OpenStax Calculus Volume 1
NEW: A peer-reviewed edition of this course with instructional content (videos, applets) is now available.Info
This is an online homework companion to OpenStax Calculus Volume 1. It comprises over 400 interactive problems that are designed to develop conceptual understanding and reinforce problem-solving skills. It comprises problems carefully organized into problem sets mapped to textbook sections. Use this course as-is, or customize at any level. You can mix-and-match 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 problem-solving 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 at-risk students for timely intervention.
- Analytics: Drill down into student performance and identify problematic or difficult topics.
- Flipped classroom: Assign pre-class assignments. Save precious class time for discussions.
- Emporium classes: Use Edfinity for individual/group work for large enrollment sections in labs.
Edfinity is a full-featured homework system that supports mathematically-aware 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 WeBWorK-compatible - existing WeBWorK courses can be automatically imported, and you can author new WeBWorK problems using our problem authoring tool.
Algebraic, graphing, open response; randomized variants, hints, and tips
Each student receives personalized support
to fill learning gaps.
Use pre-built corequisite content,
or create your own.
Connect to your LMS in minutes. VPAT here.
Import and author WeBWorK problems.
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Syllabus
- 0 Edfinity Demo
- 1.1 Review of Functions
- 1.2 Basic Classes of Functions
- 1.3 Trigonometric Functions
- 1.4 Inverse Functions
- 1.5 Exponential and Logarithmic Functions
- 2.1 A Preview of Calculus
- 2.2 The Limit of a Function
- 2.3 The Limit Laws
- 2.4 Continuity
- 2.5 The Precise Definition of a Limit
- 3.1 Defining the Derivative
- 3.2 The Derivative as a Function
- 3.3 Differentiation Rules
- 3.4 Derivatives as Rates of Change
- 3.5 Derivatives of Trigonometric Functions
- 3.6 The Chain Rule
- 3.7 Derivatives of Inverse Functions
- 3.8 Implicit Differentiation
- 3.9 Derivatives of Exponential and Logarithmic Functions
- 4.1 Related Rates
- 4.2 Linear Approximations and Differentials
- 4.3 Maxima and Minima
- 4.4 The Mean Value Theorem
- 4.5 Derivatives and the Shape of a Graph
- 4.6 Limits at Infinity and Asymptotes
- 4.7 Applied Optimization Problems
- 4.8 L’Hôpital’s Rule
- 4.9 Newton's Method
- 4.10 Antiderivatives
- 5.1 Approximating Areas
- 5.2 The Definite Integral
- 5.3 The Fundamental Theorem of Calculus
- 5.4 Integration Formulas and the Net Change Theorem
- 5.5 Substitution
- 5.6 Integrals Involving Exponential and Logarithmic Functions
- 5.7 Integrals Resulting in Inverse Trigonometric Functions
- 6.1 Areas between Curves
- 6.2 Determining Volumes by Slicing
- 6.3 Volumes of Revolution: Cylindrical Shells
- 6.4 Arc Length of a Curve and Surface Area
- 6.5 Physical Applications
- 6.6 Moments and Center of Mass
- 6.7 Integrals, Exponential Functions, and Logarithms
- 6.8 Exponential Growth and Decay
- 6.9 Calculus of the Hyperbolic Functions
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