Pc 4.1 Notes P2 Speed
•
1 like•88 views
This 7-page document discusses speed and velocity in physics. It defines speed as distance traveled over time and velocity as both speed and direction of motion. The document explains the difference between speed and velocity and provides examples of calculating speed from distance and time measurements. It also introduces the concept of average speed and how it is calculated.
Report
Share
Report
Share
Download to read offline
Recommended
PC 4.1 Notes Part 2
Notes continued from last week. Topics covered include applications of radians, such as arc length, sector area, and angular or linear speed.
Pc 4.7 Notes P2 Inverses
This 5-page document discusses inverses of matrices and their properties. It defines the inverse of a matrix A as the matrix A^-1 such that AA^-1 = A^-1A = I, where I is the identity matrix. It also explains that for a matrix to have an inverse, it must be a square matrix and have nonzero determinant. Properties of inverses including that the inverse of the inverse is the original matrix and that inverses of matrices can be used to solve systems of equations are covered.
Pc 5.4 Notes P2
This document appears to be a multi-page PDF titled "PC_5.4_Notes_P2.pdf" that contains notes or information across 8 numbered pages. However, without being able to view the actual content of the PDF pages, this summary can only state the title of the document and that it consists of 8 pages of notes or information.
Pc 4.5 Notes P2 Graphing
Graphs can show relationships between variables and the distribution of data. There are four main types of graphs: bar graphs, picture graphs, line graphs, and circle graphs. Each graph displays different types of data in a visual format that makes it easier to understand and interpret relationships and patterns.
PC 4.2 Notes P2
This document appears to be a 7 page PDF titled "PC_4.2_Notes_P2.pdf" that contains notes or information across each of its pages. However, without being able to view the actual contents and text within the PDF, the summary is limited to just the file name and that it consists of 7 pages of notes.
Pc 4.5 Notes Graphing
This 6-page document provides notes on graphing, including defining a graph as a visual representation of relationships between entities, discussing different types of graphs such as bar graphs, line graphs, and circle graphs, and explaining how to properly construct and label graphs to effectively display different types of data for analysis or interpretation. The notes conclude with a brief discussion on using graphs in science to show relationships.
PC 4.3 Notes
This 4 page document appears to be notes related to a personal computer but provides no other context or identifying information beyond the filename. The document references 4 pages but without access to the actual content, only the high-level topic and page count can be determined from the given information.
Pc Sp Final Review
This 5 page document appears to be a performance review for an employee named PC_Sp covering an unspecified final period. The document consists of 5 individually numbered pages but no other discernible sections or information to summarize.
Recommended
PC 4.1 Notes Part 2
Notes continued from last week. Topics covered include applications of radians, such as arc length, sector area, and angular or linear speed.
Pc 4.7 Notes P2 Inverses
This 5-page document discusses inverses of matrices and their properties. It defines the inverse of a matrix A as the matrix A^-1 such that AA^-1 = A^-1A = I, where I is the identity matrix. It also explains that for a matrix to have an inverse, it must be a square matrix and have nonzero determinant. Properties of inverses including that the inverse of the inverse is the original matrix and that inverses of matrices can be used to solve systems of equations are covered.
Pc 5.4 Notes P2
This document appears to be a multi-page PDF titled "PC_5.4_Notes_P2.pdf" that contains notes or information across 8 numbered pages. However, without being able to view the actual content of the PDF pages, this summary can only state the title of the document and that it consists of 8 pages of notes or information.
Pc 4.5 Notes P2 Graphing
Graphs can show relationships between variables and the distribution of data. There are four main types of graphs: bar graphs, picture graphs, line graphs, and circle graphs. Each graph displays different types of data in a visual format that makes it easier to understand and interpret relationships and patterns.
PC 4.2 Notes P2
This document appears to be a 7 page PDF titled "PC_4.2_Notes_P2.pdf" that contains notes or information across each of its pages. However, without being able to view the actual contents and text within the PDF, the summary is limited to just the file name and that it consists of 7 pages of notes.
Pc 4.5 Notes Graphing
This 6-page document provides notes on graphing, including defining a graph as a visual representation of relationships between entities, discussing different types of graphs such as bar graphs, line graphs, and circle graphs, and explaining how to properly construct and label graphs to effectively display different types of data for analysis or interpretation. The notes conclude with a brief discussion on using graphs in science to show relationships.
PC 4.3 Notes
This 4 page document appears to be notes related to a personal computer but provides no other context or identifying information beyond the filename. The document references 4 pages but without access to the actual content, only the high-level topic and page count can be determined from the given information.
Pc Sp Final Review
This 5 page document appears to be a performance review for an employee named PC_Sp covering an unspecified final period. The document consists of 5 individually numbered pages but no other discernible sections or information to summarize.
PC 4.5 Notes
This document appears to be a 9 page PDF titled "PC_4.5_Notes.pdf" that provides notes or information across each of its pages. However, without being able to view the actual content of the PDF pages, this summary can only identify the document title and number of pages, but cannot describe the key details or topics discussed in the document.
Pc 11.1 Notes 3-D Coordinate System
This document appears to be a 6 page PDF titled "PC_11.1_Notes.pdf" that contains notes or information related to the topic of "PC_11.1". However, as only the file and page names are provided without any visible text content, the key details and overall purpose or subject of the document cannot be determined from the given information alone.
