Mathematical and Logical Sciences

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Statistical interpretation of Medical Research Results
Course

Statistical interpretation of Medical Research Results

"This course aims to familiarize the learner with the interpretation of statistical measures and methods used in medical publications. It covers topics ranging from simple descriptive characteristics like mean and median to EBM indicators, statistical tests, especially tests of proportion significance, and statistical models (linear and logistic). Each lesson provides practical examples of using these measures and tools in published medical articles.What will you learn?This course aims to familiarize the learner with the interpretation of statistical measures and methods used in medical publications. It covers topics ranging from simple descriptive characteristics like mean and median to EBM indicators, statistical tests, especially tests of proportion significance, and statistical models (linear and logistic). Each lesson provides practical examples of using these measures and tools in published medical articles.Who this course is designed for:This course is intended primarily for individuals who have contact with medical publications, especially:• Professionals involved in clinical research• Publishing doctors• Doctoral students in medical fields• Individuals planning a career related to the interpretation of medical research, such as employees of medical units affiliated with the Polish Academy of Sciences or other laboratories.About usThe course is conducted by Aneta Piechaczek, PhD. Statistician and econometrician. In the years 2017-2021, an employee of the Laboratory of Applications of Mathematics in Economics AGH UST. PhD in the field of Management and Quality Science, developing in her dissertation the issues of more advanced statistical analyses in socio-economic sciences. In 2021, she was nominated for the Didactics Laurel of AGH university. Author and co-author of several scientific publications related to data analysis and statistics. Statistician "

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Learn Calculus  (Best Online Course)  - Solved examples
Course

Learn Calculus (Best Online Course) - Solved examples

Mastering Calculus: From Derivatives to Differential Equations!Are you ready to conquer the challenging world of calculus with ease? This comprehensive course is designed to guide you through the fundamental concepts of calculus, including derivatives, differential equations, integration, and their practical applications.In this course, we will break down complex topics into simple, digestible lessons. You'll start with understanding derivatives, learning how to differentiate various types of functions and apply these skills to solve real-world problems. We'll explore the power of derivatives in analyzing and optimizing functions, providing you with practical tools for a wide range of applications.Next, we delve into differential equations, where you'll learn how to formulate and solve these equations, essential for modeling numerous physical and engineering systems. Our step-by-step approach ensures that even the most daunting problems become manageable.Integration, the inverse process of differentiation, will be our next focus. You'll master techniques of integration and learn how to apply them to compute areas, volumes, and solve practical problems. Finally, we’ll explore the fascinating applications of integration in various fields, solidifying your understanding and enhancing your problem-solving skills.This course is perfect for students, professionals, or anyone looking to build a strong foundation in calculus. By the end, you'll be equipped with the knowledge and confidence to tackle calculus challenges head-on. Join us on this journey to mastering calculus!

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Ace Advanced Calculus in 10.5 Hours (The Complete Course)
Course

Ace Advanced Calculus in 10.5 Hours (The Complete Course)

How This Course WorksWelcome to Ace Advanced Calculus in 10.5 Hours (The Complete Course)! This comprehensive course expands on foundational calculus, exploring the behavior and applications of functions in multiple dimensions. You'll delve into four main topics: Integral Calculus, Vector Calculus, Integral Theorems (including Green’s, Stokes’, and the Divergence Theorem), and an Introduction to Partial Differential Equations. Whether you're pursuing a degree in mathematics, physics, engineering, or another technical field, this course equips you with both theoretical insights and practical tools for tackling real-world problems.Who Should Take This Course?This course is perfect for:University students enrolled in Advanced Calculus or those who have completed Calculus III and Linear Algebra.Learners and professionals seeking a deeper understanding of multivariable calculus applications in their fields.Anyone eager to master advanced calculus concepts for academic or professional growth.Course OverviewAccess a rich learning experience featuring lecture videos, detailed notes, and practice problem sets with solutions. Topics include:Integral CalculusTwo-Variable Functions: Jacobians in polar coordinates, variable transformations in double integrals, and their applications.Gamma Function and Laplace Transform: Insights into key integrals and the Laplace transform.Three-Variable Functions: Jacobians in cylindrical and spherical coordinates, transformations in triple integrals, and practical applications.Surface Area and Surface Integrals: Calculations in Cartesian, cylindric

