Active Calculus
Supported by the National Science FoundationAbout this Course
This course is designed to be a companion to Active Calculus for a standard two semester course in single variable calculus. It comprises over 750 interactive problems that are designed to develop conceptual understanding and reinforce problemsolving skills. The problem sets map directly to textbook sections and contain problems drawn from the textbook, as well as supplementary problems.
This course was curated by Christina Safranski and the Edfinity team. Active Calculus was written by Boelkins, Austin, and Schlicker.
750+ problems
Algorithmic, interactive problems powered by WeBWorK
Algorithmic, interactive problems powered by WeBWorK
Mapped to textbook topics
Use asis or customize in minutes
Use asis or customize in minutes
Easy sharing
Collaborate with others
Collaborate with others
Problem Sets
 Edfinity Demo
 Review of Prerequisites for Calculus I
 1.1 How Do We Measure Velocity? (Preview)
 1.1 How Do We Measure Velocity?
 1.2 The Notion of a Limit (Preview)
 1.2 The Notion Of A Limit
 1.3 The Derivative of a Function at a Point (Preview)
 1.3 The Derivative Of A Function At A Point
 1.4 The Derivative Function (Preview)
 1.4 The Derivative Function
 1.5 Interpreting, Estimating, and Using the Derivative (Preview)
 1.5 Interpreting, Estimating, And Using The Derivative
 1.6 The Second Derivative (Preview)
 1.6 The Second Derivative
 1.7 Limits, Continuity, And Differentiability (Preview)
 1.7 Limits, Continuity, And Differentiability
 1.8 The Tangent Line Approximation (Preview)
 1.8 The Tangent Line Approximation
 2.1 Elementary Derivative Rules (Preview)
 2.1 Elementary Derivative Rules
 2.2 Sine and Cosine Functions (Preview)
 2.2 The Sine And Cosine Functions
 2.3 The Product and Quotient Rules (Preview)
 2.3 Product And Quotient Rules
 2.4 Derivatives of Other Trigonometric Functions (Preview)
 2.4 Derivatives Of Other Trigonometric Functions
 2.5 The Chain Rule (Preview)
 2.5 The Chain Rule
 2.6 Derivatives of Inverse Functions (Preview)
 2.6 Derivatives Of Inverse Functions
 2.7 Derivatives of Functions Given Implicitly (Preview)
 2.7 Derivatives Of Functions Given Implicitly
 2.8 Using Derivatives to Evaluate Limits (Preview)
 2.8 Using Derivatives To Evaluate Limits
 3.1 Using Derivatives to Identify Extreme Values (Preview)
 3.1 Using Derivatives To Identify Extreme Values
 3.2 Using Derivatives to Describe Families of Functions (Preview)
 3.2 Using Derivatives To Describe Families Of Functions
 3.3 Global Optimization (Preview)
 3.3 Global Optimization
 3.4 Applied Optimization (Preview)
 3.4 Applied Optimization
 3.5 Related Rates (Preview)
 3.5 Related Rates
 4.1 Determining Distance Traveled From Velocity (Preview)
 4.1 Determining Distance Traveled from Velocity
 4.2 Riemann Sums (Preview)
 4.2 Riemann Sums
 4.3 The Definite Integral (Preview)
 4.3 The Definite Integral
 4.4 The Fundamental Theorem of Calculus (Preview)
 4.4 The Fundamental Theorem of Calculus
 Review of Prerequisites for Calculus II
 5.1 Constructing Accurate Graphs of Antiderivatives (Preview)
 5.1 Constructing Accurate Graphs of Antiderivatives
 5.2 The Second Fundamental Theorem of Calculus (Preview)
 5.2 The Second Fundamental Theorem of Calculus
 5.3 Integration by Substitution (Preview)
 5.3 Integration by Substitution
 5.4 Integration by Parts (Preview)
 5.4 Integration By Parts
 5.5 Other Options for Finding Algebraic Antiderivatives (Preview)
 5.5 Other Options For Finding Algebraic Antiderivatives
 5.5(i) Partial Fractions (Preview)
 5.5(ii) Trigonometric Integrals (Preview)
 5.5(i/ii) Partial Fractions and Trigonometric Integrals
 5.6 Numerical Integration (Preview)
 5.6 Numerical Integration
 6.1 Using Definite Integrals to Find Area and Length (Preview)
 6.1 Using Definite Integrals To Find Area And Length
 6.2 Using Definite Integrals to Find Volume (Preview)
 6.2 Using Definite Integrals To Find Volume
 6.3 Density, Mass, and Center of Mass (Preview)
 6.3 Density Mass And Center Of Mass
 6.4 Physics Applications: Work, Force, and Pressures (Preview)
 6.4 Physics Applications Work Force And Pressure
 6.5 Improper Integrals (Preview)
 6.5 Improper Integrals
 7.1 Introduction to Differential Equations (Preview)
 7.1 An Introduction To Differential Equations
 7.2 Qualitative Behavior of Solutions to DEs (Preview)
 7.2 Qualitative Behavior Of Solutions To DEs
 7.3 Euler's Method (Preview)
 7.3 Eulers Method
 7.4 Separable Differential Equations (Preview)
 7.4 Separable Differential Equations
 7.5 Modeling with Differential Equations (Preview)
 7.5 Modeling With Differential Equations
 7.6 Population Growth and the Logistic Equation (Preview)
 7.6 Population Growth And The Logistic Equation
 8.1 Sequences (Preview)
 8.1 Sequences
 8.2 Geometric Series (Preview)
 8.2 Geometric Series
 8.3 Series of Real Numbers (Preview)
 8.3 Series Of Real Numbers
 8.4 Alternating Series (Preview)
 8.4 Alternating Series
 8.5 Taylor Polynomials and Taylor Series (Preview)
 8.5 Taylor Polynomials And Taylor Series
 8.6 Power Series (Preview)
 8.6 Power Series
FAQ

How much does this course cost?

How is this course licensed?

Why choose an Edfinity course?