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CELE Engineering MathematicsAdvanced Engineering MathematicsSlides

If you commute to a CELE 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

For the Civil Engineer Licensure Examination, Professional Regulation Commission (PRC) — Board of Civil Engineering tests Engineering Mathematics under a "Core" label, with Advanced Engineering Mathematics in the 8th 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.

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

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