Week 4

In Calculus II, the students do the following:

• The inverse trigonometric function (definition of inverse trigonometric functions) Section 5.6
• Derivative and integrals involving inverse trigonometric functions (optimization application, generalized integration formulas for inverse trigonometric functions) Section 5.6
• Volume (method of cross sections, volume of a solid with known cross-sectionsl area - pg. 385) Section 6.1
• Method of Cylindrical Shells - pg. 391 (Table 6.2 pg. 392 is helpful) Section 6.1
• Arc Length of a Graph (pg. 398) Section 6.2
• Area of a Surface of a Revolution (pg. 400)
• Work (work done by a constant force pg. 404, work done by a variable force pg. 405, Hooke's law as an application of the work formula) Section 6.3
• Fluid Pressure and Force - pg. 407 (fluid hydrostatic force - pg. 408) Section 6.3
• Centroid and Moment of a Plane Region Section 6.3
• Volume Theorem of Pappus (pg. 412)

In Physics II, the students do the following:

• Resistors in Series and in Parallel Ch. 27, Section 1
• Kirchoff's Rule (junction rule and loop rule) Ch. 27, Section 2
• Electrical Measuring Instruments (d'Arsonval galvanometer, shunt resistor, voltmeter, ohmmeter, potentiometer) Ch. 27, Section 3
• Power Distribution Systems: A Case Study in Circuit Analysis (practical household and automotive electric-power distribution systems) Ch. 27, Section 5
• Magnetism Ch. 28, Section 1
• Magnetic Fields Ch. 28, Section 2
• Magnetic Field Lines and Magnetic Flux (magnetic flux through the surface and out of a closed surface) Ch. 28, Section 3
• Applications of Motion of Charged Particles (velocity selector, Thompson's e/m Experiment, mass spectrometer, isotopes) Ch. 28, Section 5
• Magnetic Force on a Current-Carrying Conductor (the force on a segment of wire) Ch. 28, Section 6
• Force and Torque on a Current Loop (magnetic moment, solenoid, potential energy) Ch. 28, Section 7
• Magnetic Field of a Moving Charge - pg. 806 (source point, field point) Ch. 29, Section 1
• Magnetic Field of a Straight Conductor Ch. 29, Section 3
• Force Between Parallel Conductors Ch. 29, Section 4
• Magnetic Field of a Circular Loop Ch. 29, Section 5

Links:

1. Immediate Connections:
   • Work (Section 6.3 - Calculus)
2. Long Range Connections:
   • The force on a charged particle as a cross product (pg. 868 - University Physics)
   • magnetic flux as a surface integral (pg. 871 - University Physics)
   • Magnetic force on a current-carrying conductor (cross product) (pg. 766 - University Physics)