Scalars and Vectors Part 3
•Download as PPTX, PDF•
0 likes•11 views
This document provides tips for taking online classes, including being prepared before class, treating it like a real course, managing time well, creating a dedicated study space, eliminating distractions, participating actively, and leveraging your network. It also outlines expectations for participating in online classes, such as keeping your camera on, muting your audio, taking notes on your own materials rather than on the shared screen, and only speaking or sharing after getting permission.
Report
Share
Report
Share
Recommended
Calculating Uncertainties
A brief guide (with practice questions) to calculating uncertainties in IB Chemistry (and the other Group 4 subjects).
Unit 1 2 scientific notation
This document introduces scientific notation and provides examples for converting between standard and scientific notation. It explains that scientific notation uses a number and exponential term to represent very large or small numbers. Standard notation numbers are converted to scientific notation by moving the decimal point to the left or right until there is one non-zero digit before the decimal, and adjusting the exponential term accordingly. Calculations can then be performed using scientific notation on a calculator. The document provides examples and practice problems to illustrate these concepts.
2 2 unit conversions
This document discusses unit conversions using dimensional analysis. Dimensional analysis allows one to convert between units by multiplying the original value by a conversion factor relating the two units. To perform a conversion, one identifies the given and desired units, determines the conversion factor relating those units, sets up the conversion factor as a fraction, and performs the calculation, cancelling out units. An example converts 36 inches to feet by multiplying 36 inches by the conversion factor 1 foot / 12 inches to obtain the answer of 3 feet. Dimensional analysis ensures conversions are performed correctly regardless of complexity.
Measurement
Measurement and units are important concepts in physics. The document discusses the SI system of units including fundamental units like meters, kilograms, and seconds. It also covers prefixes that are used with SI units to denote larger or smaller quantities. Derived units and dimensional analysis are introduced. The document also discusses measurement precision, significant figures, scientific notation, and estimating order of magnitude. Calculating with measurements and expressing uncertainty are also summarized.
Unit 1 3 significant digits
This document discusses significant digits and proper rounding techniques in calculations. It begins by explaining how to round numbers to various places and the rules for determining significant digits. It emphasizes that the accuracy of a calculation is limited by the least accurate initial value. For addition and subtraction, the answer should be rounded to the least number of decimal places. For multiplication and division, the answer should be rounded to the same number of significant digits as the least accurate factor or dividend. Examples are provided to demonstrate rounding calculations correctly according to these rules.
2 1 units introduction
This document discusses the importance of units in measurements and calculations. It introduces the seven standard base units used in science for measurements like length, mass, time, etc. Derived units are also explained as combinations of base units, like square meters for area or joules for energy. The document emphasizes that including units is crucial for chemistry calculations to catch mistakes, and advises writing out work on paper with units rather than solely using a calculator.
Chapter 02
- The document discusses counting and rounding significant figures when performing calculations with measurements. It provides rules for determining the number of significant figures in products, quotients, sums, and differences.
- It also discusses common units in the International System of Units (SI) including prefixes, and provides examples of unit conversions using dimensional analysis and setting up conversion factors.
Measurement & uncertainty pp presentation
This document discusses estimating uncertainties in experimental measurements. It explains that all measured values must include an estimated error or uncertainty. For a tennis ball measured to have a diameter of 6.4 cm, the estimated error is ±0.1 cm, meaning the actual diameter lies between 6.3-6.5 cm. There are two main types of errors: systematic errors associated with measurement devices or procedures, and random errors from fluctuating conditions. When adding or subtracting measured values, the numerical uncertainties are added. When multiplying or dividing, the percentage errors are added. Formulas are provided for calculating percentage error from numerical error. Examples demonstrate applying these rules to operations with measured values.
Recommended
Calculating Uncertainties
A brief guide (with practice questions) to calculating uncertainties in IB Chemistry (and the other Group 4 subjects).
Unit 1 2 scientific notation
This document introduces scientific notation and provides examples for converting between standard and scientific notation. It explains that scientific notation uses a number and exponential term to represent very large or small numbers. Standard notation numbers are converted to scientific notation by moving the decimal point to the left or right until there is one non-zero digit before the decimal, and adjusting the exponential term accordingly. Calculations can then be performed using scientific notation on a calculator. The document provides examples and practice problems to illustrate these concepts.
2 2 unit conversions
This document discusses unit conversions using dimensional analysis. Dimensional analysis allows one to convert between units by multiplying the original value by a conversion factor relating the two units. To perform a conversion, one identifies the given and desired units, determines the conversion factor relating those units, sets up the conversion factor as a fraction, and performs the calculation, cancelling out units. An example converts 36 inches to feet by multiplying 36 inches by the conversion factor 1 foot / 12 inches to obtain the answer of 3 feet. Dimensional analysis ensures conversions are performed correctly regardless of complexity.
Measurement
Measurement and units are important concepts in physics. The document discusses the SI system of units including fundamental units like meters, kilograms, and seconds. It also covers prefixes that are used with SI units to denote larger or smaller quantities. Derived units and dimensional analysis are introduced. The document also discusses measurement precision, significant figures, scientific notation, and estimating order of magnitude. Calculating with measurements and expressing uncertainty are also summarized.
Unit 1 3 significant digits
This document discusses significant digits and proper rounding techniques in calculations. It begins by explaining how to round numbers to various places and the rules for determining significant digits. It emphasizes that the accuracy of a calculation is limited by the least accurate initial value. For addition and subtraction, the answer should be rounded to the least number of decimal places. For multiplication and division, the answer should be rounded to the same number of significant digits as the least accurate factor or dividend. Examples are provided to demonstrate rounding calculations correctly according to these rules.
2 1 units introduction
This document discusses the importance of units in measurements and calculations. It introduces the seven standard base units used in science for measurements like length, mass, time, etc. Derived units are also explained as combinations of base units, like square meters for area or joules for energy. The document emphasizes that including units is crucial for chemistry calculations to catch mistakes, and advises writing out work on paper with units rather than solely using a calculator.
Chapter 02
- The document discusses counting and rounding significant figures when performing calculations with measurements. It provides rules for determining the number of significant figures in products, quotients, sums, and differences.
- It also discusses common units in the International System of Units (SI) including prefixes, and provides examples of unit conversions using dimensional analysis and setting up conversion factors.
