MATH 1007: Elementary Calculus I

An introductory single-variable calculus course for science and general degree programs. Focuses on limits, rates of change, derivative rules, transcendental functions, optimization problems, curve plotting, definite/indefinite integrals, and basic integration techniques.

• Limits and continuity: formal epsilon-delta definitions, one-sided limits, and indeterminate forms via L'Hôpital's Rule in MATH 1007
• 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 Elementary Calculus I