Standard syllabus
Engineering mathematics · Undergraduate · Math
Topics
Vector calculus
- Vectors in R³; dot and cross products
- Vector-valued functions; arc length and curvature
- Partial derivatives and the gradient
- Directional derivatives and tangent planes
- Chain rule for multivariable functions
Multiple integration and vector fields
- Double and triple integrals; change of variables
- Line integrals and work; conservative fields
- Green's theorem in the plane
- Surface integrals and flux
- Divergence theorem and Stokes' theorem (statements and applications)
Differential equations for engineers
- First- and second-order linear ODEs (review and extension)
- Systems of ODEs and matrix exponential (introduction)
- Laplace transforms for engineering IVPs
- Fourier series for periodic forcing functions
- Introduction to PDEs: heat and wave equations (overview)
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$1,162 · Engineering mathematics · 18 tutoring hrs
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