infty}\frac{n+n^2+n^3+\cdots +n^n}{1^n+2^n+3^n+\cdots +n^n}.$

How can I visualise groups in Group Theory?

counting the number of elements in a conjugacy class of $S_n$

Permutation groups and symmetric groups

How to simplify $\int{\sqrt[4]{1-8{{x}^{2}}+8{{x}^{4}}-4x\sqrt{{{x}^{2}}-1}+8{{x}^{3}}\sqrt{{{x}^{2}}-1}}dx}$?

What does it mean when people say that groups are a study of symmetry?

The meaning of various equality symbols

Integrating $\int_0^1 \frac {\log(1-x)\log^2(1+x)}x \mathrm{d}x$

What is an intuition behind conjugate permutations?

What are the most popular techniques of proving inequalities?

Why are units called units?

What is the geometrical meaning of the total differential?

If $f(f(x)) = 2x+1$, what is $f(13)$? [SOLVED by @DonThousand]

Explanation for how limit of a sum can be converted to definite integration

True or False : What are some tricky questions in calculus? (or in overall) [closed]

Is this discontinuous function Riemann Integrable?

What motivated hyperbolic functions?

How to prove that the sequence (${x_n}$) converges and calculate $\lim _{n\to \infty }\left(x_n\right)$

How many positive divisors of 7560 are coprime to 15?

Does $\left\{a_n\right\}$ converges to $0$ or $3$

Intuition behind : If rank of a matrix is $r$ then it has a maximum of $r$ non zero eigen values

Reference book for problem solving (Multivariable Calculus).