CELE Engineering Mathematics — Differential CalculusSlides
Slide deck for CELE Engineering Mathematics — Differential Calculus. These slides are built for quick visual review, highlighting the key concepts, formulas, and question patterns from this chapter of the CELE 2026 syllabus.
Exam context
For the Civil Engineer Licensure Examination, Professional Regulation Commission (PRC) — Board of Civil Engineering tests Engineering Mathematics under a "Core" label, with Differential Calculus in the 5th slot across 10 chapters. CELE candidates must clear the 70% weighted average, no sub-test below 50% cut on the 2026 paper, which draws about a meaningful share of Engineering Mathematics questions. Date to watch: May and November 2026.
Differential Calculus - Slides
Slides
Limits and Continuity: Foundation of Derivatives
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S1
The Derivative: Definition and Interpretation
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S2
Power Rule and Polynomial Differentiation
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Product, Quotient, and Chain Rules
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Derivatives of Trigonometric and Exponential Functions
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Critical Points: Finding Local Extrema (Maxima and Minima)
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Optimization: Setting Up One-Variable Problems
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Related Rates: Time-Dependent Optimization
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Curvature and Radius of Curvature
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Partial Derivatives: Multivariable Functions
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Implicit Differentiation
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Curve Sketching: Using Derivatives to Understand Graph Behavior
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L'Hôpital's Rule: Resolving Indeterminate Forms
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Worked Example: Complete Optimization and Extrema Problem
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Worked Example: Related Rates with Geometry
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Common Mistakes and Pitfalls in Differentiation
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Summary and Key Formulas: Differential Calculus
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Exam Strategy and Problem-Solving Tips
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Stored In
chapter_slides
Slide Count
18
Summary Only
true
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