Session 5 - Differential Equations

The analysis block in one sitting: functions, derivatives, integrals, and the one differential equation that models learning and forgetting.

Topics covered

• What a function is; the exponential and its time constant
• Derivatives: the slope, the rules, and reading the sign
• Integrals: adding change back up, and the fundamental theorem
• Functions of several variables: contour maps and partial derivatives
• Vector-valued functions: a path and its velocity
• The linear differential equation and its stability
• The learning and forgetting curves

Materials

• 📊 Slides
• ✏️ Exercise sheet
• ✅ Solutions