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ECE-498NS Daily Schedule Spring 2020

L/WDDateNeuroscience for engineers--a first course
    Part I: stuff
-/35M1/20 Instruction begins
1M1/20L1: MLK day (Holiday)
2W1/21L1: Introduction to Neuroscience, for engineers;
Read: DNA and Genetics
3F8/23L2: Why is neuroscience important, and why engineers should care
Read: Theory of weight gain/loss
-/36M1/27L3: What is a lipid bilayer and how do neurons work
Read & Study: Solving simple differential equations
Assignment: NS1 ...
Read: ...
5F1/31L5: Guest Lect 1
Read: 3.2.2
6/37M2/3L6: Guest Lect 2
7W2/5L7: Guest Lect 3
Assignment: NS2, Due 1 week
NS1 due
Read: ...
Assignment: NS3
AE2 due
Read: 3.8+
System postulates
Read: 3.9+
NS3 due
15/40M2/30Review for Exam I; Exam I, 7-10PM Rm TBD
    Part II: xxx
Assignment: DE1
Assignment: NS4
NS3 Due
5F10/11L5: Multi-valued complex analytic functions
Branch cuts and their properties (e.g., moving the branch cut)
Examples of multivalued function
Colorized plots of multivalued functions: e.g.: \( F(s) = \sqrt{s e^{jk2\pi}} \) where \(k\in{\mathbb N}\) is the sheet index
Read: 4.4.2, 4.4.3
6/42M10/14L6: Three Cauchy integral theorems: CT-1, CT-2, CT-3
How to calculate the residue
Read: 4.5+
7W10/16L7: Inverse Laplace transform (\(t<0\)), Application of CT-3
DE2 Due
Assignment: DE3
Read: 4.7+
 FS10/18 Engineering Open House
8F10/18L8: Inverse Laplace transform (\(t\ge0\)) CT-3
Read: 4.7.1
9/43M10/21L9: Properties of the Laplace transform
Linearity, convolution, time-shift, modulation, derivative etc
Solving differential equations: Train problem (DE3, problem 2, p. 191, Fig. 4.10)
Read: 4.7.2, 4.7.3
10W10/23L10: Differences between the FT and LT
DE3 Due
    Part III: Vector Calculus (9 Lectures)
1F10/25L1: Properties of Fields and potentials
Read: 5.1
Assignment: VC1
2/44M10/28L2: Gradient \(\nabla\), Divergence \(\nabla \cdot\), Curl \(\nabla \times\), Laplacian \(\nabla^2\)
Integral vs differential definitions;
Integral and conservation laws: Gauss, Green, Stokes, Divergence Vector identies in various coordinate systems;
Laplacian in \(N\) dimensions
Read: 5.1.1, 5.1.2
3W10/30L3: Field evolution for partial differential equations
Read: 5.2+
4F11/1L4: Scalar wave equation (Acoustics)
Read: 5.3+
5/45M11/4L5: Webster Horn equation
Three examples of finite length horns
Solution methods; Eigen function solutions
Read: 5.4+, 5.6+
Assignment: VC2
VC1 Due
6W11/6L6: Integral forms of \(\nabla()\), \(\nabla\cdot()\) and \(\nabla \times()\)
Read: 5.7-5.7.4
7F11/8L7: Helmholtz decomposition
Read: 5.7.5
8/46M11/11L8: second order operators DoG, GoD, gOd, DoC, CoG, CoC
Read: 5.7.6
VC2 Due
 W11/13NO Lecture due to Exam II; Class time will be converted to optional Office hours, to review home work solutions and discuss exam
9/46W11/13 Exam II @ 7-10 PM; Room: 447AH (Alt Hall)
    Part IV: Maxwell's equation and their solution
1F11/15L1: Unification of Electricity and Magnitism
Read: 5.8+, Symmetry in physics
2/47M11/18L2: Derivation of the wave equation from 2 first-order equations
Webster Horn equation: vs separation of variables method; integration by parts
Read: 5.8.2; Greenberg pp. ??
3W11/20L3: Transmission line theory: Lumped parameter approximation:
Diffusion line, Telegraph equation, Wave equation (Parabolic, hyperbolic, elliptical)
Read: \(2^{nd}\) order PDE: Horns Sturm-Liouville (SL) Boundary Value (BV) problems;
Read: Greenberg pp. ???, 5.2
4F11/22L4: Sturm-Liouville BV Theory Solutions for 1, 2, 3 dimensions (seperation of variables)
Impedance Boundary conditions; The reflection coefficient and its properties;
Read: 4.4.1
-/47S11/23 Thanksgiving Break
-/49M12/2 Instruction Resumes
5/49M12/2L5a: WKB theory, Read: Greenberg, Ch. 20, 5.1-5.3 + Review p.290-1 ODE's with initial condition (vs. Boundary value problems)
L5b: Fourier: Integrals, Transforms, Series, DFT; History: Newton, d'Alembert, Bernoullis, Euler
6W12/4L6: The fundamental thm of vector calculus:
\(\mathbf{F}(x,y,z) = \nabla{\phi(x,y,z)} + \nabla \times \mathbf{A}(x,y,z)\)
Read: p. +++
Read: p. 5.9-5.9.3
-W12/11 Instruction Ends
-R12/12 Reading Day
- 12/12Review for Final: 2-4 PM Room 106B3 in Engineering Hall.
-/?? RTBD Final Exam: TBD Room: 441 ( UIUC Final Exam Schedule)
-/51F12/20 Finals End

 ||- || F || 5/?? ||  Backup: Exam III 7:00-10:00+ PM on HW1-HW11atest>><<

L= Lecture #
T= Topic #
W=week of the year, starting from Jan 1
D=day: T is Tue, W Wed, R Thur, S Sat, etc.
Each exam (I, II and Final) will count as 30% of your final grade, while the Assignments (NS1-12) plus class participation (Prof's Discuression), count for 10%.

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