This document provides information about an educational course workbook on understanding calculus by Professor Bruce H. Edwards of the University of Florida. It includes a biography of Professor Edwards, who has won numerous teaching awards and authored many mathematics textbooks. The workbook contains 36 lessons covering topics in calculus from limits to differential equations, with the goal of helping students understand calculus concepts, solve problems, and learn helpful tips. It is published by The Great Courses, an educational media company known for capturing expert university lectures on video and audio.
This document provides an overview and scope of the course "Understanding Calculus II: Problems, Solutions, and Tips". The course aims to further students' understanding of calculus through solving problems and its applications in science and engineering. It covers topics like differential equations, infinite series, and vector-valued functions. The goal is to illustrate how calculus can model real-world situations in physics, biology, geology and other fields. The course follows a standard university calculus curriculum and provides examples to enhance conceptual understanding without theoretical proofs. It also incorporates the use of graphing technology.
This document provides information about the high school counseling department and course registration process at a school. It outlines the counseling team and their roles, academic and college counseling resources, common issues students face, graduation requirements, diploma options, course pathways, and the course selection process. Parents and students attending an upcoming information session will learn details to help with high school course planning and registration.
Problem-Solving Capacity of Students: A Study of Solving Problems in Differen...theijes
Training towards the development of the capacity of learners has become an inevitable trend of world education. Vietnamese education also emphasizes the comprehensive development of the capacity and the quality of students. In mathematics teaching, there are some notable capacities such as problem-solving capacity, cooperation capacity, capacity for using mathematical language, computing capacity and so on. In particular, the problem-solving capacity is very important to students because it helps them to solve problems not only in mathematics but also in practice. In this paper, we want to investigate the problem-solving capacity of students in primary schools through a problem required to solve in different ways. The results of the study showed that students had enough the problem-solving capacity to find out various solutions to the given problem
1. The document outlines a mathematics curriculum covering the real number system over 20 days. It focuses on helping students understand key concepts like rational and irrational numbers through hands-on activities and solving real-life problems.
2. The curriculum is divided into three stages: exploring real numbers through number lines and games, having students firmly grasp operations and order axioms through investigations, and applying the concepts to daily life problems.
3. Student understanding and performance will be assessed through problems they formulate involving real numbers and multiple solution strategies.
The document discusses designing a systemic K-12 Common Core State Standards mathematics curriculum. It outlines a multi-phase process for task forces to collaboratively design units that vertically and horizontally align standards across grades. Specifically, it describes designing unit names, enduring understandings, essential questions, standards for mathematical practice, and vocabulary before integrating these elements into units of study. The document provides examples of how other states have structured their CCSS math course design and unit mapping.
This document provides an overview of the Applied Mathematics course. It is a non-ATAR 2 unit course focused on developing mathematical skills and techniques that have direct application to everyday activities. The course covers topics like financial mathematics, data, measurement, probability, and algebra over the preliminary and HSC years. It also includes focus studies applying math to areas like communication, driving, design, household finance, the human body, and personal resource usage. The goal is to provide a strong foundation for students' vocational pathways.
This course introduces students to the art of mathematical proofs through examples from geometry, set theory, number theory, and other areas of mathematics. It begins with the basics of logic and proof techniques before exploring direct proofs, indirect proofs, proofs by induction, and other methods. The goal is for students to appreciate the beauty and creativity involved in rigorous mathematical arguments.
This document provides information about a precalculus and trigonometry workbook created by The Great Courses. It includes a biography of the workbook's author, Professor Bruce H. Edwards of the University of Florida. The workbook is designed to accompany Professor Edwards' Great Courses lecture series on precalculus and contains 30 lesson guides on topics ranging from functions and complex numbers to trigonometric identities, vectors, and conic sections. It is published by The Great Courses, an educational media company located in Chantilly, Virginia.
This document provides an overview and scope of the course "Understanding Calculus II: Problems, Solutions, and Tips". The course aims to further students' understanding of calculus through solving problems and its applications in science and engineering. It covers topics like differential equations, infinite series, and vector-valued functions. The goal is to illustrate how calculus can model real-world situations in physics, biology, geology and other fields. The course follows a standard university calculus curriculum and provides examples to enhance conceptual understanding without theoretical proofs. It also incorporates the use of graphing technology.
This document provides information about the high school counseling department and course registration process at a school. It outlines the counseling team and their roles, academic and college counseling resources, common issues students face, graduation requirements, diploma options, course pathways, and the course selection process. Parents and students attending an upcoming information session will learn details to help with high school course planning and registration.