Measurement & uncertainty pp presentation
This document discusses estimating uncertainties in experimental measurements. It explains that all measured values must include an estimated error or uncertainty. For a tennis ball measured to have a diameter of 6.4 cm, the estimated error is ±0.1 cm, meaning the actual diameter lies between 6.3-6.5 cm. There are two main types of errors: systematic errors associated with measurement devices or procedures, and random errors from fluctuating conditions. When adding or subtracting measured values, the numerical uncertainties are added. When multiplying or dividing, the percentage errors are added. Formulas are provided for calculating percentage error from numerical error. Examples demonstrate applying these rules to operations with measured values.
Lecture 1 physics_and_measurement
This document discusses units of measurement and conversions in physics. It introduces the International System of Units (SI) which standardizes the basic units used to measure length, mass, time, temperature, electric current, luminous intensity, and amount of substance. Derived units are also discussed, along with common prefixes used to denote powers of ten when measuring larger or smaller quantities. Examples are provided for unit conversions between kilometers and meters, and kilometers per hour and meters per second. The document also differentiates between accuracy and precision in measurements.
Chapter 1 slides na-12
This document discusses physical quantities, units of measurement, and methods for measuring various physical quantities accurately. It defines physical quantities as consisting of a numerical magnitude and unit. It introduces the basic SI units for length, mass, time, etc. and prefixes for indicating decimal multiples and submultiples. Methods covered include using rulers, vernier calipers, micrometers, and stopwatches to measure lengths and time intervals.
Error analysis
Measurement involves uncertainty from errors and imprecision. An error is the difference between measured and expected values, while uncertainty summarizes the error. Random errors arise from unpredictable fluctuations, and systematic errors are reproducible biases. Accuracy refers to closeness to the true value, while precision reflects consistency of measurements. Uncertainty is quantified from instrument resolution, repeated measurements, or comparison to a standard value. It is calculated and reported with the measurement result.
1 ESO - UNIT 10 - LINES AND ANGLES. GEOMETRIC FIGURES.
The document describes how to construct perpendicular bisectors and angle bisectors in geometry. It explains that a perpendicular bisector is a line that passes through the midpoint of a segment and divides it into two equal parts at a 90 degree angle. It provides steps to construct a perpendicular bisector of a segment. It also defines an angle bisector as a line that passes through the apex of an angle and divides it into two equal angles. It gives steps to construct the bisector of an angle. The document then discusses parallel lines and different types of angles formed when lines are crossed by a transversal. Finally, it covers measuring angles in degrees, minutes and seconds using a protractor or mathematical conversions.
Ib grade 11 physics lesson 1 measurements and uncertainities
This document discusses measurement and uncertainties in physics. It covers:
1) Expressing quantities using orders of magnitude to easily understand scale.
2) The ranges of distances, masses, and times that occur in the universe from smallest to greatest.
3) Calculating ratios as differences in orders of magnitude to compare quantities.
Error in measurement
Errors and uncertainties are inherent in the process of making any measurement and in the instrument with which the measurement are made.
Description and Measurement
Measurement is used to describe quantities with numbers and answer questions of amount, length, or distance. It is important for scientific work to rely on measurements rather than opinions. Measurement can also describe events by conveying information about year, length, order, and timing. Estimation uses experience to provide rough measurements and is useful when exact numbers are not needed. Precision refers to how close measurements are, while accuracy compares a measurement to the actual value. Significant digits reflect the precision of a number.
2 4 metric prefixes
The document discusses metric prefixes that are used to modify units of measurement and make large or small quantities more manageable. It explains that prefixes like kilo (k), centi (c), and milli (m) multiply the base unit by factors of 1000, 100, and 1000 respectively. For example, 1 centimeter (cm) is equal to 0.01 meters, 1 millimeter (mm) is equal to 0.001 meters, and 1 kilometer (km) is equal to 1000 meters. The document provides a table of common metric prefixes and their scientific notation abbreviations to help memorize the system and properly apply prefixes when modifying units of measurement.
Physics 1
This document provides an introduction to the topics that will be covered in Week 1, Lesson 1 of a physics course. It includes brief descriptions of what physics is, how measurements are made and quantified in terms of accuracy and precision, the fundamental dimensions and units used in physics, how to perform calculations and conversions involving units, and how to determine the appropriate number of significant figures in measurements and calculations. The key topics covered are counting, measuring, accuracy vs precision, dimensional analysis, unit conversions, and significant figures. Students are assigned to read sections 1.1 to 1.6 in their textbook to prepare for the lesson.
2.2 measurements, estimations and errors(part 2)
Measurements and estimations involve uncertainty that arises from imprecision, random errors, and systematic errors. Numbers can be categorized as exact or approximate, with approximations involving uncertainty. Uncertainty must be expressed either implicitly by careful rounding or explicitly using ranges. Significant digits indicate the precision of measurements and estimations, and implied uncertainty ranges can be determined from them. When combining approximate values, answers must be rounded or expressed as ranges consistent with the least precise input to properly account for accumulated uncertainties.
11.1 uncertainty in measurement
This document discusses measurement and data processing. It describes random uncertainties and systematic errors, and distinguishes between precision and accuracy. It explains that random uncertainties can be reduced by taking multiple measurements, while systematic errors must be corrected before an investigation. Precision refers to the closeness of repeated measurements, while accuracy refers to how close measurements are to the true value. The document also covers uncertainty ranges, significant figures, absolute and percentage uncertainties, and how uncertainties are treated in calculations. It provides examples of plotting graphs and determining the line of best fit.
Physics form 4 chapter1 slides
1) Physics is the study of natural phenomena involving force, matter, and energy. It uses experimental observation and quantitative measurement.
2) There are base quantities like mass, time, and length that cannot be defined by other quantities, and derived quantities like volume and velocity that are calculated from base quantities.
3) Measurements in physics aim for both accuracy, being close to the true value, and consistency, having results that are close together. Instruments have varying levels of sensitivity to allow for small measurements.
Introduction to physics
Physics is the study of natural phenomena and properties of matter. It involves understanding why hot coffee turns cold over time and how images are formed in mirrors. Key concepts in physics include forces, pressure, waves, electromagnetism, and physical quantities which are measured using instruments with varying levels of sensitivity, accuracy, and consistency. Sources of experimental error include zero errors, incorrect calibration, parallax errors, and inconsistent techniques.
