Updating search results...

Search Resources

26 Results

View
Selected filters:
  • Precalculus
#2: Functions and Relations
Conditional Remix & Share Permitted
CC BY-NC
Rating
0.0 stars

This week we will examine the concept of a function, a fundamental concept underlying all of modern mathematics. You’re undoubtedly already familiar with functions in an intuitive sense: a function is something which, given
an input, produces an output. But you’ve probably never seen the formal definition of a function as it relates to set theory, which is what we’ll look at this week.

Subject:
Functions
Material Type:
Reading
Author:
Brent Yorgey
Date Added:
10/14/2020
APEX PreCalculus
Conditional Remix & Share Permitted
CC BY-NC
Rating
0.0 stars

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
Active Prelude to Calculus
Conditional Remix & Share Permitted
CC BY-SA
Rating
0.0 stars

This text is designed for college students who aspire to take calculus and who either need to take a course to prepare them for calculus or want to do some additional self-study. Many of the core topics of the course will be familiar to students who have completed high school. At the same time, we take a perspective on every topic that emphasizes how it is important in calculus.

Subject:
Mathematics
Calculus
Material Type:
Textbook
Author:
Matthew Boelkins
Date Added:
02/18/2022
The Concept of a Function
Unrestricted Use
CC BY
Rating
0.0 stars

This posting explains the concept of a function, the notation, domain and range of a function, and the basic ways to define a function.

Subject:
Mathematics
Material Type:
Lesson
Author:
Igor Baryakhtar
Date Added:
03/04/2021
Dewey Math
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
0.0 stars

This site has two PreCalculus Trigonometry textbooks and a PreCalculus Essentials textbook

Subject:
Mathematics
Algebra
Trigonometry
Material Type:
Textbook
Author:
Dewey Dellinger
Date Added:
08/29/2022
Khan Academy: Precalculus
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
0.0 stars

This course covers Complex Number, Polynomials, Composite Functions, Trigonometry, Vectors, Matrices, Series, Conic Sections, and Probability and combinatorics.

Subject:
Mathematics
Material Type:
Full Course
Author:
Khan Academy
Date Added:
12/03/2020
Math 1A/1B: Pre-Calculus
Conditional Remix & Share Permitted
CC BY-SA
Rating
0.0 stars

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
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
0.0 stars

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:
Starting Point (SERC)
Author:
Semra Kilic-Bahi
Date Added:
08/28/2012
OpenStax Algebra & Trigonometry Recorded Lectures and Notes for Precalculus
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
0.0 stars

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
OpenStax Precalculus Ancillary Materials
Unrestricted Use
CC BY
Rating
0.0 stars

This collection of worksheets, homework assignments, and study skills exercises was created through a Round 14 Textbook Transformation Grant. The worksheets supplement the following topics as covered in OpenStax Precalculus: Functions, domain and range, rates of change, inverse functions, exponential functions, logarithmic functions, exponential growth modeling, angles, sine and cosine, right triangles, sum identities, and difference identities. Study skills exercises include growth mindset and metacognition activities.

Subject:
Calculus
Material Type:
Activity/Lab
Homework/Assignment
Provider:
University System of Georgia
Author:
Marcela Chiorescu
Rachel Epstein
Date Added:
10/03/2022
Precalculus
Read the Fine Print
Educational Use
Rating
0.0 stars

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
Provider:
A.T. Still University
Author:
David H. Collingwood
K. David Prince
Matthew M. Conroy
Date Added:
12/03/2019
Precalculus
Unrestricted Use
CC BY
Rating
0.0 stars

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
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
0.0 stars

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 1 & 2 with Trigonometry
Read the Fine Print
Rating
0.0 stars

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 Investigation of Functions
Conditional Remix & Share Permitted
CC BY-SA
Rating
0.0 stars

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
Author:
David Lippman
Melonie Rasmussen
Date Added:
01/28/2013
Precalculus and Advanced Topics Module 2
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
0.0 stars

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
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
0.0 stars

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