Calculus Concepts
Study change and accumulation by building interactive applications that visualize calculus concepts. Create projects that demonstrate your understanding of limits, derivatives, integrals, and differential equations.
Learning Objectives
- Create interactive tools for visualizing and understanding limits
- Develop applications that demonstrate derivative concepts and applications
- Build tools for exploring integration and its geometric interpretation
- Implement simulations of differential equations and their solutions
- Apply calculus concepts to model real-world dynamic systems
Calculus Projects
Complete these projects to build a portfolio demonstrating your understanding of calculus concepts. Each project becomes progressively more challenging and builds upon skills from previous projects.
Limit Explorer
Create an interactive tool for visualizing limits with epsilon-delta demonstrations and continuity analysis.
Derivative Visualizer
Build an application showing derivative concepts with tangent line visualizations and rate of change demonstrations.
Integral Lab
Develop a tool for visualizing integration with area calculation demonstrations and Riemann sum visualizations.
Differential Equations Simulator
Build a tool for solving and visualizing differential equations with solution trajectory plotting and real-world applications.
Your Progress
Course Instructor
Recent Achievements
Derivative Wizard
Created a comprehensive derivative visualizer
Limit Master
Built your first interactive limit explorer
Career Pathways
These career opportunities become available as you complete projects and develop your calculus skills.
Simulation Developer
Building interactive simulations of dynamic systems and processes.
Required Projects:
Mathematical Modeling Specialist
Creating mathematical models of complex systems using calculus principles.
Required Projects:
Quantitative Systems Analyst
Analyzing and optimizing complex systems using advanced calculus and differential equations.