1. Lessons
2. Gr12
3. Math
4. Calculus and Vectors

Calculus and Vectors

Intro to Calculus

• Limits of Functions
• Properties of Limits
• Continuity
• Slope of Secants
• Slope of Tangents
• Word Problems

Derivatives

• First Principles
• Derivatives of Polynomials
• Product Rule
• Quotient Rule
• Chain Rule
• Implicit Derivatives
• Word Problems

Types of Derivatives

• Exponential Derivatives
• Logarithmic Derivatives
• Trigonometric Derivatives
• Derivative Summary

Applications of Derivatives

• Velocity and Acceleration
• Extreme Values
• Optimization
• Related Rates

Curve Sketching

• Intervals of Change
• Concavity
• Asymptotes
• Review

Vectors

• Introduction to Vectors
• Properties of Vectors
• Adding Geometric Vectors Head to Tail
• Adding Geometric Vectors Tail to Tail
• Subtracting Geometric Vectors
• Adding and Subtracting Algebraic Vectors
• Unit Vectors
• Linear Combinations
• Spanning Sets
• Application of Vectors - Velocity
• Application of Vectors - Force
• Dot Product (Geometric)
• Dot Product (Algebraic)
• Cross Product (Geometric)
• Cross Product (Algebraic)
• Applications of Dot and Cross Product
• Scalar and Vector Projections