GELE Mathematics — Differential CalculusSlides
Slide deck for GELE Mathematics — Differential Calculus. These slides are built for quick visual review, highlighting the key concepts, formulas, and question patterns from this chapter of the GELE 2026 syllabus.
Exam context
Professional Regulation Commission (PRC) — Board of Geodetic Engineering runs the Geodetic Engineer Licensure Examination on September 2026. Its Mathematics section sits under a "Core" weighting, and Differential Calculus is the 5th chapter in the 10-chapter GELE Mathematics rotation. The GELE passing mark is 70% weighted average, no sub-test below 50%, and the most recent 2026 paper drew about a meaningful share of questions from Mathematics.
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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S3
Product, Quotient, and Chain Rules
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S4
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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S7
Related Rates: Time-Dependent Optimization
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S8
Curvature and Radius of Curvature
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S9
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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S15
Common Mistakes and Pitfalls in Differentiation
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Summary and Key Formulas: Differential Calculus
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S17
Exam Strategy and Problem-Solving Tips
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S18
Stored In
chapter_slides
Slide Count
18
Summary Only
true
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