References: Continuity

1. Continuous function - Wikipedia - Comprehensive coverage of continuity definitions, types of discontinuities, and properties of continuous functions. Core reference for all continuity concepts in this chapter.

2. Classification of discontinuities - Wikipedia - Detailed taxonomy of removable, jump, and infinite discontinuities with visual examples. Directly supports the chapter's discontinuity classification activities.

3. Intermediate value theorem - Wikipedia - Statement, proof, and applications of the IVT including root-finding. Provides rigorous foundation for the theorem introduced in this chapter.

4. Calculus: Early Transcendentals (9th Edition) - James Stewart - Cengage Learning - Section 2.5 covers continuity at a point, on an interval, and the IVT with clear diagrams showing each type of discontinuity.

5. Thomas' Calculus (15th Edition) - Joel Hass, Christopher Heil, Maurice Weir - Pearson - Section 2.5 presents the three-part continuity test with practical examples and thorough treatment of piecewise continuity.

6. Continuity - Paul's Online Math Notes - Step-by-step examples applying the three continuity conditions to various function types, with practice problems and solutions.

7. Continuity at a Point - Khan Academy - Interactive lessons and practice on testing continuity conditions, identifying discontinuities, and applying the IVT.

8. Types of Discontinuities - Math is Fun - Visual guide to removable, jump, and infinite discontinuities with interactive graphs that complement the chapter's MicroSims.

9. Intermediate Value Theorem Explained - Professor Leonard - Thorough lecture on the IVT with geometric intuition and worked examples showing how to verify theorem conditions.

10. Continuity and the IVT - Whitman College Calculus - Open-source treatment with formal definitions, examples, and exercises covering continuity on closed intervals.