Exponential and Logarithmic Functions is a comprehensive mathematics course that explores how quantities grow, decay, and change multiplicatively over time. Students develop a strong understanding of exponential and logarithmic functions as related inverse functions while learning to represent, analyse, transform, and apply them in mathematical and real-world contexts. Beginning with the foundations of exponential functions, the course progresses through logarithms, equations and inequalities, advanced growth models, and applications across science, finance, technology, and calculus.
Throughout the course, students investigate exponential growth and decay, graph transformations, logarithmic properties, natural logarithms, continuous compounding, logistic growth, and mathematical modelling. They learn to solve exponential and logarithmic equations, interpret key features of graphs, compare different families of functions, and evaluate the strengths and limitations of mathematical models. Real-world applications include compound interest, population growth, radioactive decay, pH, sound intensity, depreciation, and technological change. By the end of the course, students will be well prepared for calculus and for further study in mathematics, physics, chemistry, biology, economics, engineering, computer science, and other STEM-related fields.
- Profesor: Mr. Young