Week 3

In Calculus I, the students do the following:

• Tangent Lines Leading to the Definition of a Derivative (equation of a line tangent to a curve at a point) Section 2.1
• Definition of a Derivative
• Techniques of a differentiation (basic rules to find a derivative, derivatives of the trigonometric functions) Sections 2.2-2.3

In Physics I, the students do the following:

• Using Newton's Laws (free body diagram - tension, weight, normal force, friction, force) Ch. 4, Section 6
• Applications of Newton's Laws (equilibrium, problems in dynamics, coefficients of kinetic and static friction) Ch. 5, Sections 1-3
• Circular Motion Ch. 5, Section 4; Ch. 3, Section 4

Links:

1. Immediate Connections:
   • velocity and acceleration as derivatives
   • instantaneous velocity along projectile motion (tangents)
   • relate F=ma to the derivative of velocity (acceleration)
   • circular motion (tangents)
2. Long Range Connections:
   • Newton's Laws of Motion incorporated into rates of change