Mathematics

# MATH 1251: Calculus and Differential Equations for Biology 1

Lecture - 4 credits

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CE

- Begins with the fundamentals of differential calculus and proceeds to the specific type of differential equation problems encountered in biological research.
- Presents methods for the solutions of these equations and how the exact solutions are obtained from actual laboratory data.
- Topics include differential calculus: basics, the derivative, the rules of differentiation, curve plotting, exponentials and logarithms, and trigonometric functions; using technology to understand derivatives; biological kinetics: zero- and first-order processes, processes tending toward equilibrium, bi- and tri-exponential processes, and biological half-life; differential equations: particular and general solutions to homogeneous and nonhomogeneous linear equations with constant coefficients, systems of two linear differential equations; compartmental problems: nonzero initial concentration, two-compartment series dilution, diffusion between compartments, population dynamics; and introduction to integration.

Begins with the fundamentals of differential calculus and proceeds to the specific type of differential equation problems encountered in biological research.

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