Episode 70 - KA Stroud Engr Math 70 - Differentiation of inverse trigonometric and hyperbolic functions

In tonight's episode (Episode 70), I began the next program (Program from page 562 of the book, which focuses on differentiation applications. The first two topics covered in this program are the differentiation of inverse trigonometric and hyperbolic functions. I derived the derivatives of these functions and applied them to problems.


https://www.youtube.com/watch?v=xfrxpRC17Hc

Episode 12 - Multiplication of numbers with a series of 1's mentally without a calculator (part B)


https://www.youtube.com/watch?v=g3vJlU-0yeU

On January 30, 2024, here on NL, I wrote about the effect of fuel subsidy removal on the price of food and proposed what I believe our government should do in response. You can read more about it here:

It is commendable to see that the Nigeria Customs, an agency under the federal government, is selling some seized rice at a subsidized price to citizens with their National Identification Number (NIN), ensuring that each person can only purchase one bag. I encourage the federal, state, and local governments to adopt this method for distributing palliatives going forward. This approach can be extended to other staple foods such as beans, garri, semovita, etc.

With proper monitoring, such as digitizing the distribution process, targeted assistance can reach those in need. I think wealthier individuals who can afford to purchase food at market prices are unlikely to join the queue, ensuring that the assistance goes to the intended beneficiaries.

Each local government could establish around 10-20 distribution centers where people can access subsidized food, with each NIN holder eligible for this assistance once per month.

Other funds should be allocated to infrastructure development, and the government should refrain from propagandizing.

If we are prepared to take action, Nigeria will be great!

What do you think?

Lukgaf

Episode 5 - Rationalization of Surds


https://www.youtube.com/watch?v=_fEOxblHEWw

Benefits and Action points from Hadith commentary:

Look up and ponder upon the reality of this lowly life

Abu Sulayman said, “Do not testify for anyone with asceticism for it is in the heart”
Internalise and understand that no matter what you can physically see or feel, the reality of the matter is that what is with Allah is more secure and more closer to you than what is in your hands

If you are hit with a calamity, you should seek the reward from Allah and not let the calamity affect/concern you

Do not be upset when someone criticises you with the truth, just like you are not upset when they praise you

Understand that Allah is the provider so no matter how detached you are from the dunya, if you are attached to Allah, then He will provide for you

Be more concerned and worried when your wealth increases, for your questioning on the day of judgement regarding your wealth will no doubt increase

If your wealth is increased, ask yourself how you will fulfil the rights of Allah with this wealth
Understand the purpose of this dunya and that you are here on a test so do not be attached to the test, but keep your focus on passing this test

Do not detach yourself completely from the dunya, but take from it what is necessary, and also enjoy certain aspects of it which are halal, as the prophet (SallaAllahu ‘alayhi wasallam) did

Ensure you dedicate a time for fulfilling your desires in that which is halal so that you may gain strength in doing more good

This week, let's review the 31st hadith of the forty hadith of An-nawawih. For the past review, see here

On the authority of Abi al-‘Abbas Sahl bin Sa’d al-Sa’idi (RadhiyAllahu ‘anhu) who said: A man came to the Prophet (SallaAllahu ‘alayhi wasallam) and said: “O Messenger of Allah, direct me to an act which if I do it, [will cause] Allah to love me and people to love me.” He, sallaAllahu ‘alayhi wasallam, answered: “Detach yourself from the world and Allah will love you. Detach yourself from what people possess and they will love you.”

(A hasan hadith reported by Ibn Majah and others with good chains of narration)

Read the commentary of the Hadith here

Allah says (interpretation of the meaning):

“The month of Ramadan in which was revealed the Quran, a guidance for mankind and clear proofs for the guidance and the criterion (between right and wrong). So whoever of you sights (the crescent on the first night of) the month (of Ramadan i.e. is present at his home), he must observe Sawm (fasts) that month, and whoever is ill or on a journey, the same number [of days which one did not observe Sawm (fasts) must be made up] from other days. Allah intends for you ease, and He does not want to make things difficult for you. (He wants that you) must complete the same number (of days), and that you must magnify Allah [i.e. to say Takbeer (Allahu Akbar: Allah is the Most Great)] for having guided you so that you may be grateful to Him.”

