| Date | Notes |
| M 8/21 | Administriva, Introduction. Rope around the earth. Gaussian integral. |
| W 8/23 | Gamma function, Beta function. Approximation of integrals, Stirling's approximation for n! |
| F 8/25 | Begin Chapter 4. Sequences and series. Tests of convergence. Preliminary test. Comparison test. |
| M 8/28 | Sums of series. Integral test. Ratio test. Geometric series. Logarithmic series. Power law power series. |
| W 8/30 | Alternating series. Sample calculation. Expansions and limits in physics: Blackbody radiation. |
| M 9/4 | Labor Day (no class) |
| W 9/6 | Chapter 5, partial derivatives. Changing variables, expanding universe. Useful theorems. Thermodynamics and Maxwell relations. |
| F 9/8 | Hurricane Irma! (no class) |
| M 9/11 | Hurricane Irma!!! (no class) |
| W 9/13 | Hurricane Irma!! (no class) |
| F 9/15 | Implicit differentiation. Max/min with constraints, Lagrange multipliers. |
| M 9/18 | Begin Chapter 6. Multiple integrals. Change of variables, Jacobian, area in hyperbolic coordinates. Integrals along curves. |
| W 9/20 | Lengths of curves and areas of surfaces. |
| F 9/22 | Exam 1 (in class) |
| M 9/25 | Begin Chapter 7, Vectors. Dot product, δij. cross product, εijk. |
| W 9/27 | Chapter 10, Vector derivatives, product rules. Scalar, vector fields. Vector derivatives, gradient, divergence, curl. Second derivatives, Laplacian. |
| F 9/29 | Curl of a cross product. Gradient, divergence, Laplacian in polar (cylindrical) coordinates. Spherical coordinates. |
| M 10/2 | Chapter 11, integrals. Green's Theorem. Divergence Theorem, Stokes's Theorem. Equation of continuity. |
| W 10/4 | Flux, divergence for point charge: Dirac δ-function (Section 13.1.3). Properties of δ-function. |
| F 10/6 | Homecoming (no class) |
| M 10/9 | 3D δ-function. Regularization of point charge. Electromagnetism, charge conservation, electromagnetic waves. |
| W 10/11 | Chapter 3, Complex numbers. Euler's formula. |
| F 10/13 | Damped harmonic oscillator, RLC circuit. Chapter 24, Complex functions. Cauchy-Riemann relations. |
| M 10/16 | Cauchy's theorem. Cauchy's formula. |
| W 10/18 | Applying Cauchy's formula: ζ(2) as a contour integral. |
| F 10/20 | Complex contour integrals with branch cuts |
| M 10/23 | Matrix algebra, multiplication, determinant, inverse, transpose, trace. |
| F 10/27 | Exam 2 (in class) |
| M 10/30 | Eigenvalues: vibrational modes of a molecule. |
| W 11/1 | Rotations. Projections. Determinant, Trace invariants. |
| F 11/3 | Schwarz inequality, uncertainty principle. |
| M 11/6 | Eigenvalues and eigenvectors of self-adjoing linear differential operator, L = -i d/dθ. Fourier series. |
| W 11/8 | Fourier series for square wave; convergence, overshoot. numerical results. |
| F 11/10 | Veteran's Day (no class) |
| M 11/13 | Integral of square wave = triangle wave. numerical results. Derivative of square wave = δ-function, partial sum. numerical results. Parseval's theorem, |
| W 11/15 | L → ∞, Fourier transform. 2π variations. Lorentzian, Gaussian examples. δ-function. |
| F 11/17 | Fourier transform of "top hat". δ-function limits. Convolution. Parseval's theorem. Aside on Laplace transform, Mellin transform. |
| M 11/20 | Fourier transform solution of damped harmonic oscillator. Fourier transform solution of Poisson's equation. |
| W–F 11/22–24 | Thanksgiving (no class) |
| M 11/27 | Sturm-Liouville operator. Bessel equation. Orthogonal polynomials, Hermite polynomials. |
| W 11/29 | Hermite polynomials. Hermite series for sin(x), Taylor series for sin(x) |
| F 12/1 | Partial differential equations, Laplace/Poisson equation, wave equation, Schrö'dinger equation, heat equation. Separation of variables in Cartesian, spherical coordinates. |
| M 12/4 | Helmholtz equation, spherical waves, scattering, Born approximation. | W 12/6 | Exam 3 (in class) |