[TEA_Dongguan] MCV4U, Calculus and Vectors Grade 12 by Ms. S. Ella Hou (2024-25): All participants
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Course Orientation
Folder Course Resource Folder
Course Agreement
Questionnaire Responsibilities of Students
Introduction
Unit 1 - Introduction of Calculus (15 hours)
Assignment Unit 1 Test: Limit
Lesson 1.1 - Rate of Change
Lesson 1.2 - Home-in Value Limit
Lesson 1.3 - Limit and Continuity
Quiz Lesson 1.3 Warmer Questions
Lesson 1.4 - Differentiability and Review
Unit 2 - Derivatives (18 hours)
Lesson 2.1 - Power, Product, Quotient Rule and Chain Rule (2 Days)
Lesson 2.2 - Derivatives of Exponential, Trigonometry and Logarithmic Functions
Lesson 2.4 - Implicit Differentiation and Logarithmic Methods
Unit 3 - Curve Sketching and Applications (21 hours)
Lesson 3.1 - Interval of increasing/decreasing
Lesson 3.2 - Point of inflection and Concavity (2 days)
Lesson 3.3 - Optimization
Lesson 3.4 - Related Rates
Unit 4 - Vectors and its Applications (30 hours)
Lesson 4.1 - Introduction of vectors
Lesson 4.2 - Geometric operations of vectors
Lesson 4.3 - Algebraic operation of vectors
Lesson 4.4 - Collinearity, Parallelism, Linear Dependency
Lesson 4.5 - Force and Velocity
Lesson 4.7 - Scalar/Vector Projection and Cross product
Lesson 4.8 - Application of dot and cross product
Lesson 5.1 - 2D/3D Lines
Lesson 5.2 - 3D Planes
Lesson 5.3 - Intersection of lines and Planes
Review & Final Evaluation (11 hours)