JAMB/UTME series episode 20 - Inequalities

In today's episode (episode 20), I delved into the topic of Inequalities, starting with an explanation of the concept. I provided a detailed explanation of how to solve and graph linear inequalities, as well as how to solve and graph quadratic and rational inequalities.


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

JAMB/UTME series episode 21 - Sequence and series 1

In today's episode (episode 21), I introduced the topic of sequences and series. I explained that a sequence is a list of numbers arranged in a definite order, and covered various types of sequences before focusing on arithmetic (linear) and geometric (exponential) sequences. I derived the nth-term formulas for these two special sequences and solved past questions using them. Additionally, I covered arithmetic means and geometric means. In the next episode, I will continue by explaining the concept of partial sums and series.


https://www.youtube.com/watch?v=3ihLbNgk9QM

JAMB/UTME series episode 22 - Sequence and series 2

In episode 22, I elaborated on partial sums and series, providing practical examples from past questions. Furthermore, I derived the sum of AP, GP, and the sum to infinity, and solved problems relating to them. I look forward to seeing you in tomorrow's episode.



https://www.youtube.com/watch?v=Hu597VEyVH8

JAMB/UTME series episode 23 - Matrices and Determinant

In today's episode, I began discussing matrices. Starting with the components and types, I went on to explain how to add, subtract, and multiply matrices (scalar and matrix multiplication). I also covered how to calculate the determinant of 2x2 and 3x3 matrices, as well as their inverses. By the end of the episode, students following the series should be confident in their ability to solve at least 25/40 UTME examination questions. Join me again next week as we explore the fascinating world of geometry.


https://www.youtube.com/watch?v=5aimV_otJtc

JAMB/UTME series episode 24 - Properties of lines and angles

In tonight's episode (episode 24), I explored the captivating world of Euclidean geometry. I provided a concise overview of geometry and its different types. I discussed lines, angles, and their properties. Furthermore, I demonstrated the application of these properties, such as interior, exterior, corresponding, opposite, supplementary, complementary, and conjugate angles etc, to solving some past questions


https://www.youtube.com/watch?v=D_F9Zu4P9p4

JAMB/UTME series episode 25 - Polygon, triangle, properties, congruency and similarity

In Episode 25, I continued exploring the world of geometry. I began by discussing polygons, focusing on triangles and their properties, as well as some useful theorems. I applied these theorems to solve past questions and also discussed congruent and similar triangles.


https://www.youtube.com/watch?v=gdLUtw3JLxU

JAMB/UTME series episode 26 - Quadrilaterals

In this episode, I continued my exploration of the world of Geometry. I started by deriving the formulas for a polygon's interior and exterior angles and applied them to solve past questions. I also covered the properties of quadrilaterals, with a focus on parallelograms. From there, I derived several theorems and used them to solve more past questions. Additionally, I explained intercept theorems, the side splitter theorem, and angle bisectors. We will continue exploring the captivating world of circle geometry tomorrow, so join me then!


https://www.youtube.com/watch?v=maFD5uv_xY0

Episode 27 - Circle Geometry

In today's episode (episode 27), I explored the captivating world of circle geometry. I started by explaining the different parts of a circle and stated some circle theorems. I then applied these theorems to solve past questions, including the theorem on chords, angles at the center and semi-circle, cyclic quadrilaterals, tangent theorems, and alternate segment theorems.


https://www.youtube.com/watch?v=skGJo7fAqZo

JAMB/UTME series episode 28 - Calculus | Limits of functions


https://www.youtube.com/watch?v=Ng7wL48Ic64

In today's episode (episode 28), I delved into the world of Calculus. I discussed the fundamental concept of limits in functions. I carefully explained the limits of functions and demonstrated different approaches to solving them with examples.

Episode 29 - Longitude and latitude

In today's episode (episode 29), I covered the topic of longitude and latitude. I started by describing the Earth as a sphere, showed how to locate points on the Earth, identified the lines of latitude and longitude, and explained how to determine the angles of latitude and longitude. I also discussed how to find distances along small and great circles. Additionally, I provided various examples to illustrate these concepts.


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

Differentiation 1

In today's episode (Episode 30), I continued my exploration of the world of calculus with the topic of differentiation. I started by showing how to find derivatives of functions from the first principles. I then moved on to derive some standard derivatives and apply them to different types of functions, including products and quotients. By the end of the episode, you will have gained a better understanding of how to differentiate various functions.


https://www.youtube.com/watch?v=0PEA9DmczSo

Differentiation 2
Today, I continued my explanation on differentiation. In the first part of the video, my focus was on the chain rule, which allows us to differentiate composite functions. I covered how to differentiate implicit functions. In the last part, we explored practical applications of differentiation, such as finding the gradient of a curve, determining equations of tangents and normals, calculating rates of change, acceleration and velocity, and identifying stationary points.


https://www.youtube.com/watch?v=gOraIcZZXO8