PC 4.1 Notes
This document appears to be a 10 page PDF titled "PC_4.1_Notes.pdf" that likely contains notes or information related to a personal computing topic labeled "PC_4.1". The PDF spans 10 sequentially numbered pages, but without accessing and reviewing the full document contents, no more specific summarization can be provided.
Pc 4.2 Notes
This 9 page document appears to be notes from multiple pages of a document called "PC_4.2_Notes.pdf". However, without being able to view the actual content of the PDF pages, it is impossible to provide an informative summary of the key details and essential information contained in this document.
Pc 5.5 Notes P1
This 4 page document appears to be notes related to a personal computer. The notes cover multiple topics including hardware components, operating systems, software applications and computer security. In summary, the document outlines fundamental concepts, components and functions of personal computers.
Pc 1.4-5 Notes Functions
This document appears to be notes from multiple pages of a file called "PC_1.4-5_Notes.pdf". However, without being able to view the actual file contents, I am unable to determine the essential information or high-level topic of the notes. The summary provided does not contain enough contextual details to extract meaningful insights about the document.
PC 6.5 Notes Part 2
Part 2 of complex numbers in trigonometric form. Includes multiplying, dividing, and DeMoirve's Theorem. Mr. Fjelstrom's benchmarks MA 2.4 and 2.5.
P 2.4 Notes
This document appears to be a multi-page PDF titled "PC_2.4_Notes.pdf" that contains notes or information across 8 numbered pages. No other contextual or summarizing information is provided about the topic or content of the document.
PC 4.3 Notes P2
This document appears to be notes from a 16 page PDF file. However, as no actual content from the PDF is provided, it is not possible to determine the essential information or provide a meaningful summary. The document references page numbers but does not include any text for analysis.
PC 1.9 Notes
This document appears to be a 6 page PDF titled "PC_1.9_Notes.pdf" that likely contains notes or information related to a personal computer or computing topic. As the title and reference to multiple pages suggests, the document covers information across its 6 pages but without being able to view the document itself, no more specific details can be summarized.
PC 12.1-4 Notes Limits
This document appears to be a multi-page PDF file titled "PC_12.1-4_Notes.pdf" that contains notes or information across 6 numbered pages. However, without being able to view the actual contents of the PDF pages, the summary is limited to just the file name and number of pages it contains.
Pc 4.4 Trig Notes
This document appears to be notes from multiple pages of a PDF file titled "PC_4.4_Notes.pdf". However, as no actual content from the PDF is provided, the summary is limited to stating the file name and number of pages referenced without any meaningful details about the essential information or high-level topic of the document contents.
Pc 4.7 Notes Graph Inverses
This 8-page document discusses graph inverses and their properties. It defines what an inverse is for different types of functions, including one-to-one and many-to-one functions. Examples are provided to illustrate inverses and how to determine if a function has an inverse. Properties of inverse functions like their domain and range are explained.
PreCalc 2.6 HW
This document appears to be a 4 page PDF titled "PC_2.6_HW.pdf" that contains homework or assignments. Unfortunately without being able to view the actual document contents, this is the best high-level summary that can be provided in 3 sentences or less based on the limited information given.
Pc 4.3 Notes Using Trig
This document appears to be a collection of pages from two different PDF files. The first file, PC_4.3_Notes_p1.pdf, includes pages 1 and 4 through 7. The second file, PC_4.3_Notes_P2_Trig.pdf, contains pages 2 through 16, covering trigonometric functions.
Pc 4.2 Notes Unit Circle
This 8-page document appears to contain notes about the unit circle. It likely defines the unit circle, discusses the relationship between angles and trigonometric functions on the unit circle, and provides examples of calculating trig values for various angles using the unit circle. The document seems aimed at teaching students about the unit circle and how it can be used to evaluate trigonometric functions.
PC 5.4 Notes Part 1
This document appears to be a multi-page PDF file titled "PC_5.2_Notes_P1.pdf" that contains notes or information across 8 numbered pages. The summary provides only a high-level description of the document as the content and details of the individual pages are not provided.
Pc 1.7 Notes Transformations
This 7-page document discusses different types of transformations including translations, reflections, rotations, and dilations. It provides examples of each transformation with diagrams and explains how to describe transformations using function notation. Key terms such as pre-image, image, and fixed point are also defined in the context of transformations.
Pc 4.6 Notes Graphing Reciprocal Trig
This 9-page document provides notes on graphing, including defining different types of graphs such as line graphs, bar graphs, and pie charts. It explains how to construct these graphs by choosing appropriate scales and labels for the axes and keys. The document also discusses how to interpret different graph types, noting what each is best suited to display, such as changes over time for line graphs or comparisons between parts of a whole for pie charts.
PC 6.4 Notes
Quick notes on finding the dot product of two vectors. Also included is BM LA 12.2 determining if two vectors are orthogonal (perpendicular).
Pc Complex Fractions
This document provides a complex fractions worksheet assignment with problems numbered 2 through 30, even numbers only. Students are tasked with solving a series of complex fraction problems involving addition, subtraction, multiplication, and division of fractions. The level of difficulty of the fraction problems increases through the series of even numbered problems from 2 to 30.