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Statistical interpretation of Medical Research Results
Course

Statistical interpretation of Medical Research Results

"This course aims to familiarize the learner with the interpretation of statistical measures and methods used in medical publications. It covers topics ranging from simple descriptive characteristics like mean and median to EBM indicators, statistical tests, especially tests of proportion significance, and statistical models (linear and logistic). Each lesson provides practical examples of using these measures and tools in published medical articles.What will you learn?This course aims to familiarize the learner with the interpretation of statistical measures and methods used in medical publications. It covers topics ranging from simple descriptive characteristics like mean and median to EBM indicators, statistical tests, especially tests of proportion significance, and statistical models (linear and logistic). Each lesson provides practical examples of using these measures and tools in published medical articles.Who this course is designed for:This course is intended primarily for individuals who have contact with medical publications, especially:• Professionals involved in clinical research• Publishing doctors• Doctoral students in medical fields• Individuals planning a career related to the interpretation of medical research, such as employees of medical units affiliated with the Polish Academy of Sciences or other laboratories.About usThe course is conducted by Aneta Piechaczek, PhD. Statistician and econometrician. In the years 2017-2021, an employee of the Laboratory of Applications of Mathematics in Economics AGH UST. PhD in the field of Management and Quality Science, developing in her dissertation the issues of more advanced statistical analyses in socio-economic sciences. In 2021, she was nominated for the Didactics Laurel of AGH university. Author and co-author of several scientific publications related to data analysis and statistics. Statistician "

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View Details30 points
Learn Calculus  (Best Online Course)  - Solved examples
Course

Learn Calculus (Best Online Course) - Solved examples

Mastering Calculus: From Derivatives to Differential Equations!Are you ready to conquer the challenging world of calculus with ease? This comprehensive course is designed to guide you through the fundamental concepts of calculus, including derivatives, differential equations, integration, and their practical applications.In this course, we will break down complex topics into simple, digestible lessons. You'll start with understanding derivatives, learning how to differentiate various types of functions and apply these skills to solve real-world problems. We'll explore the power of derivatives in analyzing and optimizing functions, providing you with practical tools for a wide range of applications.Next, we delve into differential equations, where you'll learn how to formulate and solve these equations, essential for modeling numerous physical and engineering systems. Our step-by-step approach ensures that even the most daunting problems become manageable.Integration, the inverse process of differentiation, will be our next focus. You'll master techniques of integration and learn how to apply them to compute areas, volumes, and solve practical problems. Finally, we’ll explore the fascinating applications of integration in various fields, solidifying your understanding and enhancing your problem-solving skills.This course is perfect for students, professionals, or anyone looking to build a strong foundation in calculus. By the end, you'll be equipped with the knowledge and confidence to tackle calculus challenges head-on. Join us on this journey to mastering calculus!

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Ace Advanced Calculus in 10.5 Hours (The Complete Course)
Course

Ace Advanced Calculus in 10.5 Hours (The Complete Course)

How This Course WorksWelcome to Ace Advanced Calculus in 10.5 Hours (The Complete Course)! This comprehensive course expands on foundational calculus, exploring the behavior and applications of functions in multiple dimensions. You'll delve into four main topics: Integral Calculus, Vector Calculus, Integral Theorems (including Green’s, Stokes’, and the Divergence Theorem), and an Introduction to Partial Differential Equations. Whether you're pursuing a degree in mathematics, physics, engineering, or another technical field, this course equips you with both theoretical insights and practical tools for tackling real-world problems.Who Should Take This Course?This course is perfect for:University students enrolled in Advanced Calculus or those who have completed Calculus III and Linear Algebra.Learners and professionals seeking a deeper understanding of multivariable calculus applications in their fields.Anyone eager to master advanced calculus concepts for academic or professional growth.Course OverviewAccess a rich learning experience featuring lecture videos, detailed notes, and practice problem sets with solutions. Topics include:Integral CalculusTwo-Variable Functions: Jacobians in polar coordinates, variable transformations in double integrals, and their applications.Gamma Function and Laplace Transform: Insights into key integrals and the Laplace transform.Three-Variable Functions: Jacobians in cylindrical and spherical coordinates, transformations in triple integrals, and practical applications.Surface Area and Surface Integrals: Calculations in Cartesian, cylindric

