This course covers differential, integral and vector calculus for functions of more …
This course covers differential, integral and vector calculus for functions of more than one variable. These mathematical tools and methods are used extensively in the physical sciences, engineering, economics and computer graphics. The materials have been organized to support independent study. The website includes all of the materials you will need to understand the concepts covered in this subject. The materials in this course include:
Lecture Videos recorded on the MIT campus Recitation Videos with problem-solving tips Examples of solutions to sample problems Problems for you to solve, with solutions Exams with solutions Interactive Java Applets (“Mathlets”) to reinforce key concepts
Content Development Denis Auroux Arthur Mattuck Jeremy Orloff John Lewis Heidi Burgiel Christine Breiner David Jordan Joel Lewis
This course is a continuation of 18.014 Calculus with Theory. It covers …
This course is a continuation of 18.014 Calculus with Theory. It covers the same material as 18.02 Multivariable Calculus, but at a deeper level, emphasizing careful reasoning and understanding of proofs. There is considerable emphasis on linear algebra and vector integral calculus.
My Math GPS: Elementary Algebra Guided Problem Solving is a textbook that …
My Math GPS: Elementary Algebra Guided Problem Solving is a textbook that aligns to the CUNY Elementary Algebra Learning Objectives that are tested on the CUNY Elementary Algebra Final Exam (CEAFE). This book contextualizes arithmetic skills into Elementary Algebra content using a problem-solving pedagogy. Classroom assessments and online homework are available from the authors.
Overview: This is a PBL project as part of an Integrated Math course with …
Overview: This is a PBL project as part of an Integrated Math course with a focus on Functions and Functional Relationships related to Polynomials. The overarching objective of the project is for the student to recognize, describe, model, manipulate, use, and solve non-linear functional relationships to compare the characteristics of different function types. Through the application of these concepts, students will better understand the nature and structure of functions, especially as they pertain to polynomials, exponential functions, variation, and transformations. Note that the project was designed and delivered per the North Carolina Math 2 curriculum, but can be customized to meet your own specific curriculum needs.
(Nota: Esta es una traducción de un recurso educativo abierto creado por …
(Nota: Esta es una traducción de un recurso educativo abierto creado por el Departamento de Educación del Estado de Nueva York (NYSED) como parte del proyecto "EngageNY" en 2013. Aunque el recurso real fue traducido por personas, la siguiente descripción se tradujo del inglés original usando Google Translate para ayudar a los usuarios potenciales a decidir si se adapta a sus necesidades y puede contener errores gramaticales o lingüísticos. La descripción original en inglés también se proporciona a continuación.)
En el módulo 4, los estudiantes extienden lo que ya saben sobre las tarifas unitarias y las relaciones proporcionales con ecuaciones lineales y sus gráficos. Los estudiantes entienden las conexiones entre relaciones proporcionales, líneas y ecuaciones lineales en este módulo. Los estudiantes aprenden a aplicar las habilidades que adquirieron en los grados 6 y 7, con respecto a la notación simbólica y las propiedades de la igualdad para transcribir y resolver ecuaciones en una variable y luego en dos variables.
Encuentre el resto de los recursos matemáticos de Engageny en https://archive.org/details/engageny-mathematics.
English Description: In Module 4, students extend what they already know about unit rates and proportional relationships to linear equations and their graphs. Students understand the connections between proportional relationships, lines, and linear equations in this module. Students learn to apply the skills they acquired in Grades 6 and 7, with respect to symbolic notation and properties of equality to transcribe and solve equations in one variable and then in two variables.
Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.
Noncommutative algebra studies algebraic phenomena involving multiplication for which commutativity law fails, …
Noncommutative algebra studies algebraic phenomena involving multiplication for which commutativity law fails, such as product of matrices in linear algebra; such phenomena arise in various disciplines ranging from quantum physics to number theory.
This course provides an introduction to nonlinear dynamics and chaos in dissipative …
This course provides an introduction to nonlinear dynamics and chaos in dissipative systems. The content is structured to be of general interest to undergraduates in engineering and science.
In this seminar you will look at the commutative, associative, and distributive …
In this seminar you will look at the commutative, associative, and distributive properties to better understand how they are used in mathematics. You may see some similarities among these properties, but you will find large differences as well. These differences are important to recognize when completing problems, or else you will find yourself getting wrong answers. You will also explore identity and inverses, which are used so often in math (often without your even knowing it!). A majority of the time will be spent on the distributive property as it tends to be the property used most moving forward in math. Understanding these basic number properties is important in working with numbers and equations later in the course.StandardsCC.2.2.HS.D.2Write expressions in equivalent forms to solve problems.
This is the first semester of a one-year graduate course in number …
This is the first semester of a one-year graduate course in number theory covering standard topics in algebraic and analytic number theory. At various points in the course, we will make reference to material from other branches of mathematics, including topology, complex analysis, representation theory, and algebraic geometry.
