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  • Precalculus
APEX PreCalculus
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This text was written as a prequel to the APEXCalculus series, a three–volume series on Calculus. This text is not intended to fully prepare students with all of the mathematical knowledge they need to tackle Calculus, rather it is designed to review mathematical concepts that are often stumbling blocks in the Calculus sequence. It starts basic and builds to more complex topics. This text is written so that each section and topic largely stands on its own, making it a good resource for students in Calculus who are struggling with the supporting mathemathics found in Calculus courses. The topics were chosen based on experience; several instructors in the Applied Mathemathics Department at the Virginia Military Institute (VMI) compiled a list of topics that Calculus students commonly struggle with, giving the focus of this text. This allows for a more focused approach; at first glance one of the obvious differences from a standard Pre-Calculus text is its size.

Subject:
Calculus
Material Type:
Textbook
Author:
Amy Givler Chapman
Jessica Libertini
Meagan Herald
Date Added:
06/28/2019
Essential Precalculus, Part 1
Conditions of Use:
No Strings Attached
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Precalculus is intended for college-level Precalculus students. Since Precalculus courses vary from one institution to the next, we have attempted to meet the needs of as broad an audience as possible, including all of the content that might be covered in any particular course. The result is a comprehensive book that covers more ground than an instructor could likely cover in a typical one- or two-semester course; but instructors should find, almost without fail, that the topics they wish to include in their syllabus are covered in the text. Many chapters of Openstax Precalculus are suitable for other freshman and sophomore math courses such as College Algebra and Trigonometry; however, instructors of those courses might need to supplement or adjust the material. Openstax will also be releasing a College Algebra and Trigonometry title tailored to the particular scope, sequence, and pedagogy of those courses.

Subject:
Calculus
Material Type:
Textbook
Provider:
Rice University
Provider Set:
OpenStax CNX
Author:
Douglas Hoffman
Date Added:
09/21/2016
Essential Precalculus, Part 2
Conditions of Use:
No Strings Attached
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Precalculus is intended for college-level Precalculus students. Since Precalculus courses vary from one institution to the next, we have attempted to meet the needs of as broad an audience as possible, including all of the content that might be covered in any particular course. The result is a comprehensive book that covers more ground than an instructor could likely cover in a typical one- or two-semester course; but instructors should find, almost without fail, that the topics they wish to include in their syllabus are covered in the text. Many chapters of Openstax Precalculus are suitable for other freshman and sophomore math courses such as College Algebra and Trigonometry; however, instructors of those courses might need to supplement or adjust the material. Openstax will also be releasing a College Algebra and Trigonometry title tailored to the particular scope, sequence, and pedagogy of those courses.

Subject:
Calculus
Material Type:
Textbook
Provider:
Rice University
Provider Set:
OpenStax CNX
Author:
Douglas Hoffman
Date Added:
09/21/2016
Math 1A/1B: Pre-Calculus
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This Pre-Calculus course is designed to prepare students for a calculus course. This course is taught so that students will acquire a solid foundation in algebra and trigonometry. The course concentrates on the various functions that are important to the study of the calculus.

Subject:
Mathematics
Material Type:
Full Course
Provider:
U.C. Irvine
Provider Set:
UCI Open
Author:
Rachel Lehman
Sarah Eichorn
Date Added:
03/14/2018
Medicine in the Body
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In this activity, we will explore how the dosage and frequency of a medicine taken affect the amount of medicine present in the blood.

Subject:
Business and Communication
Mathematics
Material Type:
Activity/Lab
Data Set
Lecture Notes
Provider:
Science Education Resource Center (SERC) at Carleton College
Provider Set:
Pedagogy in Action
Starting Point (SERC)
Author:
Semra Kilic-Bahi
Date Added:
08/28/2012
OpenStax Algebra & Trigonometry Recorded Lectures and Notes for Precalculus
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This resource is a collection of full hour-long lectures and accompanying notes covering most of chapters 6-10 of the OpenStax Algebra and Trigonometry book. The notes are provided in both .DOCX and .PDF format to accommodate downloading ease. Students should be encouraged to print notes and fill them out as they watch through the lectures.

