This tutorial covers the concepts of average and instantaneous velocity in one dimension. Students are led to an interpretation of speed.

This dynamics first tutorial targets limits, operational definitions, proportional reasoning, rates of change, representations, and verbal interpretations.

The tutorial gives students practice in interpreting and relating motion graphs and in translating between such graphs, verbal descriptions, and real-world motions.

Additionally, this dynamics first tutorial targets graphs, rates of change, representations, and verbal interpretations.

The tutorial covers vector addition and subtraction in one dimension, the idea of change-in-velocity as a directed quantity, an operational definition for acceleration, and the idea of limits.

Additionally, this dynamics first tutorial targets graphs, idealizations, limits, operational definitions, rates of change, representations, and vectors.

The tutorial focuses on on vector addition and subtraction in two dimensions, an operational definition of acceleration, and on limits.

Additionally, this dynamics first tutorial targets .

Students apply the concepts of displacement and velocity in multiple frames of reference. The contexts include both uniform and non-uniform motion in one-dimension.

Additionally, this dynamics first tutorial targets operational definitions, rates of change, and representations.

The tutorial covers the idea of forces as interactions between two objects, Newton’s second and third laws in static situations, and free-body diagrams.

Additionally, this dynamics first tutorial targets systems and vectors.

The tutorial gives students practice in identifying forces, in drawing free-body diagrams, in determining the net force on an object, in applying Newton’s second and third laws, and in identifying appropriate systems of objects.

Additionally, this dynamics first tutorial targets systems and vectors.

The tutorial covers the concepts of tension in a rope, Newton’s second and third laws, limits, and massless strings.

Additionally, this dynamics first tutorial targets systems and vectors.

This tutorial helps students relate force and displacement to work and to associate the net work done on an object to the change in kinetic energy of the object.

Additionally, this dynamics first tutorial targets systems.

The tutorial helps students apply the work-energy and impulse-momentum theorems to simple motions.

Additionally, this dynamics first tutorial targets systems.

The tutorial reviews ideas of force, net force, acceleration, and momentum. It then helps students develop an understanding of the principle of momentum conservation in one-dimension and how to apply it in one dimension.

Additionally, this dynamics first tutorial targets systems.

The tutorial extends to two dimensions the principle of momentum conservation developed in the previous tutorial, Conservation of momentum in one dimension.

Additionally, this dynamics first tutorial targets vectors.

The tutorial develops the concepts of angular velocity and angular acceleration and introduces the concept of torque. The vector nature of these quantities is introduced as well as the relationships between them. Students are led to recognize the similarities with the analogous linear quantities.

Additionally, this dynamics first tutorial targets proportional reasoning, rates of change, representations, and vectors.

The tutorial covers the ideas of extended free-body diagrams (diagrams showing forces at the location at which they are exerted), torque, and angular and linear acceleration.

Additionally, this dynamics first tutorial targets .

The tutorial covers the ideas of the conditions of equilibrium, center of mass, and extended free- body diagrams (diagrams showing forces and the location at which each force can be taken to act). The context is balancing.

Additionally, this dynamics first tutorial targets .

An introduction to electrostatics that includes: the number and types of charge, charge distributions on conductors and polarization, Newton's third law, and vector superposition.

Additionally, this dynamics first tutorial targets models, representations, symmetry, and vectors.

Students develop a definition of electric flux. Area vectors are introduced, then a physical representation of a uniform electric field motivates the expression Φ = E• A.

Additionally, this dynamics first tutorial targets limits, models, proportional reasoning, representations, symmetry, and vectors.

Helps students develop a qualitative understanding of Gauss’ law by having students consider the flux through portions of surfaces surrounding a variety of arrangements of charge.

Additionally, this dynamics first tutorial targets proportional reasoning, superposition, symmetry, systems, and vectors.

Students interpret electric potential difference as a ratio of work done by an electric field on a charged object to the charge. The idea of path invariance is developed.

Additionally, this dynamics first tutorial targets operational definitions, proportional reasoning, and vectors.

The concept of capacitance is motivated by considering parallel charged plates and examining the relationships between charge, potential difference, and electric field.

Additionally, this dynamics first tutorial targets .

Students construct a model for simple dc circuits they can use to predict bulb brightness. The concepts of current, resistance, and series and parallel connections are introduced.

Additionally, this dynamics first tutorial targets models.

Voltage and Kirchhoff’s loop rule are introduced in the context of circuits. Emphasis is on making and testing predictions that elicit and confront student difficulties.

Additionally, this dynamics first tutorial targets models.

Students examine qualitatively the behavior of capacitors in an RC circuit. Some incorrect ideas about current in an RC circuit and about grounding of capacitors are addressed.

Additionally, this dynamics first tutorial targets models.

Helps students confront and resolve common incorrect ideas about magnetism by distinguishing between electrostatic and magnetic interactions.

