Channel Title: numericalmethodsguy Channel Description: We are dedicated to bringing Numerical Methods worldwide to undergraduates. You have several other resources that will help you to improve your understanding of numerical methods. First is the Holistic Numerical Methods at https://nm.MathForCollege.com where you get all content in one place. Second is a blog at https://blog.AutarKaw.com where questions asked by students are answered at length. The third is a MOOC on Numerical Methods. Sign up at https://canvas.instructure.com/enroll/KYGTJR The fourth is the open education resource textbook at https://nm.mathforcollege.com/NumericalMethodsTextbookUnabridged Follow me at various social media sites at http://autarkaw.com/side-page/ Support us by getting merchandise at https://www.youtube.com/user/numericalmethodsguy/store <video> Chapter 3: Example for Weight Fractions, and Density of Composite: Micromechanics of Lamina Description: See how weight fractions and density are calculated for a lamina, given the density of the fiber and the matrix and the fiber volume fraction. </video> <video> Multiple Chance Testing as a Gateway to Standards-Based Grading Podcast Generated by NotebookLM Description: The podcast titled "Multiple Chance Testing as a Gateway to Standards-Based Grading" by Autar Kaw, dated May 6, 2024, discusses the limitations of traditional grading systems and explores the concept of Standards-Based Grading (SBG) as an alternative. SBG focuses on assessing students' mastery of specific learning objectives rather than using points or percentages for assignments and exams. This method aims to foster a growth mindset by providing students multiple opportunities to demonstrate their proficiency. The podcast shares their reservations about adopting SBG in a large enrollment class, such as the Numerical Methods class at the University of South Florida. They found the implementation of SBG to be overwhelming due to the need to track numerous standards for each student. The document also highlights the challenges of using short quizzes and retakes and the equity issues that arise when students cannot attend additional sessions to demonstrate proficiency. To address these challenges, the author adopted a subset of SBG called Standards-Based Testing (SBT) and incorporated Multiple-Chance Testing (MCT) for midterms and online quizzes. The traditional grading system was modified to include MCT, which accounted for 60% of the grade. The course was divided into eight standards, each corresponding to a chapter, and students were given multiple opportunities to improve their scores through retests and final exams. The podcast details the course structure, including the use of LMS quizzes, midterm tests, and final exams. It explains how students could retake quizzes and tests to recoup half of the missed points and how the final exam served as a third-chance test for all eight standards. The author also describes the use of an Excel spreadsheet to help students track their grades throughout the semester. The findings from comparing a course with MCT to one without indicated that MCT resulted in higher final exam scores, a more significant proportion of 'A' grades, and a more positive classroom environment. Students appreciated the opportunity for retakes and the reduced stress associated with standards-based testing. However, some students mentioned the difficulty of knowing their ongoing grades in the course. The podcast concludes with questions for the reader about the implementation of MCT and how to maximize its advantages while minimizing drawbacks for both students and instructors. </video> <video> Chapter 07.01. Review of Reimann Sum for Numerical Integration Description: You learned Reimann sum in Integral Calculus. We revisit the concept to present a numerical integratio technique you already know. Please subscribe and ask your friends to subscribe - our goal is to get to 100,000 subscribers. To get even more help, subscribe to the numericalmethodsguy channel https://www.youtube.com/user/numericalmethodsguy, and go to http://MathForCollege.com/nm and http://MathForCollege.com/ma for more resources. Follow the numerical methods blog at http://blog.AutarKaw.com. You can also take a free massive open online course (MOOC) at https://canvas.instructure.com/enroll/KYGTJR Please share these links with your friends and fellow students through social media and email. Support the channel if you are able to do so at https://www.youtube.com/user/numericalmethodsguy/store </video> <video> Chapter 07.01 Prior Knowledge Needed to Learn Numerical Integration Description: In this video, you review prior knowledge to learn numerical integration. Please subscribe and ask your friends to subscribe - our goal is to get to 100,000 subscribers. To get even more help, subscribe to the numericalmethodsguy channel https://www.youtube.com/user/numericalmethodsguy, and go to http://MathForCollege.com/nm and http://MathForCollege.com/ma