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modeling
Modeling in math can refer to using math concepts to describe real-world phenomena, such as using equations or diagrams to represent real situations. It can also mean taking a math problem and translating it into a real-world scenario using tools, pictures, or physical demonstrations to solve it. Modeling connects math to the real world and is emphasized in both traditional math classes and applied math courses.
Tale of two boxes
The narrator has come to the end of an ancient trap-filled cave system in search of a lost artifact. They are presented with two boxes, one labeled A and one labeled B, each with a sign making a claim. Either both signs are true or both are false. One box contains the artifact and the other will trigger a deadly boulder if opened. The signs say that at least one box contains the artifact, and opening box A will cause a boulder to fall.
161 course information spring 2016
This document provides information about the MATH 161 Introduction to Statistics course offered in Spring 2016. It outlines the course sections, times, locations, instructor contact information, course content and objectives, student responsibilities, evaluation criteria including assignments, projects, exams and grading scale, key dates, policies on academic integrity and students with disabilities. The goal of the course is to provide students with a general statistical background to understand probabilities and statistics reported in media and research.
Summer 2014 moseley 098 syllabus addendum
This document provides the syllabus addendum for an Elementary Algebra course. It outlines the course details including schedule, location, office hours, and instructor contact information. It describes the university mission statement, catalog description, purpose and objectives of the course. It outlines the student responsibilities and the evaluation criteria including exams, grading scale, attendance policy, and academic integrity policy. It also notes services available for students with disabilities.
2.1 homework
This document contains 10 multiple choice questions about finding the equation of lines given characteristics like two points on the line, a point and slope, or a point and being parallel or perpendicular to another line. The questions ask the learner to determine the equation for lines matching each given description.
2.6 homework
This document contains homework problems involving algebraic expressions and functions. Problem 1 asks to evaluate expressions involving square roots. Problem 2 asks to identify the meaning of an equality involving a function. Problems 3-5 ask to evaluate and simplify expressions involving square roots and composite functions. Problem 6 asks to find two functions whose composition is a given function.
2.2 homework b
This document contains 10 math and functions questions: questions 1-5 ask to find values of x for which certain equations are true, questions 6 asks to identify which sentence correctly describes functions, and questions 7-10 ask to find values of expressions given values of variables.
2.2 homework a
This document contains 10 multiple choice and short answer questions that assess understanding of functions and function notation. Questions 1 and 2 ask students to identify which charts and ordered pairs represent functions. Questions 3-7 require students to evaluate specific functions for given input values. Questions 8-10 deal with piecewise functions, asking students to evaluate expressions and find output values.
Recommended
modeling
Modeling in math can refer to using math concepts to describe real-world phenomena, such as using equations or diagrams to represent real situations. It can also mean taking a math problem and translating it into a real-world scenario using tools, pictures, or physical demonstrations to solve it. Modeling connects math to the real world and is emphasized in both traditional math classes and applied math courses.
Tale of two boxes
The narrator has come to the end of an ancient trap-filled cave system in search of a lost artifact. They are presented with two boxes, one labeled A and one labeled B, each with a sign making a claim. Either both signs are true or both are false. One box contains the artifact and the other will trigger a deadly boulder if opened. The signs say that at least one box contains the artifact, and opening box A will cause a boulder to fall.
161 course information spring 2016
This document provides information about the MATH 161 Introduction to Statistics course offered in Spring 2016. It outlines the course sections, times, locations, instructor contact information, course content and objectives, student responsibilities, evaluation criteria including assignments, projects, exams and grading scale, key dates, policies on academic integrity and students with disabilities. The goal of the course is to provide students with a general statistical background to understand probabilities and statistics reported in media and research.
Summer 2014 moseley 098 syllabus addendum
This document provides the syllabus addendum for an Elementary Algebra course. It outlines the course details including schedule, location, office hours, and instructor contact information. It describes the university mission statement, catalog description, purpose and objectives of the course. It outlines the student responsibilities and the evaluation criteria including exams, grading scale, attendance policy, and academic integrity policy. It also notes services available for students with disabilities.
2.1 homework
This document contains 10 multiple choice questions about finding the equation of lines given characteristics like two points on the line, a point and slope, or a point and being parallel or perpendicular to another line. The questions ask the learner to determine the equation for lines matching each given description.
2.6 homework
This document contains homework problems involving algebraic expressions and functions. Problem 1 asks to evaluate expressions involving square roots. Problem 2 asks to identify the meaning of an equality involving a function. Problems 3-5 ask to evaluate and simplify expressions involving square roots and composite functions. Problem 6 asks to find two functions whose composition is a given function.
