Doing Physics with Scientific Notebook
A Problem Solving Approach
(Sprache: Englisch)
The goal of this book is to teach undergraduate students how to use Scientific Notebook (SNB) to solve physics problems. SNB software combines word processing and mathematics in standard notation with the power of symbolic computation. As its name implies,...
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The goal of this book is to teach undergraduate students how to use Scientific Notebook (SNB) to solve physics problems. SNB software combines word processing and mathematics in standard notation with the power of symbolic computation. As its name implies, SNB can be used as a notebook in which students set up a math or science problem, write and solve equations, and analyze and discuss their results.Written by a physics teacher with over 20 years experience, this text includes topics that have educational value, fit within the typical physics curriculum, and show the benefits of using SNB.
This easy-to-read text:
* Provides step-by-step instructions for using Scientific Notebook (SNB) to solve physics problems
* Features examples in almost every section to enhance the reader's understanding of the relevant physics and to provide detailed instructions on using SNB
* Follows the traditional physics curriculum, so it can be used to supplement teaching at all levels of undergraduate physics
* Includes many problems taken from the author's class notes and research
Aimed at undergraduate physics and engineering students, this text teaches readers how to use SNB to solve some everyday physics problems.
Inhaltsverzeichnis zu „Doing Physics with Scientific Notebook “
Preface xvSo we're all on the same page... xvii
What is science? xviii
To the Student xix
To the Teacher xx
Contact Information xx
Acknowledgments xxi
1 Introduction to SNB 1
Why SNB? 1
The Basics 2
Physics à la mode: Math or Text 8
Creating Mathematical Expressions 8
Evaluate and Evaluate Numerically 11
Scientific Notation 13
Substitution and Endpoint Evaluation 14
Solving Equations 17
Solve Exact 18
Solve Numeric 21
Systems of Equations 24
The Compute Menu 25
Simplify and Expand 25
Factor 26
Rewrite and Combine 28
Check Equality 29
Polynomials 31
Power Series 32
Definitions 35
Other Good Stuff 37
Computing In-place 37
Making Assumptions About Variables 37
Limits 40
A Few Words About Calculus 42
Units 46
Converting Units 47
User-Defined Units 51
Plotting 52
Plot 2D Rectangular 54
Other 2-Dimensional Plots 55
Plot 3D Rectangular 58
Cylindrical and Spherical Plots 60
Plotting Data 63
Fitting a Curve to Data 63
Differential Equations 67
Solve ODE Exact and Laplace 68
Solve ODE Numeric 70
Problems 75
2 One-Dimensional Kinematics 83
Constant Acceleration 83
Displacement and Position 83
Velocity and Acceleration 84
Equations of Motion 86
Signs of the Times 88
Free Fall 89
Varying Acceleration 91
Displacement, Velocity, and Acceleration 91
Equations of Motion 93
Gravity and Air Resistance 96
Resisting Air Resistance is Futile 97
Long-Distance Free Fall 99
Problems 102
3 Vectors 105
Components of a Vector 107
Magnitude and
... mehr
Direction 108
Adding Vectors 111
The Component Method 112
The SNB Method 113
The Graphing Method 115
Unit Vectors 119
Multiplying Vectors 120
Dot Product 121
Cross Product 122
Problems 125
4 Projectile Motion 127
No Air Resistance 127
Trajectory 132
Time of Flight 134
Maximum Height 135
Linear Air Resistance 137
Trajectory 141
Time of Flight and Range 143
Maximum Height 145
Turn Off the Air! 146
Turn Down the Air! 147
Quadratic Air Resistance 151
Height-Dependent Air Resistance 152
Problems 154
5 Newton's Laws of Motion 157
Newton's First Law 157
Newton's Second Law for Constant Forces 158
Newton's Second Law for Varying Forces 165
Time-Dependent Forces 165
Velocity-Dependent Forces 167
Position-Dependent Forces 170
Newton's Third Law 173
Problems 175
6 Conservation Laws 179
Definitions 179
Conservation of Energy 181
Work 181
The Work-Energy Theorem 185
Potential Energy 186
Mechanical Energy is Conserved 188
A Complete Bookkeeping 191
Conservation of Momentum 193
Collisions in 1-Dimension 193
Collisions in 2-Dimensions 196
Rockets 199
Deep Space 199
Launch 202
Air Resistance 207
Varying Gravity and Air Resistanc
Adding Vectors 111
The Component Method 112
The SNB Method 113
The Graphing Method 115
Unit Vectors 119
Multiplying Vectors 120
Dot Product 121
Cross Product 122
Problems 125
4 Projectile Motion 127
No Air Resistance 127
Trajectory 132
Time of Flight 134
Maximum Height 135
Linear Air Resistance 137
Trajectory 141
Time of Flight and Range 143
Maximum Height 145
Turn Off the Air! 146
Turn Down the Air! 147
Quadratic Air Resistance 151
Height-Dependent Air Resistance 152
Problems 154
5 Newton's Laws of Motion 157
Newton's First Law 157
Newton's Second Law for Constant Forces 158
Newton's Second Law for Varying Forces 165
Time-Dependent Forces 165
Velocity-Dependent Forces 167
Position-Dependent Forces 170
Newton's Third Law 173
Problems 175
6 Conservation Laws 179
Definitions 179
Conservation of Energy 181
Work 181
The Work-Energy Theorem 185
Potential Energy 186
Mechanical Energy is Conserved 188
A Complete Bookkeeping 191
Conservation of Momentum 193
Collisions in 1-Dimension 193
Collisions in 2-Dimensions 196
Rockets 199
Deep Space 199
Launch 202
Air Resistance 207
Varying Gravity and Air Resistanc
... weniger
Bibliographische Angaben
- Autor: Joseph Gallant
- 2012, 1. Auflage, 520 Seiten, Maße: 17,2 x 25,2 cm, Kartoniert (TB), Englisch
- Verlag: Wiley & Sons
- ISBN-10: 047066598X
- ISBN-13: 9780470665985
- Erscheinungsdatum: 04.05.2012
Sprache:
Englisch
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