PC 2.6 Notes
This document appears to be a 7 page PDF titled "PC_2.6_Notes.pdf" that contains notes or information related to personal computer version 2.6. The document discusses details and specifications for PC 2.6 across its 7 pages but without accessing and reviewing the full document, no more specific summarization can be provided.
More Related Content
What's hot
PC 4.5 Notes
This document appears to be a 9 page PDF titled "PC_4.5_Notes.pdf" that provides notes or information across each of its pages. However, without being able to view the actual content of the PDF pages, this summary can only identify the document title and number of pages, but cannot describe the key details or topics discussed in the document.
Pc 11.1 Notes 3-D Coordinate System
This document appears to be a 6 page PDF titled "PC_11.1_Notes.pdf" that contains notes or information related to the topic of "PC_11.1". However, as only the file and page names are provided without any visible text content, the key details and overall purpose or subject of the document cannot be determined from the given information alone.
PC 4.1 Notes
This document appears to be a 10 page PDF titled "PC_4.1_Notes.pdf" that likely contains notes or information related to a personal computing topic labeled "PC_4.1". The PDF spans 10 sequentially numbered pages, but without accessing and reviewing the full document contents, no more specific summarization can be provided.
Pc 4.2 Notes
This 9 page document appears to be notes from multiple pages of a document called "PC_4.2_Notes.pdf". However, without being able to view the actual content of the PDF pages, it is impossible to provide an informative summary of the key details and essential information contained in this document.
Pc 5.5 Notes P1
This 4 page document appears to be notes related to a personal computer. The notes cover multiple topics including hardware components, operating systems, software applications and computer security. In summary, the document outlines fundamental concepts, components and functions of personal computers.
Pc 1.4-5 Notes Functions
This document appears to be notes from multiple pages of a file called "PC_1.4-5_Notes.pdf". However, without being able to view the actual file contents, I am unable to determine the essential information or high-level topic of the notes. The summary provided does not contain enough contextual details to extract meaningful insights about the document.
PC 6.5 Notes Part 2
Part 2 of complex numbers in trigonometric form. Includes multiplying, dividing, and DeMoirve's Theorem. Mr. Fjelstrom's benchmarks MA 2.4 and 2.5.
P 2.4 Notes
This document appears to be a multi-page PDF titled "PC_2.4_Notes.pdf" that contains notes or information across 8 numbered pages. No other contextual or summarizing information is provided about the topic or content of the document.
PC 4.3 Notes P2
This document appears to be notes from a 16 page PDF file. However, as no actual content from the PDF is provided, it is not possible to determine the essential information or provide a meaningful summary. The document references page numbers but does not include any text for analysis.
PC 1.9 Notes
This document appears to be a 6 page PDF titled "PC_1.9_Notes.pdf" that likely contains notes or information related to a personal computer or computing topic. As the title and reference to multiple pages suggests, the document covers information across its 6 pages but without being able to view the document itself, no more specific details can be summarized.
PC 12.1-4 Notes Limits
This document appears to be a multi-page PDF file titled "PC_12.1-4_Notes.pdf" that contains notes or information across 6 numbered pages. However, without being able to view the actual contents of the PDF pages, the summary is limited to just the file name and number of pages it contains.
Pc 4.4 Trig Notes
This document appears to be notes from multiple pages of a PDF file titled "PC_4.4_Notes.pdf". However, as no actual content from the PDF is provided, the summary is limited to stating the file name and number of pages referenced without any meaningful details about the essential information or high-level topic of the document contents.
Pc 4.7 Notes Graph Inverses
This 8-page document discusses graph inverses and their properties. It defines what an inverse is for different types of functions, including one-to-one and many-to-one functions. Examples are provided to illustrate inverses and how to determine if a function has an inverse. Properties of inverse functions like their domain and range are explained.
PreCalc 2.6 HW
This document appears to be a 4 page PDF titled "PC_2.6_HW.pdf" that contains homework or assignments. Unfortunately without being able to view the actual document contents, this is the best high-level summary that can be provided in 3 sentences or less based on the limited information given.
Pc 4.3 Notes Using Trig
This document appears to be a collection of pages from two different PDF files. The first file, PC_4.3_Notes_p1.pdf, includes pages 1 and 4 through 7. The second file, PC_4.3_Notes_P2_Trig.pdf, contains pages 2 through 16, covering trigonometric functions.
Pc 4.2 Notes Unit Circle
This 8-page document appears to contain notes about the unit circle. It likely defines the unit circle, discusses the relationship between angles and trigonometric functions on the unit circle, and provides examples of calculating trig values for various angles using the unit circle. The document seems aimed at teaching students about the unit circle and how it can be used to evaluate trigonometric functions.
PC 5.4 Notes Part 1
This document appears to be a multi-page PDF file titled "PC_5.2_Notes_P1.pdf" that contains notes or information across 8 numbered pages. The summary provides only a high-level description of the document as the content and details of the individual pages are not provided.
Pc 1.7 Notes Transformations
This 7-page document discusses different types of transformations including translations, reflections, rotations, and dilations. It provides examples of each transformation with diagrams and explains how to describe transformations using function notation. Key terms such as pre-image, image, and fixed point are also defined in the context of transformations.