Physics 1.1 Scientific Notation
1. The document discusses scientific notation and orders of magnitude when measuring physical quantities.
2. Scientific notation is used to write numbers between 1 and 10 with exponents of 10 to indicate orders of magnitude, like 3.00x108 ms-1 for the speed of light.
3. Orders of magnitude provide an approximate comparison of quantities by ignoring insignificant digits and comparing exponents, useful when measurements span several orders.
Chapter 2
This document discusses force vectors and their properties. It defines vectors as quantities that have both magnitude and direction, while scalars only have magnitude. Vectors are represented graphically by arrows, with length indicating magnitude and angle indicating direction. Common vector quantities include displacement, velocity, and force. The document explains how to add, subtract, and resolve vectors into rectangular components using trigonometric or parallelogram methods. It also discusses resultant forces, Cartesian vectors, position vectors, forces directed along a line, and the dot product.
AP Physics 1 - Introduction
This document provides an introduction to physics, covering several key topics:
- The main areas of physics are mechanics, thermodynamics, vibrations and waves, optics, electromagnetism, relativity, and quantum mechanics.
- Dimensional analysis is used to determine whether equations are valid by checking that quantities with the same dimensions can be combined and that both sides of an equation have the same dimensions.
- Symbols like Δ, Σ, g, x are commonly used in physics equations to represent concepts like change, sum, gravitational acceleration, and displacement.
Errors and uncertainties
This document discusses different types of errors in experimental measurements and calculations. It describes random errors, which vary unpredictably, and systematic errors, which are consistent biases. Random errors can be reduced by taking more trials, while systematic errors must be accounted for. Mistakes are distinguished from errors. Significant figures rules for measurements and calculations are explained. The concepts of uncertainty, including limits of reading, degrees of uncertainty, absolute and relative uncertainty, and uncertainty propagation through calculations, are introduced.
6 Concor
Hierarchical clustering is an algorithm that groups similar items into clusters. It begins by treating each item as its own cluster, then iteratively merges the closest pairs of clusters until all items are in one cluster. The distance between clusters can be computed in different ways, such as single-linkage (shortest distance), complete-linkage (longest distance), or average-linkage (mean distance). Multidimensional scaling (MDS) maps items to points in a multidimensional space such that similar items are closer together. It aims to minimize the stress between the input similarities and distances on the map. MDS is useful for visualizing patterns in similarity data and identifying clusters or underlying dimensions.
6 Hiclus
The document discusses hierarchical clustering, an algorithm that groups items into clusters. It begins by assigning each item to its own cluster, then iteratively merges the closest pairs of clusters until all items are in one cluster. There are different methods to calculate distances between clusters when merging, such as single, complete, or average link. Complete and average link methods tend to produce more stable and inclusive clusters. An example uses US cities and shows the step-by-step merging of clusters under the single link method.
Accuracy precision errors
The document discusses key concepts related to accuracy and precision in measurement. It defines accuracy as how close a measurement is to the true value, and precision as how consistent repeated measurements are. Percent error is used to quantify accuracy, while precision is expressed using standard deviation. Significant figures, proper recording of measurements, and handling calculations while maintaining significant figures are also covered.
Scalars and Vectors Part4
This document provides tips for taking online classes. It recommends that students be ready before class starts, treat online courses seriously, hold themselves accountable, practice time management, and create a dedicated study space. It also advises students to eliminate distractions, figure out how they learn best, actively participate, and leverage their networks. During class, students should turn on their cameras, mute audio when not speaking, and only ask or share after getting permission. They should also take notes without writing on the shared screen. Overall, students need to be disciplined when taking online courses.
More Related Content
What's hot
Lecture 1 physics_and_measurement
This document discusses units of measurement and conversions in physics. It introduces the International System of Units (SI) which standardizes the basic units used to measure length, mass, time, temperature, electric current, luminous intensity, and amount of substance. Derived units are also discussed, along with common prefixes used to denote powers of ten when measuring larger or smaller quantities. Examples are provided for unit conversions between kilometers and meters, and kilometers per hour and meters per second. The document also differentiates between accuracy and precision in measurements.
Chapter 1 slides na-12
This document discusses physical quantities, units of measurement, and methods for measuring various physical quantities accurately. It defines physical quantities as consisting of a numerical magnitude and unit. It introduces the basic SI units for length, mass, time, etc. and prefixes for indicating decimal multiples and submultiples. Methods covered include using rulers, vernier calipers, micrometers, and stopwatches to measure lengths and time intervals.
Error analysis
Measurement involves uncertainty from errors and imprecision. An error is the difference between measured and expected values, while uncertainty summarizes the error. Random errors arise from unpredictable fluctuations, and systematic errors are reproducible biases. Accuracy refers to closeness to the true value, while precision reflects consistency of measurements. Uncertainty is quantified from instrument resolution, repeated measurements, or comparison to a standard value. It is calculated and reported with the measurement result.
1 ESO - UNIT 10 - LINES AND ANGLES. GEOMETRIC FIGURES.
The document describes how to construct perpendicular bisectors and angle bisectors in geometry. It explains that a perpendicular bisector is a line that passes through the midpoint of a segment and divides it into two equal parts at a 90 degree angle. It provides steps to construct a perpendicular bisector of a segment. It also defines an angle bisector as a line that passes through the apex of an angle and divides it into two equal angles. It gives steps to construct the bisector of an angle. The document then discusses parallel lines and different types of angles formed when lines are crossed by a transversal. Finally, it covers measuring angles in degrees, minutes and seconds using a protractor or mathematical conversions.
Ib grade 11 physics lesson 1 measurements and uncertainities
This document discusses measurement and uncertainties in physics. It covers:
1) Expressing quantities using orders of magnitude to easily understand scale.
2) The ranges of distances, masses, and times that occur in the universe from smallest to greatest.
3) Calculating ratios as differences in orders of magnitude to compare quantities.
Error in measurement
Errors and uncertainties are inherent in the process of making any measurement and in the instrument with which the measurement are made.
