Week 5

In Calculus I, the students do the following:

• Extreme Values of a Continuous Function (extreme value theorem, relative extrema, critical value theorem, absolute extrema) Section 3.1
• Mean Value Theorem (uses of the mean value theorem) Section 3.2
• First Derivative Test (using test for graphing continuous functions) Section 3.3
• Concavity and the Second Derivative Test (inflection point, curve sketching with the second derivative) Section 3.4

In Physics I, the students do the following:

• Momentum,Impulse, Conservation of Momentum Ch. 8, Sections 1-5
• Inelastic and Elastic Collisions Ch. 8, Sections 1-5
• Torque, Static Equilibrium Ch. 10, Section 2; Ch. 11, Sections 1-4

Links:

1. Immediate Connections:
   • Page 173 Ex. 9 in Calculus - Maximum and Minimum velocity of a moving particle
2. Long Range Connections:
   • graph of elastic potential energy for an ideal spring
   • impulse as an integral