MATH 142: Calculus/Integration

The second installment in the calculus sequence focusing on integral calculus and introductory differential equations. Covers Riemann sums, the Fundamental Theorem of Calculus, techniques of integration, area/volume computations, and improper integrals.

• Limits and continuity: formal epsilon-delta definitions, one-sided limits, and indeterminate forms via L'Hôpital's Rule in MATH 142
• 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 Calculus/Integration