Author: Philip G. Lewis
Publisher: MIT Press (MA)
ISBN: 9780262620635
Category : Computers
Languages : en
Pages : 557
Book Description
Approaching Precalculus Mathematics Discretely introduces concepts of discrete mathematics through the computer, making them easier to teach and more fun to learn. Philip Lewis shows how this can be accomplished using the Logo language to apply and explore much of the material in standard high school advanced algebra and precalculus programs. He develops sophisticated programming techniques in conjunction with mathematical concepts that make the book a model for teachers looking for ways to integrate computers into the mathematics curriculum. The opening chapter introduces the use of Logo to express a variety of basic mathematical functions. The next four chapters broaden the discussion to include elementary vector operations, in the plane and linear transformations and matrix operations defined as vector-valid functions. Chapter 4 applies the theory of linear transformations to the mapping of two dimensional geometric objects drawn on the computer screen. Chapter 5 takes up mathematical induction and recursion. This allows the transformation theory of chapter 4 to be extended to wire frame objects in space that are projected on the computer screen. Chapter 7 constructs a graphing utility that is used in subsequent chapters to examine the graphs of a variety of functions and to introduce the concept of a limit. This extends to an intuitive introduction to slope and the derivative in order to establish a territory for the calculus. The two chapters that follow examine the traditional cyclic functions from a graphic and transformational point of view. The book concludes by outlining explorations of topics from earlier chapters. Philip G. Lewis teaches mathematics and computer science at Lincoln Sudbury Regional High School in Sudbury Massachusetts. Approaching Precalculus Mathematics Discretely is included in the series Exploring with Logo, edited by E. Paul Goldenberg.
Approaching Precalculus Mathematics Discretely
Author: Philip G. Lewis
Publisher: MIT Press (MA)
ISBN: 9780262620635
Category : Computers
Languages : en
Pages : 557
Book Description
Approaching Precalculus Mathematics Discretely introduces concepts of discrete mathematics through the computer, making them easier to teach and more fun to learn. Philip Lewis shows how this can be accomplished using the Logo language to apply and explore much of the material in standard high school advanced algebra and precalculus programs. He develops sophisticated programming techniques in conjunction with mathematical concepts that make the book a model for teachers looking for ways to integrate computers into the mathematics curriculum. The opening chapter introduces the use of Logo to express a variety of basic mathematical functions. The next four chapters broaden the discussion to include elementary vector operations, in the plane and linear transformations and matrix operations defined as vector-valid functions. Chapter 4 applies the theory of linear transformations to the mapping of two dimensional geometric objects drawn on the computer screen. Chapter 5 takes up mathematical induction and recursion. This allows the transformation theory of chapter 4 to be extended to wire frame objects in space that are projected on the computer screen. Chapter 7 constructs a graphing utility that is used in subsequent chapters to examine the graphs of a variety of functions and to introduce the concept of a limit. This extends to an intuitive introduction to slope and the derivative in order to establish a territory for the calculus. The two chapters that follow examine the traditional cyclic functions from a graphic and transformational point of view. The book concludes by outlining explorations of topics from earlier chapters. Philip G. Lewis teaches mathematics and computer science at Lincoln Sudbury Regional High School in Sudbury Massachusetts. Approaching Precalculus Mathematics Discretely is included in the series Exploring with Logo, edited by E. Paul Goldenberg.
Publisher: MIT Press (MA)
ISBN: 9780262620635
Category : Computers
Languages : en
Pages : 557
Book Description
Approaching Precalculus Mathematics Discretely introduces concepts of discrete mathematics through the computer, making them easier to teach and more fun to learn. Philip Lewis shows how this can be accomplished using the Logo language to apply and explore much of the material in standard high school advanced algebra and precalculus programs. He develops sophisticated programming techniques in conjunction with mathematical concepts that make the book a model for teachers looking for ways to integrate computers into the mathematics curriculum. The opening chapter introduces the use of Logo to express a variety of basic mathematical functions. The next four chapters broaden the discussion to include elementary vector operations, in the plane and linear transformations and matrix operations defined as vector-valid functions. Chapter 4 applies the theory of linear transformations to the mapping of two dimensional geometric objects drawn on the computer screen. Chapter 5 takes up mathematical induction and recursion. This allows the transformation theory of chapter 4 to be extended to wire frame objects in space that are projected on the computer screen. Chapter 7 constructs a graphing utility that is used in subsequent chapters to examine the graphs of a variety of functions and to introduce the concept of a limit. This extends to an intuitive introduction to slope and the derivative in order to establish a territory for the calculus. The two chapters that follow examine the traditional cyclic functions from a graphic and transformational point of view. The book concludes by outlining explorations of topics from earlier chapters. Philip G. Lewis teaches mathematics and computer science at Lincoln Sudbury Regional High School in Sudbury Massachusetts. Approaching Precalculus Mathematics Discretely is included in the series Exploring with Logo, edited by E. Paul Goldenberg.
