Calculus — O Level Additional Mathematics 4037

Calculus — O Level Additional Mathematics 4037: 4 chapters and 242 lesson cards — AI teacher explanations, worked examples, diagrams, common mistakes and exam-style questions, aligned to the Cambridge O Level Additional Mathematics 4037 syllabus.

Topics

  1. 14.1–14.4 Differentiation — Introduction · Key ideas — The derived function · 🧑‍🏫 Teacher's explanation · 📖 Definitions · 🔍 Worked example — Easy · 🔍 Worked example — Standard · 🔍 Worked example — Exam-style · ⚠️ Common errors · 🧠 Quick check 1 · 🧠 Quick check 2 · 🎯 Exam question · Key ideas — Standard derivatives · 🧑‍🏫 Teacher's explanation · 📖 Definitions · 🔍 Worked example — Easy · 🔍 Worked example — Standard · 🔍 Worked example — Exam-style · ⚠️ Common errors · 🧠 Quick check 1 · 🧠 Quick check 2 · 🎯 Exam question · Key ideas — The chain rule · 🧑‍🏫 Teacher's explanation · 📖 Definitions · 🔍 Worked example — Standard · 🔍 Worked example — Exam-style · ⚠️ Common errors · 🧠 Quick check 1 · 🧠 Quick check 2 · 🎯 Exam question · Key ideas — The product rule · 🧑‍🏫 Teacher's explanation · 📖 Definitions · 🔍 Worked example — Standard · 🔍 Worked example — Exam-style · ⚠️ Common errors · 🧠 Quick check 1 · 🧠 Quick check 2 · 🎯 Exam question · Key ideas — The quotient rule · 🧑‍🏫 Teacher's explanation · 📖 Definitions · 🔍 Worked example — Standard · 🔍 Worked example — Exam-style · ⚠️ Common errors · 🧠 Quick check 1 · 🧠 Quick check 2 · 🎯 Exam question · Worked examples · 🔍 Worked example — Standard · 🔍 Worked example — Exam-style · ⚠️ Common errors · Common mistakes · Practice
  2. 14.5–14.9 Applications of Differentiation — Introduction · Key ideas — Tangents and normals · 🧑‍🏫 Teacher's explanation · 📖 Definitions · 🔍 Worked example — Easy · 🔍 Worked example — Standard · 🔍 Worked example — Exam-style · ⚠️ Common errors · 🧠 Quick check 1 · 🧠 Quick check 2 · 🎯 Exam question · Key ideas — Stationary points and their nature · 🧑‍🏫 Teacher's explanation · 📖 Definitions · 🔍 Worked example — Easy · 🔍 Worked example — Standard · 🔍 Worked example — Exam-style · ⚠️ Common errors · 🧠 Quick check 1 · 🧠 Quick check 2 · 🎯 Exam question · Key ideas — Connected rates of change · 🧑‍🏫 Teacher's explanation · 📖 Definitions · 🔍 Worked example — Easy · 🔍 Worked example — Standard · 🔍 Worked example — Exam-style · ⚠️ Common errors · 🧠 Quick check 1 · 🧠 Quick check 2 · 🎯 Exam question · Key ideas — Small increments and approximations · 🧑‍🏫 Teacher's explanation · 📖 Definitions · 🔍 Worked example — Easy · 🔍 Worked example — Standard · 🔍 Worked example — Exam-style · ⚠️ Common errors · 🧠 Quick check 1 · 🧠 Quick check 2 · 🎯 Exam question · Key ideas — Practical maxima and minima · 🧑‍🏫 Teacher's explanation · 📖 Definitions · 🔍 Worked example — Easy · 🔍 Worked example — Standard · 🔍 Worked example — Exam-style · ⚠️ Common errors · 🧠 Quick check 1 · 🧠 Quick check 2 · 🎯 Exam question · Worked examples — Example 1: stationary points · 🔍 Worked example — Easy · 🔍 Worked example — Standard · 🔍 Worked example — Exam-style · ⚠️ Common errors · Worked examples — Example 2: normal to an exponential curve · 🔍 Worked example — Easy · 🔍 Worked example — Standard · 🔍 Worked example — Exam-style · ⚠️ Common