MATH 20EVector Calculus
Change of variable in multiple integrals, Jacobian, Line integrals, Green’s theorem. Vector fields, gradient fields, divergence, curl. Spherical/cylindrical coordinates. Taylor series in several variables. Surface integrals, Stoke’s theorem. Gauss’ theorem. Conservative fields.
Prerequisites
From the catalog: “MATH 18 or MATH 20F or MATH 31AH and MATH 20C (or MATH 21C) or MATH 31BH with a grade of C– or better.”
Where it sits in degree plans
Suggested plans most often put it in Year 2 · Spring (17 programs).
Required in (7)
- Aerospace Engineering (B.S.)
- Bioengineering (B.S.)
- Bioengineering: BioSystems (B.S.)
- Bioengineering: Bioinformatics (B.S.)
- Bioengineering: Biotechnology (B.S.)
- Mechanical Engineering (B.S.)
- Oceanic and Atmospheric Sciences (B.S.)
Courses that list MATH 20E as a prerequisite (16)
- ASTR 101 Astrophysical Dynamics
- BENG 110 Musculoskeletal Biomechanics
- CENG 101A Introductory Fluid Mechanics
- COGS 118A Supervised Machine Learning Algorithms
- COGS 118B Introduction to Machine Learning
- COGS 181 Neural Networks and Deep Learning
- MAE 101A Introductory Fluid Mechanics
- MAE 143A Signals and Systems
- MATH 110 Introduction to Partial Differential Equations
- MATH 120A Elements of Complex Analysis
- MATH 150A Differential Geometry
- PHYS 100A Electromagnetism I
- PHYS 100B Electromagnetism II
- SE 131A Finite Element Analysis
- SIO 173 Dynamics of the Atmosphere and Climate
- SIO 177 Fluid Dynamics