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MECH&AE 82 · MAE 82Mathematics of Engineering

Mechanical and Aerospace Engineering · 4 units · Undergraduate lower division (0-99)

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Methods of solving ordinary differential equations in engineering. Review of matrix algebra, eigenvalues, and eigenvectors. Solution of systems of first-order ordinary differential equations using matrix methods. Introduction to Laplace transforms and their application to ordinary differential equations. Introduction to boundary value problems, partial differential equations, and separation of variables.

Letter grading.

When it runs

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Requisites

Official UCLA wording

Requisite: Mathematics 33A. Recommended requisite: course M20.

BruinTree reads · Prerequisite

confidence 1.00 · from text
MATH 33A

BruinTree reads · Recommended

confidence 1.00 · from text
MECH&AE M20

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Requires

Everything that has to come before this course, not just the courses named in the requisite above.

MECH&AE 82

  • MECH&AE M20Introduction to Computer Programming with MATLAB
    • MATH 33ALinear Algebra and Applicationsanother path to it
  • MATH 33ALinear Algebra and Applications
    • MATH 3BCalculus for Life Sciences Students
      • MATH 3ACalculus for Life Sciences Students1 more beneath
    • MATH 31BIntegration and Infinite Series
      • MATH 31ADifferential and Integral Calculus1 more beneath
    • MATH 32ACalculus of Several Variables
      • MATH 31ADifferential and Integral Calculusanother path to it

2 direct requisites. Showing 9 courses over 3 levels; the branches marked with a count carry on past it. Every course here opens its own tree.

Unlocks

What this course is a requisite for, and what those courses lead to in turn.

MECH&AE 82

  • MECH&AE 105DTransport Phenomena
    • MECH&AE C131GMicroscopic Energy Transport
    • MECH&AE C138Introduction to Statistical Thermodynamics
    • MECH&AE 157Basic Mechanical and Aerospace Engineering Laboratoryanother path to it
    • MECH&AE 157WBasic Mechanical and Aerospace Engineering Laboratory with Writing
    • MECH&AE 231BRadiation Heat Transfer
    • MECH&AE C231GMicroscopic Energy Transport
    • MECH&AE C238Introduction to Statistical Thermodynamics
    • MECH&AE 281Microsciences
  • MECH&AE 135Fundamentals of Nuclear Science and Engineering
  • C&EE 103Applied Numerical Computing and Modeling in Civil and Environmental Engineering
  • MECH&AE 150AIntermediate Fluid Mechanics8 more beyond
    • MECH&AE 150BAerodynamics3 more beyond
      • MECH&AE 154SFlight Mechanics, Stability, and Control of Aircraftanother path to it
    • MECH&AE C150PAircraft Propulsion Systems
    • MECH&AE 154SFlight Mechanics, Stability, and Control of Aircraft1 more beyond
    • MECH&AE 157AAerospace Design Laboratory
    • MECH&AE 157DAerospace Design Laboratory I1 more beyond
    • MECH&AE 231CPhase Change Heat Transfer and Two-Phase Flow
    • MECH&AE 250AFoundations of Fluid Dynamicsanother path to it
    • MECH&AE 250BViscous and Turbulent Flows1 more beyond
  • MECH&AE 156AAdvanced Strength of Materials6 more beyond
    • MECH&AE CM140Introduction to Biomechanics
    • MECH&AE C156BMechanical Design for Power Transmission
    • BIOENGR CM140Introduction to Biomechanics
    • MECH&AE 162DMechanical Engineering Design I1 more beyond
    • MECH&AE 166CDesign of Composite Structures3 more beyond
    • C&EE M135CIntroduction to Finite Element Methodsanother path to it
    • MECH&AE M168Introduction to Finite Element Methodsanother path to it
    • MECH&AE CM240Introduction to Biomechanicsanother path to it
  • EC ENGR 100Electrical and Electronic Circuits
    • MECH&AE 107Introduction to Modeling and Analysis of Dynamic Systems3 more beyond
    • MECH&AE 157Basic Mechanical and Aerospace Engineering Laboratory
    • EC ENGR 110LCircuit Measurements Laboratory3 more beyond
    • MECH&AE 157WBasic Mechanical and Aerospace Engineering Laboratory with Writinganother path to it
    • EC ENGR 115CDigital Electronic Circuits4 more beyond
    • EC ENGR C115PPower Electronics
    • EC ENGR C215PPower Electronics
  • MECH&AE 166AAnalysis of Aerospace Structures4 more beyond
    • MECH&AE CM140Introduction to Biomechanicsanother path to it
    • MECH&AE 154BDesign of Aerospace Structures
    • BIOENGR CM140Introduction to Biomechanicsanother path to it
    • MECH&AE C156BMechanical Design for Power Transmissionanother path to it
    • C&EE M135CIntroduction to Finite Element Methods
    • MECH&AE M168Introduction to Finite Element Methods1 more beyond
    • MECH&AE CM240Introduction to Biomechanics
    • BIOENGR CM240Introduction to Biomechanics
  • MECH&AE C175AProbability and Stochastic Processes in Dynamical Systems
  • MECH&AE 181AComplex Analysis and Integral Transforms
  • MECH&AE 182BMathematics of Engineering
    • MECH&AE 231AConvective Heat Transfer Theory
    • MECH&AE 250AFoundations of Fluid Dynamics1 more beyond
    • MECH&AE 250ESpectral Methods in Fluid Dynamicsanother path to it
    • MECH&AE 252PPlasma and Ionized Gasesanother path to it
  • MECH&AE 250ESpectral Methods in Fluid Dynamics
  • MECH&AE 252PPlasma and Ionized Gases
  • MECH&AE 263EBionic Systems Engineering
  • MECH&AE C271AProbability and Stochastic Processes in Dynamical Systems
    • MECH&AE 271BStochastic Estimation1 more beyond
  • MECH&AE 285Mechanics of Soft Matter

15 courses list this as a requisite. Showing 60 courses over 3 levels; the branches marked with a count carry on past it. Every course here opens its own tree.

  • Fall 2025
  • Winter 2026
  • Spring 2026
  • Fall 2026
  • Winter 2027
  • Spring 2027

Scheduled, not typical — from UCLA’s Schedule of Classes, which publishes Fall 2025 through Spring 2027 and nothing before it.