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1 - 8 Science
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11 English and Math
11 Physics and Biology
12 Calculus
12 English
12 Physics, Biology and Chemistry
9 -10 science
9 English and Math

12 Calculus

Introduction to Calculus
- Radical expression Rationalizing Denominators
- The Slope of a Tangent
- Rates of Change
- Limit of Function
- Properties of Limits
- Continuity

Derivatives
- The Derivatives Function
- The Derivatives of Polynomial Functions
- The Product Rule
- The Quotient Rule
- The Derivatives of Composite Functions
- Higher Order Derivatives, Velocity and Acceleration
- Minimum and Maximum on an interval

Curve Sketching
- Increasing and Decreasing Functions
- Critical Points, Local Maxima and Local Minima
- Vertical and Horizontal Asymptotes
- Concavity and Points of Inflection
- An Algorithm for Curve Sketching

Derivatives of Exponential and Trigonometric Functions
- Derivatives of Exponential Functions, y = e×
- The Derivatives of the General Exponential Function, y = b×
- Optimization Problem Involving Exponential Functions
- The Derivatives of y = sin x and y = cos x
- The Derivatives of y = tan x

An Introduction to Vector
- Introduction to Vector
- Vector Addition
- Multiplication of a Vector by a Scalar
- Properties of Vectors
- Vectors in R² and R³
- Operations with Algebraic Vectors in R²
- Linear Combinations and Spanning Sets

Applications of Vectors
- Vectors as Forces
- Velocity
- The Dot Product of Two Geometric Vectors
- The Dot Product of Algebraic Vectors
- Scalar and Vector Projections
- The Cross Product of Two Vectors
- Applications of the Dot Product and Cross Product

Equations and Lines and Planes

- Vector and Parametric Equations of a line in R²
- Cartesian Equation of a Line
- Vector Parametric Equations of a Line in R³

Relationships between Points, Lines and Planes
- The Intersection of a Line with a Plane and the Intersection of Two Lines
- Systems of Equations
- The Intersection of Two Planes

 

 
 
 
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