PHYS 12000: General Physics: Mechanics (Calculus-Based)

Calculus-based introduction to classical mechanics with laboratory: vector kinematics, particle dynamics, conservation of energy and momentum, rotational kinematics and torque, oscillatory motion, and wave propagation.

• Limits and continuity: formal epsilon-delta definitions, one-sided limits, and indeterminate forms via L'Hôpital's Rule in PHYS 12000
• Differential calculus techniques: product, quotient, chain rules, and implicit differentiation
• Applications of derivatives: critical points, extreme value theorem, concavity, inflection points, and curve sketching
• Applied optimization and related rates: geometric rate modeling, profit maximization, and Mean Value Theorem in General Physics: Mechanics (Calculus-Based)