In addition, you may review practice problems for midterm1 and midterm2.
Course: A calculus-level introduction to mathematical modeling and quantitative/statistical analysis of simple data structures;
Prerequisites: Calculus 1, elementary computer/graphic calculator programming skills;
Course: A calculus-level introduction to mathematical modeling and quantitative/statistical analysis of simple data structures;
Schedule and Room: Lectures: MW 6 (12:50 - 1:40 p.m.) in LIT 221; Computer Labs: section 8565 T 3-5 (9:35 a.m. - 12:35 p.m.) CBD 110B, section 8567 T 6-8 (12:50 - 3:50 p.m.) in CBD 110B.
Critical dates: Aug. 23 (classes begin), Dec. 5 (classes end).
Holidays:Sep. 3 (Labor Day), Nov. 2-3 (Homecoming), Nov. 12 (Veterans Day), Nov. 22-24 (Thanksgiving).
Office Hours: MW2 (8:30 -9:20 a.m.), and WF4 (10:40 - 11:30 a.m.) LIT 460, or by appointment. The students are also welcome to call me at 392-0281-296 or use e-mail: pilyugin@math.ufl.edu for communication. For more details, see my schedule.
Grading:Grades will be computed according to the formula: Score=4X10%(4 computer projects)+2X20%(2 midterms) +20%(final exam). Attendance can add up to 10% t o the score. The score determines the letter grade: A (>90%), B (>80%), C (>65%), D (>50%), E (<50%).
Course description: The course is designed for students who intend to do research in natural sciences. The course will introduce major concepts used in data processing, statistical analysis, and mathematical modeling. Theory will be integrated with real life applications and computer-based projects using MATLAB. The following topics will be covered:
Week Topic Notes 1 Data representation: discrete (vectors, matrices), continuous (functions), graphical (graphs, plots, histograms), vector spaces, metrics, complex numbers; Class notes 2 Data analysis: averages, variance/covariance, errors, noise; Class notes 3-4 Probability and statistics: probability distributions, random variables, conditional probability, independence, correlation, confidence, likelihood, linear regression, least squares; Class notes 5-6 Linear models: stochastic (transition probabilities, random walks, birth-and-death processes) vs. deterministic (exponential growth/decay); Class notes 7-8 Linear algebra: solving linear systems, matrix operations, linear transformations, projections, eigenvalues and eigenvectors; Class notes 9-11 Nonlinear deterministic models: positive/negative feedback, predator-prey, logistic growth, enzyme kinetics, homeostatic regulation, linearization, dynamical systems (equilibria, oscillations, introduction to bifurcations); Class notes 12-13 Optimization: root finding algorithms, optimality conditions, parameter estimation, data fitting, linear programming; Class notes Assignments:
Computer project 1 (Due: 09/19);.
Computer project 2 (Due: 10/19);.
Computer project 3 (Due: 11/14);.
Computer project 4 (Due: 12/05);.
Course policies: General policies; Submission of computer-based assignments;
Useful links: If you wish to install MATLAB on your personal computer, a student version is available from MathWorks for $99. This software does not expire and is a complete working version of MATLAB. A minor inconvenience is that running the student version of MATLAB requires a physical presence of a CD in the drive.
This page was last modified by Sergei S. Pilyugin on December 4, 2007.