GELE Mathematics — Advanced Engineering MathematicsSlides
If you commute to a GELE review centre (or watch Super Tutor on the jeepney), these Advanced Engineering Mathematics slides are designed for exactly that. Each slide holds one idea, one visual cue, and one PRC-style question pattern — ready for quick bursts of review between stops.
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 Advanced Engineering Mathematics is the 8th 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.
Advanced Engineering Mathematics - Slides
Slides
Chapter Overview: Advanced Engineering Mathematics
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S1
Complex Numbers: Rectangular Form
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S2
Complex Numbers: Polar and Exponential Forms
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S3
Complex Number Operations: Multiplication and Division in Polar Form
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S4
De Moivre's Theorem: Powers and Roots of Complex Numbers
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S5
Matrices: Definition, Notation, and Basic Operations
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S6
Matrix Multiplication: Rules and Step-by-Step Procedure
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S7
Determinants: 2×2 Case and Properties
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S8
Matrix Inversion: 2×2 Formula and Verification
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S9
Cramer's Rule: Solving Linear Systems via Determinants
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S10
Cramer's Rule: Worked Example with 3×3 System
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S11
Vectors: Definition, Components, and Basic Operations
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S12
Dot Product: Definition, Properties, and Geometric Interpretation
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S13
Cross Product: Definition, Properties, and Physical Interpretation
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S14
Applications: Moment, Angle Between Vectors, and Orthogonality
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S15
Common Board-Exam Pitfalls and Problem-Solving Strategies
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S16
Comprehensive Review: Formula Summary and Quick Reference
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S17
Practice Problem Set: Mixed Topics and Difficulty Levels
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S18
Connection to Civil Engineering Applications
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S19
Chapter Conclusion: Key Takeaways and Exam Readiness
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S20
Stored In
chapter_slides
Slide Count
20
Summary Only
true
Previous chapter
Differential Equations
Next chapter
Engineering Data Analysis (Probability and Statistics)
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