Text: Calculus, fourth edition, by Robert A. Adams
• Functions and graphs (P.4)
• Defining and graphing functions in Maple (CAS #1)
• New functions from old (pg.22, P.5)
• The trigonometric functions (P.6)
• Studying properties of functions in Maple (CAS #1)
• Introduction to limits and continuity (§1.1)
• Limits of functions (§1.2)
• Limits at infinity and infinite limits (§1.3)
• Exploring limits in Maple (CAS #1)
• Continuity (§1.4)
• Tangent lines and their slopes (§2.1)
• The derivative (§2.2)
• Conceptual introduction to the derivative in Maple (CAS #2)
• Differentiation rules (§§2.3, 2.4)
• Derivatives of trigonometric functions (§2.5)
• The Mean-Value Theorem (§2.6)
• Higher-order derivatives, implicit differentiation (§§2.8, 2.9)
• Differential equations, IVPs, and the indefinite integral (§2.10)
• CSC A introduced (Rates of Change: Torricelli’s Law)
• Velocity and acceleration (§2.11)
• CSC A continued
• CSC A due
• Exponentials, logarithms, and their derivatives (§§3.1, 3.2, 3.3)
• Growth and decay (§3.4)
• Slope fields and Euler’s method (pg.994)
• The inverse trigonometric functions (§3.5)