Problem-Solving Capacity of Students: A Study of Solving Problems in Differen...theijes
Training towards the development of the capacity of learners has become an inevitable trend of world education. Vietnamese education also emphasizes the comprehensive development of the capacity and the quality of students. In mathematics teaching, there are some notable capacities such as problem-solving capacity, cooperation capacity, capacity for using mathematical language, computing capacity and so on. In particular, the problem-solving capacity is very important to students because it helps them to solve problems not only in mathematics but also in practice. In this paper, we want to investigate the problem-solving capacity of students in primary schools through a problem required to solve in different ways. The results of the study showed that students had enough the problem-solving capacity to find out various solutions to the given problem
1. The document outlines a mathematics curriculum covering the real number system over 20 days. It focuses on helping students understand key concepts like rational and irrational numbers through hands-on activities and solving real-life problems.
2. The curriculum is divided into three stages: exploring real numbers through number lines and games, having students firmly grasp operations and order axioms through investigations, and applying the concepts to daily life problems.
3. Student understanding and performance will be assessed through problems they formulate involving real numbers and multiple solution strategies.
The document discusses designing a systemic K-12 Common Core State Standards mathematics curriculum. It outlines a multi-phase process for task forces to collaboratively design units that vertically and horizontally align standards across grades. Specifically, it describes designing unit names, enduring understandings, essential questions, standards for mathematical practice, and vocabulary before integrating these elements into units of study. The document provides examples of how other states have structured their CCSS math course design and unit mapping.
This document provides an overview of the Applied Mathematics course. It is a non-ATAR 2 unit course focused on developing mathematical skills and techniques that have direct application to everyday activities. The course covers topics like financial mathematics, data, measurement, probability, and algebra over the preliminary and HSC years. It also includes focus studies applying math to areas like communication, driving, design, household finance, the human body, and personal resource usage. The goal is to provide a strong foundation for students' vocational pathways.
This course introduces students to the art of mathematical proofs through examples from geometry, set theory, number theory, and other areas of mathematics. It begins with the basics of logic and proof techniques before exploring direct proofs, indirect proofs, proofs by induction, and other methods. The goal is for students to appreciate the beauty and creativity involved in rigorous mathematical arguments.
This document provides information about a precalculus and trigonometry workbook created by The Great Courses. It includes a biography of the workbook's author, Professor Bruce H. Edwards of the University of Florida. The workbook is designed to accompany Professor Edwards' Great Courses lecture series on precalculus and contains 30 lesson guides on topics ranging from functions and complex numbers to trigonometric identities, vectors, and conic sections. It is published by The Great Courses, an educational media company located in Chantilly, Virginia.
CIRTL Spring 2016 The College Classroom Meeting 5 - Active LearningPeter Newbury
Peter Newbury
UC San Diego
and
Tom Holme
Iowa State University
collegeclassroom.ucsd.edu
Center for the Integration of Research, Teaching and Learning (CIRTL) Network - cirtl.net
Blythe M. Olshan-Findley has extensive experience as a mathematics teacher and professor. She received her Bachelor's, Master's, and completed all requirements except her dissertation for her Doctorate. She has over 30 years of experience teaching mathematics at various levels, including as a teacher at several Chicago public high schools. She has also taught mathematics as an adjunct professor at multiple universities. She has received several grants and awards for her work in teaching advanced mathematics courses.
Authentic Learning - an NPN PresentationPaul Herring
An updated version on my Junior High School Presentation, but without the Second machine Age slides:
Video version here https://dmr.ttedsc.edu.au/AnonymousEmbed/lzlMdPtohrbCj4%2bUrvpiqw%3d%3d
Course Orientation for Probability and Statistics.pptxMarjorie Malveda
This document provides an orientation for a Probability and Statistics course. It outlines the course schedule, instructor information, learning outcomes, assignments, assessments, grading system, and policies. The course introduces concepts of probability, random variables, probability distributions, and mathematical expectations. It will be taught on Saturdays in May and June 2021 and will include exams, problem sets, and a research paper. Students will learn counting techniques, probability laws, discrete and continuous distributions, and their applications. Attendance and participation are required.
This document discusses ways to help students visualize radians through relating them to fractions of a circle or pie. It notes that students often struggle to conceptualize radians and where angles terminate. The author proposes using slices of a pie or circle to represent fractions of pi or a full radian. Examples are given such as 1/2 pi representing half a slice, 1/4 pi representing a quarter slice. Snowboarding tricks are also used to demonstrate representing rotations in radians. The goal is to provide students a new, visual way to understand radians rather than just as abstract numbers.
