| 1 | Grasp the concepts of functions, limits, and continuity as the foundation for modeling change and continuous processes in animal science, such as growth rates and environmental conditions. |
| 2 | Master Differential Calculus: Become proficient in calculating derivatives of various functions and understand the derivative as a tool for measuring instantaneous rates of change, which is essential for analyzing growth, metabolic rates, and economic margins |
| 3 | Apply Derivatives to Real-World Problems: Use differentiation to solve applied problems in optimization (e.g., least-cost feed formulation, maximizing production efficiency) and related rates (e.g., predicting changes in physiological parameters) |
| 4 | Master Integral Calculus: Become proficient in integration techniques to determine accumulated quantities, such as total feed consumption over time or total biomass produced |
| 5 | Apply Integration to Practical Scenarios: Use integration to compute areas, volumes, and other quantities relevant to designing facilities (e.g., volume of a silo, area of a pen), managing resources, and analyzing data trends |
| 6 | Formulate and Solve Dynamic Models: Construct and solve basic differential equations to model dynamic processes central to animal production, including population growth, spread of diseases, and decay of waste products or pharmaceuticals |
| 7 | Utilize Computational Tools: Employ mathematical software to visualize concepts, perform complex calculations, and analyze datasets, thereby enhancing problem-solving capabilities and technological proficiency in the field |