for more resources. Follow the numerical methods blog at http://blog.AutarKaw.com. You can also take a free massive open online course (MOOC) at https://canvas.instructure.com/enroll/KYGTJR Please share these links with your friends and fellow students through social media and email. Support the channel if you are able to do so at https://www.youtube.com/user/numericalmethodsguy/store </video> <video> Chapter 08.01 Fundamental Theorem of Calculus: Finding an Integral as Ordinary Differential Equation Description: This video shows how we use the Fundamental Theorem of Calculus to find an integral by posing it as an ordinary differential equation. Please subscribe and ask your friends to subscribe - our goal is to get to 100,000 subscribers. To get even more help, subscribe to the numericalmethodsguy channel https://www.youtube.com/user/numericalmethodsguy, and go to http://MathForCollege.com/nm and http://MathForCollege.com/ma for more resources. Follow the numerical methods blog at http://blog.AutarKaw.com. You can also take a free massive open online course (MOOC) at https://canvas.instructure.com/enroll/KYGTJR Please share these links with your friends and fellow students through social media and email. Support the channel if you are able to do so at https://www.youtube.com/user/numericalmethodsguy/store </video> <video> Chapter 3: Longitudinal Coefficient of Thermal Expansion of a Unidirectional Lamina: Theory Description: See the derivation of the longitudinal coefficient of thermal expansion of a unidirectional composite lamina. In this video, the formula for the longitudinal coefficient of thermal expansion of a unidirectional lamina is derived. The video does not cover the transverse coefficient of thermal expansion, which will be addressed in a separate module. The longitudinal direction is along the fibers, while the transverse direction is perpendicular to the fibers. The video explains that the thermal expansion coefficient depends not only on the thermal expansion properties of the fiber and matrix but also on their Young's modulus and Poisson's ratio. The video also reviews basic concepts from mechanics of solids, such as the relationship between thermal expansion and mechanical stress. It explains how mechanical stress occurs when a material is constrained and cannot expand freely. This concept is important for understanding the behavior of fiber-matrix composites, where the fiber and matrix have different thermal expansion coefficients. The derivation of the formula for the longitudinal thermal expansion coefficient involves considering the strain in the fiber, matrix, and composite. The video shows that the strain in the composite is the same as the strain in the fiber and matrix in the longitudinal direction. The stress in the fiber and matrix is related to their Young's modulus and the difference between the actual strain and the free expansion strain. Finally, the video derives the expression for the longitudinal thermal expansion coefficient by considering the overall force balance in the composite. The derived formula shows that the thermal expansion coefficient in the longitudinal direction depends on the thermal expansion properties and Young's modulus of both the fiber and matrix. </video> <video> Chapter 3: Voids, Void Fractions, Derivation, Experimental, Example: Micromechanics of a Lamina Description: Lean about what voids do to the properties of a composite lamina, how to calculate void fractions, how to find void fractions experimentally, example to calculate void fractions. </video> <video> Chapter 3 Coefficients of Thermal Expansion of a Unidirectional Lamina: Example Description: See via example how to calculate the coefficients of thermal expansion of a unidirectional lamina. </video> <video> Chapter06.01 Prior Knowledge for Regression. Simple Statistics. Description: Learn simple statistics as prior knowledge needed for regression. Main items are average, sum of squares total, variance and standard deviation. Please subscribe and ask your friends to subscribe - our goal is to get to 100,000 subscribers. To get even more help, subscribe to the numericalmethodsguy channel https://www.youtube.com/user/numericalmethodsguy, and go to http://MathForCollege.com/nm and http://MathForCollege.com/ma for more resources. Follow the numerical methods blog at http://blog.AutarKaw.com. You can also take a free massive open online course (MOOC) at https://canvas.instructure.com/enroll/KYGTJR Please share these links with your friends and fellow students through social media and email. Support the channel if you are able to do so at https://www.youtube.com/user/numericalmethodsguy/store </video> <video> Chapter 3: Introduction to Micromechanics of a Lamina Description: Introducing why we need to learn about micromechanics of a lamina </video> <video> Chapter 04.07:Lesson: An Example of LU Decomposition Method of Solving Simultaneous Linear Equations Description: Learn the LU