This document provides an overview of the APSC 3115: Engineering Analysis III course for Spring 2016. It includes information about the instructor, reference materials, course description, instruction methods, prerequisites, software, grading policy, exams, homework, academic integrity, emergency procedures, course objectives, disability support, counseling services, and the contribution of the course to engineering education. The course covers topics in probability and statistics through lectures, homework assignments, a midterm exam, and a final exam.
The document provides information about the University of Manchester's Faculty of Engineering & Physical Sciences. It discusses the university's research excellence and achievements, support for postgraduate research students, and the responsibilities of students and supervisors. Research students are central to the university's goal of becoming a top 25 global research institution by 2015. They are guided by supervisory teams and have opportunities to develop skills and contribute innovative research.
This course teaches techniques for performing mathematical calculations mentally. It begins with the basics of addition, subtraction, multiplication, and division. Later lectures cover more advanced topics like estimation, different methods for written calculations, strategies for large multiplications, memorizing numbers, calculating calendar dates, and the techniques used by experts in mental math. The goal is to build number sense and skills that can be useful for school, work, and everyday life.
1. The document introduces a module on solving quadratic equations for high school students.
2. It discusses different methods for solving quadratic equations, including factoring, completing the square, using the quadratic formula, and graphing.
3. It also covers complex numbers and how to solve equations containing radicals or that can be reduced to quadratic equations.
This document discusses quadratic equations and complex numbers. It begins with an introduction to quadratic equations, their standard form, and examples of writing equations in standard form. It then covers complex numbers, defining them as numbers with real and imaginary parts, and explores the imaginary unit i and complex arithmetic operations. Finally, it discusses various methods for solving quadratic equations, such as factoring, completing the square, using the quadratic formula, and graphing.
Visual Presentation in Algebra for First Year Studentsmyda rose penuliar
The document discusses properties of equalities that can be used to solve equations. It defines seven properties of equalities: reflexive, symmetric, transitive, addition, subtraction, multiplication, and division. Examples are provided to illustrate each property. The properties allow equations to be transformed into equivalent equations through operations like adding or multiplying the same term to both sides.
Visual Presentation in Algebra for First Year Studentsmyda rose penuliar
The document discusses properties of equalities that can be used to solve equations. It defines seven properties of equalities: reflexive, symmetric, transitive, addition, subtraction, multiplication, and division. Examples are provided to illustrate each property. The properties allow equations to be transformed into equivalent equations through operations like adding or multiplying the same quantity to both sides.
Visual Presentation in Developing Skills in Algebra for First Year Studentsmyda rose penuliar
This document discusses the key concepts and objectives of a module designed to help first year high school students develop their skills in algebra. The module covers topics like equations, inequalities, linear functions, systems of linear equations, radical equations, and matrices. It provides lessons, examples, activities and tests to introduce concepts and allow students to practice their mathematical abilities. The overall aim is to help students understand important algebra topics and extend their learning.
The document discusses properties of equalities that can be used to solve equations. It defines seven properties: reflexive, symmetric, transitive, addition, subtraction, multiplication, and division. Examples are provided to illustrate each property, such as how adding the same number to both sides of an equation maintains equality. Understanding these properties allows equations to be transformed into equivalent equations to solve for variables.
Here are the steps to solve the equations and graph them:
1. x2 + 4 = 0
x2 = -4
x = ±2i
Graph: The graph is the imaginary axis.
2. 2x2 + 18 = 0
2x2 = -18
x2 = -9
x = ±3i
Graph: The graph is the imaginary axis.
3. 2x2 + 14 = 0
2x2 = -14
x2 = -7
x = ±√7i
Graph: The graph is the imaginary axis.
4. 3x2 + 27 = 0
3x2 = -27
x2 = -
Presentation given by Eric Sweet, Leslie Yolen and Liz Hood at Teaching the Hudson Valley's 2013 Summer Institute, "Placed-Based Learning & Common Core"
This document provides an overview of the scope and topics that will be covered in the course "Big Data: How Data Analytics Is Transforming the World". The course will demonstrate how various organizations are using new types of data and analytical tools to improve operations. It will cover important data analysis tools and techniques, including graphing data, data preparation, regression, anomaly detection, simulation, clustering, and network analysis. A variety of case studies will illustrate how these different methods have been applied successfully. The goal is to help learners understand the data analysis process and choose appropriate tools to analyze data sets of interest.
