 ## ECE498-ECENeuroScience-S20

### 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;
3F8/23L2: Why is neuroscience important, and why engineers should care
-/36M1/27L3: What is a lipid bilayer and how do neurons work
Read & Study: Solving simple differential equations
4W1/29L4:
Assignment: NS1 ...
5F1/31L5: Guest Lect 1
6/37M2/3L6: Guest Lect 2
7W2/5L7: Guest Lect 3
Assignment: NS2, Due 1 week
NS1 due
8F2/7L8:
9/38M2/10L9:
10W2/12L10:
Assignment: NS3
AE2 due
11F2/14L11:
12/39M2/23L12:
System postulates
13W2/25L13:
NS3 due
14F2/27L15a:
15/40M2/30Review for Exam I; Exam I, 7-10PM Rm TBD
 Part II: xxx 1 W 10/2 L1: Assignment: DE1 Read: 2 F 10/4 L2: Read: 3/41 M 10/7 L3: Read: 4 W 10/9 L4: Assignment: NS4NS3 DueRead: 5 F 10/11 L5: Multi-valued complex analytic functionsBranch cuts and their properties (e.g., moving the branch cut)Examples of multivalued functionColorized 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 6/42 M 10/14 L6: Three Cauchy integral theorems: CT-1, CT-2, CT-3How to calculate the residueRead: 4.5+ 7 W 10/16 L7: Inverse Laplace transform ($$t<0$$), Application of CT-3DE2 DueAssignment: DE3Read: 4.7+ FS 10/18 Engineering Open House 8 F 10/18 L8: Inverse Laplace transform ($$t\ge0$$) CT-3 Read: 4.7.1 9/43 M 10/21 L9: Properties of the Laplace transform Linearity, convolution, time-shift, modulation, derivative etcSolving differential equations: Train problem (DE3, problem 2, p. 191, Fig. 4.10)Read: 4.7.2, 4.7.3 10 W 10/23 L10: Differences between the FT and LT DE3 Due
 Part III: Vector Calculus (9 Lectures) 1 F 10/25 L1: Properties of Fields and potentialsRead: 5.1Assignment: VC1 2/44 M 10/28 L2: 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 $$N$$ dimensionsRead: 5.1.1, 5.1.2 3 W 10/30 L3: Field evolution for partial differential equations Read: 5.2+ 4 F 11/1 L4: Scalar wave equation (Acoustics)Read: 5.3+ 5/45 M 11/4 L5: Webster Horn equation Three examples of finite length hornsSolution methods; Eigen function solutionsRead: 5.4+, 5.6+ Assignment: VC2VC1 Due 6 W 11/6 L6: Integral forms of $$\nabla()$$, $$\nabla\cdot()$$ and $$\nabla \times()$$ Read: 5.7-5.7.4 7 F 11/8 L7: Helmholtz decomposition Read: 5.7.5 8/46 M 11/11 L8: second order operators DoG, GoD, gOd, DoC, CoG, CoC Read: 5.7.6 VC2 Due W 11/13 NO Lecture due to Exam II; Class time will be converted to optional Office hours, to review home work solutions and discuss exam 9/46 W 11/13 Exam II @ 7-10 PM; Room: 447AH (Alt Hall)
 Part IV: Maxwell's equation and their solution 1 F 11/15 L1: Unification of Electricity and MagnitismRead: 5.8+, Symmetry in physics 2/47 M 11/18 L2: Derivation of the wave equation from 2 first-order equationsWebster Horn equation: vs separation of variables method; integration by partsRead: 5.8.2; Greenberg pp. ?? 3 W 11/20 L3: 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 4 F 11/22 L4: 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 -/47 S 11/23 Thanksgiving Break -/49 M 12/2 Instruction Resumes 5/49 M 12/2 L5a: 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 6 W 12/4 L6: 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. +++ 7 F 12/6 L:7 Read: 8/50 M 12/9 L8: Read: p. 5.9-5.9.3
 - W 12/11 Instruction Ends - R 12/12 Reading Day - 12/12 Review for Final: 2-4 PM Room 106B3 in Engineering Hall. -/?? R TBD Final Exam: TBD Room: 441 ( -/51 F 12/20 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%.