errors · Worked examples — Example 3: small increments · 🔍 Worked example — Easy · 🔍 Worked example — Standard · 🔍 Worked example — Exam-style · ⚠️ Common errors · Worked examples — Example 4: connected rates · 🔍 Worked example — Easy · 🔍 Worked example — Standard · 🔍 Worked example — Exam-style · ⚠️ Common errors · Worked examples — Example 5: the largest box · 🔍 Worked example — Easy · 🔍 Worked example — Standard · 🔍 Worked example — Exam-style · ⚠️ Common errors · Common mistakes · Practice
  3. 14.10–14.13 Integration — Introduction · Key ideas — Reverse differentiation · 🧑‍🏫 Teacher's explanation · 📖 Definitions · 🔍 Worked example — Easy · 🔍 Worked example — Standard · 🔍 Worked example — Exam-style · ⚠️ Common errors · 🧠 Quick check 1 · 🧠 Quick check 2 · 🎯 Exam question · Key ideas — Standard integrals · 🧑‍🏫 Teacher's explanation · 📖 Definitions · 🔍 Worked example — Exam-style · ⚠️ Common errors · 🧠 Quick check 1 · 🧠 Quick check 2 · 🎯 Exam question · Key ideas — "Hence" integrals · 🧑‍🏫 Teacher's explanation · 📖 Definitions · 🔍 Worked example — Easy · 🔍 Worked example — Standard · 🔍 Worked example — Exam-style · ⚠️ Common errors · 🧠 Quick check 1 · 🧠 Quick check 2 · 🎯 Exam question · Key ideas — Definite integrals · 🧑‍🏫 Teacher's explanation · 📖 Definitions · 🔍 Worked example — Easy · 🔍 Worked example — Standard · 🔍 Worked example — Exam-style · ⚠️ Common errors · 🧠 Quick check 1 · 🧠 Quick check 2 · 🎯 Exam question · Key ideas — Areas · 🧑‍🏫 Teacher's explanation · 📖 Definitions · 🔍 Worked example — Easy · 🔍 Worked example — Standard · 🔍 Worked example — Exam-style · ⚠️ Common errors · 🧠 Quick check 1 · 🧠 Quick check 2 · 🎯 Exam question · Worked examples · 🔍 Worked example — Easy · 🔍 Worked example — Exam-style · ⚠️ Common errors · Common mistakes · Practice
  4. 14.14–14.15 Kinematics — Introduction · Key ideas — The chain s → v → a · 🧑‍🏫 Teacher's explanation · 📖 Definitions · 🔍 Worked example — Easy · 🔍 Worked example — Standard · 🔍 Worked example — Exam-style · ⚠️ Common errors · 🧠 Quick check 1 · 🧠 Quick check 2 · 🎯 Exam question · Key ideas — Key phrases · 🧑‍🏫 Teacher's explanation · 📖 Definitions · 🔍 Worked example — Easy · 🔍 Worked example — Standard · 🔍 Worked example — Exam-style · ⚠️ Common errors · 🧠 Quick check 1 · 🧠 Quick check 2 · 🎯 Exam question · Key ideas — Distance versus displacement · 🧑‍🏫 Teacher's explanation · 📖 Definitions · 🔍 Worked example — Standard · ⚠️ Common errors · 🧠 Quick check 1 · 🧠 Quick check 2 · 🎯 Exam question · Key ideas — The five graphs · 🧑‍🏫 Teacher's explanation · 📖 Definitions · 🔍 Worked example — Easy · 🔍 Worked example — Standard · 🔍 Worked example — Exam-style · ⚠️ Common errors · 🧠 Quick check 1 · 🧠 Quick check 2 · 🎯 Exam question · Worked examples — Example 1: polynomial velocity · 🔍 Worked example — Easy · 🔍 Worked example — Exam-style · ⚠️ Common errors · Worked examples — Example 2: the graphs · 🔍 Worked example — Easy · 🔍 Worked example — Standard · 🔍 Worked example — Exam-style · ⚠️ Common errors · Worked examples — Example 3: exponential and trigonometric motion · 🔍 Worked example — Easy · 🔍 Worked example — Standard · 🔍 Worked example — Exam-style · ⚠️ Common errors · Common mistakes · Practice