[al-Baqarah 2:185]

This blessed month is a great opportunity for goodness, barakah (blessing), worship and obedience towards Allah.

It is a great month, a noble season, a month in which hasanaat (rewards for good deeds) are multiplied and in which committing sayi’aat (bad deeds) is more serious than at other times. The gates of Paradise are opened and the gates of Hell are shut, and the sinners’ repentance to Allah is accepted.

In essence, in Ramadan, we uphold the five pillars of Islam with renewed dedication: we fast, pray, recite the Quran, give charity, and reflect.

Fasting during Ramadan offers a multitude of benefits, enriching us spiritually, physically, and mentally. As we abstain from food and drink, we nourish our souls, cleanse our bodies, and strengthen our minds.

Ramadan holds profound historical significance, marking the revelation of the Quran to Prophet Muhammad (peace be upon him).

The virtues of Ramadan are manifold, as emphasized in the hadiths and teachings of Prophet Muhammad (peace be upon him). As we anticipate the arrival of Ramadan, let us set intentions and goals to make the most of this sacred time.

May our preparations be filled with sincerity, reflection, and anticipation for the blessings ahead.

Assalamu alaykum dear brothers and sisters,

Ramadan is fast approaching! InShaAllah, we will be having a short course - "Ramadan 101," every week till the end of Ramadan to help you prepare for the upcoming month of fasting, reflection, and spiritual growth.

In this short course, we will explore the significance of Ramadan, its pillars, benefits of fasting, historical background, virtues, and practical tips for preparation. Each session will be filled with valuable insights, reflections, and opportunities for discussion.

Whether you're new to Ramadan or seeking to deepen your understanding, "Ramadan 101" is tailored to meet your needs and enrich your Ramadan experience.

Let's make this Ramadan our best one yet!

Ramadan Mubarak in advance!

https://www.youtube.com/watch?v=31zgoo4gbHw

In tonight's episode (Episode 69), I continued my explanation from Program 7, Frame 26, page 555, focusing on the topic of implicit function differentiation. I explained the difference between this type of function and the one we have been working with (explicit) and how to deal with functions of these types. In the second part of the class, I covered parametric equations and how to differentiate them, marking the end of Program 7.

Episode 5 - Basic operations in Surds

https://www.youtube.com/watch?v=2J5iH_gmR4g

ÌSIRÒ NÍ ‘SẸ́JÚ KAN 11
Multiplication of numbers with a series of 1's mentally without a calculator (part A)



https://www.youtube.com/watch?v=fjZ4GwyP4zU

Writing in (singular) surd from simplest form


https://www.youtube.com/watch?v=PVpq-ZWZDTI

Can we use these types of emojis when chatting? Does it come under the same ruling as images that is forbidden to make, draw or use?

Praise be to Allah.

It seems – and Allah knows best – that this face, whether it is smiling or sad, does not come under the same ruling as images that it is forbidden to make, draw, or use, for two reasons:

1 – It contains none of the features of a real face, such as eyes, mouth and nose, and it has no head or ears.

The Prophet (peace and blessings of Allah be upon him) said: “The image is the head; if the head is cut off, there is no image.” Narrated by al-Ismaa’eeli in his Mu’jam from the hadeeth of Ibn ‘Abbaas and classed as saheeh by al-Albani in al-Silsilah al-Saheehah no. 1921 and in Saheeh al-Jaami’ no. 3864.

2 – The majority of fuqaha’ are of the view that if something is cut off from an image without which it could no longer live, then it is not a haram image. For a detailed discussion of this issue and the views of other madhhabs, see Ahkaam al-Tasweer fi’l-Fiqh al-Islami, pp. 224-240.