This document provides an overview of a course in Algebra I taught by Professor James A. Sellers. It includes his biography, the scope of the course, and outlines for 36 lessons covering topics like linear equations, quadratic functions, rational expressions, and sequences. The course emphasizes multiple problem-solving techniques, various representations of mathematical concepts, and pattern recognition.
CIRTL Spring 2016 The College Classroom Meeting 5 - Active LearningPeter Newbury
Peter Newbury
UC San Diego
and
Tom Holme
Iowa State University
collegeclassroom.ucsd.edu
Center for the Integration of Research, Teaching and Learning (CIRTL) Network - cirtl.net
Blythe M. Olshan-Findley has extensive experience as a mathematics teacher and professor. She received her Bachelor's, Master's, and completed all requirements except her dissertation for her Doctorate. She has over 30 years of experience teaching mathematics at various levels, including as a teacher at several Chicago public high schools. She has also taught mathematics as an adjunct professor at multiple universities. She has received several grants and awards for her work in teaching advanced mathematics courses.
Authentic Learning - an NPN PresentationPaul Herring
An updated version on my Junior High School Presentation, but without the Second machine Age slides:
Video version here https://dmr.ttedsc.edu.au/AnonymousEmbed/lzlMdPtohrbCj4%2bUrvpiqw%3d%3d
Course Orientation for Probability and Statistics.pptxMarjorie Malveda
This document provides an orientation for a Probability and Statistics course. It outlines the course schedule, instructor information, learning outcomes, assignments, assessments, grading system, and policies. The course introduces concepts of probability, random variables, probability distributions, and mathematical expectations. It will be taught on Saturdays in May and June 2021 and will include exams, problem sets, and a research paper. Students will learn counting techniques, probability laws, discrete and continuous distributions, and their applications. Attendance and participation are required.
This document discusses ways to help students visualize radians through relating them to fractions of a circle or pie. It notes that students often struggle to conceptualize radians and where angles terminate. The author proposes using slices of a pie or circle to represent fractions of pi or a full radian. Examples are given such as 1/2 pi representing half a slice, 1/4 pi representing a quarter slice. Snowboarding tricks are also used to demonstrate representing rotations in radians. The goal is to provide students a new, visual way to understand radians rather than just as abstract numbers.
This document provides an overview of the APSC 3115: Engineering Analysis III course for Spring 2016. It includes information about the instructor, reference materials, course description, instruction methods, prerequisites, software, grading policy, exams, homework, academic integrity, emergency procedures, course objectives, disability support, counseling services, and the contribution of the course to engineering education. The course covers topics in probability and statistics through lectures, homework assignments, a midterm exam, and a final exam.
The document provides information about the University of Manchester's Faculty of Engineering & Physical Sciences. It discusses the university's research excellence and achievements, support for postgraduate research students, and the responsibilities of students and supervisors. Research students are central to the university's goal of becoming a top 25 global research institution by 2015. They are guided by supervisory teams and have opportunities to develop skills and contribute innovative research.
This course teaches techniques for performing mathematical calculations mentally. It begins with the basics of addition, subtraction, multiplication, and division. Later lectures cover more advanced topics like estimation, different methods for written calculations, strategies for large multiplications, memorizing numbers, calculating calendar dates, and the techniques used by experts in mental math. The goal is to build number sense and skills that can be useful for school, work, and everyday life.
1. The document introduces a module on solving quadratic equations for high school students.
2. It discusses different methods for solving quadratic equations, including factoring, completing the square, using the quadratic formula, and graphing.
3. It also covers complex numbers and how to solve equations containing radicals or that can be reduced to quadratic equations.
This document discusses quadratic equations and complex numbers. It begins with an introduction to quadratic equations, their standard form, and examples of writing equations in standard form. It then covers complex numbers, defining them as numbers with real and imaginary parts, and explores the imaginary unit i and complex arithmetic operations. Finally, it discusses various methods for solving quadratic equations, such as factoring, completing the square, using the quadratic formula, and graphing.
Visual Presentation in Algebra for First Year Studentsmyda rose penuliar
The document discusses properties of equalities that can be used to solve equations. It defines seven properties of equalities: reflexive, symmetric, transitive, addition, subtraction, multiplication, and division. Examples are provided to illustrate each property. The properties allow equations to be transformed into equivalent equations through operations like adding or multiplying the same term to both sides.