Subject:
Mathematics
Material Type:
Full Course
Author:
Libby Gore
Date Added:
05/31/2017
Precalculus
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Prior to 1990, the performance of a student in precalculus at the University of Washington was not a predictor of success in calculus. For this reason, the mathematics department set out to create a new course with a specific set of goals in mind:

A review of the essential mathematics needed to succeed in calculus.
An emphasis on problem solving, the idea being to gain both experience and confidence in working with a particular set of mathematical tools.
This text was created to achieve these goals and the 2004-05 academic year marks the eleventh year in which it has been used. Several thousand students have successfully passed through the course.

This book is full of worked out examples. We use the the notation “Soluion.” to indicate where the reasoning for a problem begins; the symbol ?? is used to indicate the end of the solution to a problem. There is a Table of Contents that is useful in helping you find a topic treated earlier in the course. It is also a good rough outline when it comes time to study for the final examination. The book also includes an index at the end. Finally, there is an appendix at the end of the text with ”answers” to most of the problems in the text. It should be emphasized these are ”answers” as opposed to ”solutions”. Any homework problems you may be asked to turn in will require you include all your work; in other words, a detailed solution. Simply writing down the answer from the back of the text would never be sufficient; the answers are intended to be a guide to help insure you are on the right track.

Subject:
Calculus
Material Type:
Textbook
Author:
David H. Collingwood
K. David Prince
Matthew M. Conroy
Date Added:
12/03/2019
Precalculus
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From the preface, "These are notes for a course in precalculus, as it is taught at New York City College of Technology - CUNY (where it is offered under the course number MAT 1375). Our approach is calculator based. For this, we will use the currently standard TI-84 calculator, and in particular, many of the examples will be explained and solved with it. However, we want to point out that there are also many other calculators that are suitable for the purpose of this course and many of these alternatives have similar functionalities as the calculator that we have chosen to use. An introduction to the TI-84 calculator together with the most common applications needed for this course is provided in appendix A. In the future we may expand on this by providing introductions to other calculators or computer algebra systems."

Subject:
Calculus
Material Type:
Textbook
Provider:
CUNY Academic Works
Provider Set:
New York City College of Technology
Author:
Holly Carley
Thomas Tradler
Date Added:
09/01/2015
Precalculus
Conditions of Use:
No Strings Attached
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Precalculus is adaptable and designed to fit the needs of a variety of precalculus courses. It is a comprehensive text that covers more ground than a typical one- or two-semester college-level precalculus course. The content is organized by clearly-defined learning objectives, and includes worked examples that demonstrate problem-solving approaches in an accessible way.

Subject:
Mathematics
Material Type:
Textbook
Provider:
Rice University
Provider Set:
OpenStax College
Author:
David Lippman
Jay Abramson
Jean-Marie Magnier
Melonie Rasmussen
Nicholas Belloit
Rachael Gross
Rick Norwood
Valeree Falduto
Date Added:
02/20/2014
Precalculus 1 & 2 with Trigonometry
Conditions of Use:
Read the Fine Print
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Precalculus 1 & 2 / Trigonometry provides a study of functions and their graphs, including polynomial, rational, exponential, and logarithmic functions. Additionally, right-triangle trigonometry, trigonometric functions and their applications are covered.

Subject:
Calculus
Trigonometry
Material Type:
Full Course
Textbook
Provider:
Lumen Learning
Provider Set:
Candela Courseware
Author:
David Lippman
Melonie Rasmussen
Date Added:
03/31/2016
Precalculus: An Active Reading Approach: Elementary Functions
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This book is a collection of activities, a digital workbook, that replaces traditional textbook reading with an interactive, guided-lesson approach to learning. The workbook covers common topics of precalculus that are otherwise delivered as passive reading assignments or lectures.

Each chapter begins with activities which introduce students to the basics of a topic. Activities can be assigned, graded and recorded through the use of WeBWorK, an open-source online homework system. Many exercises include dynamic GeoGebra graphs for students to manipulate.

Following the activities, each chapter has a Gist section which resembles the expository content in a traditional textbook, though it still has interactive components such as found in the activities.

