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Mathematical Modeling in Chemistry and Biology
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Nonlinear Systems: Lotka-Volterra Model
Explores the dynamics of predator-prey populations using the Lotka-Volterra model in real-world scenarios.
Chemical Reaction Mechanisms: Chain React
Explores reaction mechanisms, chain reactions, catalysis, enzyme catalysis, galvanic cells, and electromotive force in batteries.
Equilibrium Shifts: Le Châtelier's Principle
Explores how equilibrium shifts in response to changes, with examples like the Haber-Bosch process and Clausius-Clapeyron equation.
Conservation of Mechanical Energy: Stability and Equilibria
Explores the conservation of mechanical energy and stability of equilibrium points in dynamic systems, illustrated with examples like the mathematical pendulum and looping motion.
Chemical Equilibrium: Concepts and Calculations
Explores chemical equilibrium, factors influencing balance, equilibrium constants, and reaction kinetics.
Structural Mechanics Principles: Equilibrium and Stability
Explores the principles of structural mechanics, including internal loads, equilibrium stability, and the superposition principle.
Chemical Equilibrium: Reaction Mechanisms
Delves into chemical equilibrium, equilibrium concentrations, reaction mechanisms, and concentration sketches in consecutive reactions.
Chemical Equilibria and Reactivity
Delves into chemical equilibria, electrolysis, reaction kinetics, and chain reactions.
Dynamic Systems in Biology
Covers dynamic systems in biology, including trajectories, stability, and qualitative analysis.