Courses

Current Semester:

Exams from previous 6406/6407 semesters can be found here

Titles of previous final projects for MAD 6406/6407

MAD6406

Relating Singular Value Decomposition and the Principal Component Analysis
An Empirical Inspection into the Stability of CycleGAN and Pix2Pix
Singular Value Decomposition inPrincipal Component Analysis
Conjugate Gradients
Dynamic Factor Models and Their Application to Inflation
Generation of Orthogonal Random Matrices
Error analysis of coordinate system transformation in robot geometry
Diagonalization Strategies in Ab Initio Quantum Chemistry
Application of principal component analysis in clay-water contact angle determination
Mean-variance portfolio optimization using an ill-conditioned covariance matrix
Ridge regression and MAD6406
Arnoldi Iteration
Brief history of automated reasoning and some applications
Use of Matrix Decompositions in Microbiome Data Analysis
A conditional analysis of the least squares orbit determination problem
Bi-cross-validation for the selection of rank in low-rank matrix approximations, with application to single-cell genomics data
Scaling optimal control problems for improved convergence and increased precision
A closer look at algorithm of direct micromechanics method (DMM)
Machine learning problems with PCA and SVM
Numerical analysis of Jacobi’s constant in the circular restricted three-body problem
Floating point representation and its relevance in the field of optimal control

MAD6407

Implementing the Method of Sturm in MATLAB
Cubic splines in regression problems
Infinite interpolation
Approximating the Prime Counting Function pi(x) via Bernstein Polynomials
Modeling the proliferation of a virus within a host
Using Least-Squares Approximation and Cubic Spline for Levelset Methods based Process Simulation of IC Fabrication
Sensitivity to initial conditions in the Hodgkin-Huxley equation
Multistep methods
Approximate Anderson acceleration: An empirical inspection
Finite elements for 2D heat transfer

Previous Semesters

  • Spring, 2023
  • Fall, 2022
    • MAD 4401 Introduction to Numerical Analysis (2 sections)
  • Spring, 2022
  • Fall, 2021
  • Spring, 2021
  • Fall, 2020
  • Spring, 2020
  • Fall, 2019
  • Spring, 2019
  • Fall, 2018