M153 Lecture 1.2 BT
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The document outlines the agenda for a class which includes taking attendance, answering questions, reviewing homework, covering section 1.2 on properties of exponents, discussing monomials and the anatomy of a polynomial, adding and subtracting polynomials, multiplying polynomials, applications involving area and perimeter, assigning classwork and homework problems, and announcing a quiz for the next class.
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This document provides an agenda for a College Math and Statistics class that meets on Mondays and Wednesdays from 8:30-10:20 AM in room E318, taught by Brad Thompson. The agenda includes reviewing the syllabus, course information, class procedures, and homework assignments. It also outlines topics to be covered for sections 1.1 through 1.3, including simplifying and evaluating expressions, properties of exponents, and inequality notation. An exam on Chapter 1 will take place the following Monday and covers sections 1.1 through 1.7.
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The document outlines an agenda for a class that includes:
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- Examples of basic graphs of polynomials of degrees 3 and 4
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- A strategy for graphing polynomials that involves determining the degree, finding x-intercepts, y-intercepts, end behavior, and additional points to plot and sketch the graph
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The document outlines an agenda for a class that includes attendance, questions from a previous class, sections 7.3, and exam schedules. It then provides information on applications of linear programming including assigning variables, using tables to organize information, writing constraints as inequalities, finding the objective function, and optimizing over the feasible region. Several examples of constraints and an objective function for a word problem about goats and pigs are given. The classwork/homework assignment is problems 1-11 odd on page 409.
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This document provides an agenda for a College Math and Statistics class that meets on Mondays and Wednesdays from 8:30-10:20 AM in room E318, taught by Brad Thompson. The agenda includes reviewing the syllabus, course information, class procedures, and homework assignments. It also outlines topics to be covered for sections 1.1 through 1.3, including simplifying and evaluating expressions, properties of exponents, and inequality notation. An exam on Chapter 1 will take place the following Monday and covers sections 1.1 through 1.7.
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- The document outlines the agenda for today's class which includes announcements, projects due, and an upcoming quiz. The class will cover sections 3.1 and 3.2 on functions.
- It defines what a function is and provides examples. A function assigns each input to exactly one output. It discusses function notation and evaluating functions.
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Today's math class agenda includes:
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Brad Thompson discusses the potential benefits and realistic applications of digital textbooks. Some key benefits mentioned include lower production costs, easy collaboration across departments, and the ability to customize content. Thompson notes that digital textbooks do not need to be full-sized like traditional books. Several states have passed legislation promoting the adoption of digital textbooks in order to reduce costs for students. Thompson suggests some potential realistic applications at DTCC could include digital lab manuals, learning communities, and instructors publishing their own textbooks. The article closes with a brief introduction to iBook Author.
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- How the graph of a function's derivative f' relates to the graph of the original function f - where f' is positive/negative/zero corresponds to parts of f that are increasing/decreasing/at an extremum.
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Students should learn both carpentry and statistics, as carpentry teaches practical skills like using tools and building things while statistics helps students collect and analyze data to answer important questions. A carpentry class focuses on teaching how to use tools and materials to construct projects, whereas a statistics class focuses on teaching students how to gather and make sense of numerical data to solve problems. Both skills are useful for students to learn.
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2) The derivative of a function f(x) is defined as the limit of the difference quotient as Δx approaches 0. This limit used to define the slope of a tangent line also defines the fundamental operation of differentiation in calculus.
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The document defines the derivative of a function and discusses:
- The definition of the derivative as the limit of the slope between two points as they approach each other.
- Notation used to represent derivatives, including f'(x), dy/dx, and df/dx.
- How the graph of a function's derivative f' relates to the graph of the original function f - where f' is positive/negative/zero corresponds to parts of f that are increasing/decreasing/at an extremum.
- How to graph f given a graph of its derivative f' by sketching the curve that matches the behavior of f' at each point.
- One-sided derivatives at endpoints of functions defined
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Students should learn both carpentry and statistics, as carpentry teaches practical skills like using tools and building things while statistics helps students collect and analyze data to answer important questions. A carpentry class focuses on teaching how to use tools and materials to construct projects, whereas a statistics class focuses on teaching students how to gather and make sense of numerical data to solve problems. Both subjects provide valuable skills, but statistics ensures students can use real-world data to find meaningful answers.