Description and Measurement
Measurement is used to describe quantities with numbers and answer questions of amount, length, or distance. It is important for scientific work to rely on measurements rather than opinions. Measurement can also describe events by conveying information about year, length, order, and timing. Estimation uses experience to provide rough measurements and is useful when exact numbers are not needed. Precision refers to how close measurements are, while accuracy compares a measurement to the actual value. Significant digits reflect the precision of a number.
2 4 metric prefixes
The document discusses metric prefixes that are used to modify units of measurement and make large or small quantities more manageable. It explains that prefixes like kilo (k), centi (c), and milli (m) multiply the base unit by factors of 1000, 100, and 1000 respectively. For example, 1 centimeter (cm) is equal to 0.01 meters, 1 millimeter (mm) is equal to 0.001 meters, and 1 kilometer (km) is equal to 1000 meters. The document provides a table of common metric prefixes and their scientific notation abbreviations to help memorize the system and properly apply prefixes when modifying units of measurement.
Physics 1
This document provides an introduction to the topics that will be covered in Week 1, Lesson 1 of a physics course. It includes brief descriptions of what physics is, how measurements are made and quantified in terms of accuracy and precision, the fundamental dimensions and units used in physics, how to perform calculations and conversions involving units, and how to determine the appropriate number of significant figures in measurements and calculations. The key topics covered are counting, measuring, accuracy vs precision, dimensional analysis, unit conversions, and significant figures. Students are assigned to read sections 1.1 to 1.6 in their textbook to prepare for the lesson.
2.2 measurements, estimations and errors(part 2)
Measurements and estimations involve uncertainty that arises from imprecision, random errors, and systematic errors. Numbers can be categorized as exact or approximate, with approximations involving uncertainty. Uncertainty must be expressed either implicitly by careful rounding or explicitly using ranges. Significant digits indicate the precision of measurements and estimations, and implied uncertainty ranges can be determined from them. When combining approximate values, answers must be rounded or expressed as ranges consistent with the least precise input to properly account for accumulated uncertainties.
11.1 uncertainty in measurement
This document discusses measurement and data processing. It describes random uncertainties and systematic errors, and distinguishes between precision and accuracy. It explains that random uncertainties can be reduced by taking multiple measurements, while systematic errors must be corrected before an investigation. Precision refers to the closeness of repeated measurements, while accuracy refers to how close measurements are to the true value. The document also covers uncertainty ranges, significant figures, absolute and percentage uncertainties, and how uncertainties are treated in calculations. It provides examples of plotting graphs and determining the line of best fit.
Physics form 4 chapter1 slides
1) Physics is the study of natural phenomena involving force, matter, and energy. It uses experimental observation and quantitative measurement.
2) There are base quantities like mass, time, and length that cannot be defined by other quantities, and derived quantities like volume and velocity that are calculated from base quantities.
3) Measurements in physics aim for both accuracy, being close to the true value, and consistency, having results that are close together. Instruments have varying levels of sensitivity to allow for small measurements.
Introduction to physics
Physics is the study of natural phenomena and properties of matter. It involves understanding why hot coffee turns cold over time and how images are formed in mirrors. Key concepts in physics include forces, pressure, waves, electromagnetism, and physical quantities which are measured using instruments with varying levels of sensitivity, accuracy, and consistency. Sources of experimental error include zero errors, incorrect calibration, parallax errors, and inconsistent techniques.
Physics 1.1 Scientific Notation
1. The document discusses scientific notation and orders of magnitude when measuring physical quantities.
2. Scientific notation is used to write numbers between 1 and 10 with exponents of 10 to indicate orders of magnitude, like 3.00x108 ms-1 for the speed of light.
3. Orders of magnitude provide an approximate comparison of quantities by ignoring insignificant digits and comparing exponents, useful when measurements span several orders.
Chapter 2
This document discusses force vectors and their properties. It defines vectors as quantities that have both magnitude and direction, while scalars only have magnitude. Vectors are represented graphically by arrows, with length indicating magnitude and angle indicating direction. Common vector quantities include displacement, velocity, and force. The document explains how to add, subtract, and resolve vectors into rectangular components using trigonometric or parallelogram methods. It also discusses resultant forces, Cartesian vectors, position vectors, forces directed along a line, and the dot product.
AP Physics 1 - Introduction
This document provides an introduction to physics, covering several key topics:
- The main areas of physics are mechanics, thermodynamics, vibrations and waves, optics, electromagnetism, relativity, and quantum mechanics.
- Dimensional analysis is used to determine whether equations are valid by checking that quantities with the same dimensions can be combined and that both sides of an equation have the same dimensions.
- Symbols like Δ, Σ, g, x are commonly used in physics equations to represent concepts like change, sum, gravitational acceleration, and displacement.
Errors and uncertainties
This document discusses different types of errors in experimental measurements and calculations. It describes random errors, which vary unpredictably, and systematic errors, which are consistent biases. Random errors can be reduced by taking more trials, while systematic errors must be accounted for. Mistakes are distinguished from errors. Significant figures rules for measurements and calculations are explained. The concepts of uncertainty, including limits of reading, degrees of uncertainty, absolute and relative uncertainty, and uncertainty propagation through calculations, are introduced.
6 Concor
Hierarchical clustering is an algorithm that groups similar items into clusters. It begins by treating each item as its own cluster, then iteratively merges the closest pairs of clusters until all items are in one cluster. The distance between clusters can be computed in different ways, such as single-linkage (shortest distance), complete-linkage (longest distance), or average-linkage (mean distance). Multidimensional scaling (MDS) maps items to points in a multidimensional space such that similar items are closer together. It aims to minimize the stress between the input similarities and distances on the map. MDS is useful for visualizing patterns in similarity data and identifying clusters or underlying dimensions.
6 Hiclus
The document discusses hierarchical clustering, an algorithm that groups items into clusters. It begins by assigning each item to its own cluster, then iteratively merges the closest pairs of clusters until all items are in one cluster. There are different methods to calculate distances between clusters when merging, such as single, complete, or average link. Complete and average link methods tend to produce more stable and inclusive clusters. An example uses US cities and shows the step-by-step merging of clusters under the single link method.
Accuracy precision errors
The document discusses key concepts related to accuracy and precision in measurement. It defines accuracy as how close a measurement is to the true value, and precision as how consistent repeated measurements are. Percent error is used to quantify accuracy, while precision is expressed using standard deviation. Significant figures, proper recording of measurements, and handling calculations while maintaining significant figures are also covered.
