Calculus II
Courseware

• Advanced integration techniques and applications
• Differential equations and modeling
• Sequences, series, and convergence
• Parametric and polar coordinate systems

• Balanced emphasis on conceptual understanding and procedural fluency
• AI-powered feedback providing real-time guidance and targeted support
• Continuously updated content aligned with best practices in calculus instruction

Developed by educators and grounded in learning science research, Calculus 2 courseware enhances instruction, promotes engagement, and helps more students succeed in mathematics

Learnvia Calculus 2 combines effective teaching practices with adaptive technology in a cohesive, research-informed design. The courseware supports success in gateway mathematics and strengthens retention in STEM pathways. Every component is intentionally structured to foster engagement, comprehension, and persistence through active, scaffolded learning

The courseware is organized into chapters, modules, and short interactive activities that follow the rhythm of a college course. The default 14-week design can be easily adapted for alternative term lengths. Each chapter represents a week of instruction and includes several modules focused on two to four clearly defined learning outcomes.

Modules feature concise, ten-minute activities such as lessons, homework, and quizzes that encourage consistent progress and effective time management. This “bite-sized” format supports attention, pacing, and student motivation, allowing learners to engage meaningfully in shorter study sessions while retaining core ideas.

Each module follows a consistent pattern that builds conceptual understanding step by step:

• Lessons introduce new concepts through concise explanations, animated figures, and embedded questions that check understanding in real time.
• Homework provides randomized, auto-scored practice with hints, explanations, and unlimited attempts. Students can seek support but must solve a new version to earn credit, reinforcing mastery.
• Quizzes offer brief, auto-graded assessments aligned with lessons and homework, allowing students to demonstrate comprehension with confidence.

Each week, students move through a scaffolded cycle designed to deepen understanding:

• Engage and explore through guided lesson activities.
• Practice and apply with structured, feedback-rich homework.
• Assess and reflect through quizzes and reviews that consolidate learning.

This cycle reflects backward design principles where quizzes define learning goals, homework builds toward those goals, and lessons establish the conceptual foundation.

1. Chunked: Short, focused activities sustain attention and promote incremental learning.
2. Scaffolded: Support gradually decreases from lessons to homework to quizzes, developing student independence.
3. Aligned: Every component connects through shared learning outcomes and knowledge–skill–ability (KSA) targets.

Built-in AI tutoring and discussion forums provide just-in-time support, while formative analytics give instructors real-time insight into student progress. Instant, actionable feedback helps close learning gaps before high-stakes assessments. This integrated support system encourages persistence and empowers both students and instructors to make data-informed decisions

Curriculum Committee 
Matt Boelkins, Grand Valley State University
Victoria Frost, Spelman College
Dr. Dave Kung, independent consultant 
Roberto Pelayo, University of California, Irvine
Candice Price, Smith College
Alicia Prieto-Langarica, Youngstown State University
April Strom, Chandler-Gilbert Community College
Aaron Weinberg, Ithaca College

Authors
Kathryn Boddie, University of Louisiana at Lafayette
Jordan Bounds, Learnvia
Chris Chan, Learnvia
Anne Collins, Learnvia
Ashlee Kalauli, Hawai’i Community College
Hesam Oveys, New York University
Roberto Pelayo, University of California, Irvine
Amit Vutha, The Ohio State University

Reviewers
Mark Atkins
Joseph Petrillo, Alfred University
Tam Tran, San Diego City College