| 1 | Understanding Basic Concepts: Students will be able to understand how mathematical models (especially functions, limits, and continuity) are used to describe biological and genetic systems. |
| 2 | Mastering the Concept of the Derivative: Students will gain the ability to take the derivative of various types of functions (algebraic, trigonometric, exponential, and logarithmic) and understand that the derivative is a measure of rate of change. |
| 3 | Applied Problem Solving: Students will be able to solve engineering problems (e.g., determining optimal growth conditions in a cell culture, achieving maximum yield with minimum material, modeling drug efficacy) using derivatives. |
| 4 | Mastering the Concept of the Integral: Students will understand the integral as a means of measuring cumulative change and will be able to apply integration techniques. |
| 5 | Applications of the Integral: Students will be able to calculate the area under the curve, volume, and total "accumulation" in a biological process (e.g., total biomass, amount of gene expression, total hormone release over time) using the definite integral. |
| 6 | Modeling with Differential Equations: Students will be able to establish, solve, and interpret first-order differential equations to model agricultural and genetic processes (e.g., bacterial population growth, nutrient depletion, radioactive decay). |
| 7 | Computer-Aided Computing: Students will be able to use mathematical software (e.g., MATLAB, Python, R) as a tool to visualize functions, perform complex calculations, and analyze experimental data. |