Mathematics 1174: calculus I : with economics & business applications

Pichmony Anhaouy; Minh Phuong Bui; Gregory Neil Hartman

Mathematics 1174: calculus I : with economics & business applications

Summary

Content type	Content type Digital Document
Collection(s)	Collection(s) Open Educational Resources Mathematics 1174: calculus I : with economics & business applications
Additional/Alternative Titles	Additional/Alternative Titles Title Type alternative Title Calculus I: with economics & business applications Title Type alternative Title Economics & business applications Title Type alternative Title MATH 1174 Title Type alternative Title Adapted from: APEX calculus Title Type alternative Title Solutions manual: Solutions to selected exercises from Math 1174 textbook
Resource Type	Resource Type Text
Genre	Genre text still image Textbooks. Handbooks and manuals. Problems and exercises. Electronic books.

Origin Information

Date Created/Date Issued	2023
Edition	First custom edition.
Issuance	monographic

Event Type	publication
Place	Vancouver, British Columbia :
Date Created/Date Issued	2023
Publisher	Langara College,

Event Type	distribution
Place	Burnaby, British Columbia :
Date Created/Date Issued	2023-12-12
Other Date	2023
Publisher	The LaIR, Arca Digital Repository, Electronic Library Network,

Persons and Affiliations

Persons	Author (aut): Anhaouy, Pichmony. Author (aut): Bui, Minh Phuong. Author (aut): Hartman, Gregory Neil.
Organizations	Issuing body (isb): Langara College

Abstract/Description

Description / Synopsis	Description / Synopsis This book is mainly adapted from the first four chapters of the open source calculus textbook titled APEX calculus, Version 3.0, by Gregory Hartman, department of applied mathematics, Virginia Military Institute. This complete calculus book is under the Creative Commons Attribution-NonCommercial-Share-Alike 4.0 International License. Chapter 2 is greatly modified in such a way that exponential, logarithmic, and trigonometric functions and their derivatives have their own sections. Also, the book is partly taken from the MATH 1174 lecture notes, by Pichmony Anhaouy, department of mathematics and statistics, Langara College. The main topics from the notes are economics and business applications in chapter 4, section 4.3, linear motion and marginal analysis in chapter 2, section 2.5. In addition, the topic linear approximation is added to section 4.4. We add two examples to section 1.5, three to section 1.4, one to section 2.3, and two examples showing how the chain rule is used in business problems to section 2.7. These examples can be found at the end of each section. More examples and exercises were added to new derivatives of trigonometric and inverse trigonometric functions.
Table Of Contents	Table Of Contents 1. Limits. An Introduction to Limits -- Epsilon-Delta Definition of a Limit -- Finding Limits Analytically -- One Sided Limits -- Limits Involving Infinity -- Continuity. 2. Derivatives. Introduction to Derivative -- Interpretations of the Derivative -- Basic Differentiation Rules -- The Product and Quotient Rules -- Derivative as Rates of Change: Linear Motion; Marginal Analysis -- Derivatives of Trigonometric Functions -- The Chain Rule -- Implicit Differentiation -- Derivatives of Exponential and Logarithmic Functions -- Derivatives of Inverse Trigonometric Functions. 3. The Graphical Behaviour of Functions. Extreme Values -- The Mean Value Theorem -- Increasing and Decreasing Functions -- Concavity and the Second Derivative -- Curve Sketching. 4. Applications of the Derivative. Related Rates -- Applied Optimization Problems -- Economics and Business Applications: Elasticity of Demand Problems; Optimal Harvest Problems; Inventory Costs Control -- Linear Approximation and Differentials: Linear Approximation (Tangent Line Approximation Revisited); Differentials -- L'Hopital's Rule -- Antiderivatives and Indefinite Integration. Appendix. Solutions to Selected Problems.
Language	Language English

Publication/Container Information

Series	Series Series Titles Langara authors

Physical Description

Extent	Extent 1 online resource : illustrations (some color) + 1 solutions manual.
Physical Form	Physical Form electronic resource remote computer online resource

Relationships

Related Item

Relationship Type	series
Title	Langara authors

Identifiers

Handle	Handle Handle placeholder

Notes

Note

Note Type	statement of responsibility
Note	Pichmony Anhaouy.

Note Type	system details
Note	Mode of access: World Wide Web.

