MATH 3D Elementary Differential Equations (2016-2017)

MATH 3D Elementary Differential Equations

(Required for AE, BME, BMEP, CE, ChE, CpE, EE, EnE, GE, ME and MSE.)
Catalog Data:

MATH 3D Elementary Differential Equations (Credit Units: 4) Linear differential equations, variation of parameters, constant coefficient cookbook, systems of equations, Laplace transforms, series solutions. Prerequisite: MATH 2D and MATH 3A. School of Physical Sciences and School of Engineering majors have first consideration for enrollment. (Design units: 0)

Required Textbook:
. Edition, , 1969, ISBN-13 978-0071456876.

Recommended Textbook:

Required-free online Differential Equations text by Jiri Lebl at

Relationship to Student Outcomes
No student outcomes specified.
Course Learning Outcomes. Students will:
Prerequisites by Topic
Lecture Topics:
  • Introduction to Differential Equations
  • Integrals as Solutions, Slope Fields
  • Separable Equations
  • Linear Equations and Integrating Factors
  • Substitution
  • Autonomous Equations
  • Second Order Linear ODEs
  • Constant Coefficient Second Order Linear ODEs
  • Higher Order Linear ODEs
  • Nonhomogeneous Equations
  • Mechanical Vibrations,Forced Oscillations and Resonance
  • Systems of ODEs, Matrices and Linear Systems
  • Linear Systems of ODEs
  • Eigenvalue Method, Multiple Eigenvalues
  • Matrix Exponential
  • Nonhomogeneous Systems
  • Laplace Transform
  • Transform of Derivatives and ODEs
  • Dirac Delta Functions and Laplace Transform
  • Convolution
  • Power Series
  • Series Solutions of Linear Second Order ODEs
  • Series Solutions about Singular Points
Class Schedule:

Meets for 3 hours of lecture and 2 hours of discussion each week for 10 weeks.

Computer Usage:
Laboratory Projects:
Professional Component
Design Content Description
Laboratory Portion:
Grading Criteria:
  • Option 1:
  • Final: 50%
  • Midterm: 25%
  • Quizzes/Homework: 25%

  • Option 2:

  • Homework: 10%
  • Quizzes: 10%
  • Midterms: 40%
  • Final: 40%
Estimated ABET Category Content:

Mathematics and Basic Science: 0.0 credit units

Computing: 0.0 credit units

Engineering Topics: 0.0 credit units

Engineering Science: 0.0 credit units

Engineering Design: 0.0 credit units

July 12, 2016
Senate Approved:
May 20, 2013
Approved Effective:
2013 Spring Qtr