Here you will find practice problems aligned with the Calculus 12 curriculum in the province of BC, Canada. Visit this site directly at hunkim.com/13
Calculus 12 Topics
- What do you remember from Pre-Calcululus 12?
- Functions and Graphs
- Limits and Continuity
- Differentiation
- Introduction to differentiation
- Kinematics
- Recognizing the limit as a derivative
- Product and quotient rule
- Mean value theorem
- Derivative of a graph
- Curve sketching
- Newton’s method
- Chain rule
- Implicit differentiation
- Optimization
- Related rates
- Slope fields
- (Derivative of inverse functions)
- Integration
- Estimating area under a curve (RAM)
- Introduction to integration
- Initial value problems
- Average value of a function
- Integration by substitution
- The fundamental theorem of calculus
- Integration by parts
- Area between curves
- Volumes of revolution and solid
- Basic differential equations
What do you remember from Pre-Calcululus 12?
Functions and Graphs
Limits and Continuity
Differentiation
- Introduction to Differentiation Lesson
- Introduction to Differentiation (solutions)
- Introduction to Differentiation Assignment
- Product and Quotient Rule
- Product and Quotient Rule (solutions)
- Chain Rule
- Chain Rule (solutions)
- Kinematics
- Kinematics (solutions)
- Recognizing the Limit as a Derivative
- Recognizing the Limit as a Derivative (solutions)
- Implicit Differentiation
- Implicit Differentiation (solutions)
Curve Sketching
- Intermediate Value Theorem
- Intermediate Value Theorem (solutions)
- Mean Value Theorem
- Mean Value Theorem (solutions)
- Newton’s Method
- Newton’s Method (solutions)
- Newton’s Method Assignment
- Derivative of a Graph
- Derivative of a Graph (solutions)
- Curve Sketching
- Curve Sketching (solutions)
Optimization
- Calculus Optimization
- Calculus Optimization (solutions)
- Extra Practice (solutions are being written now)
Related Rates
Approximating Area Under a Curive
Introduction to Integration
Initial Value Problems
Average Value of a Function
Integration by Substitution
Fundamental Theorem of Calculus
- Fundamental Theorem of Calculus Part II
- Fundamental Theorem of Calculus Part II (solutions)
- Fundamental Theorem of Calculus Part I
- Fundamental Theorem of Calculus Part I (solutions)