Key mathematical concepts lay the foundation for understanding many important concepts in the ECE curriculum. The foundations thread unpacks math and physics concepts to help students learn fundamentals in ECE topics by promoting the value and utility of mathematics in ECE courses, as well as the importance of mathematical thinking.
Foundation Module | Learning Studio Modules |
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Complex-valued functions; Cartesian and polar representations; Magnitude and phase; Steinmetz's phasor analysis | LSM1 |
Vectors; Magnitude and direction; Cartesian, cylindrical, and spherical coordinate systems | LSM1; LSM2 |
Line, surface, and volume integrals; Circulation and flux; Gradient; Directional derivative; Divergence; Laplacian | LSM1; LSM2 |
Running sums of sequences; Geometric series; Integration of complex exponentials and sinusoids | LSM2 |
Nonlinear equations; Numerical methods for solving non-linear equations; Newton-Raphson method | LSM2; LSM3 |
Complex exponential functions; Eigenfunctions; Orthogonality; Sine functions | LSM3 |
Complex exponential sequences; Eigensequences; Dirichlet kernels | LSM4 |
Taylor series; First-order approximations; Linearization; Approximation error | LSM4 |
Cross product of vectors; Triple products of vectors; Curl; Stokes' theorem; Laplacian of a vector | LSM4; LSM5 |
Complex-valued functions; Magnitude and phase spectra; Interpolation | LSM5 |