Visual Presentation in Algebra for First Year Studentsmyda rose penuliar
The document discusses properties of equalities that can be used to solve equations. It defines seven properties of equalities: reflexive, symmetric, transitive, addition, subtraction, multiplication, and division. Examples are provided to illustrate each property. The properties allow equations to be transformed into equivalent equations through operations like adding or multiplying the same quantity to both sides.
Visual Presentation in Developing Skills in Algebra for First Year Studentsmyda rose penuliar
This document discusses the key concepts and objectives of a module designed to help first year high school students develop their skills in algebra. The module covers topics like equations, inequalities, linear functions, systems of linear equations, radical equations, and matrices. It provides lessons, examples, activities and tests to introduce concepts and allow students to practice their mathematical abilities. The overall aim is to help students understand important algebra topics and extend their learning.
The document discusses properties of equalities that can be used to solve equations. It defines seven properties: reflexive, symmetric, transitive, addition, subtraction, multiplication, and division. Examples are provided to illustrate each property, such as how adding the same number to both sides of an equation maintains equality. Understanding these properties allows equations to be transformed into equivalent equations to solve for variables.
Here are the steps to solve the equations and graph them:
1. x2 + 4 = 0
x2 = -4
x = ±2i
Graph: The graph is the imaginary axis.
2. 2x2 + 18 = 0
2x2 = -18
x2 = -9
x = ±3i
Graph: The graph is the imaginary axis.
3. 2x2 + 14 = 0
2x2 = -14
x2 = -7
x = ±√7i
Graph: The graph is the imaginary axis.
4. 3x2 + 27 = 0
3x2 = -27
x2 = -
Presentation given by Eric Sweet, Leslie Yolen and Liz Hood at Teaching the Hudson Valley's 2013 Summer Institute, "Placed-Based Learning & Common Core"
This document provides an overview of the scope and topics that will be covered in the course "Big Data: How Data Analytics Is Transforming the World". The course will demonstrate how various organizations are using new types of data and analytical tools to improve operations. It will cover important data analysis tools and techniques, including graphing data, data preparation, regression, anomaly detection, simulation, clustering, and network analysis. A variety of case studies will illustrate how these different methods have been applied successfully. The goal is to help learners understand the data analysis process and choose appropriate tools to analyze data sets of interest.
This document provides an overview of a course in Algebra I taught by Professor James A. Sellers. It includes his biography, the scope of the course, and outlines for 36 lessons covering topics like linear equations, quadratic functions, rational expressions, and sequences. The course emphasizes multiple problem-solving techniques, various representations of mathematical concepts, and pattern recognition.
This course explores the pragmatic benefits of diversity and how differences in thinking contribute to collective performance. It will show how diversity improves prediction, problem solving, and makes systems more robust. The key ideas have the potential to transform how we think, live, and work in groups from classrooms to societies. Specifically, the course will examine how diverse talent and ways of thinking promote innovation and economic growth. It will also discuss several theoretical results, such as the diversity prediction theorem and how crowds can be wise. The overarching goal is to understand diversity as a scientific concept and as a driver of success in complex systems.
This document provides an overview of a course on mathematical visualization. It introduces the professor, James S. Tanton, and outlines the scope and topics that will be covered in the course. The course uses visualizations to build understanding of mathematical concepts. It begins with basic arithmetic and counting, using pictures to add all the numbers from 1 to 1000 quickly. It then covers visualizing negative numbers, ratios, multiplication, areas, place value, long division, decimals, fractions, infinities, probability, combinatorics, Pascal's triangle, Fibonacci numbers, graphs, quadratics, balance points, and fixed points. The goal is to reveal mathematics as robust, complete, and pleasing through the power of visual thinking.
This lecture introduces several games and puzzles to demonstrate how a mathematician approaches game play and problem solving. Examples covered include tic-tac-toe, the game of 21, and the Tower of Hanoi puzzle. Effective strategies discussed are working backward from the goal, exploiting symmetry, and careful counting of possibilities. The lecture illustrates that mathematical thinking can improve one's ability to play games and solve puzzles.
This lecture introduces the concept that mathematics can be a source of joy through its applications, beauty, and certainty. Some key points:
- Mathematics is the language of science and can model real-world phenomena like compound interest and motion.
- Mathematics brings order and trains logical thinking, but problems can often be solved in multiple creative ways.
- Patterns and relationships in mathematics, like those involving numbers that add up to 20, can be aesthetically pleasing.
- Games use mathematics concepts like probability and counting to become a better player.
- The course will cover topics from high school to college math, including fundamental theorems and unsolved problems, with a focus on intriguing concepts like infinity.
