Daniel Naylor

Classes Taken

Listed here is every class I've taken while in school, in descending order. Note the following range of courses

  • 1–99: Undergraduate, lower division
  • 100–199: Undergraduate, upper division
  • 200+: Graduate

For anyone interested, my course planner for my undergraduate degree can be found here.

Graduate Degree (UC Irvine)

  • Spring 2026
    • STATS 200C: Probability and Statistical Theory III (Dr. Zhaoxia Yu)
      • Interval estimation, hypothesis testing, decision theory, basic linear model theory.
    • STATS 212: Statistical Methods III: Methods for Correlated Data (Dr. Tianchen Qian)
      • Repeated measures ANOVA, linear mixed models, non-linear mixed effects models, and generalized estimating equations.
    • EECS 242: Information Theory (Dr. Syed Jafar)
      • Entropy, mutual information, asymptotic equipartition property, entropy rates of a stochastic process, data compression, channel capacity, differential entropy, the Gaussian channel.
  • Winter 2026
    • STATS 200B: Probability and Statistical Theory II (Dr. Bin Nan)
      • Sufficient statistics, point estimates, maximum likelihood, minimum variance estimators, confidence intervals, hypothesis testing.
    • STATS 205: Bayesian Data Analysis (Dr. Veronica Berrocal)
      • Likelihood principle, prior and posterior distributions, Markov Chain Monte Carlo.
    • STATS 211: Statistical Methods II: Generalized Linear Models (Dr. Daniel Gillen)
      • Theory and application of generalized linear models.
    • STATS 295: Spatial Statistics (Dr. Veronica Berrocal)
      • Spatial and correlated data, semi-variogram estimation, Gaussian Processes, Bayesian methods.
  • Fall 2025
    • STATS 200A: Probability and Statistical Theory I (Dr. Wenzhuo Zhou)
      • Basics of probability theory.
    • STATS 210: Statistical Methods I: Linear Models (Dr. Zhaoxia Yu)
      • Linear regression, inference, diagnostics.
    • STATS 295: Clinical Trials (Dr. Hengrui Cai)
      • Randomized controlled trials, observational studies, adaptive and pragmatic trial design, causal inference.

Undergraduate Degree (UC Santa Barbara)

Senior

  • Spring 2025

    • CMPTGCS 20: Introduction to Python (Dr. Richert Wang)
    • HIST 164C: Civil War and Reconstruction (Dr. John Majewski)
    • PSTAT 213C: Probability Theory (Dr. Ruimeng Hu)
      • Martingales, martingale convergence, stopping times, optional sampling, optional stopping theorem.
    • PSTAT 223C: Computational Finance (Dr. Mike Ludkovski)
      • Monte Carlo, Partial Differential Equation simulation, American options.

  • Winter 2025

    • MATHCS 120NT: Seminar in Number Theory (Dr. Yitang Zhang)
    • PHYS 7A: Basic Physics (Dr. Georgios Koutroulakis)
    • PSTAT 213B: Probability Theory (Dr. Ruimeng Hu)
      • Convergence of random variables, laws of large numbers, central limit theorem, large deviations.
    • PSTAT 223B: Financial Modeling (Dr. Jean-Pierre Fouque)
      • Stochastic models in finance, hedging of derivatives in equity, fixed income, and credit markets, portfolio allocation.

  • Fall 2024

    • MATHCS 128: Transition to Higher Mathematics (Dr. Karel Casteels)
    • MATH 240A: Differential Geometry (Dr. Matthias Wink)
      • Smooth manifolds, Lie groups, smooth functions, vector fields.
    • PSTAT 213A: Stochastic Processes (Dr. Tomoyuki Ichiba)
      • Discrete and continuous time Markov chains, random walks, branching processes, birth-death processes, Poisson processes, point processes.
    • PSTAT 223A: Stochastic Calculus (Dr. Jean-Pierre Fouque)
      • Brownian motion, stochastic calculus and stochastic differential equations, diffusion processes, related partial differential equations and Feynman-Kac formula.

