Honesty map

The eight-unit map is still being written.

Start with why a limit is not a function value, then FTC accumulation. Chain rule and related rates are later sittings. Later units exist as faculty drafts in this studio; they are not a published eight-unit course.

Lesson 1
Limit versus function value
Explain why \lim_{x\to a}f(x) can exist and differ from f(a), and estimate a limit from a graph or table without relying on a filled point.
completion: not opened
Open lesson
Lesson 2
Accumulation functions and the FTC
Define A(x)=\int_a^x f(t)\,dt, predict whether A increases when f is negative, and differentiate accumulation with a variable upper limit, including x^2.
completion: not opened
Open lesson

Later sitting
Nested functions and the chain rule
Annotate the inner function, differentiate the outer, then multiply by the inner derivative.
Open this sitting
Later sitting
Related rates: equation before numbers
Write a relating equation, differentiate with respect to time, then substitute the instantaneous data.
Open this sitting

Later units

Not published as a live journey. Names below are the official unit titles so you can see what is still being written. They are not extra free lessons. Units 3–8 are not a complete course on this desk.

Unit 1: Limits and ContinuityPublic lesson in this unit. Other lessons wait until after lesson 2.
Unit 2: Differentiation: Definition and Fundamental PropertiesStill being written.
Unit 3: Differentiation: Composite, Implicit, and Inverse FunctionsOne gated lesson waits behind the form. Not a published unit.
Unit 4: Contextual Applications of DifferentiationOne gated lesson waits behind the form. Not a published unit.
Unit 5: Analytical Applications of DifferentiationStill being written.
Unit 6: Integration and Accumulation of ChangePublic lesson in this unit. Other lessons wait until after lesson 2.
Unit 7: Differential EquationsStill being written.
Unit 8: Applications of IntegrationStill being written.

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Opening this Anannt screen…

Later units

Unit 1: Limits and ContinuityPublic lesson in this unit. Other lessons wait until after lesson 2.

Unit 2: Differentiation: Definition and Fundamental PropertiesStill being written.

Unit 3: Differentiation: Composite, Implicit, and Inverse FunctionsOne gated lesson waits behind the form. Not a published unit.

Unit 4: Contextual Applications of DifferentiationOne gated lesson waits behind the form. Not a published unit.

Unit 5: Analytical Applications of DifferentiationStill being written.

Unit 6: Integration and Accumulation of ChangePublic lesson in this unit. Other lessons wait until after lesson 2.

Unit 7: Differential EquationsStill being written.

Unit 8: Applications of IntegrationStill being written.

Tell us who is sitting

The eight-unit map is still being written.

Limit versus function value

Accumulation functions and the FTC

Nested functions and the chain rule

Related rates: equation before numbers

Later units

The eight-unit map is still being written.

Limit versus function value

Accumulation functions and the FTC

Nested functions and the chain rule

Related rates: equation before numbers

Later units