MATH 20DIntroduction to Differential Equations
Ordinary differential equations: exact, separable, and linear; constant coefficients, undetermined coefficients, variations of parameters. Systems. Series solutions. Laplace transforms. Techniques for engineering sciences. Computing symbolic and graphical solutions using MATLAB.
Prerequisites
From the catalog: “MATH 20C or MATH 31BH and MATH 18 or MATH 31AH with a grade of C– or better. Students who have not completed listed prerequisites may enroll with consent of instructor.”
Where it sits in degree plans
Suggested plans most often put it in Year 2 · Winter (23 programs).
Required in (17)
- Aerospace Engineering (B.S.)
- Bioengineering (B.S.)
- Bioengineering: BioSystems (B.S.)
- Bioengineering: Bioinformatics (B.S.)
- Bioengineering: Biotechnology (B.S.)
- Chemistry (B.S.)
- Computer Engineering (B.S.)
- Environmental Chemistry (B.S.)
- Environmental Systems—Earth Sciences (B.S.)
- Environmental Systems—Environmental Chemistry (B.S.)
- Mathematical Biology
- Mathematics—Applied Science (B.S.)
- and 5 more
One of the options in (1)
- Mathematics (Applied) (B.S.)
Courses that list MATH 20D as a prerequisite (45)
- BENG 110 Musculoskeletal Biomechanics
- BENG 123 Dynamic Simulation in Bioengineering
- BENG 130 Biotechnology Thermodynamics and Kinetics
- BENG 133 Numerical Analysis and Computational Engineering
- BENG 134 Measurements, Statistics, and Probability
- BENG 161A Bioreactor Engineering
- BENG 161B Biochemical Engineering
- BENG 166A Cell and Tissue Engineering
- CENG 101A Introductory Fluid Mechanics
- CENG 113 Chemical Reaction Engineering
- CENG 120 Chemical Process Dynamics and Control
- CHEM 130 Chemical Physics: Quantum Mechanics
- CHEM 135 Molecular Spectroscopy
- CHEM 190 Mathematics for Physical Chemistry
- ECE 100 Linear Electronic Systems
- ECE 107 Electromagnetism
- MAE 101A Introductory Fluid Mechanics
- MAE 105 Introduction to Mathematical Physics
- MAE 117A Elementary Plasma Physics
- MAE 131A Solid Mechanics I
- MAE 143A Signals and Systems
- MAE 40 Linear Circuits
- MATH 110 Introduction to Partial Differential Equations
- MATH 111A Mathematical Modeling I
- MATH 112A Introduction to Mathematical Biology I
- MATH 130 Differential Equations and Dynamical Systems
- MATH 152 Applicable Mathematics and Computing
- MATH 170C Introduction to Numerical Analysis: Ordinary Differential Equations
- MATH 174 Numerical Methods for Physical Modeling
- MATH 180B Introduction to Stochastic Processes I
- MATH 194 The Mathematics of Finance
- MATH 210A Mathematical Methods in Physics and Engineering
- MATH 274 Numerical Methods for Physical Modeling
- NANO 104 Foundations in NanoEngineering: Physical Principles
- NANO 107 Electronic Devices and Circuits for NanoEngineers
- NANO 141B Engineering Mechanics II: Analysis of Motion
- PHYS 100A Electromagnetism I
- PHYS 100B Electromagnetism II
- PHYS 151 Elementary Plasma Physics
- PHYS 2D Physics—Relativity and Quantum Physics
- SE 110A Solid Mechanics I
- SE 115 Fluid Mechanics for Structural Engineering
- SE 125 Statistics, Probability and Reliability
- SIO 117 The Physical Basis of Global Warming
- SIO 177 Fluid Dynamics