# Active Prelude to Calculus (Boelkins)

Edfinity is supported by the National Science Foundation

## Info

This is an online homework companion to Active Prelude to Calculus. It comprises hundreds of algorithmic 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

1. Homework: Assign high quality problems with hints and personalized feedback to develop problem-solving skills.
2. Testing: Create summative secure online quizzes and tests in minutes.
3. Supplementary resources: Embed videos, class notes, and applets alongside assignments.
4. Intervention: Use rich analytics to identify and monitor at-risk students for timely intervention.
5. Analytics: Drill down into student performance and identify problematic or difficult topics.
6. Flipped classroom: Assign pre-class assignments. Save precious class time for discussions.
7. Emporium classes: Use Edfinity for individual/group work for large enrollment sections in labs.
Interactive, algorithmic problems
Algebraic, graphing, open response; randomized variants, hints, and tips
to fill learning gaps.
Corequisite course structures
Use pre-built corequisite content,
LMS integration and accessibility
Connect to your LMS in minutes. VPAT here.
WeBWorK-compatible
Import and author WeBWorK problems.

## Syllabus

1. Edfinity Demo
2. 1.1-1.3 Changing in Tandem; Functions; The Average Rate of Change of a Function
3. 1.4-1.6 Linear Functions; Quadratic Functions; Composite Functions
4. 1.7-1.9 Inverse Functions; Transformations of Functions; Combining Functions
5. 2.1-2.4 Traversing Circles; The Unit Circle; The Sine/Cosine Functions; Sinusoidal Functions
6. 3.1-3.4 Exponential Growth/Decay; Modeling with exponential functions; The special number e; What a logarithm is
7. 3.5-3.6 Properties and applications of logarithmic functions; Modeling temperature and population
8. 4.1-4.5 Right triangles; The Tangent Function; Inverse trigonometric functions; Finding Angles; Other Trigonometric Functions/Identities
9. 5.1-5.3 Infinity, limits, and power functions; Polynomials; Modeling with polynomials
10. 5.4-5.5 Rational functions; Key features rational functions