fe math review s12 blank...2012/11/15 · fundamentals problems – michael r. lindeburg pe...

F.E. Math Review

University of Utah © 2011 Dr. Stacy Morris Bamberg

Fundamentals of Engineering: Mathematics Review

Mathematics Content

•  Approximately 18 questions

•  Total time: 4 hours = 2 minutes/question

•  Examples today from 1001 Solved Engineering Fundamentals Problems – Michael R. Lindeburg PE (Professional Publications, CA)


• Be familiar with material included in handbook (especially terminology)

• Calculators allowed: – Hewlett Packard - HP 33s, HP 35s, HP 9s – Casio – any FX 115 – Texas Instruments – any TI 30X,

any TI 36X

(next update: Nov. 15, 2012)

Mathematics Overview

F.E. Math Review



Tips!

1. Read the question

2. Use multiple choice 3. e ≈ 3, π ≈ 3 4. Be familiar with presentation

of material in the handbook (see http://www.ncees.org/Exams/ Study_materials/Download_FE_Supplied-Reference_Handbook.php or google “fe handbook” and click the first link)


Tips!

1. Read the question

2. Use multiple choice 3. e ≈ 3, π ≈ 3 4. Be familiar with presentation

of material in the handbook 5. Expect “knowledge” based

questions

F.E. Math Review



TIP 1: Read the Question


TIP 2: Use the multiple choice

F.E. Math Review



Geometry: Area & Volume


Example: Volume

F.E. Math Review



Geometry: Straight Lines


Geometry: Conic Sections and Quadric Surfaces

F.E. Math Review



Geometry


Geometry: Coordinate Systems

F.E. Math Review



Algebra: Partial Fractions


Algebra: Partial Fractions

Example:

F.E. Math Review



TIP 2: Use multiple choice


Algebra: Exponents & Logarithms

F.E. Math Review



TIP 3: e ≈ 3 (π ≈ 3, too)


Trigonometry: Functions

F.E. Math Review



Example: Trig


Trigonometry: Identities

F.E. Math Review



Example: Trigonometry


Calculus: Taylor’s Series

F.E. Math Review



Example: Taylor’s Series / L’Hôpital’s

Example:


Calculus: Differentiation and Integration

F.E. Math Review



Calculus: Integration by Parts

Example:

Integration by parts:


Examples: Calculus

F.E. Math Review



Examples: Calculus


Differential Equations: First Order

Example:

F.E. Math Review



Differential Equations: Second Order


Example: Differential Equations

F.E. Math Review






F.E. Math Review



Linear Algebra: Matrices


Linear Algebra: Determinants and Inverse

F.E. Math Review



Linear Algebra: Matrices


Example: Determinants

F.E. Math Review



Example: Inverse Matrices

fe math review s12 blank...2012/11/15 · fundamentals problems – michael r. lindeburg pe...

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