Junior

  • Spring 2024

    • CH ST 1C: Chicano Studies (Dr. Dolores Inés Casillas)
    • MATH 111C: Galois Theory (Dr. Zheng Liu)
      • Fields, field extensions, Galois groups.
    • MATH 137A: Graph Theory (Dr. Karel Casteels)
      • Paths, circuits, trees, coloring, planarity.
    • PSTAT 262MC: Seminar in Monte Carlo (Dr. Alexander Shkolnik)

  • Winter 2024

    • MATH 111B: Ring Theory (Dr. Zheng Liu)
      • Rings, ideals, factorizations.
    • MATH 132A: Optimization (Dr. Karel Casteels)
      • Constrained and unconstrained optimization, linear search methods, gradient methods, Newton and Quasi-Newton methods.
    • MATH 260HH: Seminar in Mathematical Machine Learning (Dr. Paul Atzberger)
    • PSTAT 215A: Bayesian Inference (Dr. Alexander Franks)
      • Likelihood principle, prior and posterior distributions, Markov Chain Monte Carlo.

  • Fall 2023

    • MATH 111A: Group Theory (Dr. Darren Long)
      • Finite groups, homomorphisms, normal subgroups, quotients, direct products, and group actions.
    • MATH 201A: Measure Theory (Dr. Katy Craig)
      • σ-algebras, measures, Lebesgue integration.
    • MATH 206A: Matrix Analysis and Computation (Dr. Shivkumar Chandrasekaran)
      • Matrix computations, SVD, pseudoinverse, characterization of eigenvalues, perturbation theory.
    • PSTAT 207A: Statistical Theory (Dr. Andrew Carter)
      • Order statistics, estimation theory, likelihood, sufficiency, efficiency, maximum likelihood.

Sophomore

  • Spring 2023
    • MATHCS 108B: Linear Algebra (Dr. Karel Casteels)
      • Inner product spaces, projections, least-squares approximations, canonical form.
    • MATH 118C: Real Analysis (Dr. Darren Long)
      • Multivariate calculus, differential topology.
    • MATHCS 120FO: Linear Optimization (Dr. Maria Isabel Bueno Cachadina)
      • Linear inequalities, convex sets, simplex method.
    • MATHCS 122B: Complex Analysis (Dr. Gustavo Ponce)
      • Rouche's theorem, analytic continuation, conformal mapping, infinite products, harmonic functions.
  • Winter 2023
    • MATHCS 108A: Linear Algebra (Dr. Karel Casteels)
      • Vector spaces and subspaces, span and linear independence, linear maps, eigenvalues and eigenvectors.
    • MATH 118B: Real Analysis (Dr. Gustavo Ponce)
      • Continuity, differentiability, Riemann integrals.
    • MATHCS 122A: Complex Analysis (Dr. Gustavo Ponce)
      • Complex differentiation, analytic functions, Cauchy-Riemann equations, classification of singular points, residues.
    • RG ST 4: Intro to Buddhism (Dr. Gregory Hillis)
  • Fall 2022
    • MATH 104A: Numerical Analysis (Dr. Xu Yang)
      • Numerical methods, Newton method, composite integration, splines.
    • MATH 118A: Real Analysis (Dr. Geunho Lim)
      • Real numbers, topology of metric spaces, numerical sequences, infinite series.
    • MATHCS 121: Probability Theory (Dr. Alexander Shkolnik)
      • Random variables, probability measure.
    • WRIT 107J: Journalism Writing (Dr. Paul Mena)

Freshman

  • Spring 2022
    • INT 84AR: Honors Seminar in Mathematics (Dr. Dennis Labutin)
    • MATH 6B: Multivariable Calculus (Dr. Wenchuan Tian)
    • MATHCS 120FV: Game Theory (Dr. Karel Casteels)
      • Combinatorial game theory, zero-sum games, nim, Nash equilibrium.
    • MATHCS 117: Introduction to Real Analysis (Dr. Dennis Labutin)
      • Limits, sequences and series, continuity.
  • Winter 2022
    • INT 84CN: Honors Seminar in Afrofuturism (Dr. Michelle Petty-Grue)
    • MATH 4B: Differential Equations (Dr. Paul Atzberger)
    • MATH 6A: Multivariable Calculus (Dr. Wenchuan Tian)
    • MATHCS 101B: Problem Solving II (Dr. Karel Casteels)
  • Fall 2021
    • ARTHI 6F: History of Architecture (Dr. Richard Wittman)
    • CLASS 40: Greek Mythology (Dr. Helen Morales)
    • MATH 4A: Linear Algebra (Dr. Francesc Castella)