Week 1

In Calculus II, the students do the following:

• Area as the limit of a sum (pg. 261) Section 4.1
• Summation Notation (sigma notation, basic rules for sums) Section 4.1
• Area Using Summation Formulas
• Reimann Sums (pg. 267) Section 4.2
• The Definite Integral (pg. 268) (parts of definite integral; integrand interval of integration; lower and upper limits of integration) Section 4.2
• Area as an Integral (pg. 271); Distance as an Integral (pg. 272) Section 4.2
• Properties of the Definite Integral (pg. 274)

In Physics II, the students do the following:

• Electric Charge Ch. 22, Section 1
• Conductors and Insulators Ch. 22, Section 2
• Conservation and Quantization of Charge (intro to components of an atom) Ch. 22, Section 3
• Coulomb's Law (pg. 613) Ch. 22, Section 4
• Electric Field and Electric Forces (pg. 616-617)
• Electric-Field Calculations (linear charge density, surface charge density, and volume charge density)
• Electric Field Lines

Links:

1. Immediate Connections:
   • Integrals such as those in Examples 22-10 and 22-11 on pgs. 686-687 (University Physics) can be better understood
2. Long Range Connections:
   • The electric field is the limit of the electrical force over the test charge as the test charge approaches zero
   • The direction of the electric field at any point is tangent to the electric field line through that point.