What's hot (20)
1 ESO - UNIT 10 - LINES AND ANGLES. GEOMETRIC FIGURES.
1 ESO - UNIT 10 - LINES AND ANGLES. GEOMETRIC FIGURES.
Ib grade 11 physics lesson 1 measurements and uncertainities
Ib grade 11 physics lesson 1 measurements and uncertainities
Similar to Scalars and Vectors Part 3
Scalars and Vectors Part4
This document provides tips for taking online classes. It recommends that students be ready before class starts, treat online courses seriously, hold themselves accountable, practice time management, and create a dedicated study space. It also advises students to eliminate distractions, figure out how they learn best, actively participate, and leverage their networks. During class, students should turn on their cameras, mute audio when not speaking, and only ask or share after getting permission. They should also take notes without writing on the shared screen. Overall, students need to be disciplined when taking online courses.
Semana 3. integral de una función vectorial
This document discusses vector-valued functions and their integrals. It defines the indefinite and definite integrals of a vector-valued function f(t) = (f1(t), f2(t), ..., fn(t)). It also defines the arc length of a curve C described by a vector-valued function from a to b. It introduces the unit tangent vector T(t), principal normal vector N(t), and binormal vector B(t) that form the moving frame (trihedron) along the curve. It defines the osculating plane, normal plane, and rectifying plane associated with a point f(t0) on the curve.
Vectors in mechanics
Newtonian mechanics in vector form:
Elements of vectors, operations on vectors, kinematics, Laws of Newton, Momentum & Impulse
Algebra Trigonometry Problems
This document provides a review of various algebra and trigonometry concepts including exponents, radicals, functions, polynomials, factoring, rational expressions, graphing, equations, inequalities, trigonometric functions and identities, inverse trigonometric functions, and solving trigonometric equations. It includes over a dozen practice problems for each topic to help reinforce the concepts and formulas through worked examples.
Integral and Differential CalculusI.pptx
The document provides information about differentiation and finding derivatives of functions:
1) It defines the derivative and introduces basic differentiation rules like the power rule, constant multiple rule, and product rule.
2) Examples are provided to demonstrate applying each rule to find the derivative of various functions like polynomials, quotients, and composite functions.
3) The key steps for using each rule are summarized to help the reader differentiate a wide range of functions.
Unit 6, Lesson 3 - Vectors
Unit 6, Lesson 3 - Vectors
Lesson Outline:
1. Vector Representation
2. Graphical Method
3. Mathematical Method
4. Pythagorean Theorem
5. Component Method
Ch 5 integration
The document discusses integration and the definition of the definite integral. It provides 30 rules of integration involving trigonometric, logarithmic, exponential and other common functions. It also briefly discusses integration by substitution and defines the process of making a u-substitution to evaluate integrals that can be written in a particular form.
Scalars and Vectors Part 2
This document provides tips for taking online classes. It recommends that students be prepared before class starts, treat online classes like real classes, practice time management and create a dedicated study space. During class, students should open their camera, mute their audio when not speaking, and only take notes on materials provided by the instructor. They should actively participate by asking questions and sharing after getting permission. Overall, students need to be disciplined when taking online courses.
P2-Chp12-Vectors.pptx
This document provides an overview of vectors in 3 dimensions. It discusses finding the distance between points using Pythagoras' theorem, writing vectors in i, j, k notation, finding the magnitude of a vector, and finding the angle between a vector and the coordinate axes. It also provides examples of using vectors to solve geometric problems by drawing diagrams and comparing coefficients of vectors. The exercises involve finding distances, directions of vectors, parallel vectors, and using vector operations to find missing points to form geometric shapes like parallelograms.
CH2.pdf
The document discusses measures of central tendency and summarization of data. It defines measures of central tendency as single values that describe the overall level of a data set and represent the center of the distribution. The most common measures are the mean, median, and mode. It provides formulas for calculating the arithmetic mean for samples and populations. It also introduces summation notation as a shorthand for writing sums and discusses properties of summation. Examples are provided to demonstrate calculating the mean for raw data, ungrouped data, and grouped data. The document also discusses calculating a combined mean for multiple data sets.
Ch2
The document discusses measures of central tendency and summarization of data. It defines measures of central tendency as single values that describe the overall level of a data set and represent the center of the distribution. The most common measures are the mean, median, and mode. It provides formulas for calculating the arithmetic mean for samples and populations. It also introduces summation notation as a shorthand for writing sums and discusses properties of summation. Examples are provided to demonstrate calculating the mean for raw data, ungrouped data, and grouped data. The document also discusses calculating a combined mean for multiple data sets.
Vibration Reduction on Beams Subjected to Moving Loads by Linear and Nonlinea...
Everything about Vibration Reduction on Beams Subjected to Moving Loads by Linear and Nonlinear Vibration Absorbers
Least Square Plane and Leastsquare Quadric Surface Approximation by Using Mod...
Now a days Surface fitting is applied all engineering and medical fields. Kamron Saniee ,2007 find a simple expression for multivariate LaGrange’s Interpolation. We derive a least square plane and least square quadric surface Approximation from a given N+1 tabular points when the function is unique. We used least square method technique. We can apply this method in surface fitting also.
Lesson 3: Problem Set 4
1. The document discusses vector calculus concepts including the dot product, cross product, gradient, divergence, and curl of vectors. It provides examples and explanations of how to calculate these quantities.
2. The dot product yields a scalar quantity and is used to calculate the angle between two vectors. The cross product yields a vector that is perpendicular to the plane of the two input vectors.
3. The gradient is the vector of partial derivatives of a scalar function and points in the direction of maximum increase. The divergence and curl are used to describe vector fields and involve taking partial derivatives.
Opt Assgnment #-1 PPTX.pptx
The document summarizes the Fibonacci and golden section methods for numerical optimization of functions with no explicit constraints. The Fibonacci method uses the Fibonacci sequence to iteratively place experiments and narrow the interval containing the minimum. The golden section method similarly places experiments based on the golden ratio at each iteration. Both methods reduce the uncertainty interval at each step until a tolerance is reached. The document provides equations for calculating experiment placements and uncertainty intervals for each method.
