Chabot College
Fall 2010
Course Outline for Physics 22B
CALCULUS APPLICATIONS FOR COLLEGE PHYSICS II
Catalog Description:
22B - Calculus Application for College Physics II
1 units
A supplementary course using calculus as a tool for understanding topics covered in college level physics
Taken concurrently with Physics 2B to satisfy the physics requirements for life science majors at
universities that require a calculus-based physics sequence. Prerequisite: Mathematics 16, or
Mathematics 2 (all completed with a grade of "C" or higher); Physics 22A (completed with a grade of "C"
or higher) and concurrent enrollment in Physics 2B. I hour lecture.
(Typical contact hours: lecture 17.5 hours)
Prerequisite Skills:
Before entering the course the student should be able to:
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find antiderivatives using integration by parts and tables of integrals;
evaluate improper integrals;
find partial derivatives;
solve optimization and constrained optimization problems involving functions of two variables;
evaluate double integrals;
find derivatives and integrals of trigonometric functions;
solve applied problems involving differentiation or integration of trigonometric functions;
solve simple differential equations;
solve problems involving exponential growth/decay, limited growth, and logistic growth;
approximate functions with Taylor Polynomials;
find event probabilities by integrating probability density functions;
find expected value, variance, and standard deviation of continuous random variables;
recognize and explain calculus principles contained in various physics topics, including:
a. the concept of the limit;
b. the derivative and its relation to velocity and acceleration as the slopes of the tangent to a
curve;
c. integration as the inverse of differentiation as it applies to the development of kinematics
equations;
d. the relation between the area under the curve and the definite integral with applications to
kinematics and thermodynamics;
e. line, surface, and volume integrals in connection with work and energy, Gauss' law, center of
mass, and gravitational potential energy;
f. the solution of some elementary differential equations and the definition of the partial
derivative in connection with simple harmonic motion and mechanical waves;
14. apply these concepts to a variety of problems in Newtonian mechanics, fluids, thermodynamics,
a. Vibrations, waves, and electrostatics.
Expected Outcomes for Students:
Upon completion of the course, the student should be able to:
1. recognize and explain calculus principles in relationship to various physics topics, including:
a. the concept of the limit and line, surface, and volume integrals in connection with
b. electromagnetism, circuits, Electromagnetic waves optics and modern physics;
c. the solution of some elementary differential equations and the definition of the partial
derivative in
d. connection with simple harmonic motion and electromagnetic and quantum mechanical
waves;
2. apply these concepts to a variety of problems in electromagnetism, circuits, Electromagnetic
3. Waves, optics, modern physics.
Chabot College
Course Outline for Physics 22B, Page 2
Fall 2010
Course Content:
1. Current and resistance
a. OHM's law
b. Resistivity
c. Resistors in series and parallel
d. RC circuits
2. Electromagnetism
a. Magnetic field
b. Force in a magnetic field, force on a current segment
c. Current loops
d. Sources of magnetic fields
e. Magnets and poles, earth's magnetism
f. Induced electromotive force
g. Electromagnetic radiation
3. Applied electricity
a. Meters, motors and generators
b. Back emf, eddy currents
c. Transformers, impedance in coil and capacitor
d. Thermoelectricity
e. Electromagnetic waves
4. Geometrical optics
a. Huygens' principle, refraction and reflection
b. Total reflection
c. Ray tracing, thin lenses and mirrors
5. Wave optics
a. Corpuscular theory of light
b. Interference, the grating
c. Diffraction by a single slit
d. Applications of interference, Michelson's interferometer
e. Polarization
f. Double refraction and optical activity
6. Applied optics
a. Camera
b. Human eye, physiology
c. Magnifier, microscope, telescope
d. Spectroscope
e. Description of laser and its applications
7. Modern Physics
a. Viewpoint of the classical physicist
b. Michelson-Morley experiment
c. Discoveries at the close of the nineteenth century
d. Einstein and special relativity
8. The outer atom
a. Charge of the electron, electron mass
b. The photoelectric effect
c. Emission and absorption spectra
d. X-rays, the Compton effect
e. Duality of light and matter
f. Heisenberg's uncertainty principle
9. Atomic physics
a. Bohr theory
b. Debroglie waves
c. Quantum mechanics
10. The nucleus
a. Nature of radioactivity, discoveries
b. Nuclear atom
Chabot College
Course Outline for Physics 22B, Page 3
Fall 2010
c. Nuclides, stable and unstable, natural and artificial
d. Experimental techniques, transmutations
11. Applied nuclear physics
a. Uses of radioactivity
b. Particle accelerators
c. Fission and fusion
d. High-energy physics, cosmic rays
Methods of Presentation:
1. Lectures
2. Problem solving with student participation
3. Discussion
Assignments and Methods of Evaluating Student Progress:
1. Typical Assignments
a. (i) What is the energy dissipated as a function of time in a circular loop of 18 turns having
a radius of 10.0 cm and a resistance of 2.0 ohms if the plane of the loop is perpendicular
to a magnetic field given by magnitude B  B0 e
t /
, where Bo = 0.50 T and τ= 0.10 s?
(ii) Evaluate your result in the limit of small times such that t << τ. Hint: expand the
function in a Taylor Series about t= 0 and neglect terms of higher order than the first
term.
b. Derive the T4 dependence of the rate at which energy is radiated by integrating Planck’s
radiation law over all the wavelengths; that is show that
 I ( , T ) d   T
4
2. Methods of Evaluating Student Progress
a. Quizzes
b. Exams
c. Homework
d. Final Examination
Textbook(s) (Typical):
Physics for Scientists & Engineers with Modern Physics, Douglas C. Giancoli, Prentice Hall, 4th
edition, 2008
Special Student Materials:
None.