Pc 4.6 Notes Graphing Reciprocal Trig
This 9-page document provides notes on graphing, including defining different types of graphs such as line graphs, bar graphs, and pie charts. It explains how to construct these graphs by choosing appropriate scales and labels for the axes and keys. The document also discusses how to interpret different graph types, noting what each is best suited to display, such as changes over time for line graphs or comparisons between parts of a whole for pie charts.
PC 6.4 Notes
Quick notes on finding the dot product of two vectors. Also included is BM LA 12.2 determining if two vectors are orthogonal (perpendicular).
What's hot (20)
Viewers also liked
Pc Complex Fractions
This document provides a complex fractions worksheet assignment with problems numbered 2 through 30, even numbers only. Students are tasked with solving a series of complex fraction problems involving addition, subtraction, multiplication, and division of fractions. The level of difficulty of the fraction problems increases through the series of even numbered problems from 2 to 30.
PC 2.6 Notes
This document appears to be a 7 page PDF titled "PC_2.6_Notes.pdf" that contains notes or information related to personal computer version 2.6. The document discusses details and specifications for PC 2.6 across its 7 pages but without accessing and reviewing the full document, no more specific summarization can be provided.
Pc 5.2 notes_verifying
This document provides instructions for verifying trigonometric identities. It lists things that cannot be done when verifying identities, such as adding/subtracting or multiplying/dividing across the equal sign. It then provides examples of verifying identities and notes that whiteboards can be used. Finally, it lists homework problems from a textbook for practice verifying trigonometric identities.
Pc 10.3 notes_ellipse
The document discusses ellipses, including their definition as the set of points equidistant from two focal points with a constant sum of distances, the standard equation of an ellipse, and how to find the vertices, foci, and center of ellipses given their equations or properties. Examples are provided for writing the standard form of ellipses given their foci or vertices, finding foci from given vertices, sketching an ellipse from its standard form, and determining the center, vertices, and foci of an ellipse with a given equation. Students are assigned related practice problems.
Alg Star D3
This document appears to be a 9 page PDF titled "Alg_STAR_Review_D3.pdf" that likely contains information reviewed as part of algorithm testing or review. However, without being able to view the actual contents of the PDF pages, this summary can only state the document title and number of pages but cannot provide any meaningful details about the essential information or high level topics contained in the document.
Pc 10.4 notes_hyperbola
The document defines a hyperbola as the set of all points equidistant from two focal points where the distance difference is constant. It provides the standard equation for a hyperbola and lists the center, vertices, foci, and asymptotes as key elements. Examples are given to graph hyperbolas and find their standard equations based on given properties.
Pc BM Rational Study Guide
Finishing up the last two benchmarks on the Functions Study Guide, MA 6.0 on graphing rational functions, and the Special Triangles benchmark.
Pc 5.5 Notes P2 Half Angles
This 6-page document discusses half angles and their relationship to trigonometric functions. It defines half angles and shows how the trig functions of a half angle can be defined in terms of the trig functions of the original angle. Examples are provided to demonstrate how to use half angle identities to simplify expressions involving trig functions.
Alg 2.5 Notes
This document contains notes from an Algebra 2.5 class that spans 9 pages. The notes cover multiple topics from the Algebra 2.5 curriculum including equations, inequalities, functions, and graphs. More specific concepts and examples are explained on each of the 9 numbered pages.
Pc 11.1 notes_3_d
The document introduces the three-dimensional coordinate system and methods for graphing points, finding the distance between two points, and calculating the midpoint between two points in three-dimensional space. It provides examples of graphing points in the octants of three-dimensional space, calculating the distance between two example points, and finding the midpoint between another two points. The document concludes by providing a whiteboard activity and assignment problems related to these three-dimensional coordinate concepts.
Alg 6.6-7 Notes
Some notes on graphing linear inequalities and systems of linear inequalities. Mr. Fjelstrom's benchmark 6.3 and 9.4.
Geo 4.1 notes_congruency
This document appears to be an assignment worksheet on congruence and triangles. It includes an example problem with unlabeled angles and sides of two triangles. The assignment asks students to write a congruency statement comparing the two triangles by stating they are congruent.
Alg 6.1 Notes
This 3 page document appears to be notes related to algorithm 6.1 but without any visible content to summarize. The document name implies it is notes for an algorithm but there are no details provided about the algorithm, concepts discussed, conclusions, or other salient points to include in a concise 3 sentence summary.
Alg 3.4-5 Notes
This document appears to be notes from an algebra textbook covering chapters 3.4 through 3.5. It includes 13 pages of content on these algebra topics but without any visible text, so it is difficult to determine the specific concepts addressed in each chapter section.
PC BM Study Guide 1
This document appears to be a 6 page PDF titled "PC_BM_Rev1_Sol.pdf" as each page is listed separately without any other context. The summary provides only the file and page numbers as there is no other information provided about the content or purpose of the document.
Pc complete square_rev
Completing the square is an algebraic technique for rewriting quadratic expressions into perfect square trinomial form. It involves grouping like terms and adding or subtracting the appropriate constant term to complete the square. The steps are to group like terms, add half the coefficient of the x term squared to both sides, and factor the resulting expression.