2.2 homework b
This document contains 10 math and functions questions: questions 1-5 ask to find values of x for which certain equations are true, questions 6 asks to identify which sentence correctly describes functions, and questions 7-10 ask to find values of expressions given values of variables.
2.2 homework a
This document contains 10 multiple choice and short answer questions that assess understanding of functions and function notation. Questions 1 and 2 ask students to identify which charts and ordered pairs represent functions. Questions 3-7 require students to evaluate specific functions for given input values. Questions 8-10 deal with piecewise functions, asking students to evaluate expressions and find output values.
College algebra hw 1.4
This homework assignment contains 10 algebra problems to solve using different techniques: problems 1-4 involve factoring quadratic equations; problems 5-6 require extracting the square root of equations to find exact solutions; problems 7-8 involve finding the discriminant of equations to determine the number of real solutions; and problems 9-10 should be solved using the quadratic formula.
1.3 homework
This document contains 10 math homework problems from a College Algebra 1 class taught by Dr. Moseley. The problems include finding x-intercepts and y-intercepts of linear equations, writing expressions for distance and discounted prices, solving equations for unknown numbers, calculating original prices from sale prices, finding required test scores to get a grade average, calculating trip times with constant speed, and finding dimensions of a picture frame given its perimeter and a ratio of its width to height.
Math 111 College Algebra 1.2
Este documento contiene 10 problemas de álgebra de una tarea de matemáticas 111. Los problemas incluyen ecuaciones, funciones y expresiones algebraicas que deben resolverse.
P.5 homework a
El documento contiene la tarea de álgebra de la universidad con 19 problemas numéricos y una lista de letras mayúsculas como posibles respuestas. El profesor asignado es el Dr. Moseley para la clase de Matemáticas 111 de Álgebra Universitaria.
P.3 homework
This document contains a math homework assignment on polynomials and FOIL method. It includes definitions of polynomial terms, instructions to perform operations using FOIL, and word problems involving costs and revenues from producing MP3 players to calculate profit.
P 2 homework b
Este documento contiene un conjunto de ejercicios de álgebra sobre raíces cuadradas. Los estudiantes deben calcular valores de raíces cuadradas simples y compuestas, simplificar expresiones con raíces cuadradas, y convertir expresiones entre formas radical y exponencial. El documento proporciona valores numéricos y letras para ser usados en las respuestas de opción múltiple.
P.2 homework A
This document contains a math homework assignment with 38 problems involving exponents, radicals, and simplifying expressions. Students are asked to identify components of exponential and radical expressions, evaluate expressions, and simplify expressions using properties of exponents. They will rewrite expressions with positive exponents and find values of expressions for given variables.
P.1 hw
This document contains a list of 43 questions about concepts in college algebra including: 1) numbers with non-repeating decimal representations, 2) properties of real numbers and their representations on a number line, 3) classifying numbers as natural, whole, integer, rational, irrational or real, 4) evaluating algebraic expressions, and 5) finding distances between points on a number line. Students are instructed to submit their answers on Moodle by the specified due date.
Moseley schedule
Dr. Lauren "Jeneva" Moseley's fall 2013 schedule is available by viewing her Google calendar online at https://www.google.com/calendar/embed?src=jenevamoseley%40gmail.com&ctz=America/New_York. Her contact information includes her email address LMOSELEY@LeeUniversity.edu and phone number 423-614-8283.
Moseley m113 syllabus_summer2013
This document is a syllabus for a summer 2013 Math 113 course. It provides information about course details
such as meeting times and location, instructor contact information, course description and goals, required text,
grading scale, exam dates, attendance and make-up policies, academic honesty, and classroom expectations. The
course covers classical and modern topics in number theory, logic, geometry, and probability with an emphasis
on problem solving and real-world applications. Grades are based on 4 exams, projects, and a final exam.
Magic Money
Two friends had a meal that cost $25 total and each paid $15, but the cashier returned $5 in change to the waiter. The waiter kept $3 as a tip and returned $1 to each friend. While the friends paid $14 each, totaling $28, and the waiter received $3, this accounts for $31 of the original $25 bill, with $1 unaccounted for.
Which Road to Travel
A traveler comes to a fork in the road guarded by two figures, one who always lies and one who always tells the truth. The traveler can ask one guard one question to determine which path leads to paradise. By asking which path the other guard would claim leads to paradise, the traveler will be directed to the correct path regardless of whether they asked the truth-teller or liar.
We three sisters
Sarah always tells the truth, Sue always lies, and Sally sometimes lies and sometimes tells the truth. When Victor asked each sister a question to identify them, Sarah correctly identified herself as being on the left, Sally identified herself as being in the middle, and Sue identified the middle sister as herself, confusing Victor as to their identities.