But we should point out two things:

This usage in chatting on the internet does not come under the drawing of images, rather it comes under the use of images.

Please see the answer to question no. 78963 .

Secondly: A woman should not use these images when speaking to a man who is not her mahram, because these faces are used to express how she is feeling, so it is as if she is smiling, laughing, acting shy and so on, and a woman should not do that with a non-mahram man.

It is only permissible for a woman to speak to men in cases of necessity, so long as that is in a public chat room and not in private correspondence.

And Allah knows best.

https://islamqa.info/en/answers/110504/ruling-on-drawing-smiley-faces-when-chatting-on-the-internet

Iseyin Indigenes Remain in Kidnappers' Den - 3 Months After Abduction in Kaduna

...Kidnappers insist on N100m ransom
...Families seeking Tinubu, Makinde's intervention

Three indigenes of Iseyin local government area, Oyo state, abducted by weapon-wielding kidnappers in Kaduna state, are still in the den of their abductors —barely three months after they were whisked away at gunpoint in their home.

Squadron Leader Nurudeen Popoola, a Nigerian Air Force (NAF) officer and his wife, Ganiyat Olawale-Popoola – a medical doctor, were abducted at 1am at their residence at the National Eyes Center Quaters, Mando, Kaduna, on December 27, 2023.

Kidnapped with them is Abdulmugniy Folaranmi, a 16-year-old 100-level student of the Nigerian Air Force Institute of Technology, Kaduna.

The kidnappers have since demanded N100 million ransom amid threats to harm, leaving the families of the victims in fear and mounting pressure.

Kidnappers insist on N100m
Speaking with DAILY INSIDER, a relative of the victims, said efforts to meet the N100 million ransom demand by the kidnappers have not been fully yielding, though close to N50 million has been raised.

According to him, the family appealed to the kidnappers to reduce the ransom to N50 million, but they refused and threatened to harm their abductors.

“The last time they called, we told them the amount gathered was not up to N100 million; they flared up and insisted on their demand.

“As it is now, we are helpless. We have sold almost everything. We rely on God to make their release possible,” he told this publication.

Family appeal to Makinde, Tinubu as insecurity bites hard
Meanwhile, the families of the victims have appealed to Governor Seyi Makinde of Oyo state and President Bola Ahmed Tinubu to come to the rescue of their kinsmen.

This publication reported that this appeal was contained in a statement released by the cousin of the Air Force officer, Alhaji Olatunde Rafiu (Isola), on January 17.

Addressing journalists in Ibadan, he said the family members have made frantic efforts to reach out to Governor Makinde through e-mail, as they could not meet with him physically.

“We are renewing our appeal to President Bola Ahmed Tinubu and our Governor, Engr. Seyi Makinde to please help us do something within the little time left of the ultimatum given, God Almighty will protect you, your children and your loved ones,” Folaranmi begged.

https://dailyinsiderng.com/iseyin-indigenes-remain-in-kidnappers-den-3-months-after-abduction/

Trick to multiplying a number with a higher number of 9s mentally without a calculator.


https://www.youtube.com/watch?v=heLgCmx3a78

Episode 3 - Writing Surds in its simplest/basic form

Although it is not possible to remove the radical on surds in such a way that it produces an integer or whole number, we can rewrite it in its simplest form by ensuring that the number underneath the root sign (called the radicand) has no square numbers as factors. In this video, I explain how.


https://www.youtube.com/watch?v=3UxgI7YMZSk

Debangis20:
Amin Ya Hayyu Ya Qayyum.

Thank you, @Lukgaf . Admire you for propagation of Islamic contents. Jazaakallahu khaira.

Thanks sir

Brief Commentary from Hadith Commentary

- Many scholars considered this hadith in terms of its isnad to be weak. Due to this it is best to avoid saying this is what the prophet (SallaAllahu ‘alayhi wasallam) said.