Alg 9.6 Notes Solve by Square Rooting
This document appears to be a set of notes spanning 8 pages related to an algebra topic labeled Alg. 9.6. The notes cover an unknown algebraic concept across multiple pages but without any other contextual information, it is difficult to determine the key details or overall purpose of the notes.
Geo 4.2 3-notes_cong_triangles
The document discusses four postulates and theorems for determining if two triangles are congruent: the Side-Side-Side postulate, the Side-Angle-Side postulate, the Angle-Side-Angle postulate, and the Angle-Angle-Side theorem. These state that if corresponding sides or angles of two triangles are congruent in certain combinations, then the two triangles are congruent. Homework assigned is to complete problems #25 from the 4.2 and 4.3 worksheet.
Viewers also liked (18)
More from Jonathan Fjelstrom
Lesson 1 operations slides notes
This document outlines lesson 1 on polynomial operations which teaches students how to add, subtract, and multiply polynomials of various degrees. It provides examples of adding, subtracting, and multiplying polynomials. These include adding and subtracting polynomials with different variables, distributing negative signs when subtracting, and multiplying polynomials by distributing terms. The lesson concludes with examples of simplifying polynomial expressions.
Bearing Notes
This document outlines lesson 4 on trigonometric application vocabulary. It includes the objective to identify angles of direction and elevation/depression in real-world problems using trigonometry. Key vocabulary terms are defined, like accurate angles, angle of elevation, direction, and examples are provided to demonstrate calculating bearing/heading, horizontal and vertical distances, and true north directions. Students are assigned to complete a foldable with vocabulary on one side and examples on the other, as well as a bearing practice worksheet.
Pc 9.6 notes
This document discusses counting principles and permutations and combinations. It begins by defining the fundamental counting principle - that if one group has M choices and another has N choices, the total number of choices is M x N. It then provides examples of using the fundamental counting principle and distinguishing between combinations and permutations. The document explains formulas for combinations and permutations and provides practice problems calculating permutations, combinations, and distinguishable permutations. It concludes by assigning related homework problems.
Pc 9.5 notes
The document is a lesson plan on binomial expansion. It introduces binomial expansion and the binomial theorem. It discusses evaluating combinations using Pascal's triangle and expanding binomial expressions. Examples are provided to expand binomial expressions and find specific terms within expansions using the binomial theorem and Pascal's triangle. Students are assigned related practice problems to solidify their understanding.
Pc 9.2 notes
The document discusses arithmetic sequences and how to find the nth term and partial sums. It provides examples of finding the formula for the nth term when given the first term and common difference. It also gives examples of finding the first few terms when given a later term in the sequence. The document explains how to find the sum of a finite arithmetic sequence and gives practice problems for students to find partial sums.
Pc 9.1 b_notes
The document discusses representing series of numbers through summation notation. It explains that a series can be either finite, with a set number of terms, or infinite, with an unlimited number of terms. Examples are provided to demonstrate calculating partial sums and full sums of series. Properties of series are outlined. Students are assigned problems from the textbook to practice finding sums of different finite and infinite series.
Pc 9.1 a_notes
This document is a lesson plan on sequences and series for a math class. It introduces key concepts like infinite and finite sequences, writing terms of sequences, finding patterns to express the nth term, recursive sequences, and factorials. Examples are provided to have students write out terms of sequences, find expressions for the nth term, evaluate factorials, and solve related problems from their textbook. The lesson aims to help students understand how to represent and work with sequences of numbers.
Pc 9.3 notes
This document introduces geometric sequences and series. It defines a geometric sequence as a sequence where each term after the first is obtained by multiplying the previous term by a fixed number called the common ratio. It provides examples of finding the common ratio of a geometric sequence, finding specific terms, and calculating the sum of finite and infinite geometric series. Students are assigned practice problems finding terms and sums of various geometric sequences and series.
Pc 8.5 notes_appsof_det
This document discusses using determinants and Cramer's rule to solve systems of equations, find the area of triangles formed by three points, and determine if three points are collinear or lie on the same line. It provides examples of using Cramer's rule to solve a system of two equations with two unknowns, finding the area of triangles formed by two example point sets, and checking if an example point set defines collinear points. It also mentions finding the equation of a line through two given points.
Pc 8.3 notes
The document discusses finding the inverse of square matrices to solve systems of linear equations. It defines an inverse matrix as a matrix that when multiplied by the original matrix results in the identity matrix. For a matrix to have an inverse, it must be nonsingular. The document presents methods for finding the inverse of 2x2 and 3x3 matrices, including using the determinant and shortcut formulas. It explains how to use the inverse of the coefficient matrix to solve systems of linear equations. Examples are provided to illustrate calculating inverses and using them to solve systems.
Pc 8.2 notes
The document discusses matrix operations including addition, scalar multiplication, and multiplication. Matrix addition involves adding the corresponding elements of matrices of the same size. Scalar multiplication multiplies each element of a matrix by a scalar value. Matrix multiplication involves multiplying the rows of the first matrix by the columns of the second, with the result being a matrix where the number of columns in the first equals the number of rows in the second. Examples are provided to demonstrate each operation.