Triple beer rings
A man makes three concentric beer rings on a bar by placing his glass down three times carefully. The bartender thinks the overlapping area of the three rings is less than one-fourth of the area of a single ring, but the customer claims it is more than one-fourth. They disagree on the proportion of overlapping area.
125 11.1
The document discusses various techniques for evaluating indefinite integrals (antiderivatives), including:
1) Using power rules to evaluate basic integrals like ∫ 4x3 dx = x4 + C
2) Expanding rational or negative exponents before integrating
3) Expanding expressions before integrating term by term
4) Simplifying rational expressions by factoring and canceling before integrating
5) Setting up word problems involving integrals to find related functions like total cost, revenue, distance over time.
125 7.7
This document discusses the chain rule for finding derivatives. It explains that the chain rule is needed when taking the derivative of a composition of functions, where an "inside function" is plugged into an "outside function". The chain rule formula is given as the derivative of the outside function multiplied by the derivative of the inside function. Several examples are worked through, applying the chain rule when the power rule alone cannot be used, such as when the base of an exponent is a function rather than a variable. The document also notes that problems may require using multiple derivative rules, like the product rule and chain rule, to fully solve them.
125 7.4
This document provides an overview of differentiation formulas and concepts, including:
1) The derivative of a constant is 0. The Power Rule states that when taking the derivative of f(x)=x^n, the power is brought down and the exponent is decreased by 1.
2) Evaluation of a derivative involves taking the derivative of a function and plugging in a value. The derivative f'(x) gives the slope of the tangent line to the function f(x) at that point.
3) Leibniz notation represents the derivative of a function f(x) with respect to x as df/dx. Derivatives are used in business and economics to find marginal cost, revenue
125 7.3 and 7.5
This document discusses key concepts related to rates of change and derivatives:
1) It defines average rate of change (ARC) as the slope of a secant line on a graph or using the slope formula algebraically, and instantaneous rate of change (IRC) as the slope of the tangent line.
2) It introduces the difference quotient as a way to define ARC and IRC algebraically without a graph by taking the limit as h approaches 0.
3) A derivative is defined as a function that gives the IRC, allowing it to be evaluated at any point without graphing by taking the limit of the difference quotient.
125 7.1 and 7.2
This document is a syllabus for a basic calculus course offered in the spring of 2013. It provides information on course sections and meeting times, the instructor and their contact information, required materials, grading policies, exam dates, and other course policies. Key details include: the course meets on Wednesdays and Fridays from 10:10-11am in AMB 210 with additional weekly recitation sections; grades are based on 4 exams, a final exam, and other assignments; and important dates include exam dates and deadlines for adding/dropping the course.
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College algebra hw 1.4
This homework assignment contains 10 algebra problems to solve using different techniques: problems 1-4 involve factoring quadratic equations; problems 5-6 require extracting the square root of equations to find exact solutions; problems 7-8 involve finding the discriminant of equations to determine the number of real solutions; and problems 9-10 should be solved using the quadratic formula.
1.3 homework
This document contains 10 math homework problems from a College Algebra 1 class taught by Dr. Moseley. The problems include finding x-intercepts and y-intercepts of linear equations, writing expressions for distance and discounted prices, solving equations for unknown numbers, calculating original prices from sale prices, finding required test scores to get a grade average, calculating trip times with constant speed, and finding dimensions of a picture frame given its perimeter and a ratio of its width to height.
Math 111 College Algebra 1.2
Este documento contiene 10 problemas de álgebra de una tarea de matemáticas 111. Los problemas incluyen ecuaciones, funciones y expresiones algebraicas que deben resolverse.
P.5 homework a
El documento contiene la tarea de álgebra de la universidad con 19 problemas numéricos y una lista de letras mayúsculas como posibles respuestas. El profesor asignado es el Dr. Moseley para la clase de Matemáticas 111 de Álgebra Universitaria.
P.3 homework
This document contains a math homework assignment on polynomials and FOIL method. It includes definitions of polynomial terms, instructions to perform operations using FOIL, and word problems involving costs and revenues from producing MP3 players to calculate profit.
P 2 homework b
Este documento contiene un conjunto de ejercicios de álgebra sobre raíces cuadradas. Los estudiantes deben calcular valores de raíces cuadradas simples y compuestas, simplificar expresiones con raíces cuadradas, y convertir expresiones entre formas radical y exponencial. El documento proporciona valores numéricos y letras para ser usados en las respuestas de opción múltiple.
P.2 homework A
This document contains a math homework assignment with 38 problems involving exponents, radicals, and simplifying expressions. Students are asked to identify components of exponential and radical expressions, evaluate expressions, and simplify expressions using properties of exponents. They will rewrite expressions with positive exponents and find values of expressions for given variables.