Physics Notes: Solved numerical of Physics first year
1. The document is a physics textbook covering solved numerical problems for the Sindh Textbook Board.
2. It was written by Dr. Ram Chand Raguel and covers topics like scalars and vectors, motion, statics, gravitation, and optics.
3. The author has visited research institutions in the US, Malaysia, Italy, and China and is a member of the American Association of Physics Teachers.
Gcse Maths Resources
The document discusses function notation and transformations of functions. It provides examples of writing quadratic, cubic, and rational functions in function notation. It also demonstrates how functions are translated vertically by adding or subtracting a number from the original function. Translating a function f(x) by a results in the new function f(x)+a or f(x)-a.
B.tech ii unit-4 material vector differentiation
This document discusses concepts in vector differentiation including:
1. It defines scalar and vector point functions, with examples such as temperature and fluid velocity.
2. It introduces the vector differential operator del (∇) and defines the gradient of a scalar function.
3. It explains normal and directional derivatives, and gives examples of finding the gradient and directional derivative of functions.
4. It defines the divergence of a vector function and gives examples of applying vector differentiation concepts.
Similar to Scalars and Vectors Part 3 (20)
4. Integral Calculus for gcse and other exams.pptx
4. Integral Calculus for gcse and other exams.pptx
Vibration Reduction on Beams Subjected to Moving Loads by Linear and Nonlinea...
Vibration Reduction on Beams Subjected to Moving Loads by Linear and Nonlinea...
Least Square Plane and Leastsquare Quadric Surface Approximation by Using Mod...
Least Square Plane and Leastsquare Quadric Surface Approximation by Using Mod...
Physics Notes: Solved numerical of Physics first year
Physics Notes: Solved numerical of Physics first year
More from UdayKhanal
Thermoelectric Effect
This document discusses the thermoelectric effect and its three main phenomena: Seebeck effect, Peltier effect, and Thomson effect.
1. Seebeck effect is the conversion of heat energy into electrical energy via a temperature difference across two dissimilar metals. It produces a thermoelectric current.
2. Peltier effect is the converse of Seebeck effect - it involves the absorption or production of heat when an electric current passes through the junction of two different conductors.
3. Thomson effect refers to the absorption or production of heat when an electric current passes through a single, unequally heated conductor.
The key relationships between these effects are also summarized, including how Seebeck effect results
Geomagnetism
1. The document provides tips for taking online classes successfully, including being prepared before class, treating it like a real course, practicing time management, creating a dedicated study space, and eliminating distractions.
2. During class, it recommends opening your camera, muting audio when not speaking, and only taking notes or sharing after getting permission from the instructor.
3. Students are advised to actively participate, ask questions, and leverage their network to get the most out of online learning.
Alternating Current AC
1. Tips are provided for taking online classes effectively, including being prepared, treating it like a real course, practicing time management, and eliminating distractions.
2. Inside the class, students are advised to open their camera, mute audio when not speaking, and ask permission before adding notes or sharing.
3. Discipline is important for online students.
Scalars and Vectors Part 5
The document provides tips for taking online classes effectively. It recommends being prepared before class starts, treating the online course seriously, holding oneself accountable, practicing time management, creating a dedicated study space, eliminating distractions, figuring out how you learn best, actively participating, and leveraging your network. It also lists tips for inside the online class, such as opening your camera, muting audio when not speaking, taking notes on paper rather than the screen, asking permission before sharing, and being disciplined.
Scalars and Vectors Part 1
This document provides tips for taking online classes and guidelines for participating in online class sessions. It recommends being prepared before class starts, treating the online course seriously, being accountable, managing your time well, having a dedicated study space, eliminating distractions, figuring out how you learn best, actively participating, and leveraging your network. During class sessions, it advises opening your camera, muting your audio when not speaking, having necessary materials ready, not writing on the shared screen, asking permission before sharing, and being disciplined.
Physical Quantities Part 3
Tips are provided for taking online classes effectively and participating successfully. Students should be prepared before class starts, treat the online course seriously as they would an in-person course, and hold themselves accountable by managing their time well and creating a dedicated study space free of distractions. During class, students should open their camera, mute their audio when not speaking, and only take notes or share after getting permission from the instructor. Leaving feedback after class can help the instructor improve for future sessions.
Physical Quantities Part 2
This document provides tips for taking online classes effectively. It recommends being prepared before class starts, treating the online course seriously, holding oneself accountable, practicing time management, creating a dedicated study space, eliminating distractions, figuring out how you learn best, actively participating, and leveraging your network. During class, it advises opening your camera, muting audio when not speaking, being prepared with materials, not writing on the shared screen, asking permission before sharing, and being disciplined.
Physical Quantities Part 1
This document provides tips for taking online classes, including being prepared before class, treating it like a real course, practicing time management, creating a dedicated study space, eliminating distractions, figuring out your preferred learning style, actively participating, and leveraging your network. It also gives instructions for inside the class, such as opening your camera, muting audio, taking notes on paper instead of the screen, asking permission before sharing, and being disciplined.
Projectile
This document provides tips and guidelines for taking online classes. It recommends being prepared before class starts, treating online courses seriously, holding oneself accountable, practicing time management, creating a dedicated study space, eliminating distractions, figuring out how one learns best, and actively participating. During class, it advises opening one's camera, muting audio when not speaking, taking notes by hand rather than on the screen, and only asking or sharing after getting permission. The document also contains information on projectile motion, including definitions, equations of motion, maximum height, time of flight, range, and examples of horizontal and oblique projection.
Vertical Straight Line Motion
This document provides tips for taking online classes. It recommends that students be prepared before class starts, treat the online course seriously, hold themselves accountable, practice time management, create a dedicated study space, eliminate distractions, figure out how they learn best, and actively participate. During class, it advises students to turn on their cameras, mute audio when not speaking, take notes by hand rather than on their screens, ask questions after getting permission, and be disciplined.
Horizontal Straight Line Motion
The document provides tips for taking online classes. It recommends being prepared before class starts, treating the online course seriously, being accountable, practicing time management, creating a dedicated study space, eliminating distractions, figuring out your best learning style, actively participating, and leveraging your network. It also gives tips for inside the online class, such as opening your camera, muting audio when not speaking, and asking permission before sharing notes or writing on the screen. The overall message is about being disciplined when taking online courses.
