So You Want to Take Physics: A Preparatory Course / Edition 1

So You Want to Take Physics: A Preparatory Course / Edition 1

by Rodney Cole
     
 

ISBN-10: 0030972159

ISBN-13: 9780030972157

Pub. Date: 01/28/1993

Publisher: Cengage Learning

This introductory-level book covers numerous physical principles and is ideal for strengthening mathematical skills essential to the study of physics.  See more details below

Overview

This introductory-level book covers numerous physical principles and is ideal for strengthening mathematical skills essential to the study of physics.

Product Details

ISBN-13:
9780030972157
Publisher:
Cengage Learning
Publication date:
01/28/1993
Pages:
340
Product dimensions:
8.07(w) x 9.99(h) x 0.66(d)

Table of Contents

1Keeping It in the Ballpark1
1.1Studying Physics1
1.2Scientific Notation and Significant Figures3
1.3Units6
1.4The Ballpark and the Back-of-the-Envelope9
1.5Word Problems!14
2A Visit to Lineland23
2.1Position and Velocity23
2.2The Velocity as the Slope of the Position-Time Graph25
2.3Acceleration27
2.4The Acceleration as the Curvature of the Position-Time Graph32
2.5Gravity37
3Those Special Functions47
3.1The Exponential Function and the Number e47
3.2Exponential Decay and Terminal Speed53
3.3Logarithms57
3.4Log, Semi-Log, and Log-Log Graphs61
3.5Circular Symmetry and Arc Length68
3.6Angular Kinematics70
3.7Circular Functions73
4Elements of Differential Calculus and Linear Approximation83
4.1The Instantaneous Velocity and the Derivative83
4.2Maxima, Minima, and Curvature86
4.3Definition of the Differential and the Chain Rule91
4.4Expansion Parameters and the Binomial Theorem94
4.5Approximations for Trigonometric Functions99
4.6Differential Approximation101
5Approximation, Probability, and Error107
5.1Probability107
5.2Error in Experiment: Types of Error112
5.3Random Error and Best Estimation116
5.4Standard Deviation117
5.5Error Propagation and Predicted Values121
5.6Using Graphs125
6Return to Lineland131
6.1The Integral131
6.2The Definite Integral134
6.3Kinematics: The Rules of Motion138
6.4A Bead on a Wire140
6.5Integrating and Differentiating Visually with a Bead on a Wire142
6.6Integrating and Differentiating Pathological Functions149
6.7When to Integrate, An Application to Density150
7Vectors, Displacement, and Velocity159
7.1Dimension159
7.2Vectors: Position and Displacement161
7.3Vector Algebra166
Resolving a Vector into Cartesian Components166
Vector Addition169
7.4Displacement, Velocity, and Acceleration176
7.5Cartesian Displacements in Three Dimensions179
7.6Velocity Addition and Reference Frames181
8Life on a Sphere191
8.1Traveling in Circles191
8.2Spherical Polar Coordinates198
8.3Life on a Sphere, Longitude, and Latitude200
8.4Area, Volume, and Solid Angle: Elements of Symmetry205
8.5Using Area and Volume Elements212
9Force223
9.1Newton's Laws and Dynamics223
9.2The First Law224
9.3The Second Law226
9.4The Third Law234
10Vector Multiplication243
10.1Multiplication of a Vector by a Scalar243
10.2The Scalar Product or Dot Product244
10.3The Vector Product or Cross Product249
10.4Work and Kinetic Energy253
10.5Directed Surface Area, Flux, and Volume256
11Visualizing Functions in Space and Time265
11.1The Superposition of Functions265
11.2Two-Dimensional Maps267
11.3Superposition and Harmonic Functions: Phase277
11.4Traveling Waves and Phase Velocity282
11.5Time Averages and RMS Values285
11.6The Final Word (Really)288
Appendix A293
Appendix B297
Index321

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