Introduction to applied math and physics

OpenStax

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Preface to introduction to math and physics

1 Preface to college physics

2 Useful information

3 Glossary of key symbols and notation

Introduction: the nature of science and physics

Introduction to science and the realm of physics, physical quantities,

1 Physics: an introduction

2 Physical quantities and units

3 Accuracy, precision, and significant figures

4 Approximation

Introduction to one-dimensional kinematics

2 Vectors, scalars, and coordinate systems

3 Time, velocity, and speed

5 Motion equations for constant acceleration in one dimension

6 Problem-solving basics for one-dimensional kinematics

7 Falling objects

8 Graphical analysis of one-dimensional motion

Two-dimensional kinematics

Introduction to two-dimensional kinematics

1 Kinematics in two dimensions: an introduction

2 Vector addition and subtraction: graphical methods

3 Vector addition and subtraction: analytical methods

4 Projectile motion

Dynamics: force and newton's laws of motion

Introduction to dynamics: newton’s laws of motion

1 Development of force concept

2 Newton’s first law of motion: inertia

3 The first condition for equilibrium

4 Newton’s second law of motion: concept of a system

5 Newton’s third law of motion: symmetry in forces

6 Normal, tension, and other examples of forces

8 Elasticity: stress and strain

9 Problem-solving strategies

10 Further applications of newton’s laws of motion

Uniform circular motion and gravitation

Introduction to uniform circular motion and gravitation

1 Centripetal acceleration

2 Centripetal force

3 Newton’s universal law of gravitation

4 Satellites and kepler’s laws: an argument for simplicity

Work, energy, and energy resources

Introduction to work, energy, and energy resources

1 Work: the scientific definition

1.1 What it means to do work

1.2 Calculating work

1.3 Section summary

1.4 Conceptual questions

1.5 Problems & Exercises

2 Kinetic energy and the work-energy theorem

3 Gravitational potential energy

4 Conservative forces and potential energy

4.1 Potential energy and conservative forces

4.2 Potential energy of a spring

4.3 Conservation of mechanical energy

4.4 Using conservation of mechanical energy to calculate the speed of a toy

4.5 Section summary

4.6 Conceptual questions

4.7 Problems & Exercises

5 Nonconservative forces

6 Conservation of energy

6.1 Law of conservation of energy

6.2 Other forms of energy than mechanical energy

6.3 Some of the many forms of energy

6.4 Transformation of energy

6.6 Section summary

6.7 Conceptual questions

6.8 Problems & Exercises

8 Work, energy, and power in humans

9 World energy use

9.1 Renewable and nonrenewable energy sources

9.2 The world’s growing energy needs

9.3 Energy and economic well-being

9.4 Conserving energy

9.5 Section summary

9.6 Conceptual questions

9.7 Problems & Exercises

Linear momentum and collisions

Introduction to linear momentum and collisions

1 Linear momentum and force

3 Conservation of momentum

3.1 Subatomic collisions and momentum

3.2 Section summary

3.3 Conceptual questions

3.4 Problems & Exercises

4 Elastic collisions in one dimension

4.1 Calculating velocities following an elastic collision

4.2 Section summary

4.3 Conceptual questions

4.4 Problems & Exercises

5 Inelastic collisions in one dimension

6 Collisions of point masses in two dimensions

7 Introduction to rocket propulsion

Rotational motion and angular momentum

Introduction to rotational motion and angular momentum

1 Rotation angle and angular velocity

2 Angular acceleration

3 Kinematics of rotational motion

5 Dynamics of rotational motion: rotational inertia

6 Rotational kinetic energy: work and energy revisited

7 Angular momentum and its conservation

Source: OpenStax, Introduction to applied math and physics. OpenStax CNX. Oct 04, 2012 Download for free at http://cnx.org/content/col11426/1.3

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