Active Calculus
Edfinity is supported by the National Science FoundationAbout this Course
This is an online homework companion to Active Calculus. It comprises hundreds of algorithmic problems carefully organized into problem sets mapped to textbook sections. Use this course asis, or customize at any level. You can mixandmatch problems from other catalog courses, add problems from the Edfinity problem repository, or write your own.
How to use this course
 Homework: Assign high quality problems with hints and personalized feedback to develop problemsolving skills.
 Testing: Create summative secure online quizzes and tests in minutes.
 Supplementary resources: Embed videos, class notes, and applets alongside assignments.
 Intervention: Use rich analytics to identify and monitor atrisk students for timely intervention.
 Analytics: Drill down into student performance and identify problematic or difficult topics.
 Flipped classroom: Assign preclass assignments. Save precious class time for discussions.
 Emporium classes: Use Edfinity for individual/group work for large enrollment sections in labs.
Edfinity is a fullfeatured homework system that supports mathematicallyaware problems with algebraic input, evaluation of mathematical expressions, randomized variants, prerequisite pathways for personalized learning, collaboration, coordinated courses, flexible configuration of students’ experience, and complete customization of assignments. Edfinity is WeBWorKcompatible  existing WeBWorK courses can be automatically imported, and you can author new WeBWorK problems using our problem authoring tool.
This course was curated by Christina Safranski and the Edfinity team. Active Calculus was written by Boelkins, Austin, and Schlicker.
Algebraic, graphing, open response; randomized variants, hints, and tips
Each student receives personalized support
to fill learning gaps.
Use prebuilt corequisite content,
or create your own.
Connect to your LMS in minutes. VPAT here.
Import and author WeBWorK problems.
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
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