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Complete Calculus 1: Master Limits and Derivatives
Course

Complete Calculus 1: Master Limits and Derivatives

Unlock the power of Calculus and gain the confidence to solve even the most complicated mathematical problems.Calculus is often seen as a daunting subject, but it is the foundation of modern engineering, science, and economics. Whether you are a college student preparing for exams or a professional looking to refresh your skills, this course is designed to take you from the basics of functions to the advanced applications of integrals.What You Will LearnThis course provides a comprehensive, step-by-step journey through the core pillars of Calculus 1. Each section includes detailed video explanations followed by quizzes to ensure you have mastered the material before moving forward.Our curriculum is organised into six intensive sections:Section 1: Pre-Calculus (Functions): We begin with a vital introduction to functions and their types to ensure you have the necessary background for the rest of the course.Section 2: Limits: You will learn to properly understand and calculate different types of limits, a crucial step in defining derivatives.Section 3: Derivatives: Master the essential rules of differentiation, including the Power Rule, Chain Rule, and derivatives of trigonometric, constant, and rational functions.Section 4: Applications of Derivatives: Learn how to apply your knowledge to real-world scenarios, specifically focusing on finding the rate of change of one quantity with respect to another.Section 5: Integrals: We dive into the world of integration, covering both definite and indefinite integrals in detail.Section 6: Application of Integrals: Discover the practical uses of integration by calculating surface area, arc length, work, and the

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Become a Calculus 3 Master
Course

Become a Calculus 3 Master

HOW BECOME A CALCULUS 3 MASTER IS SET UP TO MAKE COMPLICATED MATH EASY:This 526-lesson course includes video and text explanations of everything from Calculus 3, and it includes 161 quizzes (with solutions!) and an additional 40 workbooks with extra practice problems, to help you test your understanding along the way. Become a Calculus 3 Master is organized into the following sections:Partial DerivativesMultiple IntegralsVectorsAND HERE'S WHAT YOU GET INSIDE OF EVERY SECTION:Videos: Watch over my shoulder as I solve problems for every single math issue you’ll encounter in class. We start from the beginning... I explain the problem setup and why I set it up that way, the steps I take and why I take them, how to work through the yucky, fuzzy middle parts, and how to simplify the answer when you get it.Notes: The notes section of each lesson is where you find the most important things to remember. It’s like Cliff Notes for books, but for math. Everything you need to know to pass your class and nothing you don’t.Quizzes: When you think you’ve got a good grasp on a topic within a course, you can test your knowledge by taking one of the quizzes. If you pass, great! If not, you can review the videos and notes again or ask for help in the Q&A section.Workbooks: Want even more practice? When you've finished the section, you can review everything you've learned by working through the bonus workbook. The workbooks include tons of extra practice problems, so they're a great way to solidify what you just learned in that section.HERE'S WHAT SOME STUDENTS OF BECOME A CALCULUS 3 MASTER HAVE TOLD ME:“Krista is an excellent teacher and her course is comprehensive. She is a clear communicator, mak

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Become a Calculus 1 Master
Course