- This hadith in terms of its meaning is sound, hence it should be studied as it contains many wise words and advice

- The wording of this hadith “Verily Allah the Almighty has prescribed the obligatory deeds…” implies that Allah is the sole legislator. This means great care should be taken when giving an Islamic ruling as we are effectively saying, “Allah says so and so”, therefore giving Islamic rulings is like speaking on behalf of Allah.

- Imam Malik used to say, “I have seen many of our scholars answer a question by saying I dislike this or I do not like it, and did not answer by saying halal or haram”.

- The statement of Imam Malik shows how the great scholars of the past used to have so much fear of speaking on behalf of Allah that although matters were clearly haram, they used to avoid saying it is haram, but said I dislike it.

- The sahabah did not ask much if something is disliked or recommended as they used to do what Allah loves, whether obligatory or recommended, and used to abstain from what He dislikes, whether forbidden or disliked.

- The limits that are being referred to in this hadith are the things which separate halal from haram, so we Allah has put these limits therefore we must not go beyond them by going from halal into haram.

- Not everything that the shari’ah doesn’t mention explicitly is permissible to do as some prohibitions are understood from implicit evidences e.g. we implicitly understand from the verse of not saying “uff” to the parents that it is also forbidden to hit them.

- Not asking many questions was more severe in the time of the prophet (SallaAllahu ‘alayhi wasallam), as it may result in a ruling to be legislated which makes things harder, as what happened when Musa was asked about the details of the cow that needed to be sacrificed.

Although the prophet (SallaAllahu ‘alayhi wasallam) has passed away and there is no risk of making the religion more difficult, we must still not ask questions on things which are of no benefit to us, or of things which are not meant to be known e.g. how does Allah look like, etc

Benefits and Action points

-Allah has made this religion easy for us, as the permissible matters far exceed the forbidden matters so we should be grateful to Allah for that
-We should also be grateful to Allah for making the shari’ah very easy and not complicated
-Understand that when saying something is halal or haram, you are speaking

This week, let's review the 30th hadith of the forty hadith of An-nawawih. For the past review, see here

It was narrated on the authority of Abi Tha’labah Al-Khushani Jurthum bin Nashir (RadhiyAllahu ‘anhu) that the Messenger of Allah (SallaAllahu ‘alayhi wasallam) said:

“Verily Allah the Almighty has prescribed the obligatory deeds, so do not neglect them; He has set certain limits, so do not go beyond them; He has forbidden certain things, so do not indulge in them; and He has said nothing about certain things, as an act of mercy to you, not out of forgetfulness, so do not go enquiring into these”

(Reported by Al-Daraqutni and others)

Sha'ban is upon us. According to the counting of Sultan, today (Friday, 9th of February) corresponds to the 28th day of Rajab, indicating that the first day of Sha'ban will fall on either Sunday or Monday. Are we preparing for this month?

'A'ishah, may Allah be pleased with her, narrated: “The Messenger of Allah (blessings and peace be upon him) used to fast until we thought he would never break his fast, and then he would refrain from fasting until we thought he would never fast. I never saw the Messenger of Allah fasting for an entire month except in Ramadan, and I never saw him fast more than he did in Sha'ban.” (Reported by Al-Bukhari, no. 1833; Muslim, no. 1956).

According to another narration reported by Muslim (no. 1957): “He used to fast the entire month of Sha'ban, except for a few days.”

Let us endeavor to observe fasting during this blessed month and increase our worship in anticipation of the upcoming Ramadan. This presents another opportunity for women who may have missed fasts during the previous Ramadan.

May Allah grant us success, accept our worship, bless us with longevity, good health, wealth, and steadfast faith.

