Lectures related to Exponential growth

Exponential Functions

Explores the properties of exponential functions, including growth, decay, and their relationship with logarithmic functions.

Population Growth and Resource Consumption

Explores growth models, resource consumption, and population dynamics, including real-world applications.

Exponential Functions: Important Examples

Explores important examples of exponential functions and their limits, including lim (1 + ²)² = 0 and lim ex as x→∞.

Theorem of the Two Gendarmes: Convergence and Limits

Explores convergence theorems, properties of limits, and infinite behaviors in sequences.

Harmonic Oscillations: Superposition

Explores the principle of superposition for harmonic oscillations and provides geometric interpretations and examples.

Non-linear Systems in 2D: Predator-Prey Models

Covers non-linear systems in 2D, focusing on predator-prey models and stability analysis of fixed points.

Exponential Functions: Properties and Logarithms

Explores exponential functions, their properties, and the relationship with logarithmic functions.

Trigonometric Equations: Sinus and Cosinus

Covers the resolution of simple trigonometric equations involving sinus and cosinus functions.

Difference Equations

Covers the concept of difference equations and properties of causal vs. stable systems.

Trigonometric Formulas: Addition Theorem

Explores trigonometric addition theorem, double angles, and tangent properties.

Trigonometric Functions: Right Triangle

Introduces trigonometric functions in right triangles, exploring angles, ratios, and special values.

Real Estate Valuation Methods

Explores real estate valuation methods, linear vs. exponential growth, and the impact of debt and risk.

Understanding Growth Rates: IPAT Equation

Explores growth rates in GDP per capita and the IPAT equation for analyzing environmental impact.

Exponential Functions: Properties and Logarithms

Covers the properties of exponential and logarithmic functions.

Continuity of Trigonometric Functions

Explores the continuity of trigonometric functions and demonstrates specific limits and propositions related to them.

Correspondence of Pole Position and Responses

Explores how pole positions in a complex plane influence system responses.

Ergodic properties of low complexity symbolic systems

Explores the influence of complexity on ergodic properties of symbolic systems, presenting the Curtis-Hedlund-Lyndon Theorem and constructions of minimal subshifts.

Microbial Growth: Understanding Cell Division and Measurement Techniques

Discusses microbial growth, cell division, measurement techniques, and applications in environmental microbiology.

Canonical Transformations: Trajectories and Integrable Systems

Explores trajectories in integrable systems and the challenges of making predictions.

Fluid Mechanics: Boundary Layer Instability and Transition

Explores boundary layer instability, transition, and flow nonlinearities in fluid mechanics.