Become a Calculus 1 Master

HOW BECOME A CALCULUS 1 MASTER IS SET UP TO MAKE COMPLICATED MATH EASY:This 292-lesson course includes video and text explanations of everything from Calculus 1, and it includes 76 quizzes (with solutions!) and an additional 19 workbooks with extra practice problems, to help you test your understanding along the way. Become a Calculus 1 Master is organized into the following sections:Limits & ContinuityDerivativesApplications of DerivativesAND HERE'S WHAT YOU GET INSIDE OF EVERY SECTION:Videos: Watch over my shoulder as I solve problems for every single math issue you’ll encounter in class. We start from the beginning... I explain the problem setup and why I set it up that way, the steps I take and why I take them, how to work through the yucky, fuzzy middle parts, and how to simplify the answer when you get it.Notes: The notes section of each lesson is where you find the most important things to remember. It’s like Cliff Notes for books, but for math. Everything you need to know to pass your class and nothing you don’t.Quizzes: When you think you’ve got a good grasp on a topic within a course, you can test your knowledge by taking one of the quizzes. If you pass, great! If not, you can review the videos and notes again or ask for help in the Q&A section.Workbooks: Want even more practice? When you've finished the section, you can review everything you've learned by working through the bonus workbook. The workbooks include tons of extra practice problems, so they're a great way to solidify what you just learned in that section.HERE'S WHAT SOME STUDENTS OF BECOME A CALCULUS 1 MASTER HAVE TOLD ME:“This course is absolutely amazing, I use both this course and the calc 2 course

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Integral Calculus-Mathematics
Course

Integral Calculus-Mathematics

1. Reduction Formulae 2. Beta function 3. Gamma functionReduction Formulae are recursive mathematical expressions that help evaluate integrals by reducing them to simpler forms, often in terms of lower powers or smaller expressions.A reduction formula is typically derived using integration by parts or recursion techniques and is useful when dealing with integrals involving powers of trigonometric, exponential, or polynomial functions.The Beta function, denoted as B(m,n)B(m, n)B(m,n), is a special function.It is a symmetric function, meaning:B(m,n)=B(n,m).B(m, n) = B(n, m).B(m,n)=B(n,m).Applications of Beta FunctionUsed in probability theory (Beta distribution).Appears in combinatorics and statistics.Integral evaluations in physics and engineering.The Gamma function, denoted as Γ(n)\Gamma(n)Γ(n), is a fundamental function in mathematics that generalizes the factorial function to non-integer values.Applications of the Gamma FunctionProbability & Statistics: Defines the Gamma and Beta distributions.Physics & Engineering: Used in quantum mechanics, thermodynamics, and wave functions.Complex Analysis: Extends factorials to the complex plane.Relation Between Beta and Gamma FunctionsThe Beta function and Gamma function are closely related through the following fundamental identity:B(m,n)=Γ(m)Γ(n)Γ(m+n)B(m, n) = \frac{\Gamma(m) \Gamma(n)}{\Gamma(m+n)}B(m,n)=Γ(m+n)Γ(m)Γ(n)​Differential Calculus- Reduction Formulae1. Reduction Formulae 2. Beta function 3. Gamma function

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Calculus Masterclass: Beginner to Advanced
Course

Calculus Masterclass: Beginner to Advanced

Interested to have a mastery in Calculus 1? Then this course is definitely for you.I have been teaching Calculus for 15 years and in this course, I have put up my best efforts to make learning Calculus as simple as possible.I will be taking you step-by-step from the Foundation of Calculus to the application of derivatives. With every tutorial you will gain crystal clear concept of how Calculus has been designed and how to solve complex mathematics questions by Calculus.This course has 180 lessons which includes both videos and explanatory notes of everything in Calculus 1. It has 42 quizzes to help you to check yourself how much you have understood the concept. The lessons in the videos has been taught in a very simple manner to let you have a strong hold from basics of Calculus to the Mastery in Calculus.I have organized Calculus 1 Masterclass in 4 Sections:Foundation of Calculus (Functions)Limits and ContinuityDerivativesApplication of DerivativesTangent and NormalIncreasing and DecreasingWhat this Course Includes:Videos: The videos are created in such a form to let you understand Calculus and make it as simple as possible. With every topic video there are videos which will explain the problem examples based on that topic. These example videos will increase your concept of that topic of how to apply and what steps to be taken while solving such problems or questions.Notes: Each section has its own explanatory notes. The notes of each topic contain the detail explanation of topic with graphical explanation to your concept as much clear as possible. These notes will also help you in your academic exams.Quizzes: The best way to check your concept is to attempt quizzes. That’s why in every section there are quizzes for on

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