
Methodology Core Descriptions
OVERVIEW
Computer Science M184  Introduction to
Cybernetics, Biomodeling & Biomedical Computing
Introduction & survey of topics in cybernetics, biomodeling, biocomputing
and related bioengineering disciplines. Lectures presented by faculty
currently performing research in these areas.
2 units (Pass/No Pass)
Requisites: Math 31A, 31B, PIC 10A or equivalent
Same as C&S Bio M184 and Biomed Eng M184
This course must be completed within 3 quarters of being admitted to
the major
Offered Fall Quarter only
PROBABILITY
Math 170A  Probability Theory
Probability distributions, random variables and vectors, expectation.
4 units
Requisite: Math 32B
Offered Fall, Winter and Spring Quarters
OR
Electrical Engineering 131A  Probability
Introduction to basic concepts of probability, including random variables
and vectors, distributions and densities, moments, characteristic functions
and limit theorems. Applications to communication, control and signal
processing. Introduction to computer simulation and generation of random
events.
4 units
Requisites: EE 102, Math 32B and 33B
Offered Fall and Winter Quarters
OR
Statistics 100A  Introduction to Probability
Probability distributions, random variables, vectors and expectation.
4 units
Requisites: Math 32B and 33A.
Offered Fall, Winter, and Spring Quarter.
STATISTICS
Statistics 100B  Statistics
Survey sampling, estimation, testing, data summary, one and twosample
problems.
4 units
Requisite: Math 170A or Statistics 100A or EE 131A
Offered Winter Quarter only
SYSTEMS & SIGNALS
Electrical Engineering 102  Systems and Signals
Elements of differential equations, first and secondorder equations,
variation of parameters method and method of undetermined coefficients,
existence and uniqueness. Systems: inputoutput
description, linearity, timeinvariance and causality. Impulse response
functions, superposition and convolution integrals. Laplace transforms
and system functions. Fourier series and transforms. Frequency responses,
responses of systems to periodic signals. Sampling theorem. Letter grading.
4 units
Requisites: EE 1 or Physics 1C, Math 33A, 33B
Offered every Fall, Winter, Spring Quarter
FEEDBACK CONTROL SYSTEMS
Electrical Engineering 141  Principles of Feedback
Control
Mathematical modeling of physical control systems in form of differential
equations and transfer functions. Design problems, system performance
indices of feedback control systems via classical techniques, rootlocus
and frequencydomain methods. Computeraided solution of design problems
from real world.
4 units
Requisite: EE 102
Offered Winter Quarter.
OR
Mechanical, Aerospace Engineering 171A  Introduction
to Feedback and Control Systems: Dynamic Systems Control I.
Introduction to feedback principles, control systems design and system
stability. Modeling of physical systems in engineering and other fields;
transform methods; controller design using Nyquist, Bode and root locus
methods; compensation; computeraided analysis and design.
4 units
Requisites: MAE 181A or MAE 182A or EE 102 or equivalent
Offered Fall, Winter and Spring Quarter; sometimes offered Summer Quarter
MODELING AND SIMULATION
Computer Science CM186/CM286 Computational Systems
Biology: Modeling and Simulation of Biological Systems
Dynamic biosystems modeling and computer simulation methods for studying
biological/biomedical processes and systems at multiple levels of organization.
Control system, multicompartmental, predatorprey, pharmacokinetic (PK),
pharmacodynamic (PD), and other structural modeling methods applied to
life sciences problems at molecular, cellular (biochemical pathways/networks),
organ, and organismic levels. Both theory and datadriven modeling, with
focus on translating biomodeling goals and data into mathematics models
and implementing them for simulation and analysis. Basics of numerical
simulation algorithms, with modeling software exercises in class and PC
laboratory assignments. Concurrently scheduled with course CM286B.
5 units
(Co)requiste: EE 102 or equivalent
Same as C&S Bio M186, Medicine CM186/286 and Biomedical Engineering
CM186/286
Offered Fall Quarter only