Relative Velocity by UK Physics
The document discusses relative velocity between two moving bodies. It defines relative velocity as the velocity of one body as seen from another body in motion. The relative velocity of body A with respect to body B is given by VA - VB, where VA and VB are the velocities of bodies A and B, respectively. The document provides examples of calculating relative velocity in one and two dimensions. It also discusses problems related to crossing a river and calculating velocity for different scenarios. Homework questions involving calculating relative velocities in various situations are provided at different levels.
More from UdayKhanal (12)
Recently uploaded
বাংলাদেশ অর্থনৈতিক সমীক্ষা (Economic Review) ২০২৪ UJS App.pdf
বাংলাদেশের অর্থনৈতিক সমীক্ষা ২০২৪ [Bangladesh Economic Review 2024 Bangla.pdf] কম্পিউটার , ট্যাব ও স্মার্ট ফোন ভার্সন সহ সম্পূর্ণ বাংলা ই-বুক বা pdf বই " সুচিপত্র ...বুকমার্ক মেনু 🔖 ও হাইপার লিংক মেনু 📝👆 যুক্ত ..
আমাদের সবার জন্য খুব খুব গুরুত্বপূর্ণ একটি বই ..বিসিএস, ব্যাংক, ইউনিভার্সিটি ভর্তি ও যে কোন প্রতিযোগিতা মূলক পরীক্ষার জন্য এর খুব ইম্পরট্যান্ট একটি বিষয় ...তাছাড়া বাংলাদেশের সাম্প্রতিক যে কোন ডাটা বা তথ্য এই বইতে পাবেন ...
তাই একজন নাগরিক হিসাবে এই তথ্য গুলো আপনার জানা প্রয়োজন ...।
বিসিএস ও ব্যাংক এর লিখিত পরীক্ষা ...+এছাড়া মাধ্যমিক ও উচ্চমাধ্যমিকের স্টুডেন্টদের জন্য অনেক কাজে আসবে ...
DRUGS AND ITS classification slide share
Any substance (other than food) that is used to prevent, diagnose, treat, or relieve symptoms of a
disease or abnormal condition
How to Build a Module in Odoo 17 Using the Scaffold Method
Odoo provides an option for creating a module by using a single line command. By using this command the user can make a whole structure of a module. It is very easy for a beginner to make a module. There is no need to make each file manually. This slide will show how to create a module using the scaffold method.
How to Fix the Import Error in the Odoo 17
An import error occurs when a program fails to import a module or library, disrupting its execution. In languages like Python, this issue arises when the specified module cannot be found or accessed, hindering the program's functionality. Resolving import errors is crucial for maintaining smooth software operation and uninterrupted development processes.
CACJapan - GROUP Presentation 1- Wk 4.pdf
Macroeconomics- Movie Location
This will be used as part of your Personal Professional Portfolio once graded.
Objective:
Prepare a presentation or a paper using research, basic comparative analysis, data organization and application of economic information. You will make an informed assessment of an economic climate outside of the United States to accomplish an entertainment industry objective.
A Survey of Techniques for Maximizing LLM Performance.pptx
A Survey of Techniques for Maximizing LLM Performance
clinical examination of hip joint (1).pdf
described clinical examination all orthopeadic conditions .
Advanced Java[Extra Concepts, Not Difficult].docx
This is part 2 of my Java Learning Journey. This contains Hashing, ArrayList, LinkedList, Date and Time Classes, Calendar Class and more.
PCOS corelations and management through Ayurveda.
This presentation includes basic of PCOS their pathology and treatment and also Ayurveda correlation of PCOS and Ayurvedic line of treatment mentioned in classics.
Digital Artifact 1 - 10VCD Environments Unit
Digital Artifact 1 - 10VCD Environments Unit - NGV Pavilion Concept Design
Natural birth techniques - Mrs.Akanksha Trivedi Rama University
Natural birth techniques - Mrs.Akanksha Trivedi Rama UniversityAkanksha trivedi rama nursing college kanpur.
Natural birth techniques are various type such as/ water birth , alexender method, hypnosis, bradley method, lamaze method etcHindi varnamala | hindi alphabet PPT.pdf
हिंदी वर्णमाला पीपीटी, hindi alphabet PPT presentation, hindi varnamala PPT, Hindi Varnamala pdf, हिंदी स्वर, हिंदी व्यंजन, sikhiye hindi varnmala, dr. mulla adam ali, hindi language and literature, hindi alphabet with drawing, hindi alphabet pdf, hindi varnamala for childrens, hindi language, hindi varnamala practice for kids, https://www.drmullaadamali.com
Recently uploaded (20)
বাংলাদেশ অর্থনৈতিক সমীক্ষা (Economic Review) ২০২৪ UJS App.pdf
বাংলাদেশ অর্থনৈতিক সমীক্ষা (Economic Review) ২০২৪ UJS App.pdf
Liberal Approach to the Study of Indian Politics.pdf
Liberal Approach to the Study of Indian Politics.pdf
How to Build a Module in Odoo 17 Using the Scaffold Method
How to Build a Module in Odoo 17 Using the Scaffold Method
A Survey of Techniques for Maximizing LLM Performance.pptx
A Survey of Techniques for Maximizing LLM Performance.pptx
Film vocab for eal 3 students: Australia the movie
Film vocab for eal 3 students: Australia the movie
Natural birth techniques - Mrs.Akanksha Trivedi Rama University
Natural birth techniques - Mrs.Akanksha Trivedi Rama University
Scalars and Vectors Part 3
- 1. TIPS FOR TAKING ONLINE CLASS FOR YOURSELF 1: Be ready before the starting time 2: Treat an online course like a real course 3: Hold yourself accountable 4: Practice time management 5: Create a regular study space and stay organized 6: Eliminate distractions 7: Figure out how you learn best 8: Actively participate 9: Leverage your network INSIDE THE CLASS 1: Open your camera 2: Mute your audio 3: take your pen, copy and other material sources 3: Don’t add your note on the screen 4: Do ask, write and share after the permission. It will be provided at the end of the class 5: Be more disciplined. 1
- 2. This is a REGULAR CLASS. Please make a note by writing down what you have seen here. Make a separate note for CURRENT ELECTRICITY.
- 3. UDAY KHANAL Department of Physics CCRC 3
- 4. Resolution of vectors It is the process of splitting of a vector into two or more vectors. The vectors thus obtained are called components.
