6.5 notes p2 DeMoivres
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This document provides notes on using DeMoivre's Theorem to find complex numbers raised to a power and finding nth roots of complex numbers. It reviews trigonometric form, multiplying and dividing complex numbers, and introduces DeMoivre's Theorem. It includes examples of using the theorem to evaluate powers of complex numbers and find nth roots. Exercises are provided to find specific powers and nth roots of complex numbers.
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Pc 8.4 notes
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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.
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