P.1 hw
This document contains a list of 43 questions about concepts in college algebra including: 1) numbers with non-repeating decimal representations, 2) properties of real numbers and their representations on a number line, 3) classifying numbers as natural, whole, integer, rational, irrational or real, 4) evaluating algebraic expressions, and 5) finding distances between points on a number line. Students are instructed to submit their answers on Moodle by the specified due date.
Moseley schedule
Dr. Lauren "Jeneva" Moseley's fall 2013 schedule is available by viewing her Google calendar online at https://www.google.com/calendar/embed?src=jenevamoseley%40gmail.com&ctz=America/New_York. Her contact information includes her email address LMOSELEY@LeeUniversity.edu and phone number 423-614-8283.
Moseley m113 syllabus_summer2013
This document is a syllabus for a summer 2013 Math 113 course. It provides information about course details
such as meeting times and location, instructor contact information, course description and goals, required text,
grading scale, exam dates, attendance and make-up policies, academic honesty, and classroom expectations. The
course covers classical and modern topics in number theory, logic, geometry, and probability with an emphasis
on problem solving and real-world applications. Grades are based on 4 exams, projects, and a final exam.
Magic Money
Two friends had a meal that cost $25 total and each paid $15, but the cashier returned $5 in change to the waiter. The waiter kept $3 as a tip and returned $1 to each friend. While the friends paid $14 each, totaling $28, and the waiter received $3, this accounts for $31 of the original $25 bill, with $1 unaccounted for.
Which Road to Travel
A traveler comes to a fork in the road guarded by two figures, one who always lies and one who always tells the truth. The traveler can ask one guard one question to determine which path leads to paradise. By asking which path the other guard would claim leads to paradise, the traveler will be directed to the correct path regardless of whether they asked the truth-teller or liar.
We three sisters
Sarah always tells the truth, Sue always lies, and Sally sometimes lies and sometimes tells the truth. When Victor asked each sister a question to identify them, Sarah correctly identified herself as being on the left, Sally identified herself as being in the middle, and Sue identified the middle sister as herself, confusing Victor as to their identities.
Triple beer rings
A man makes three concentric beer rings on a bar by placing his glass down three times carefully. The bartender thinks the overlapping area of the three rings is less than one-fourth of the area of a single ring, but the customer claims it is more than one-fourth. They disagree on the proportion of overlapping area.
125 11.1
The document discusses various techniques for evaluating indefinite integrals (antiderivatives), including:
1) Using power rules to evaluate basic integrals like ∫ 4x3 dx = x4 + C
2) Expanding rational or negative exponents before integrating
3) Expanding expressions before integrating term by term
4) Simplifying rational expressions by factoring and canceling before integrating
5) Setting up word problems involving integrals to find related functions like total cost, revenue, distance over time.
125 7.7
This document discusses the chain rule for finding derivatives. It explains that the chain rule is needed when taking the derivative of a composition of functions, where an "inside function" is plugged into an "outside function". The chain rule formula is given as the derivative of the outside function multiplied by the derivative of the inside function. Several examples are worked through, applying the chain rule when the power rule alone cannot be used, such as when the base of an exponent is a function rather than a variable. The document also notes that problems may require using multiple derivative rules, like the product rule and chain rule, to fully solve them.
125 7.4
This document provides an overview of differentiation formulas and concepts, including:
1) The derivative of a constant is 0. The Power Rule states that when taking the derivative of f(x)=x^n, the power is brought down and the exponent is decreased by 1.
2) Evaluation of a derivative involves taking the derivative of a function and plugging in a value. The derivative f'(x) gives the slope of the tangent line to the function f(x) at that point.
3) Leibniz notation represents the derivative of a function f(x) with respect to x as df/dx. Derivatives are used in business and economics to find marginal cost, revenue
125 7.3 and 7.5
This document discusses key concepts related to rates of change and derivatives:
1) It defines average rate of change (ARC) as the slope of a secant line on a graph or using the slope formula algebraically, and instantaneous rate of change (IRC) as the slope of the tangent line.
2) It introduces the difference quotient as a way to define ARC and IRC algebraically without a graph by taking the limit as h approaches 0.
3) A derivative is defined as a function that gives the IRC, allowing it to be evaluated at any point without graphing by taking the limit of the difference quotient.
125 7.1 and 7.2
This document is a syllabus for a basic calculus course offered in the spring of 2013. It provides information on course sections and meeting times, the instructor and their contact information, required materials, grading policies, exam dates, and other course policies. Key details include: the course meets on Wednesdays and Fridays from 10:10-11am in AMB 210 with additional weekly recitation sections; grades are based on 4 exams, a final exam, and other assignments; and important dates include exam dates and deadlines for adding/dropping the course.