Episode 68


In today's episode (Episode 68), the author continued his explanation of differentiation (remember, the topic was introduced as part of the foundational topics in Program F12 (Episode 42)). In this new program (Program 7, page 544), following the author's exposition, I reviewed derivatives and some standard derivatives, as well as methods of differentiating functions in their various forms. I concluded the video with an explanation of logarithmic functions - an easier method to differentiate more than two functions when the product/quotient rule might be longer to use.


https://www.youtube.com/watch?v=P7OFHm2LG84

Laws of Surds


https://www.youtube.com/watch?v=fvp-9gey8Us

Let's start a new topic in our "daily series" - SURDS. In this video and the ones to come, I will take you through this fascinating topic with explanations in Yoruba.

PS: Our next quiz competition on Ale isiro at Math in Yorùbá with Lukgaf will be based on this topic.
Let's go!



https://www.youtube.com/watch?v=2IpHfFs-III

At the end of the first topic

ÌSIRÒ NÍ ‘SẸ́JÚ KAN PẸ̀LÚ 09

Trick to multiplying a number with an equal number of 9s mentally without a calculator.

E.g. 456789 x 999999


https://www.youtube.com/watch?v=seZEWYnDsjk

As we navigate the challenges of economic hardship in Nigeria, it is crucial to reflect on the ethical choices we make, especially when it comes to our earnings. Our beloved Prophet Muhammad (peace be upon him) emphasized the significance of halal sustenance, that this life is temporary, and our actions will be accounted for in the eternal Hereafter.

In the face of economic difficulties, the allure of quick, albeit unlawful, gains may be tempting. However, let us be mindful that the temporary relief such earnings provide carries eternal consequences. Allah, in His infinite wisdom, has prohibited certain means of acquiring wealth, and our commitment to halal earnings is a testament to our faith and trust in His divine provisions.

Allah says:

"And do not consume one another's wealth unjustly or send it [in bribery] to the rulers in order that [they might aid] you [to] consume a portion of the wealth of the people in sin, while you know [it is unlawful]." (Quran 2:188)"

In closing, it is important to discern genuine scholars from those who may mislead. There are individuals who, unfortunately, lend an ear to half-backed scholars subtly endorsing unlawful practices.

A genuine scholar, firmly grounded in knowledge, would unequivocally discourage engaging in illicit activities such as 'yahoo yahoo' or any form of dishonest earnings. True scholars are guardians of the ethical and lawful principles outlined in Islam, guiding us toward righteousness, patience, and trust in Allah's mercy during challenging times.

May Allah grant us strength, resilience, and the wisdom to make choices that align with His commandments.

This week, let's review the 29th hadith of the forty hadith of An-nawawih. For the past review, see here

"On the authority of Muadh bin Jabal (may Allah be please with him) who said:

I said, 'O Messenger of Allah, tell me of an act which will take me into Paradise and will keep me away from the Hellfire.' He (peace be upon him) said, 'You have asked me about a great matter, yet it is easy for him for whom Allah makes it easy. Worship Allah without associating any partners with Him; establish the prayer; pay the Zakah; fast in Ramadan; and make the pilgrimage to the House.'

"Then he (peace be upon him) said, 'Shall I not guide you towards the means of goodness? Fasting is a shield, charity wipes away sin as water extinguishes fire, and the praying of a man in the depths of the night.' Then he (peace be upon him) recited: '[Those] who forsake their beds, to invoke their Lord in fear and hope, and they spend (charity in Allah's cause) out of what We have bestowed on them. No person knows what is kept hidden for them of joy as a reward for what they used to do' [as-Sajdah, 16-17].

"Then he (peace be upon him) said, 'Shall I not inform you of the head of the matter, its pillar and its peak?' I said, 'Yes, O Messenger of Allah.' He (peace be upon him) said, 'The head of the matter is Islam, its pillar is the prayer and its peak is jihad.' Then he (peace be upon him) said, 'Shall I not tell you of the foundation of all of that?' I said, 'Yes, O Messenger of Allah.' So he took hold of his tongue and said, 'Restrain this.' I said, 'O Prophet of Allah, will we be taken to account for what we say with it?' He (peace be upon him) said, 'May your mother be bereaved of you, O Muadh! Is there anything that throws people into the Hellfire upon their faces, or on their noses, except the harvests of their tongues?'