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Students should learn both carpentry and statistics, as carpentry teaches practical skills like building and construction while statistics allows students to collect and analyze data to answer important questions. A carpentry class focuses on using tools and techniques for woodworking and construction projects, whereas a statistics class emphasizes using numerical and quantitative analysis to study patterns in data and real-world problems. Both subjects provide valuable skills, but statistics equips students to gather and interpret information to find meaningful answers.
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Students should learn both carpentry and statistics, as carpentry teaches practical skills like using tools and building things while statistics helps students collect and analyze data to answer important questions. A carpentry class focuses on teaching how to use tools and materials to construct projects, whereas a statistics class focuses on teaching students how to gather and make sense of numerical data to solve problems. Both skills are useful for students to learn.
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This document provides an overview of modern geometry concepts covered in Section 7.3, including constructing tangents and secants to circles, properties of inscribed and circumscribed angles, and constructing circles given triangles or vice versa. Key topics are constructing tangents from external points, properties of intersecting secants and secant-tangent intersections, and summarizing circle properties. Homework problems are assigned from pages 369, 378, and 392 of the textbook.
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The document outlines the agenda for today's class, which includes turning in a take home quiz, discussing questions from Friday, and covering sections 7.3. It also lists the exam schedule. The rest of the document provides instructions on applying linear programming, including assigning variables, writing constraints as inequalities, finding the objective function, and optimizing over the feasible region. Examples are given to translate a word problem into the constraints and objective function of a linear programming problem.
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The document discusses modern geometry and includes announcements about upcoming exams and teaching presentations. It covers topics like inscribed angles, the star trek lemma, inscribed semicircles, problem solving, and finding the area of a circle segment. Students are assigned problems from the textbook on these topics for homework.
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This document provides an overview of key concepts in modern geometry covered in sections 7.1 and 7.2, including:
- Angle and arc notation for circles
- Properties of circles like needing three points to identify a circle
- Measuring arc length and finding the area of sectors of circles
- Theorems about intersecting chords in a circle and relationships between inscribed and central angles
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This document contains an agenda for a class that includes attendance, questions from previous sections, a quiz, and material from sections 7.1 and 7.2. It also lists the exam schedule. Several examples are provided on graphing systems of inequalities and finding feasible regions. Linear programming is introduced as a way to maximize or minimize objective functions subject to constraints. Examples are worked through to find the minimum and maximum values of objective functions over feasible regions defined by constraint inequalities. Students are assigned related practice problems from their textbook.
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The document appears to be a class agenda that includes the following:
- Covering section 4.4 in class
- No MML homework this week
- Project 3 is due Monday March 23rd
- Exam 4 on chapter 4 will be on Wednesday March 18th
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This document contains notes from a geometry class covering sections 6.4 and 6.5 on trigonometric ratios, the unit circle, solving right triangles, laws of sines and cosines, and solving oblique triangles. It includes announcements about an upcoming exam, examples of solving right triangles using trigonometric ratios, formulas for area of triangles, and homework problems assigned from the sections.
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This document discusses geometry topics including proving triangles similar using AAA, SAS, and SSS similarity postulates, volume formulas for conic frustums, properties of inscribed right triangles, mean proportions, indirect measurement techniques, and the midsegment and side splitter theorems. It also announces an upcoming exam and homework assignments covering sections 6.2 and 6.3 that are due on Tuesday.
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This document discusses various topics in modern geometry including:
- Ratios and proportions, and methods for verifying and solving proportions.
- Geometric mean and finding the geometric mean of two numbers.
- The extreme and mean ratio, and constructions for drawing a point B given the ratio of AB to AC.
- Fibonacci numbers and the ratio of successive numbers.
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The document outlines an agenda that includes:
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M153 Lecture 1.2 BT
- 1. Today’s Agenda • Attendance (missed yesterday?) • Questions on Admin/Course? • Review HW • Section 1.2
- 6. Monomials
- 7. Anatomy of a Polynomial coefficient 423 2 xx Degree = highest exponent variable constant term
- 9. Adding and Subtracting Polynomials We can only add/subtract “Like Terms”! Like Terms Not Like Terms
- 10. Adding and Subtracting Polynomials
- 11. Adding and Subtracting Polynomials
- 12. Multiplying Polynomials Use the Properties of exponents and the Distributive Property
- 18. Applications (Area / Perimeter)
- 21. Classwork / Homework •Page 19 7 – 39 odd •Read Section 1.3 •Quiz Tomorrow