This course is the continuation of 18.785 Number Theory I. It begins …
This course is the continuation of 18.785 Number Theory I. It begins with an analysis of the quadratic case of Class Field Theory via Hilbert symbols, in order to give a more hands-on introduction to the ideas of Class Field Theory. More advanced topics in number theory are discussed in this course, such as Galois cohomology, proofs of class field theory, modular forms and automorphic forms, Galois representations, and quadratic forms.
This class introduces elementary programming concepts including variable types, data structures, and …
This class introduces elementary programming concepts including variable types, data structures, and flow control. After an introduction to linear algebra and probability, it covers numerical methods relevant to mechanical engineering, including approximation (interpolation, least squares and statistical regression), integration, solution of linear and nonlinear equations, ordinary differential equations, and deterministic and probabilistic approaches. Examples are drawn from mechanical engineering disciplines, in particular from robotics, dynamics, and structural analysis.
This class introduces elementary programming concepts including variable types, data structures, and …
This class introduces elementary programming concepts including variable types, data structures, and flow control. After an introduction to linear algebra and probability, it covers numerical methods relevant to mechanical engineering, including approximation (interpolation, least squares and statistical regression), integration, solution of linear and nonlinear equations, ordinary differential equations, and deterministic and probabilistic approaches. Examples are drawn from mechanical engineering disciplines, in particular from robotics, dynamics, and structural analysis. Assignments require MATLAB® programming.
This class introduces elementary programming concepts including variable types, data structures, and …
This class introduces elementary programming concepts including variable types, data structures, and flow control. After an introduction to linear algebra and probability, it covers numerical methods relevant to mechanical engineering, including approximation (interpolation, least squares and statistical regression), integration, solution of linear and nonlinear equations, ordinary differential equations, and deterministic and probabilistic approaches. Examples are drawn from mechanical engineering disciplines, in particular from robotics, dynamics, and structural analysis. Assignments require MATLAB® programming.
Based on the College and Career Readiness Standards in Action- 25% of …
Based on the College and Career Readiness Standards in Action- 25% of higher level math instruction should be spent on Algebra and Functions. This includes Interpreting quadratic equations, using their structure to rewrite them in equivalent forms which serve a purpose. Also creating and solving quadratic equations to solve problems, both algebraically and graphically. They are to be able to re-arrange formulas involving quadratics and highligh specific quantities. (Guide to Effectively Managing Higher-Level Content Standards in Mathematics.)The amount of OER material available to assist instruction in higher level EFL math for adults is numerous, but searching for it often gets one tangled in the pedigogical instruction, with simplistic "real-life" examples, whereas adults with REAL "real-life" experience can appreciate the topics applied to broader world examples. This curriculum guide will give suggestions for pre-lesson activities to stimulate prior knowledge, walk you through a lesson example, and hopefully whet your appetite for using OER's in your regular instruction.
This is a path for those of you who want to complete …
This is a path for those of you who want to complete the Data Science undergraduate curriculum on your own time, for free, with courses from the best universities in the World. In our curriculum, we give preference to MOOC (Massive Open Online Course) style courses because these courses were created with our style of learning in mind. OSSU Data Science uses the report Curriculum Guidelines for Undergraduate Programs in Data Science (https://www.amstat.org/asa/files/pdfs/EDU-DataScienceGuidelines.pdf) as our guide for course recommendation.
It is possible to finish within about 2 years if you plan carefully and devote roughly 20 hours/week to your studies. Learners can use this spreadsheet (linked in resource) to estimate their end date. Make a copy and input your start date and expected hours per week in the Timeline sheet. As you work through courses you can enter your actual course completion dates in the Curriculum Data sheet and get updated completion estimates.
Python and R are heavily used in Data Science community and our courses teach you both. Remember, the important thing for each course is to internalize the core concepts and to be able to use them with whatever tool (programming language) that you wish.
The Data Science curriculum assumes the student has taken high school math and statistics.
See how the equation form of Ohm's law relates to a simple …
See how the equation form of Ohm's law relates to a simple circuit. Adjust the voltage and resistance, and see the current change according to Ohm's law. The sizes of the symbols in the equation change to match the circuit diagram.
In this seminar you will learn how to solve single step equations. …
In this seminar you will learn how to solve single step equations. You will apply techniques you have learned regarding addition, subtraction, multiplication and division. You will use the techniques learned in this seminar to verify solutions to various other types of problems as you move forward and solve for missing variables. When solving single step equations, you will use inverse operations to find missing variables and then use substitution to check each problem to verify that your answer is correct.StandardsCC.2.2.HS.D.8Apply inverse operations to solve equations or formulas for a given variable.
This free study guide is designed to supplement your current textbook. This …
This free study guide is designed to supplement your current textbook. This Algebra Study Guide is a solutions oriented approach to Algebra. When solving problems students are asked to communicate their thought process by showing steps wherever possible.
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