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How To Calculate The Riemann Sums Still on the topic of the Definite Integral, today i will be giving examples on how to calculate the Riemann sums. the Riemann sums…

Understanding The Integral Calculus over the past few weeks i have received many emails from various people asking me to solve some questions and abstract problems o…

the question was asked by sainath gunavat,Check out this integral calculus $\int\sqrt{\frac{x}{1-x^2}}dx$?

MTH1301 Test Solutions ( 1 ) Let the universal set be \begin{align*} &\bigcup=\{x:x\ \text{is a natural number less than} 10\}\\ &A=\{x:x\ \text{is an odd…

Linear Approximation Of Functions Given a function $f(x)$,if $x=a$ then the linear approximation of $f(x)$ is given by $L(x)=f'(a)(x-a)+f(a)$ Examples Use Lin…

Differentials of Functions for any function $f(x)$ that is differentiable,we defined $y=f(x)$ so that $\frac{dy}{dx}=f'(x)$ and the differential is given as $dy=…

Example of Monotone Sequences In my last post, i explained  the monotone sequences and their criteria of convergency,now i will be a giving solutions to problems of …

The Monotone Convergence Criterion The monotone sequence is one important aspect of sequences . A monotone sequence is any sequence ${s_n}$ that is either increasin…

The Limits of absolute Values Today i will be posting about a further theorem that is an order property of the limits of sequences.yesterday i talked about a theorem…

22 operation Properties of Infinity they will not teach you in class The Real number system is so diverse that sometimes you will think it is the largest set of numb…

Analysing The "Squeeze or sandwich Theorem" of sequences . Still on the topic of sequences, i want to discuss on a property of the limits of sequences,which i…

( 1 ) A container has 30 gold medals,22 silver medals and 18 bronze medals.if one medal is selected at random from the container, what is the probability that it is no…

Solution To Problems of Convergence Sequence using Epsilon Approach In one of my previous post titled "The convergence Sequence" i discussed about how to i…

JAMB Past Questions And Solutions ( 1 ) factorize completely $ac-2bc-a^2+4b^2$ A . $(a-2b)(c+a-2b)$ B . $(a-2b)(c-a-2b)$**** C . $(a-2b)(c+a+2b)$ D . $(a-2b)(c-a…

Marcus du Sautoy, mathematician and author of The Great Unknown , explained how mathematics could prove that time doesn't exist. He told Business Insider: "I…

The Convergent Sequences I started treating the topics of sequences yesterday and i was able to look into the common types of sequences we have.But today i will be l…

Using computational tools inspired by financial math models developed to predict changes in stock prices, researchers were able to accurately predict how different pro…

Often used for children's enjoyment and artistic performances, soap bubbles are delicate, light-reflecting films that typically last just a few seconds be…

The Harmonic Functions The Harmonic functions is a Function That satisfy the Laplace equation.In order words the harmonic function is defined as:

Sequences of Real Numbers In my previous posts, i have written a lot about many topics of the real number system, today i am going to be writing on a very vital aspect…

JAMB past questions on Calculus below are some of the calculus questions from the previous jamb examinations, i believe you should have basic background of calculus,we…

The 9th Annual National Mathematics Competition For university students (NAMCUS) was recently held at the National Mathematical Centre kwali - sheda, Abuja, it took pla…

Supremum,Infimum,Archemidian property and the axiom of completeness In my previous post i tried to discuss the bounds of sets of real numbers and also tried to give so…

Having a good GPA is a dream of every students, but in most cases, this doesn't work out Disclaimer : this post is not written to incite students against having go…

CONTINUOUS AND DISCONTINUOUS FUNCTIONS Continuous Functions Before we talk about Continous functions we will first give a detailed explanation of what a function is. …

BOUNDS OF SETS OF REAL NUMBERS In mathematics especially in the study of real numbers, bounds are widely used,but this bounds has a wide range of definition,for exampl…

Dutch-sponsored mathematician Valeriu Savcenco has developed new methods for the numerical solution of ordinary differential equations. These so-called multirate metho…

Definition of Analytic Functions i) A complex function $f(z)$ is said at a point $z_0$, if $f$ is differentiable not only at $z_0$ but at every point of some neighborho…

Philip Emeagwali has been listed as amongst the top 10 most intelligent people in the world, having the acclaimed IQ of 190. Philip Emeagwali, of course, is a renowe…

Mathematical analysis has led researchers in Japan to a formula that can describe the movement of DNA inside living human cells. Using these calculations, researchers ma…