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Dr. John Mutuguta
เข้าร่วมเมื่อ 4 ก.ค. 2013
Dr. John Mutuguta is a highly respected lecturer of Applied Mathematics at Murang'a University of Technology. He holds a PhD in Applied Mathematics from Moi University.
He is a skilled trainer of trainers in online teaching and assessment, and he specializes in teaching lecturers how to use the R/exams package in R programming to set randomized exams and implement online exams using the Moodle platform. He is known for his ability to simplify complex topics and make them accessible to learners of all levels.
In addition to his expertise in online teaching and assessment, Dr. Mutuguta is also proficient in MATLAB programming and R programming for statistical computing. His passion for mathematics and dedication to teaching have earned him a reputation as a respected authority in his field.
With his extensive knowledge and experience, Dr. Mutuguta is committed to inspiring and empowering students and fellow educators to reach their full potential.
He is a skilled trainer of trainers in online teaching and assessment, and he specializes in teaching lecturers how to use the R/exams package in R programming to set randomized exams and implement online exams using the Moodle platform. He is known for his ability to simplify complex topics and make them accessible to learners of all levels.
In addition to his expertise in online teaching and assessment, Dr. Mutuguta is also proficient in MATLAB programming and R programming for statistical computing. His passion for mathematics and dedication to teaching have earned him a reputation as a respected authority in his field.
With his extensive knowledge and experience, Dr. Mutuguta is committed to inspiring and empowering students and fellow educators to reach their full potential.
Logarithmic Differentiation
In this video we differentiate functions using the methods of Product rule, Quotient Rule, Chain Rule and the method of Logarithmic Differentiation
มุมมอง: 270
วีดีโอ
Differentiation by First Principles
มุมมอง 20316 ชั่วโมงที่ผ่านมา
In this video we demonstrate the method of Differentiation using First Principles using an example
Gauss Legendre Methods
มุมมอง 127วันที่ผ่านมา
In this video we evaluate the value of a definite integral using the methods of Gauss-Legendre methods
Trapezoidal and Simpson's Methods
มุมมอง 140วันที่ผ่านมา
In this video we evaluate the value of a definite integral using the methods of Trapezoidal and Simpson's 1/3 rules
Cobb Dauglas
มุมมอง 11721 วันที่ผ่านมา
Join us as we explore the intricacies of the Cobb-Douglas production function, a cornerstone in economic theory. This video will break down the essential components of this method, demonstrating how it models the relationship between inputs and outputs in production processes. Ideal for students, economists, and anyone intrigued by the mathematical frameworks that drive economic analysis, this ...
Lagrange Method
มุมมอง 5121 วันที่ผ่านมา
In this video, we discuss the fascinating world of Lagrange multipliers and their application to utility functions. Discover how this powerful mathematical tool can help solve optimization problems in economics, making complex calculations more intuitive and efficient. Whether you're a student of economics or just curious about advanced mathematical techniques, this video will provide a clear, ...
Optimization of Profit Functions
มุมมอง 651หลายเดือนก่อน
Discover the power of calculus in business with our in-depth exploration of profit optimization! In this video, we discuss how calculus can be used to maximize profits, covering key concepts like marginal cost, revenue functions, and critical points. Perfect for students, entrepreneurs, and math enthusiasts, this tutorial offers practical examples and step-by-step calculations to show how calcu...
Stationary Points for Functions of One variable
มุมมอง 477หลายเดือนก่อน
Unlock the secrets of calculus with my comprehensive guide to stationary points! In this video, we'll explore how to find and classify stationary points for functions of one variable. Perfect for students and mathematics enthusiasts, this tutorial covers essential concepts, step-by-step calculations, and practical examples to enhance your understanding. Join me and master this key topic in calc...
Stationary Points
มุมมอง 730หลายเดือนก่อน
Unlock the secrets of multivariable calculus with my comprehensive guide to stationary points! In this video, we'll explore how to find and classify stationary points for functions of two variables. Perfect for students and mathematics enthusiasts, this tutorial covers essential concepts, step-by-step calculations, and practical examples to enhance your understanding. Join me and master this ke...
Differentiation of Implicit Functions
มุมมอง 639หลายเดือนก่อน
This video covers everything you need to know about the application of total derivatives to find the derivative of implicit functions. Good for students and mathematics enthusiasts looking to enhance their understanding on partial derivatives and their applications.
Total Derivatives
มุมมอง 665หลายเดือนก่อน
This video covers everything you need to know about total derivatives with examples. Good for students and mathematics enthusiasts looking to enhance their understanding on partial derivatives and their applications.
Introduction to Partial Derivatives
มุมมอง 542หลายเดือนก่อน
Dive into the world of calculus with our clear and concise introduction to partial derivatives! This video covers everything you need to know about first and second order partial derivatives, including examples. Good for students and mathematics enthusiasts looking to enhance their understanding on partial derivatives.
Flow of Control Statements in Matlab
มุมมอง 96ปีที่แล้ว
Elevate your MATLAB programming skills with our latest tutorial on Flow of Control Statements! 🤖💻 In this video, we navigate the intricate world of decision-making and loop structures, unlocking the full potential of MATLAB's control flow capabilities.