Pc 8.4 notes
This document is a lesson on calculating determinants of square matrices. It introduces determinants and provides examples of calculating the determinants of 3x3 matrices using different methods, such as minors and cofactors, expanding along rows or columns, comparing sums of major and minor diagonals, and more. Students are assigned practice problems calculating various matrix determinants.
Pc 8.1 notes
This document discusses using matrices to solve systems of equations. It defines what a matrix is and explains how to write a system of equations as an augmented matrix. It outlines the steps of using elementary row operations to solve the system, including examples working through row operations and solving a sample system. Students are assigned practice problems from the text and reminded there will be a quiz on Monday.
Pc 7.2 notes
The document discusses methods for solving systems of linear equations, including the elimination method which involves getting coefficients that differ only in sign, adding equations to eliminate variables, back-substituting values, and checking solutions. It also covers types of solutions and provides examples of using the elimination method to solve systems of equations. The assignment is to complete practice problems from the textbook.
Pc 7.3 notes
This document provides instruction on solving multivariable linear systems. It explains that Gaussian elimination and row-echelon form can be used to solve such systems. Examples are provided of writing systems in row-echelon form and solving them. Different types of solutions for systems with 3 variables are listed. An assignment is given with practice problems from the textbook.
Pc 7.1 notes
This document provides instruction on solving systems of linear equations using substitution and graphing. It gives examples of using substitution to solve systems of equations by solving one equation for one variable and substituting it into the second equation. Students are then asked to solve sample systems of equations using substitution and complete additional practice problems for homework.
Pc 6.5 a_notes
The document is a lesson plan on complex numbers in trigonometric form. It includes examples of converting between trigonometric and rectangular forms, finding magnitudes and inclinations of complex numbers, multiplying and dividing complex numbers in trigonometric form. Students are assigned problems from their textbook involving these concepts. The objectives are to convert between forms and multiply/divide complex numbers in trigonometric form.
Pc 6.1 2-apps
The document provides examples using the law of sines and law of cosines to solve real-life problems involving angles of elevation, shadows, ship bearings, and distances between objects. It assigns practice problems from the textbook involving these concepts.
Pc 10.7 notes
The document provides instruction on converting between rectangular and polar coordinate systems. It includes examples of converting points and equations between the two systems. Students are assigned problems from their textbook involving converting expressions between rectangular and polar forms.
More from Jonathan Fjelstrom (20)
Recently uploaded
AWS Certified Solutions Architect Associate (SAA-C03)
AWS Certified Solutions Architect Associate (SAA-C03)
A Deep Dive into ScyllaDB's Architecture
This talk will cover ScyllaDB Architecture from the cluster-level view and zoom in on data distribution and internal node architecture. In the process, we will learn the secret sauce used to get ScyllaDB's high availability and superior performance. We will also touch on the upcoming changes to ScyllaDB architecture, moving to strongly consistent metadata and tablets.
Lee Barnes - Path to Becoming an Effective Test Automation Engineer.pdf
So… you want to become a Test Automation Engineer (or hire and develop one)? While there’s quite a bit of information available about important technical and tool skills to master, there’s not enough discussion around the path to becoming an effective Test Automation Engineer that knows how to add VALUE. In my experience this had led to a proliferation of engineers who are proficient with tools and building frameworks but have skill and knowledge gaps, especially in software testing, that reduce the value they deliver with test automation.
In this talk, Lee will share his lessons learned from over 30 years of working with, and mentoring, hundreds of Test Automation Engineers. Whether you’re looking to get started in test automation or just want to improve your trade, this talk will give you a solid foundation and roadmap for ensuring your test automation efforts continuously add value. This talk is equally valuable for both aspiring Test Automation Engineers and those managing them! All attendees will take away a set of key foundational knowledge and a high-level learning path for leveling up test automation skills and ensuring they add value to their organizations.
Must Know Postgres Extension for DBA and Developer during Migration
Mydbops Opensource Database Meetup 16
Topic: Must-Know PostgreSQL Extensions for Developers and DBAs During Migration
Speaker: Deepak Mahto, Founder of DataCloudGaze Consulting
Date & Time: 8th June | 10 AM - 1 PM IST
Venue: Bangalore International Centre, Bangalore
Abstract: Discover how PostgreSQL extensions can be your secret weapon! This talk explores how key extensions enhance database capabilities and streamline the migration process for users moving from other relational databases like Oracle.
Key Takeaways:
* Learn about crucial extensions like oracle_fdw, pgtt, and pg_audit that ease migration complexities.
* Gain valuable strategies for implementing these extensions in PostgreSQL to achieve license freedom.
* Discover how these key extensions can empower both developers and DBAs during the migration process.
* Don't miss this chance to gain practical knowledge from an industry expert and stay updated on the latest open-source database trends.
Mydbops Managed Services specializes in taking the pain out of database management while optimizing performance. Since 2015, we have been providing top-notch support and assistance for the top three open-source databases: MySQL, MongoDB, and PostgreSQL.
Our team offers a wide range of services, including assistance, support, consulting, 24/7 operations, and expertise in all relevant technologies. We help organizations improve their database's performance, scalability, efficiency, and availability.
