This course introduces differential and integral calculus with a focus on elementary functions and applications in business, economics, and the social sciences. Emphasis is placed on practical modeling and problem-solving rather than theoretical depth.
Prerequisites
MAT 151 with a grade of “C” or higher or math placement as established by District policy.
1. Demonstrate the interpretation and application of derivatives to represent instantaneous rates of change across diverse contexts.
2. Utilize definite integrals to determine total change over a specified interval.
3. Employ differentiation rules to efficiently compute derivatives of algebraic and elementary functions.
4. Apply derivatives to analyze and solve problems related to optimization, curve sketching, and the behavior of functions.
5. Utilize definite integrals to address real-world problems involving accumulation and area.