Subjects and Classifications

Subject Topic	Subject Topic Calculus Calculus Study and teaching (Higher) Mathematics Mathematics Study and teaching (Higher) Economics Study and teaching (Higher) Business Study and teaching (Higher)
Library of Congress Classification	Library of Congress Classification QA303.2 .A543 2023
Dewey Decimal Classification	Dewey Decimal Classification 515

Summary

Content type	Content type Compound Object
Collection(s)	Collection(s) Open Educational Resources
Additional/Alternative Titles	Additional/Alternative Titles Title Type alternative Title Calculus I: with economics & business applications Title Type alternative Title Economics & business applications Title Type alternative Title MATH 1174 Title Type alternative Title Adapted from: APEX calculus Title Type alternative Title Solutions manual: Solutions to selected exercises from Math 1174 textbook
Resource Type	Resource Type Text
Genre	Genre book handbook problems and exercises electronic books

Origin Information

Date Created/Date Issued	2023
Edition	First custom edition.
Issuance	monographic

Event Type	publication
Place	Vancouver, British Columbia :
Date Created/Date Issued	2023
Publisher	Langara College,

Event Type	distribution
Place	Burnaby, British Columbia :
Date Created/Date Issued	2023-12-12
Other Date	2023
Publisher	The LaIR, Arca Digital Repository, Electronic Library Network,

Persons and Affiliations

Persons	Author (aut): Anhaouy, Pichmony Author (aut): Bui, Minh Phuong Author (aut): Hartman, Gregory Neil
Organizations	Issuing body (isb): Langara College

Abstract/Description

Description / Synopsis	Description / Synopsis This book is mainly adapted from the first four chapters of the open source calculus textbook titled APEX calculus, Version 3.0, by Gregory Hartman, department of applied mathematics, Virginia Military Institute. This complete calculus book is under the Creative Commons Attribution-NonCommercial-Share-Alike 4.0 International License. Chapter 2 is greatly modified in such a way that exponential, logarithmic, and trigonometric functions and their derivatives have their own sections. Also, the book is partly taken from the MATH 1174 lecture notes, by Pichmony Anhaouy, department of mathematics and statistics, Langara College. The main topics from the notes are economics and business applications in chapter 4, section 4.3, linear motion and marginal analysis in chapter 2, section 2.5. In addition, the topic linear approximation is added to section 4.4. We add two examples to section 1.5, three to section 1.4, one to section 2.3, and two examples showing how the chain rule is used in business problems to section 2.7. These examples can be found at the end of each section. More examples and exercises were added to new derivatives of trigonometric and inverse trigonometric functions.
Table Of Contents	Table Of Contents 1. Limits. An Introduction to Limits -- Epsilon-Delta Definition of a Limit -- Finding Limits Analytically -- One Sided Limits -- Limits Involving Infinity -- Continuity. 2. Derivatives. Introduction to Derivative -- Interpretations of the Derivative -- Basic Differentiation Rules -- The Product and Quotient Rules -- Derivative as Rates of Change: Linear Motion; Marginal Analysis -- Derivatives of Trigonometric Functions -- The Chain Rule -- Implicit Differentiation -- Derivatives of Exponential and Logarithmic Functions -- Derivatives of Inverse Trigonometric Functions. 3. The Graphical Behaviour of Functions. Extreme Values -- The Mean Value Theorem -- Increasing and Decreasing Functions -- Concavity and the Second Derivative -- Curve Sketching. 4. Applications of the Derivative. Related Rates -- Applied Optimization Problems -- Economics and Business Applications: Elasticity of Demand Problems; Optimal Harvest Problems; Inventory Costs Control -- Linear Approximation and Differentials: Linear Approximation (Tangent Line Approximation Revisited); Differentials -- L'Hopital's Rule -- Antiderivatives and Indefinite Integration. Appendix. Solutions to Selected Problems.
Language	Language English

Publication/Container Information

Series	Series Series Titles Langara authors

Physical Description

Extent	Extent 1 online resource : illustrations (some color) + 1 solutions manual.
Physical Form	Physical Form electronic resource

Relationships

Language	English
Name	Mathematics 1174
Authored on	2025-02-25
MIME type	application/pdf
File size	5762588
Media Use	Original File

Mathematics 1174: calculus I : with economics & business applications

Mathematics 1174: calculus I : with economics & business applications

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