Numerical Differentiation
มุมมอง 131ปีที่แล้ว
In this tutorial, we unravel the secrets behind the Two-Point Method and Richardson Extrapolation, demystifying the art of numerical derivatives. 🔢 Two-Point Method: Discover the simplicity and effectiveness of the Two-Point Method for numerical differentiation. We break down the fundamental concepts and guide you through the step-by-step process, empowering you to confidently apply this techni...
Symbolic Mathematics with MATLAB
มุมมอง 64ปีที่แล้ว
🔍 Discover the Magic of Symbolic Mathematics with MATLAB 🧮✨ Join us in this tutorial as we unravel the wonders of Symbolic Mathematics using MATLAB. Whether you're a student, researcher, or just curious about the power of symbolic computation, this video is your gateway to a whole new level of mathematical insight. 📚 What You'll Explore: * Introduction to symbolic variables and expressions * Pe...
Series Solution of Ordinary Differential Equations
มุมมอง 3592 ปีที่แล้ว
Series Solution of Ordinary Differential Equations
Integration by Differentiation relative to a parameter
มุมมอง 8232 ปีที่แล้ว
Integration by Differentiation relative to a parameter
D Operator Method for System of Differential Equations.
มุมมอง 3.9K2 ปีที่แล้ว
D Operator Method for System of Differential Equations.
👍🏾 Great explanation
Nice work Dr🎉
Thanks for watching!
amazing
very helpful
yeah amazing work, precise and clear, I love it
This is interesting and informative.
Great explanation
Hi! Can i ask what pdf document you are using? What book is it from? Would you be able to share it?
Not a book, am using my notes. The derivations are not from a book
🔥🔥🔥
🎊
Great explanation, thank you so much sir
I derved fomula in two ways both universal for orthogonal polynomials 1) from recurrence relarion 2) from ordinary differential equation Way presented on this video is maybe shorter but possible for Chebyshov polynomials only Ad 1) I derived recurrence relation the same way as presented on this video but i solved it in following way * I defined exponential generating function (ordinary generating function gives me trigonometric solution from which i started) * I solved ordinary differential equation with initial conditions via Laplace transform * I got exponential generating function E(x,t) = exp(xt)cos(sqrt(1-x^2)t) (Here wikipedia claims that this is hyperbolic cosine but x is in [-1;1] so trigonometric cosine is better because avoid imaginary argument) * I calculated nth derivative of exponential generating function via Leibniz product rule and evaluated it at t = 0 Here I went further and used binomial expansion and got double sum * In this double sum I reindex inner sum and then changed order of summation Ad 2) I started from T_{n}(x)=cos(narccos(x)) Let t = arccos(x) y(t) = cos(nt) y'(t) = -nsin(nt) y''(t) = -n^2cos(nt) y''(t) = -n^2y(t) y''(t)+n^2y(t)=0 Here I used change of independent variable t = arccos(x) and i got (1-x^2)y''(x) - xy'(x) + n^2y(x) = 0 Now i used power series solution to sove this equation I got recurrenece relation for sequence of coefficients I splitted this sequence into two subsequences (for even and odd terms) I expressed values of these subsequences in terms of product and then i combined them into one sequence If we have two sequences a_{m} and b_{m} and we want to merge them into one sequence c_{m} such that a_{m} are even terms of sequence c_{m} and b_{m} are odd term of c_{m} then sequence c_{m} can be expressed as c_{m}=(1+(-1)^m)/2*a_{m}+(1-(-1)^m)/2*b_{m} There are Chebyshov polynomials of the second kind but they can be expessed with first derivative of Chebyshov polynomials of the first kind Itcan be observed that leading coefficients of T_{n}(x) = 2^{n-1} it is actually not true for n=0
very informative session
Interesting
I index the coefficients of numerators so i have not problems with lack of the letters in alphabet
Done! Thanks for Clear & precise explanation Mw.
I have 15 years temperature data. How can I determine the trend by using these temperature data?
For a large volume of data, a neural network will do a better fit. You can use the Neural Net Fitting tool in MATLAB
Good explanation sir, in third example while find y you take +ve sign in place of -ve sign
One of the best lecturers in existence.... best explained
Good explanation.. thanks
🙏🏾
very educative.
Informative 👍
Great work sir. I just love how elaborate you are.
Glad you enjoy it!
Get the Video transcripts here: drive.google.com/file/d/1TdzBpYO3E0WhxXsk9s09ZGMsr5mHDX01/view?usp=sharing
👏👏👏
Good content.🙂
The content is clear and informative.
I really learnt a lot. Thank you Dr. Mutuguta
This is great sir... thanks alot
I remember this method
plus and minus symbol in matlab???
The plus and minus can be typed from keyboard
Professor 💪💪
Proud to be in your class back in the days, God's speed
keep winning
Good content Dr. , I enjoyed your teaching methods.
symbolic maths 👍
I would love to learn this too. Thumbs up to my COD
promosm
👌
It's phenomenal for you to impart me with a lot of knowledge , sir . Receive deluge of blessings from God.
This is interesting. Simple and easily understood. nice work
nice work Dr.
Reading my notes while listenig to you. This is an amazing explanation sir. God bless you
Thank you
Nice one daktari
Thank you