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Measurements and Systems of Units
Order Description
1 Express and manipulate numbers in scientific notation.
2 Explain the various unit systems and conversion of units.
3 Explain dimensional analysis.
4 Explain significant figures and uncertainties.
5 Explain the difference between vector and scalar quantities, and the properties of
vectors.
6 Perform vector addition and subtraction.
7 Understand and use coordinate systems.
8 Understand and apply basic trigonometry.
Newton's Laws
Order Description
1 State Newton's laws of motion.
2 Calculate the gravitational attraction between two bodies.
3 Distinguish between force and mass and define the units of each.
4 Define static and kinetic frictional forces.
5 Solve dynamics problems involving constant forces.
Work, Energy, and Power
Order Description
1 Define work, potential energy, kinetic energy and power, and identify the units of
each.
2 State and apply the law of conservation of energy.
3 Compute the work done by both constant and varying forces.
4 Use the work-energy theorem in solving problems.
5 Compute the translational kinetic energy of a body.
6 Compute the elastic potential energy stored in a spring.
7 Compute the gravitational potential energy of an object.
8 Compute the power given appropriate parameters.
Momentum and Collisions
Order Description
1 Define momentum and identify its units.
2 Define impulse and identify its units.
3 State the law of conservation of momentum.
4 Solve elastic and inelastic collision problems.
One- and Two-Dimensional Motion
Order Description
1 Define displacement and identify its units.
2 Define both velocity and speed, and identify their respective units.
3 Define acceleration, and identify its units.
4 Solve problems involving uniformly accelerated motion and free falling objects.
Circular Motion and Law of Gravity
Order Description
1 Define angular displacement, angular velocity, and angular acceleration, and
identify their respective units.
2 Solve problems involving circular motion.
3 Define and calculate centripetal force and centripetal acceleration.
4 Understand and calculate the gravitational attraction between two bodies.
Rotational Dynamics and Static Equilibrium
Order Description
1 Define torque and identify its units.
2 Compute the torque generated by a force about an axis.
3 Determine the moment of inertia of a rigid body about a given axis.
4 State the conditions of mechanical equilibrium.
5 Solve problems involving systems in the state of mechanical equilibrium.
6 State the law of conservation of angular momentum.
7 Solve problems with conservation of angular momentum.
Elasticity Theory; Harmonic Motion
Order Description
1 Define stress and identify its units.
2 Calculate stress.
3 Define strain and identify its units.
4 Calculate the moduli of elasticity.
5 Solve problems involving simple harmonic motion.
Theory of Heat and Heat Transfer
Order Description
1 Explain the difference between the terms heat energy and internal energy.
2 Identify the units of heat energy.
3 Explain the concepts of specific heat capacity, heat of fusion, and heat of
vaporization
4 Solve calorimetry problems.
5 Solve problems on thermal expansion with the expansion coefficients.
6 Explain the three basic avenues of heat transfer.
Thermodynamics
Order Description
1 Explain the concept of a state variable.
2 Solve problems using the first law of thermodynamics.
3 Explain the four basic thermodynamic processes and the concept of a cyclic
thermodynamic process.
4 Demonstrate the use of P-V diagrams.
5 Understand the operation of heat engines and the definition of thermal efficiency.
6 Determine the efficiency of a heat engine.
7 Explain the second law of thermodynamics.
Wave Motion
Order Description
1 Define the terms used to describe the properties of waves.
2 Explain wave reflection and the principle of superposition.
3 Explain standing waves.
4 Compute wavelength, frequency, and speed of various types of waves.
5 Explain the difference between transverse and longitudinal waves.
6 Explain the relationship between amplitude, energy, intensity, and power
associated with a mechanical wave.
Sound
Order Description
1 Explain the nature of sound as a compressional wave.
2 Compute the speed of sound given appropriate data.
3 Explain the concepts of intensity and intensity level.
4 Explain the phenomenon of beats and beat frequency.
5 Compute the resonant frequency of a system given appropriate data.
6 Explain the Doppler effect and compute frequency shift given appropriate data.
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