This document provides information about a course on money and banking taught by Professor Michael K. Salemi. It begins with endorsements of The Great Courses series from prominent publications. It then provides biographical information about Professor Salemi, including his educational background and areas of expertise. The document concludes with a table of contents that lists the titles of the 24 lectures in the course.
This document provides an overview of a course on using math concepts in magic tricks. The course consists of 12 lessons that teach mathematical card tricks, mental math skills, geometric and topological illusions, and magic squares. The goal is for students to learn tricks that make them appear skilled at cards, calculations, psychic abilities, and more. Many tricks use everyday props like cards and coins, with math incorporated but sometimes concealed. By the end of the course, students will be able to perform impressive tricks for others in an entertaining way.
This document is a workbook for a course on geometry titled "Geometry: An Interactive Journey to Mastery". It contains 36 lessons on various geometry topics, such as angles, parallel lines, polygons, the Pythagorean theorem, and coordinate geometry. Each lesson includes examples, practice problems, and figures to illustrate key concepts. The workbook is published by The Great Courses and was written by Professor James S. Tanton of the Mathematical Association of America.
The document provides hints and solutions to selected problems from Page 140. It addresses issues with integrals, derivatives, limits, and other calculus concepts. In under 3 sentences, it summarizes key calculus principles and techniques for solving problems from the given page.
Este documento habla sobre la importancia de la privacidad y la seguridad en línea en la era digital. Explica que los datos personales ahora se comparten ampliamente en Internet y las redes sociales, por lo que es fundamental que los usuarios protejan su información personal y estén alertas sobre posibles amenazas cibernéticas.
The research center at Stanford Research Institute aims to develop principles for designing computer systems that can augment human intellect. The center has 12 workstations connected to a time-sharing computer. Researchers use the workstations to develop these augmentation systems, making them both the subject and developer of the research. The goal is to eventually do all work online by placing documents, code, and more in the computer and interacting via the workstations.
This document discusses the history and foundations of probability theory. It covers key thinkers such as Laplace, Maxwell, Keynes, Jeffreys, de Finetti, Kolmogorov, and Cox. Cox's 1946 work generalizing Boolean logic to degrees of belief is identified as inspiring significant further investigation due to leaving conceptual issues to be explored. Developments inspired by Cox's work are then briefly mentioned, such as investigations into alternate axioms, efficiently employing logical operations, and deriving Feynman rules for quantum mechanics.
Este documento presenta información sobre estadística, incluyendo objetivos, actividades, definiciones de términos como población, muestra, variable, distribución de frecuencias y medidas de tendencia central. Explica cómo recopilar y comunicar datos utilizando procedimientos adecuados como tablas y gráficos.
Este documento presenta un libro introductorio sobre teoría de números. El libro comienza definiendo los números naturales usando los axiomas de Peano y luego procede a desarrollar temas como la adición y multiplicación de números naturales, divisibilidad, números primos, congruencias y fracciones continuas. El libro incluye numerosos ejemplos y ejercicios con el fin de facilitar la comprensión de los conceptos teóricos.
Este documento presenta el contenido de un curso de álgebra lineal en la Universidad de Los Andes. El contenido incluye geometría en Rn, matrices, sistemas de ecuaciones lineales, dimensiones, rangos, transformaciones lineales, espacios vectoriales, números complejos, determinantes, valores y vectores propios, ortogonalidad, cambio de base y más. El documento define conceptos básicos como vectores, operaciones con vectores, combinaciones lineales, normas, producto punto, ángulos y paralelismo/perpendicularidad en Rn
Este documento presenta las notas de un curso de álgebra lineal dictado en la Facultad de Ciencias Exactas y Naturales de la Universidad de Buenos Aires. Incluye los temas básicos de álgebra lineal como espacios vectoriales, subespacios, sistemas de ecuaciones lineales, independencia lineal, bases, matrices, transformaciones lineales, el espacio dual, determinantes, y diagonalización de matrices. Las notas están dirigidas a estudiantes de licenciatura y profesorado en matemáticas.
Este documento presenta un libro de problemas resueltos de cálculo para estudiantes de primer año. El libro contiene soluciones detalladas a problemas comunes de álgebra, funciones, límites, derivadas y aplicaciones de la derivada para ayudar a los estudiantes a comprender mejor los conceptos básicos del cálculo. El autor espera que este texto facilite el estudio y la comprensión de los estudiantes en su primer curso de cálculo.