[Tirmidhi]"


The key points are as follows:

Essentials for Paradise:

- Muadh seeks advice from the Prophet (peace be upon him) on actions leading to Paradise and safeguarding against Hellfire.
- The Prophet's response emphasizes fundamental acts: worshiping Allah alone, establishing prayer, giving Zakah, observing fasting in Ramadan, and performing the pilgrimage.

Means of Goodness:

- The Prophet expands on additional means of goodness: fasting as a shield, charity erasing sins like water extinguishing fire, and night prayer.
- The emphasis on nighttime prayer highlights its significance in drawing near to Allah.

Guidance on the Essence of Islam:

-The Prophet succinctly outlines the essence of Islam: Islam as the head, prayer as its pillar, and jihad as its peak.
- This hierarchy signifies the centrality of submission to Allah, the importance of prayer, and the pinnacle of striving for His cause.

Foundation of All Matters:

-The Prophet identifies the foundation of all these principles by symbolically holding his tongue.
-The restraint of the tongue is emphasized, underscoring the accountability for careless words.

Warning Against Harmful Speech:
-The Prophet illustrates the potential harm of the tongue, emphasizing its role in leading individuals to the Hellfire.
-This serves as a powerful reminder of the consequences of thoughtless speech and the need for mindful communication.

In essence, this hadith imparts comprehensive guidance, urging believers to adhere to the fundamental tenets of Islam, engage in virtuous deeds, and exercise caution in their speech.

Episode 1 - Orientation


https://www.youtube.com/watch?v=yneV0ha5eS4?si=J84Qvc5cb5hLNliI

Episode 67 - Cross product


https://www.youtube.com/watch?v=uLH5Ie5LSyM

The government should sanction one of the banks as a scape goat and others will follow the rules

Bullfallo:
Tinubu done tire

The Solution To Nigeria FX Problem

How CBN can tackle raising inflation and bring down usd 1$ back to N200 or N500 at most.

1, For Nigerians travelers ( that needs physical cash BTA)
Asign personnel to Exchange fx directly from the Airport only with requirements like visa and traveling ticket evidence.

2, most of the Exchange fx can as well be gotten from the returning at the airport from those who might want to change their fx.

3. A) all Nigerians that needs foreign currency must open an E-naira accounts. Confiscate and mop up all physical foreign currency trading in the market and issue them the digital currency wallet via the e-naira. They can hoard limited fx if they like but it must be digital on the e-naira wallet and not on the physical notes.

B) Create a dollar, pounds, euro wallet account . (At least the major currency Nigerians are mostly using) inside the E-naira platform where people can conveniently move monies from there enaira account at the approved exchange rate converted to all currency wallets. They can as well convert it back to naira wallet any time as needed.

C) Major importers will have to registered with the CBN and ensure they are truly importers and have their limit increases base on their import capacity. No physical dollar will be giving but digital dollars on their e-naire. Also encourage foreign merchants especially the Chinese to open an enaira wallet for easier transactions. Cbn will need to promote and sell the enaire idea to Chinese merchants.

D) mini importers and others can make purchases online with the enaira dollar mastercards at a minimum limit of 5k or 10k usd a year.

E) flight tickets booking should be done via enaira master cards.

F) school fees or those sending money abroad can use the same enaira cards or crypto currency as it already been done.

Hope criminally minded Nigerians will not game this

ÌSIRÒ NÍ ‘SẸ́JÚ KAN PẸ̀LÚ 08

Trick to squaring numbers between 50 & 60


https://www.youtube.com/watch?v=xrxG1I2jf_c