WClasses

AMATH 251 - Introduction to Differential Equations (Advanced Level)

AMATH251 is an advanced-level version of AMATH250. Basic techniques for ODEs: integrating factors, undetermined coefficients and variation of parameters. Introduction to existence and uniqueness theorems. Systems of n-dimensional coupled ODEs and high order ODEs. Matrix Exponential. Laplace Transform. Stability and nonlinear ODEs. Phase space analysis and chaos. Introduction to numerical methods. Series solutions and special functions.

Prerequisites

(One of MATH106, MATH114, MATH115, MATH136, MATH146, NE112) and (One of MATH118, MATH119, MATH128, MATH138, MATH148).

Corequisites

None

Antirequisites

AMATH250, AMATH350, MATH218, MATH228

Offerings

Fall 2025 [1259]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001650927 / 6008:30 - 09:50 T,Th
LEC 001650927 / 6008:30 - 09:50 T,Th
TUT 101652127 / 6011:30 - 12:20 M
TUT 101652127 / 6011:30 - 12:20 M

Winter 2025 [1251]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 00166420 / 50
TUT 10166430 / 50

Fall 2024 [1249]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001648734 / 6011:30 - 12:50 T,Th
TUT 101650234 / 6010:30 - 11:20 Th

Winter 2024 [1241]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001810324 / 5012:30 - 13:20 M,W,F
TUT 101810524 / 5011:30 - 12:20 F

Fall 2023 [1239]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001637651 / 5511:30 - 12:50 T,Th
TUT 101639251 / 5515:30 - 16:20 M

Fall 2022 [1229]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001748535 / 5011:30 - 12:50 T,ThMC 4042Mohammad Kohandel
TUT 101750135 / 5008:30 - 09:20 WPHY 150

Fall 2021 [1219]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001654121 / 5008:30 - 09:50 T,ThMC 4045Kevin Lamb
TUT 101656521 / 5011:30 - 12:50 ThMC 4045Kevin Lamb

Fall 2020 [1209]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 041643743 / 116 Joe West
TUT 141646143 / 116

Fall 2019 [1199]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001626751 / 5808:30 - 09:50 T,ThMC 4041Kevin Lamb
TUT 101629351 / 5811:30 - 12:20 TPHY 150

Fall 2018 [1189]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001612436 / 5815:30 - 16:20 M,W,FMC 4063Sue Ann Campbell
TUT 101615136 / 5810:30 - 11:20 ThRCH 103
TUT 10263220 / 30

Fall 2017 [1179]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001624855 / 6013:30 - 14:20 M,W,FMC 4060Sue Ann Campbell
TUT 101627729 / 3010:30 - 11:20 TRCH 205Sue Ann Campbell
TUT 102646726 / 3011:30 - 12:20 TMC 4064Sue Ann Campbell

Fall 2016 [1169]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001624427 / 6008:30 - 09:20 M,W,FMC 4063Kevin G Lamb
TUT 10162759 / 4009:30 - 10:20 MQNC 1506Kevin G Lamb
TUT 102650318 / 4014:30 - 15:20 FMC 4064Kevin G Lamb

Fall 2015 [1159]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001654151 / 6010:30 - 11:20 M,W,FDWE 3518Kevin G Lamb
TUT 101657526 / 4015:30 - 16:20 MMC 4041Kevin G Lamb
TUT 102852125 / 4016:30 - 17:20 MMC 4041Kevin G Lamb

Fall 2014 [1149]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001624134 / 6012:30 - 13:20 M,W,FMC 4060Kevin G Lamb
TUT 101627934 / 6015:30 - 16:20 MMC 4042

Fall 2013 [1139]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001593020 / 6013:30 - 14:20 M,W,FMC 4060Kevin G Lamb
TUT 101599420 / 6015:30 - 16:20 MMC 4063

Fall 2012 [1129]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001718549 / 6013:30 - 14:20 M,W,FMC 2035Zoran Miskovic
TUT 101816249 / 6015:30 - 16:20 MMC 4063

UW Flow Ratings

Liked: 55.88%

55.88%

Easy: 40.63%

40.63%

Useful: 93.48 %

93.48%

AMATH 251 leads to

AMATH 271 - Introduction to Theoretical Mechanics

AMATH 310 - Environmental Informatics

AMATH 342 - Computational Methods for Differential Equations

AMATH 351 - Ordinary Differential Equations

AMATH 353 - Partial Differential Equations 1

AMATH 383 - Introduction to Mathematical Biology

AMATH 456 - Calculus of Variations

AMATH 477 - Stochastic Processes for Applied Mathematics

CHEM 356 - Introductory Quantum Mechanics

EARTH 310 - Environmental Informatics

ECE 403 - Thermal Physics

PHYS 233 - Introduction to Quantum Mechanics

PHYS 234 - Quantum Physics 1

PHYS 263 - Classical Mechanics and Special Relativity

PHYS 334 - Quantum Physics 2

PHYS 342 - Electricity and Magnetism 2

PHYS 358 - Thermal Physics

PHYS 363 - Intermediate Classical Mechanics

PHYS 364 - Mathematical Physics 1

PHYS 365 - Mathematical Physics 2

AMATH 362 - Mathematics of Climate Change

AMATH 345 - Data-Driven Mathematical Models

AMATH 445 - Scientific Machine Learning

AMATH 453 - Partial Differential Equations 2

AMATH 451 - Introduction to Dynamical Systems

AMATH 455 - Control Theory

PHYS 356 - Optics 1

PHYS 357 - Statistical Mechanics and Thermodynamics