Description

 The basics of linear algebra and differential equations, with an emphasis on general physical and
engineering applications. Aimed at students who need the material for future coursework but do not
need as much depth and rigor as provided by MATH240/MATH461 and MATH246.

Prerequisites

 a C- or better in MATH 141

Topics

  1.  First-Order Differential Equations
    Differential equations and mathematical models
    General and particular solutions
    Linear equations and integrating factors
    Separable equations
    Exact equations
  2. Mathematical Models and Numerical Methods
    Population models
    Equilibirum solutions and stability
    Phase portraits
    Euler's method and improved Euler's method
  3. Linear Systems and Matrices
    Matrices and linear systems; row reduction and Gaussian elimination
    Reduced row echelon form; matrix operations
    Matrix inverses and determinants
    Linear equations and curve-fitting
  4. Vector Spaces
    R^n as a vector space and subspaces
    Linear combinations and independence of vectors
    Bases and dimension; column space and row space of a matrix
    Orthogonal vectors
  5. Higher-order Differential Equations
    Second-order linear equations; principle of superposition
    Homogeneous constant-coefficient equations
    Non-homogeneous equations; the method of undetermined coefficients
    Mechanical vibrations; forced oscillations and resonance
  6. Eigenvalues and Eigenvectors
    Eigenvalues and eigenvectors of matrices
    Diagonalization of matrices
  7. Linear systems of Differential Equations
    First-Order systems and applications
    The Eigenvalue method for linear systems
    Classification of phase portraits of linear planar systems
  8. Matrix Exponentials
    Matrix exponentials and linear systems
    Nonhomogeneous linear systems
  9. Nonlinear systems
    Stability and the phase plane for nonlinear systems; linear and almost-linear systems
  10. Laplace Transform Methods
    Laplace transforms and their inverses
    Applications to piecewise continuous forcing functions

Description

Introduction to effective and intuitive visual representations of data, including customizing graphics, plotting arrays, statistical graphics, and representing time series.

Prerequisites

STAT100, MATH135, or any 400 level STAT course; and DATA110 or DATA120.

Topics

Description

An introduction to data science i.e., the end-to-end process of going from unstructured, messy data to knowledge and actionable insights. Provides a broad overview of several topics including statistical data analysis, basic data mining and machine learning algorithms, large-scale data management, cloud computing, and information visualization.

Prerequisites

DATA110 or DATA120; and DATA200 and DATA250; or by permission of the DATA Program Director.
Restriction: Must not be a Computer Science major.
Jointly offered with: CMSC320.
Credit only granted for: CMSC320 or DATA320

Topics

Description

 Introduction to basic discrete mathematical and linear algebraic structures and use of these mathematical structures to solve programming problems. Logic, set theory, formal proof methodology, functions, and basic linear algebra.

Prerequisites

DATA110 or DATA120; and MATH141.

Topics

Description

 Course dedicated to the study of ethical issues associated with data science, including data collections, gathering existing data, ethical use of data, data analysis with teams, repeatability and reproducibility of data analysis, and academic and scientific integrity.

Prerequisites

STAT100, MATH135, or any 400-level STAT course.

Topics

Archives: F2011-S2012 F2012-S2013 F2013-S2014 F2014-S2015 F2015-S2016 F2016-S2017 F2017-S2018 F2018-S2019 F2019-S2020 F2020-S2021 F2021-S2022 F2022-S2023 F2023-S2024 

  • The Feynman-Lagerstrom criterion for boundary layers

    Speaker: Trinh Nguyen (Wisconsin)

    When: Thu, September 19, 2024 - 3:30pm
    Where: PHY 1201
  • Periodic homogenization of geometric equations without perturbed correctors

    Speaker: Jiwoong Jang (UMD)

    When: Thu, September 26, 2024 - 3:30pm
    Where: PHY 1201
  • Instantaneous continuous loss of regularity for the SQG equation

    Speaker: Wojciech Ozanski (FSU) 

    When: Thu, October 3, 2024 - 3:30pm
    Where: PHY 1201
  • Low regularity well-posedness of 2D capillary water waves

    Speaker: Lizhe Wan (University of Wisconsin-Madison) 

    When: Thu, October 17, 2024 - 3:30pm
    Where: PHY 1201
  • Rate of convergence in quasi-periodic homogenization of Hamilton-Jacobi equation

    Speaker: Son Tu (Michigan State)

    When: Thu, October 24, 2024 - 2:30pm
    Where: MATH 0401
  • Front propagation through a perforated wall

    Speaker: Hiroshi Matano (Meiji University)

    When: Thu, November 7, 2024 - 3:30pm
    Where: PHY 1201
  • Stochastic and deterministic moving boundary problems

    Speaker: Krutika Tawri (Berkeley) 

    When: Thu, November 14, 2024 - 3:30pm
    Where: PHY 1201
  • Global solutions to the obstacle problem

    Speaker: Alessio Figalli

    When: Thu, November 21, 2024 - 10:10am
    Where: MTH3206
  • Stability estimates in Sobolev type inequalities

    Speaker: Jean Dolbeault

    When: Thu, November 21, 2024 - 3:30pm
    Where: PHY 1201
  • Fully nonlinear equations in thin domains: a test function approach

    Speaker: Isabeau Birindelli (University of Rome I)

    When: Thu, December 5, 2024 - 3:30pm
    Where: PHY 1201
  • A new approach to regularity, well-posedness, and blow-up in the Boltzmann equation

    Speaker: Christopher Henderson (University of Arizona) - https://sites.google.com/view/ckhenderson

    When: Thu, January 30, 2025 - 3:30pm
    Where: Kirwan Hall 1313
  • Suppression of chemotactic singularity by some buoyancy-driven flows

    Speaker: Kevin Hu (Duke)

    When: Thu, March 27, 2025 - 3:30pm
    Where: MTH3206
  • Scalar balance laws with nonlocal singular sources

    Speaker: Khai Nguyen (NC State)

    When: Thu, April 3, 2025 - 3:30pm
    Where: MTH0307
  • The Euclidean Isoperimetric problem and its gradient flow: a phase transitions approach

    Speaker: Daniel Restrepo (John Hopkins)

    When: Thu, April 10, 2025 - 3:30pm
    Where: MTH3206
  • (Numerical Analysis Seminar) 𝐻² conforming virtual element discretization of nondivergence form elliptic equations

    Speaker: Guillaume Bonnet (Paris Dauphine)

    When: Thu, April 17, 2025 - 3:30pm
    Where: MTH3206
  • One-phase contact point dynamics in Hele-Shaw cells

    Speaker: Francisco Gancedo (IAS)

    When: Thu, April 24, 2025 - 3:30pm
    Where: MTH3206
  • Non-uniqueness for the Navier-Stokes equations from critical data

    Speaker: Stan Palasek (Princeton)

    When: Thu, May 1, 2025 - 3:30pm
    Where: MTH3206