Subject:
Mathematics
Material Type:
Textbook
Provider:
Mt. Hood Community College
Author:
Jack Green
Nick Chura
Date Added:
03/03/2019
Precalculus: An Investigation of Functions
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Precalculus: An Investigation of Functions is a free, open textbook covering a two-quarter pre-calculus sequence including trigonometry. The first portion of the book is an investigation of functions, exploring the graphical behavior of, interpretation of, and solutions to problems involving linear, polynomial, rational, exponential, and logarithmic functions. An emphasis is placed on modeling and interpretation, as well as the important characteristics needed in calculus.

Subject:
Calculus
Material Type:
Textbook
Provider:
Evergreen State College
Shoreline Community College
Author:
David Lippman
Melonie Rasmussen
Date Added:
01/01/2012
Precalculus I (MATH 141)
Conditions of Use:
No Strings Attached
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This course will cover families of functions, their properties, graphs and applications. These functions include: polynomial, rational, exponential, logarithmic functions and combinations of these. We will solve related equations and inequalities and conduct data analysis, introductory mathematical modeling and develop competency with a graphing calculator.Login: guest_oclPassword: ocl

Subject:
Functions
Material Type:
Full Course
Homework/Assignment
Lecture Notes
Lesson Plan
Reading
Syllabus
Provider:
Washington State Board for Community & Technical Colleges
Provider Set:
Open Course Library
Date Added:
10/31/2011
Precalculus and Advanced Topics Module 2
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Module 2 extends the concept of matrices introduced in Module 1.  Students look at incidence relationships in networks and encode information about them via high-dimensional matrices.  Matrix properties are studied as well as the role of the zero and identity matrices.  Students then use matrices to study and solve higher order systems of equations.  Vectors are introduced, and students study the arithmetic of vectors and vector magnitude.  The module ends as students program video games using matrices and vectors.

Subject:
Mathematics
Material Type:
Module
Provider:
New York State Education Department
Provider Set:
EngageNY
Date Added:
03/24/2016
Precalculus and Advanced Topics Module 3
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Students revisit the fundamental theorem of algebra as they explore complex roots of polynomial functions.  They use polynomial identities, the binomial theorem, and Pascal’s Triangle to find roots of polynomials and roots of unity. Students compare and create different representations of functions while studying function composition, graphing functions, and finding inverse functions.

Subject:
Mathematics
Material Type:
Module
Provider:
New York State Education Department
Provider Set:
EngageNY
Date Added:
03/24/2016
Precalculus and Advanced Topics Module 4
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This module revisits trigonometry that was introduced in Geometry and Algebra II, uniting and further expanding the ideas of right triangle trigonometry and the unit circle.  New tools are introduced for solving geometric and modeling problems through the power of trigonometry.  Students explore sine, cosine, and tangent functions and their periodicity, derive formulas for triangles that are not right, and study the graphs of trigonometric functions and their inverses.

Subject:
Mathematics
Material Type:
Module
Provider:
New York State Education Department
Provider Set:
EngageNY
Date Added:
03/24/2016
Precalculus and Advanced Topics Module 5
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In this module, students build on their understanding of probability developed in previous grades.  In Topic A the multiplication rule for independent events introduced in Algebra II is generalized to a rule that can be used to calculate probability where two events are not independent.  Students are also introduced to three techniques for counting outcomes.  Topic B presents information related to random variables and discrete probability distributions.  Topic C is a capstone topic for this module, where students use what they have learned about probability and expected value to analyze strategies and make decisions in a variety of contexts.

Subject:
Mathematics
Material Type:
Module
Provider:
New York State Education Department
Provider Set:
EngageNY
Date Added:
04/15/2016
Precalculus for Engineering and Science
Conditions of Use:
No Strings Attached
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The goals of this course are to give students a greater knowledge and understanding of mathematics and to help students develop new skills and concepts and enhance their problem-solving ability, all of which are necessary for the study of a science and engineering oriented calculus. MAT 196 is also designed to help students further develop and extend their critical thinking skills in a contextualized environment. You will achieve this goal by applying strategies presented by the instructor which are designed to help you interpret, analyze, evaluate, infer, and synthesize concepts studied in preparation for Calculus.

Subject:
Calculus
Material Type:
Full Course
Provider:
Middlesex Community College
Author:
Denise Sullivan
Date Added:
05/13/2019