Additionally, this dynamics first tutorial targets models and operational definitions.

Provides practice using the right-hand rule and in relating: magnetic fields to currents, compass readings to field lines, and top and side view diagrams to the real world.

Additionally, this dynamics first tutorial targets fields, superposition, and vectors.

Motivates Lenz’ law and helps students apply it. They recognize that F = qv × B cannot always be used to determine if there will be an induced current through a conducting loop.

Additionally, this dynamics first tutorial targets models, symmetry, systems, and vectors.

Introduces the relationship between changes in magnetic flux through a loop and induced emf. Faraday’s law is used to analyze a simple current meter and an electric motor.

Additionally, this dynamics first tutorial targets representations and symmetry.

The tutorial and tutorial homework focus on linear superposition of waves. Fixed-end and free-end reflection are covered.

Additionally, this dynamics first tutorial targets graphs, operational definitions, superposition, and symmetry.

Students investigate reflection and transmission at a boundary in one dimension. The tutorial provides background for refraction of waves.

Additionally, this dynamics first tutorial targets models and representations.

Students relate refraction of periodic waves to changes in the wavelength and phase that occur at the boundary between two media. Wavefront and ray representations are introduced.

Additionally, this dynamics first tutorial targets models and representations.

Students interpret a commonly used representations of an electromagnetic plane wave and examine how an antenna detects electromagnetic waves. They relate Faraday’s law to EM waves.

Additionally, this dynamics first tutorial targets models, representations, and vectors.

This is the first tutorial on geometrical optics. Students develop the ideas that light travels in a straight line and an extended source can be treated as a set of point sources.

Additionally, this dynamics first tutorial targets limits and models.

In this, the second tutorial on geometrical optics,.ray tracing is introduced. Parallax is introduced and used to locate images. Students develop the idea of image location.

Additionally, this dynamics first tutorial targets models.

This third tutorial on geometrical optics covers ray tracing for large curved mirrors. Image formation by multiple mirrors is also covered.

Additionally, this dynamics first tutorial targets models.

In this, fourth tutorial on geometrical optics, students use ray tracing in contexts for which formulas and principal rays cannot be used. Real and virtual images are introduced.

Additionally, this dynamics first tutorial targets models.

This is the fifth on geometrical optics. Observations help motivate focal points and principal rays. Students receive additional practice in drawing and interpreting ray diagrams.

Additionally, this dynamics first tutorial targets models.

This tutorial is the sixth in the sequence on geometrical optics. The emphasis is on helping students interpret ray diagrams in the context of lateral and angular magnification.

Additionally, this dynamics first tutorial targets models.

The first tutorial on physical optics helps students identify the conditions for maximum constructive interference and complete destructive interference.

Additionally, this dynamics first tutorial targets models and representations.

Students develop an analogy between two-source interference in the context of water and double-slit interference in the context of light. The homework introduces intensity graphs.

Additionally, this dynamics first tutorial targets models and representations.

Students extend what they have learned about interference of light passing through two narrow slits to light passing through an arbitrary number of evenly- spaced identical slits.

Additionally, this dynamics first tutorial targets models and representations.

In this tutorial, students develop and apply a simple model for single-slit diffraction based on multiple-slit interference.

Additionally, this dynamics first tutorial targets models and representations.

Students develop a simple conceptual model for combined interference and diffraction. They revisit and extend basic ideas from double-slit interference and single-slit diffraction.

Additionally, this dynamics first tutorial targets models and representations.

Students are led to develop a functional understanding of thin-film interference they can use to solve problems about thin-film interference without relying on memorized equations.

Additionally, this dynamics first tutorial targets models and representations.

This tutorial provides an introduction to polarizing filters.

Additionally, this dynamics first tutorial targets models and representations.

The tutorial is intended to help students understand how pressure varies in an incompressible liquid.

Additionally, this dynamics first tutorial targets operational definitions and representations.

Students use the linear variation of pressure with depth to find that the net force by a fluid doesn't depend on depth/object mass and relate it to the weight of fluid displaced.

Additionally, this dynamics first tutorial targets models and representations.

Students are guiding in applying pressure, temperature, and volume to an ideal gas. A focus is on the fact that the behavior of an ideal gas is independent of the type of gas.

Additionally, this dynamics first tutorial targets operational definitions and representations.

Students are led to distinguish between heat transfer and work as ways of changing the energy of an ideal gas. Incorrect ideas about heat and temperature are also addressed.

Additionally, this dynamics first tutorial targets operational definitions.

The tutorial covers the wave properties of electrons in the context of a two-slit interference experiment.

Additionally, this dynamics first tutorial targets models and operational definitions.

The tutorial covers the relationships in the photoelectric effect between potential difference, current, and work function in the circuit, and intensity and frequency of incident light. Emphasis is placed on understanding the experimental apparatus.

Additionally, this dynamics first tutorial targets models.