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Quantum Engineering Year 0: Mathematical Foundations Month 1Day 4

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Year 0·Month 1·Week 1

Day 4: Continuity and the Intermediate Value Theorem

Day 4 of 2,016~11 min read

Learning Objectives

•State the three-part definition of continuity at a point
•Identify and classify types of discontinuities
•Determine intervals of continuity for a function
•State and apply the Intermediate Value Theorem
•Use IVT to prove existence of roots

Today's Schedule (7 hours)

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1 The Definition of Continuity 2 One-Sided Continuity 3 Continuity on an Interval Types of Discontinuities Type 1 Removable Discontinuity Type 2 Jump Discontinuity Type 3 Infinite Discontinuity Type 4 Oscillating Discontinuity Continuity of Standard Functions Theorem Continuous Function Types Continuity Rules The Intermediate Value Theorem Statement Visual Interpretation Important Notes

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