decomposition method of solving simultaneous linear equations via an example. For more resources, go to https://nm.mathforcollege.com/chapter-04-07-lu-decomposition-method/ See the playlist https://www.youtube.com/playlist?list=PL025E2EC677B70051 to answer questions How is a matrix decomposed into LU form? What is the basis of the LU Decomposition method? Why LU Decomposition - looks so similar to Gaussian elimination? For a complete playlist on LU Decomposition Method, go to https://www.youtube.com/playlist?list=PL025E2EC677B70051 Please subscribe and ask your friends to subscribe - our goal is to get to 100,000 subscribers in a year! To get even more help, subscribe to the numericalmethodsguy channel https://www.youtube.com/user/numericalmethodsguy, and go to http://MathForCollege.com/nm and http://MathForCollege.com/ma for more resources. Follow the numerical methods blog at http://blog.AutarKaw.com. You can also take a free massive open online course (MOOC) at https://canvas.instructure.com/enroll/KYGTJR Please share these links with your friends and fellow students through social media and email. Support the channel, if you are able to do, so at https://www.youtube.com/user/numericalmethodsguy/store </video> <video> Chapter06.01 Prior Knowledge for Regression: Absolute Minimum of a Function of One Variable. Description: Review finding the absolute minimum of a function of one variable. Please subscribe and ask your friends to subscribe - our goal is to get to 100,000 subscribers. To get even more help, subscribe to the numericalmethodsguy channel https://www.youtube.com/user/numericalmethodsguy, and go to http://MathForCollege.com/nm and http://MathForCollege.com/ma for more resources. Follow the numerical methods blog at http://blog.AutarKaw.com. You can also take a free massive open online course (MOOC) at https://canvas.instructure.com/enroll/KYGTJR Please share these links with your friends and fellow students through social media and email. Support the channel if you are able to do so at https://www.youtube.com/user/numericalmethodsguy/store </video> <video> Chapter 07.05 One Point Gauss Quadrature Rule: Derivation and Example (Revised) Description: Learn how to derive and use one point Gauss quadrature rule to estimate an integral. For more resources, go to https://nm.mathforcollege.com/chapter-07-05-gauss-quadrature/ Please subscribe and ask your friends to subscribe - our goal is to get to 100,000 subscribers by the end of 2021. To get even more help, subscribe to the numericalmethodsguy channel https://www.youtube.com/user/numericalmethodsguy, and go to http://MathForCollege.com/nm and http://MathForCollege.com/ma for more resources. Follow the numerical methods blog at http://blog.AutarKaw.com. You can also take a free massive open online course (MOOC) at https://canvas.instructure.com/enroll/KYGTJR Please share these links with your friends and fellow students through social media and email. Support the channel if you able to do so at https://www.youtube.com/user/numericalmethodsguy/store </video> <video> Chapter 3: Fiber & Matrix Volume & Weight Fractions, Density of Composite: Micromechanics of Lamina Description: See how you can find fiber and matrix volume and weight fractions. See how you can derive density of a composite. </video> <video> Chapter06.01. Prior Knowledge for Regression: Partial Derivatives Description: As prior knowledge to regression, learn how to take partial derivatives. Please subscribe and ask your friends to subscribe - our goal is to get to 100,000 subscribers. To get even more help, subscribe to the numericalmethodsguy channel https://www.youtube.com/user/numericalmethodsguy, and go to http://MathForCollege.com/nm and http://MathForCollege.com/ma for more resources. Follow the numerical methods blog at http://blog.AutarKaw.com. You can also take a free massive open online course (MOOC) at https://canvas.instructure.com/enroll/KYGTJR Please share these links with your friends and fellow students through social media and email. Support the channel if you are able to do so at https://www.youtube.com/user/numericalmethodsguy/store </video>

Contacts and Links

Description

We are dedicated to bringing Numerical Methods worldwide to undergraduates. You have several other resources that will help you to improve your understanding of numerical methods.

First is the Holistic Numerical Methods at https://nm.MathForCollege.com where you get all content in one place.

Second is a blog at https://blog.AutarKaw.com where questions asked by students are answered at length.

The third is a MOOC on Numerical Methods. Sign up at https://canvas.instructure.com/enroll/KYGTJR

The fourth is the open education resource textbook at https://nm.mathforcollege.com/NumericalMethodsTextbookUnabridged

Follow me at various social media sites at http://autarkaw.com/side-page/

Support us by getting merchandise at https://www.youtube.com/user/numericalmethodsguy/store

Videos from channel