The following examples refer to Bradley's Calculus.
An integral is evaluated using Reimann sums and then the definite integral and the fundamental theorem of Calculus on page 278 making integrals easier for students.
Examples:
- pg. 286 (Section 4.3): #61, #8
The escape velocity of a projectile is introduced on pages
291-293 although it is not covered in the calculus curriculum
The average value of a function is used in the following
example which involves the average speed of traffic.
Examples:
- pg. 297 (Section 4.5): Example #2
The theorems discussed in this week can be applied to Physics.
Examples:
- pg. 302 (Section 4.5): #35
Numerical integration helps students grasp the concept of integration
Examples:
- pg. 308 (Section 4.6): #23
The following examples refer to Young and Freedman's University Physics.
When computing the total electric flux, one must use the surface integral.
Examples:
- pg. 725 (23-4)
Gauss's Law can be used to find the electric-field magnitude at a point P inside a closed surface at a given distance form the center.
Examples:
- pg. 718 (Examples 23-9)
- pg. 727 (23-26)
The work done by an external force is the potential and can be expressed as an integral.
Examples:
- pg. 745 (24-10)
- pg. 762 (24-3)
The following examples is of integration by tables.
Examples:
- pg. 746 (24-12)
The gradient is the sum of the components of the derivative of a function
Examples:
- pg. 750 (24-13, 24-14)