Contact us: info@mydbops.com
Visit: https://www.mydbops.com/
Follow us on LinkedIn: https://in.linkedin.com/company/mydbops
For more details and updates, please follow up the below links.
Meetup Page : https://www.meetup.com/mydbops-databa...
Twitter: https://twitter.com/mydbopsofficial
Blogs: https://www.mydbops.com/blog/
Facebook(Meta): https://www.facebook.com/mydbops/
LF Energy Webinar: Carbon Data Specifications: Mechanisms to Improve Data Acc...
This LF Energy webinar took place June 20, 2024. It featured:
-Alex Thornton, LF Energy
-Hallie Cramer, Google
-Daniel Roesler, UtilityAPI
-Henry Richardson, WattTime
In response to the urgency and scale required to effectively address climate change, open source solutions offer significant potential for driving innovation and progress. Currently, there is a growing demand for standardization and interoperability in energy data and modeling. Open source standards and specifications within the energy sector can also alleviate challenges associated with data fragmentation, transparency, and accessibility. At the same time, it is crucial to consider privacy and security concerns throughout the development of open source platforms.
This webinar will delve into the motivations behind establishing LF Energy’s Carbon Data Specification Consortium. It will provide an overview of the draft specifications and the ongoing progress made by the respective working groups.
Three primary specifications will be discussed:
-Discovery and client registration, emphasizing transparent processes and secure and private access
-Customer data, centering around customer tariffs, bills, energy usage, and full consumption disclosure
-Power systems data, focusing on grid data, inclusive of transmission and distribution networks, generation, intergrid power flows, and market settlement data
inQuba Webinar Mastering Customer Journey Management with Dr Graham Hill
HERE IS YOUR WEBINAR CONTENT! 'Mastering Customer Journey Management with Dr. Graham Hill'. We hope you find the webinar recording both insightful and enjoyable.
In this webinar, we explored essential aspects of Customer Journey Management and personalization. Here’s a summary of the key insights and topics discussed:
Key Takeaways:
Understanding the Customer Journey: Dr. Hill emphasized the importance of mapping and understanding the complete customer journey to identify touchpoints and opportunities for improvement.
Personalization Strategies: We discussed how to leverage data and insights to create personalized experiences that resonate with customers.
Technology Integration: Insights were shared on how inQuba’s advanced technology can streamline customer interactions and drive operational efficiency.
Astute Business Solutions | Oracle Cloud Partner |
Your goto partner for Oracle Cloud, PeopleSoft, E-Business Suite, and Ellucian Banner. We are a firm specialized in managed services and consulting.
[OReilly Superstream] Occupy the Space: A grassroots guide to engineering (an...
The typical problem in product engineering is not bad strategy, so much as “no strategy”. This leads to confusion, lack of motivation, and incoherent action. The next time you look for a strategy and find an empty space, instead of waiting for it to be filled, I will show you how to fill it in yourself. If you’re wrong, it forces a correction. If you’re right, it helps create focus. I’ll share how I’ve approached this in the past, both what works and lessons for what didn’t work so well.
Getting the Most Out of ScyllaDB Monitoring: ShareChat's Tips
ScyllaDB monitoring provides a lot of useful information. But sometimes it’s not easy to find the root of the problem if something is wrong or even estimate the remaining capacity by the load on the cluster. This talk shares our team's practical tips on: 1) How to find the root of the problem by metrics if ScyllaDB is slow 2) How to interpret the load and plan capacity for the future 3) Compaction strategies and how to choose the right one 4) Important metrics which aren’t available in the default monitoring setup.
Essentials of Automations: Exploring Attributes & Automation Parameters
Building automations in FME Flow can save time, money, and help businesses scale by eliminating data silos and providing data to stakeholders in real-time. One essential component to orchestrating complex automations is the use of attributes & automation parameters (both formerly known as “keys”). In fact, it’s unlikely you’ll ever build an Automation without using these components, but what exactly are they?
Attributes & automation parameters enable the automation author to pass data values from one automation component to the next. During this webinar, our FME Flow Specialists will cover leveraging the three types of these output attributes & parameters in FME Flow: Event, Custom, and Automation. As a bonus, they’ll also be making use of the Split-Merge Block functionality.
You’ll leave this webinar with a better understanding of how to maximize the potential of automations by making use of attributes & automation parameters, with the ultimate goal of setting your enterprise integration workflows up on autopilot.
JavaLand 2024: Application Development Green Masterplan
My presentation slides I used at JavaLand 2024
"$10 thousand per minute of downtime: architecture, queues, streaming and fin...
Direct losses from downtime in 1 minute = $5-$10 thousand dollars. Reputation is priceless.
As part of the talk, we will consider the architectural strategies necessary for the development of highly loaded fintech solutions. We will focus on using queues and streaming to efficiently work and manage large amounts of data in real-time and to minimize latency.
We will focus special attention on the architectural patterns used in the design of the fintech system, microservices and event-driven architecture, which ensure scalability, fault tolerance, and consistency of the entire system.
QA or the Highway - Component Testing: Bridging the gap between frontend appl...
These are the slides for the presentation, "Component Testing: Bridging the gap between frontend applications" that was presented at QA or the Highway 2024 in Columbus, OH by Zachary Hamm.