Este documento presenta una introducción a la lógica de proposiciones. Explica conceptos como proposiciones, valores de verdad, proposiciones compuestas, variables de enunciado y tablas de verdad. También describe las conexiones lógicas entre proposiciones como conjunción, disyunción, negación, implicación y equivalencia lógica. El documento proporciona ejemplos y tablas de verdad para ilustrar cada uno de estos conceptos fundamentales de la lógica proposicional.
La pandemia de COVID-19 ha tenido un impacto significativo en la economía mundial y las vidas de las personas. Muchos países han impuesto medidas de confinamiento que han cerrado negocios y escuelas, y han pedido a la gente que se quede en casa tanto como sea posible para frenar la propagación del virus. A medida que los países comienzan a reabrir gradualmente, los gobiernos y las empresas deben encontrar formas de reanudar las actividades económicas de manera segura sin poner en peligro los avances realizados para controlar el virus
LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UPRAHUL
This Dissertation explores the particular circumstances of Mirzapur, a region located in the
core of India. Mirzapur, with its varied terrains and abundant biodiversity, offers an optimal
environment for investigating the changes in vegetation cover dynamics. Our study utilizes
advanced technologies such as GIS (Geographic Information Systems) and Remote sensing to
analyze the transformations that have taken place over the course of a decade.
The complex relationship between human activities and the environment has been the focus
of extensive research and worry. As the global community grapples with swift urbanization,
population expansion, and economic progress, the effects on natural ecosystems are becoming
more evident. A crucial element of this impact is the alteration of vegetation cover, which plays a
significant role in maintaining the ecological equilibrium of our planet.Land serves as the foundation for all human activities and provides the necessary materials for
these activities. As the most crucial natural resource, its utilization by humans results in different
'Land uses,' which are determined by both human activities and the physical characteristics of the
land.
The utilization of land is impacted by human needs and environmental factors. In countries
like India, rapid population growth and the emphasis on extensive resource exploitation can lead
to significant land degradation, adversely affecting the region's land cover.
Therefore, human intervention has significantly influenced land use patterns over many
centuries, evolving its structure over time and space. In the present era, these changes have
accelerated due to factors such as agriculture and urbanization. Information regarding land use and
cover is essential for various planning and management tasks related to the Earth's surface,
providing crucial environmental data for scientific, resource management, policy purposes, and
diverse human activities.
Accurate understanding of land use and cover is imperative for the development planning
of any area. Consequently, a wide range of professionals, including earth system scientists, land
and water managers, and urban planners, are interested in obtaining data on land use and cover
changes, conversion trends, and other related patterns. The spatial dimensions of land use and
cover support policymakers and scientists in making well-informed decisions, as alterations in
these patterns indicate shifts in economic and social conditions. Monitoring such changes with the
help of Advanced technologies like Remote Sensing and Geographic Information Systems is
crucial for coordinated efforts across different administrative levels. Advanced technologies like
Remote Sensing and Geographic Information Systems
9
Changes in vegetation cover refer to variations in the distribution, composition, and overall
structure of plant communities across different temporal and spatial scales. These changes can
occur natural.
How to Make a Field Mandatory in Odoo 17Celine George
In Odoo, making a field required can be done through both Python code and XML views. When you set the required attribute to True in Python code, it makes the field required across all views where it's used. Conversely, when you set the required attribute in XML views, it makes the field required only in the context of that particular view.
Chapter wise All Notes of First year Basic Civil Engineering.pptxDenish Jangid
Chapter wise All Notes of First year Basic Civil Engineering
Syllabus
Chapter-1
Introduction to objective, scope and outcome the subject
Chapter 2
Introduction: Scope and Specialization of Civil Engineering, Role of civil Engineer in Society, Impact of infrastructural development on economy of country.
Chapter 3
Surveying: Object Principles & Types of Surveying; Site Plans, Plans & Maps; Scales & Unit of different Measurements.
Linear Measurements: Instruments used. Linear Measurement by Tape, Ranging out Survey Lines and overcoming Obstructions; Measurements on sloping ground; Tape corrections, conventional symbols. Angular Measurements: Instruments used; Introduction to Compass Surveying, Bearings and Longitude & Latitude of a Line, Introduction to total station.
Levelling: Instrument used Object of levelling, Methods of levelling in brief, and Contour maps.
Chapter 4
Buildings: Selection of site for Buildings, Layout of Building Plan, Types of buildings, Plinth area, carpet area, floor space index, Introduction to building byelaws, concept of sun light & ventilation. Components of Buildings & their functions, Basic concept of R.C.C., Introduction to types of foundation
Chapter 5
Transportation: Introduction to Transportation Engineering; Traffic and Road Safety: Types and Characteristics of Various Modes of Transportation; Various Road Traffic Signs, Causes of Accidents and Road Safety Measures.