Precalculus Mathematics
Author: Franklin D. Demana
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 711
Book Description
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 711
Book Description
Precalculus and Discrete Mathematics
Author:
Publisher: Addison-Wesley Educational Publishers
ISBN: 9780673333667
Category : Algebra
Languages : en
Pages : 0
Book Description
Publisher: Addison-Wesley Educational Publishers
ISBN: 9780673333667
Category : Algebra
Languages : en
Pages : 0
Book Description
Precalculus Mathematics
Author: Franklin D. Demana
Publisher:
ISBN: 9780201192896
Category : Algebra
Languages : en
Pages :
Book Description
Publisher:
ISBN: 9780201192896
Category : Algebra
Languages : en
Pages :
Book Description
Precalculus Mathematics
Author: James Francis Connelly
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 492
Book Description
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 492
Book Description
Precalculus and Discrete Mathematics
Author:
Publisher: Addison-Wesley Educational Publishers
ISBN: 9780673333674
Category : Algebra
Languages : en
Pages : 906
Book Description
Publisher: Addison-Wesley Educational Publishers
ISBN: 9780673333674
Category : Algebra
Languages : en
Pages : 906
Book Description
Precalculus Mathematics
Author: Karl J. Smith
Publisher: Thomson Brooks/Cole
ISBN: 9780534052324
Category : Mathematics
Languages : en
Pages : 552
Book Description
Publisher: Thomson Brooks/Cole
ISBN: 9780534052324
Category : Mathematics
Languages : en
Pages : 552
Book Description
Graphical Approach to Precalculus with Limits
Author: John Hornsby
Publisher: Pearson Higher Ed
ISBN: 0321899806
Category : Mathematics
Languages : en
Pages : 1026
Book Description
This is the eBook of the printed book and may not include any media, website access codes, or print supplements that may come packaged with the bound book. A Graphical Approach to Precalculus with Limits: A Unit Circle Approach illustrates how the graph of a function can be used to support the solutions of equations and inequalities involving the function. Beginning with linear functions in Chapter 1, the text uses a four-part process to analyze each type of function, starting first with the graph of the function, then the equation, the associated inequality of that equation, and ending with applications. The text covers all of the topics typically caught in a college algebra course, but with an organization that fosters students’ understanding of the interrelationships among graphs, equations, and inequalities. With the Fifth Edition, the text continues to evolve as it addresses the changing needs of today’s students. Included are additional components to build skills, address critical thinking, solve applications, and apply technology to support traditional algebraic solutions, while maintaining its unique table of contents and functions-based approach. A Graphical Approach to Precalculus with Limits: A Unit Circle Approach continues to incorporate an open design, with helpful features and careful explanations of topics.
Publisher: Pearson Higher Ed
ISBN: 0321899806
Category : Mathematics
Languages : en
Pages : 1026
Book Description
This is the eBook of the printed book and may not include any media, website access codes, or print supplements that may come packaged with the bound book. A Graphical Approach to Precalculus with Limits: A Unit Circle Approach illustrates how the graph of a function can be used to support the solutions of equations and inequalities involving the function. Beginning with linear functions in Chapter 1, the text uses a four-part process to analyze each type of function, starting first with the graph of the function, then the equation, the associated inequality of that equation, and ending with applications. The text covers all of the topics typically caught in a college algebra course, but with an organization that fosters students’ understanding of the interrelationships among graphs, equations, and inequalities. With the Fifth Edition, the text continues to evolve as it addresses the changing needs of today’s students. Included are additional components to build skills, address critical thinking, solve applications, and apply technology to support traditional algebraic solutions, while maintaining its unique table of contents and functions-based approach. A Graphical Approach to Precalculus with Limits: A Unit Circle Approach continues to incorporate an open design, with helpful features and careful explanations of topics.
Precalculus Mathematics
Author: Gregory D. Foley
Publisher:
ISBN: 9780201500042
Category : Mathematics
Languages : en
Pages : 490
Book Description
Publisher:
ISBN: 9780201500042
Category : Mathematics
Languages : en
Pages : 490
Book Description
Precalculus
Author: Ron Larson
Publisher:
ISBN: 9780495832072
Category : Algebra
Languages : en
Pages : 1136
Book Description
Publisher:
ISBN: 9780495832072
Category : Algebra
Languages : en
Pages : 1136
Book Description