- 5. Rectangular resolutions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . P Q R O 𝜃 𝐴 Value of Ax and Ay 𝑖𝑛 ∆ OPQ 𝑐𝑜𝑠𝜃 = 𝑂𝑄 𝑂𝑃 = 𝐴𝑥 𝐴 → 𝐴𝑥 = 𝐴𝑐𝑜𝑠𝜃 In rectangular resolution two components must be perpendicular. The component on which angle is formed is termed as cos component 𝑎𝑛𝑑, 𝑠𝑖𝑛𝜃 = 𝑃𝑄 𝑂𝑃 = 𝐴𝑦 𝐴 → 𝐴𝑦 = 𝐴𝑠𝑖𝑛𝜃 From the side of the triangle law; 𝑂𝑃 = 𝑂𝑄+ 𝑄𝑃 𝑜𝑟, 𝐴 = 𝐴𝑥 + 𝐴𝑦 = 𝑖𝐴𝑥 + 𝐽𝐴𝑦 Thus given vector = sum of components From the side of magnitude; A = 𝐴𝑥 2 + 𝐴𝑦2 + 2𝐴𝑥𝐴𝑦𝑐𝑜𝑠90° = 𝐴𝑥 2 + 𝐴𝑦2 ∴ 𝑀𝑎𝑔𝑛𝑖𝑡𝑢𝑑𝑒 𝑐𝑎𝑛 𝑏𝑒 𝑜𝑏𝑡𝑎𝑖𝑛𝑒𝑑 𝑓𝑟𝑜𝑚 𝑃𝑦𝑡ℎ𝑎𝑔𝑜𝑟𝑜𝑢𝑠 𝑡ℎ𝑒𝑜𝑟𝑒𝑚 From the side of Direction; 𝑡𝑎𝑛𝜃 = 𝐴𝑦 𝐴𝑥 In the component notation, 𝑨 = { 𝐴𝑥 2 + 𝐴𝑦2 , 𝐴𝑦 𝐴𝑥 } Magnitude Direction Vector 𝐴𝑥 = 𝑖𝐴𝑥 𝐴 𝑦 = 𝐽𝐴 𝑦 x y X-Component Y-Component
- 6. In 3 Dimension: 𝐴 = 𝐴𝑥 + 𝐴𝑦+ 𝐴𝑧 = 𝑖𝐴𝑥 + 𝐽𝐴𝑦+ 𝑘𝐴𝑧 𝐴 = { 𝐴𝑥 2 + 𝐴𝑦 2 + 𝐴𝑧2 , 𝑡𝑎𝑛𝜃 = 𝐴𝑦 𝐴𝑥 } Magnitude Direction
- 7. Then 𝑎 + 𝑏 + 𝑐 = 𝑎𝑥 + 𝑏𝑥 + 𝑐𝑥 𝑖 + 𝑎𝑦 + 𝑏𝑦 + 𝑐𝑦 𝑗 + 𝑎𝑧 + 𝑏𝑧 + 𝑐𝑧 𝑘 And If, 𝑎 = 𝑎𝑥 𝑖 + 𝑎𝑦𝑗 + 𝑎𝑧𝑘 , 𝑏 = 𝑏𝑥 𝑖 + 𝑏𝑦𝑗 + 𝑏𝑧𝑘 𝑐 = 𝑐𝑥 𝑖 + 𝑐𝑦𝑗 + 𝑐𝑧𝑘 Note
- 8. 𝜃 𝜃 𝜃 𝜃 𝜃 𝜃 𝜃 𝜃 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . A A A A A A A A 𝐴𝑠𝑖𝑛𝜃 −𝐴𝑐𝑜𝑠𝜃 𝐴𝑠𝑖𝑛𝜃 𝐴𝑐𝑜𝑠𝜃 𝐴𝑐𝑜𝑠𝜃 𝐴𝑠𝑖𝑛𝜃 𝐴𝑠𝑖𝑛𝜃 𝐴𝑐𝑜𝑠𝜃 −𝐴𝑠𝑖𝑛𝜃 −𝐴𝑠𝑖𝑛𝜃 −𝐴𝑐𝑜𝑠𝜃 −𝐴𝑠𝑖𝑛𝜃 −𝐴𝑐𝑜𝑠𝜃 𝐴𝑐𝑜𝑠𝜃 −𝐴𝑠𝑖𝑛𝜃 −𝐴𝑐𝑜𝑠𝜃 30° −𝑨𝒄𝒐𝒔𝟑𝟎° 𝒐𝒓, −𝑨𝒔𝒊𝒏𝟔𝟎° 𝒐𝒓, 𝑨𝒄𝒐𝒔𝟏𝟓𝟎° A x x x x x x x x y y y y y y y y y x Some Practices on Rectangular Components
- 11. 𝒐𝒓, −𝑶𝑪 𝒄𝒐𝒔𝟒𝟓°
- 16. Alternatively 𝛼 = tan _1 𝐵𝑠𝑖𝑛90° 𝐴 + 𝐵𝑐𝑜𝑠90°
- 18. Three Forces of magnitude 2N, 3N, and 4N act in a plane at a point. The angle between any two of their direction being 120°. Find the magnitude and direction of their resultant. 2N 3N 4N 60° x y 60° 𝑅 𝜃 Work Out Hints 𝑅𝑥 =. . . . . . 𝑅𝑦 =. . . . . . . . . . 𝑅 = 𝑅𝑥 2 + 𝑅𝑦2 . . . . . . . . . 𝜃 = tan _1 𝑅𝑦 𝑅𝑥 .. . . . . . . . .
- 19. 10N 5N 15N 30° x y 45° 60° Work Out Hints 𝑅𝑥 =. . . . . . 𝑅𝑦 =. . . . . . . . . . 𝑅 = 𝑅𝑥 2 + 𝑅𝑦2 . . . . . . . . . 𝜃 = tan _1 𝑅𝑦 𝑅𝑥 .. . . . . . . . . y 2 m 3 m 5 m 27° x
- 20. The essence of SCIENCE: ask an impertinent question, and you are on the way to a pertinent answer.
- 21. DID YOU ENJOYE THE CLASS? Leave your valuable suggestions so that I will be better for you all in the next class. Your suggestions are highly appreciated. NO? Yes?