Chapter 6
Environmental Engineering: Environmental Pollution, Environmental Acts and Regulations, Functional Concepts of Ecology, Basics of Species, Biodiversity, Ecosystem, Hydrological Cycle; Chemical Cycles: Carbon, Nitrogen & Phosphorus; Energy Flow in Ecosystems.
Water Pollution: Water Quality standards, Introduction to Treatment & Disposal of Waste Water. Reuse and Saving of Water, Rain Water Harvesting. Solid Waste Management: Classification of Solid Waste, Collection, Transportation and Disposal of Solid. Recycling of Solid Waste: Energy Recovery, Sanitary Landfill, On-Site Sanitation. Air & Noise Pollution: Primary and Secondary air pollutants, Harmful effects of Air Pollution, Control of Air Pollution. . Noise Pollution Harmful Effects of noise pollution, control of noise pollution, Global warming & Climate Change, Ozone depletion, Greenhouse effect
Text Books:
1. Palancharmy, Basic Civil Engineering, McGraw Hill publishers.
2. Satheesh Gopi, Basic Civil Engineering, Pearson Publishers.
3. Ketki Rangwala Dalal, Essentials of Civil Engineering, Charotar Publishing House.
4. BCP, Surveying volume 1
Walmart Business+ and Spark Good for Nonprofits.pdfTechSoup
"Learn about all the ways Walmart supports nonprofit organizations.
You will hear from Liz Willett, the Head of Nonprofits, and hear about what Walmart is doing to help nonprofits, including Walmart Business and Spark Good. Walmart Business+ is a new offer for nonprofits that offers discounts and also streamlines nonprofits order and expense tracking, saving time and money.
The webinar may also give some examples on how nonprofits can best leverage Walmart Business+.
The event will cover the following::
Walmart Business + (https://business.walmart.com/plus) is a new shopping experience for nonprofits, schools, and local business customers that connects an exclusive online shopping experience to stores. Benefits include free delivery and shipping, a 'Spend Analytics” feature, special discounts, deals and tax-exempt shopping.
Special TechSoup offer for a free 180 days membership, and up to $150 in discounts on eligible orders.
Spark Good (walmart.com/sparkgood) is a charitable platform that enables nonprofits to receive donations directly from customers and associates.
Answers about how you can do more with Walmart!"
This presentation was provided by Racquel Jemison, Ph.D., Christina MacLaughlin, Ph.D., and Paulomi Majumder. Ph.D., all of the American Chemical Society, for the second session of NISO's 2024 Training Series "DEIA in the Scholarly Landscape." Session Two: 'Expanding Pathways to Publishing Careers,' was held June 13, 2024.
Philippine Edukasyong Pantahanan at Pangkabuhayan (EPP) CurriculumMJDuyan
(𝐓𝐋𝐄 𝟏𝟎𝟎) (𝐋𝐞𝐬𝐬𝐨𝐧 𝟏)-𝐏𝐫𝐞𝐥𝐢𝐦𝐬
𝐃𝐢𝐬𝐜𝐮𝐬𝐬 𝐭𝐡𝐞 𝐄𝐏𝐏 𝐂𝐮𝐫𝐫𝐢𝐜𝐮𝐥𝐮𝐦 𝐢𝐧 𝐭𝐡𝐞 𝐏𝐡𝐢𝐥𝐢𝐩𝐩𝐢𝐧𝐞𝐬:
- Understand the goals and objectives of the Edukasyong Pantahanan at Pangkabuhayan (EPP) curriculum, recognizing its importance in fostering practical life skills and values among students. Students will also be able to identify the key components and subjects covered, such as agriculture, home economics, industrial arts, and information and communication technology.
𝐄𝐱𝐩𝐥𝐚𝐢𝐧 𝐭𝐡𝐞 𝐍𝐚𝐭𝐮𝐫𝐞 𝐚𝐧𝐝 𝐒𝐜𝐨𝐩𝐞 𝐨𝐟 𝐚𝐧 𝐄𝐧𝐭𝐫𝐞𝐩𝐫𝐞𝐧𝐞𝐮𝐫:
-Define entrepreneurship, distinguishing it from general business activities by emphasizing its focus on innovation, risk-taking, and value creation. Students will describe the characteristics and traits of successful entrepreneurs, including their roles and responsibilities, and discuss the broader economic and social impacts of entrepreneurial activities on both local and global scales.