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Home  /  Calculus I–III by Topic

Calculus I–III by Topic

All three semesters, from limits through vector calculus.

16 chapters 508 lessons Guided notes for every video
Chapters

Pick a chapter to dive into

Chapter 1

Review and Prerequisites

Prerequisite algebra, precalculus, and trigonometry that calculus assumes, plus the front-matter review of Calculus I.

8 sections
Chapter 2

Limits and Continuity

7 sections
Chapter 3

Differentiation

11 sections
Chapter 4

Applications of the Derivative

9 sections
Chapter 5

Integration

7 sections
Chapter 6

Transcendental Functions and Separable Differential Equations

Logarithms defined as integrals, separable differential equations with exponential growth and decay, and hyperbolic functions. Fuller differential-equations topics appear in the Calculus II chapter.

3 sections
Chapter 7

Study Series (Exam Preparation)

A study-with-me series compiling review and summary videos across Calculus I, offered as a playlist.

5 sections
Chapter 8

Review of Integration (from Calculus I)

A review playlist re-listing the Calculus I integration lessons students should be comfortable with before Calculus II.

4 sections
Chapter 9

Applications of Integration

Area between curves, volumes by disks/washers and shells, arc length, surface area, and physical applications.

6 sections
Chapter 10

Techniques of Integration

Integration by parts, trigonometric integrals and substitution, partial fractions, numerical integration, and improper integrals.

7 sections
Chapter 12

Sequences and Series

10 sections
Chapter 13

Parametric Equations and Polar Coordinates

5 sections
Chapter 14

Vectors and the Geometry of Space

6 sections
Chapter 15

Vector-Valued Functions and Motion in Space

5 sections
Chapter 16

Partial Derivatives

8 sections
Chapter 17

Multiple Integrals

7 sections