Session 3 - Analysis I

Functions, derivatives, and integrals as usable tools, ending on the one differential equation everything later rests on.

Topics covered

• Functions, the exponential, and the time constant
• Derivatives: the rules, and what the sign tells you
• Integrals and the fundamental theorem
• A first differential equation: its fixed point and stability
• The learning and forgetting curves
• Simulating with Euler’s method

Materials

• 📊 Slides
• ✏️ Exercise sheet
• ✅ Solutions