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Calculus

Welcome to Calculus

Unit 1 - Prerequisite Materials

Unit 2 - Limits

Unit 3 - Derivatives

Unit 4 - Applying Derivatives

Unit 5 - Integrals

Unit 6 - Solving Differentials

Unit 7 - Application of Integrals

Unit 8 - Convergence











































































Calculus AP - Fall

Unit 1 - Welcome Unit
Open this folder to see and complete your 'Welcome Unit.'

Getting around the course
How homework works
Taking Tests
Class Discussions and Blog
HW Help
Time line

This unit must be completed by the end of week 1


Unit 1 - Prerequisite Materials
This unit will focus on analyzing data that has a strong correlation. What linear model best fits? How do you write equations for such models? How do you use the model to answer questions?
Before we dive into Calculus we need to be ready.

Functions
Trigonometry
Algebra

This unit must be completed by the end of week 1



Unit 2 - Limits
Knowing what happens as we get infinitely close opens a new world of possibilities.

Understanding limits
Finding limits
Continuity
Rates of change

This unit must be completed by the end of week 5 (week 2 for BC)

Learning targets


calculusunittargets1


Unit 3 - Derivatives Basics
Knowing what we are looking for and having the tools to find it is essential.

Definition of a derivative
Basic derivatives
Rules for derivatives
Techniques

This unit must be completed by the end of week 11 (week 3 for BC)

Learning targets




Unit 4 - Applying Derivatives
With the derviative as a tool we can find solutions to many of life's problems.

Tangent lines
Extrema and optimizations
Related rates

This unit must be completed by the end of week 17 (week 8 for BC)

Learning targets




Unit 5 - Basic of Integrals
Integrals are a basic tool for solving many problems

Estimating integrals
Mean Value Theorem
Fundamental Theorem of Calculus

This unit must be completed by the end of week 21 (week 15 for BC)

Learning targets




Unit 6 - Solving Differential equations
Challenging problems can be solved with differential equations.

Slope Fields
Integration by Substitution
Integration by Parts

This unit must be completed by the end of week 21 for BC pacing

Learning targets


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