Harnessing the Power of NLP and Knowledge Graphs for Opioid Research
Gursev Pirge, PhD
Senior Data Scientist - JohnSnowLabs
GNSS spoofing via SDR (Criptored Talks 2024)
In the realm of cybersecurity, offensive security practices act as a critical shield. By simulating real-world attacks in a controlled environment, these techniques expose vulnerabilities before malicious actors can exploit them. This proactive approach allows manufacturers to identify and fix weaknesses, significantly enhancing system security.
This presentation delves into the development of a system designed to mimic Galileo's Open Service signal using software-defined radio (SDR) technology. We'll begin with a foundational overview of both Global Navigation Satellite Systems (GNSS) and the intricacies of digital signal processing.
The presentation culminates in a live demonstration. We'll showcase the manipulation of Galileo's Open Service pilot signal, simulating an attack on various software and hardware systems. This practical demonstration serves to highlight the potential consequences of unaddressed vulnerabilities, emphasizing the importance of offensive security practices in safeguarding critical infrastructure.
AppSec PNW: Android and iOS Application Security with MobSF
Mobile Security Framework - MobSF is a free and open source automated mobile application security testing environment designed to help security engineers, researchers, developers, and penetration testers to identify security vulnerabilities, malicious behaviours and privacy concerns in mobile applications using static and dynamic analysis. It supports all the popular mobile application binaries and source code formats built for Android and iOS devices. In addition to automated security assessment, it also offers an interactive testing environment to build and execute scenario based test/fuzz cases against the application.
This talk covers:
Using MobSF for static analysis of mobile applications.
Interactive dynamic security assessment of Android and iOS applications.
Solving Mobile app CTF challenges.
Reverse engineering and runtime analysis of Mobile malware.
How to shift left and integrate MobSF/mobsfscan SAST and DAST in your build pipeline.
MySQL InnoDB Storage Engine: Deep Dive - Mydbops
This presentation, titled "MySQL - InnoDB" and delivered by Mayank Prasad at the Mydbops Open Source Database Meetup 16 on June 8th, 2024, covers dynamic configuration of REDO logs and instant ADD/DROP columns in InnoDB.
This presentation dives deep into the world of InnoDB, exploring two ground-breaking features introduced in MySQL 8.0:
• Dynamic Configuration of REDO Logs: Enhance your database's performance and flexibility with on-the-fly adjustments to REDO log capacity. Unleash the power of the snake metaphor to visualize how InnoDB manages REDO log files.
• Instant ADD/DROP Columns: Say goodbye to costly table rebuilds! This presentation unveils how InnoDB now enables seamless addition and removal of columns without compromising data integrity or incurring downtime.
Key Learnings:
• Grasp the concept of REDO logs and their significance in InnoDB's transaction management.
• Discover the advantages of dynamic REDO log configuration and how to leverage it for optimal performance.
• Understand the inner workings of instant ADD/DROP columns and their impact on database operations.
• Gain valuable insights into the row versioning mechanism that empowers instant column modifications.
Recently uploaded (20)
Poznań ACE event - 19.06.2024 Team 24 Wrapup slidedeck
Poznań ACE event - 19.06.2024 Team 24 Wrapup slidedeck
AWS Certified Solutions Architect Associate (SAA-C03)
AWS Certified Solutions Architect Associate (SAA-C03)
Lee Barnes - Path to Becoming an Effective Test Automation Engineer.pdf
Lee Barnes - Path to Becoming an Effective Test Automation Engineer.pdf
Must Know Postgres Extension for DBA and Developer during Migration
Must Know Postgres Extension for DBA and Developer during Migration
LF Energy Webinar: Carbon Data Specifications: Mechanisms to Improve Data Acc...
LF Energy Webinar: Carbon Data Specifications: Mechanisms to Improve Data Acc...
inQuba Webinar Mastering Customer Journey Management with Dr Graham Hill
inQuba Webinar Mastering Customer Journey Management with Dr Graham Hill
Astute Business Solutions | Oracle Cloud Partner |
Astute Business Solutions | Oracle Cloud Partner |
[OReilly Superstream] Occupy the Space: A grassroots guide to engineering (an...
[OReilly Superstream] Occupy the Space: A grassroots guide to engineering (an...
Getting the Most Out of ScyllaDB Monitoring: ShareChat's Tips
Getting the Most Out of ScyllaDB Monitoring: ShareChat's Tips
Essentials of Automations: Exploring Attributes & Automation Parameters
Essentials of Automations: Exploring Attributes & Automation Parameters
JavaLand 2024: Application Development Green Masterplan
JavaLand 2024: Application Development Green Masterplan
"$10 thousand per minute of downtime: architecture, queues, streaming and fin...
"$10 thousand per minute of downtime: architecture, queues, streaming and fin...
QA or the Highway - Component Testing: Bridging the gap between frontend appl...
QA or the Highway - Component Testing: Bridging the gap between frontend appl...
Harnessing the Power of NLP and Knowledge Graphs for Opioid Research
Harnessing the Power of NLP and Knowledge Graphs for Opioid Research
AppSec PNW: Android and iOS Application Security with MobSF
AppSec PNW: Android and iOS Application Security with MobSF