Department of Agricultural and Biological Engineering, University of Illinois

List of Math, Statistics & Electronics Courses

Math Requirement

January 23, 2006

Our Agricultural and Biological Engineering Graduate Handbook states: “at least one course in mathematics beyond (undergraduate) differential equations is required for the MS degree. One additional math course is required for the Ph.D. degree (effective for Fall 2005 entering students). A list of acceptable math courses includes the following with other courses which may be considered subject to Graduate Committee approval. Note that Ph.D. students are expected to have at least one math course from the M.S. degree and one more math course from the Ph.D. list. A statistics course does not meet the math course requirement even if the statistics course is offered by the Math Department. The math course requirement cannot be taken credit no/credit.

Course (old)	Credits	Prerequisite	Title
Math 442 (342)	3 or 4 hr	Math 385 or 441	Intro to partial differential equations
Math 489 (385 )	3 or 4 hr	Math 385 or 441	Differential equations II
Math 488	4 hr	Math 380	Math methods in engineering
Math 553 (444)	4 hr	Consent of instructor	Partial differential equations
Math 450 or CS 450 or ECE 491	3 or 4 hrs	Math 415, Math 385, 386, or 441 or consent	Intro to numerical analysis
Math 444	3 or 4 hr	Math 242 or 243; 347 or 348	Elementary real analysis
Math 447	3 or 4 hr	Math 242 or 243; 347 or 348	Real variables
Math 412	3 or 4 hr	Math 347 or 348 or CS 273	Graph theory
Math 413	3 or 4 hr	Math 347 or 348	Intro to combinatorics
Math 432	3 or 4 hr	Math 347 or 348	Set theory and topology
Other courses may be considered

Table 2. List of ‘Math’ Courses above Differential equations for M.S. credit in addition to those in Table 1.

Course	Credits	Prerequisite	Title
Math 490	3 hrs	Consent of instructor	Math issues in national security II
ME 471 ot AE 420 or CSE 451	3 or 4 hr	AE 470 or CS101 and ME370 or consent	Intro to finite element analysis
ChBE 521	3 or 4 hr	Consent of instructor	Applied math in ChBE
ECE 515	4 hr	ECE 486 or consent	Control system theory & design
ECE 517	4 hr	ECE 515	Nonlinear & adaptive control
Other courses may be considered

NRES 515, Math 415, and Math 463 is not allowed for math credit effective Fall 2005.

500 Level Courses

Our handbook states that a student must take "a 500-level course or courses with a minimum of 3 hours (0.75 units) in the area of specialization (normally not a special problem)."

Statistical design and analyses

Our handbook states that at least one course in statistical design and analyses must be taken by M.S. students and by Ph.D. students if not previously taken. If the statistics course is taken at the M.S. level, conceivably the Ph.D. student would not be required to take another statistics course, unless the advisor recommends more statistical analysis or design. The statistics course requirement cannot be taken credit no/credit. A possible list of courses is listed in Table 3.

Table 3. Possible Courses in Experimental Design and Statistical Analysis

Course	Credits	Prerequisite	Title
ABE 445	4 h	CPSC 440 or Math 363	Statistical methods
CPSC 540	4 h	CPSC 440	Design and analysis of biol. Experiments
Stat 410 Math 464	3 or 4 h	Stat 400	Statistics and probability II
Stat 420 Math 469	3 or 4 h	Stat 400 or 408	Methods of applied statistics
Stat 424 Math 365	3 or 4 h	Stat 410 and Math 415	Analysis of variance
Stat 425	3 or 4 h	Stat 410	Applied regression and design
Stat 571	4 h	Stat 410 and Math 415	Multivariate analysis
NRES 515	5 h	Math 242	Fundamentals of Geostatistics
Other courses may be considered

Undergrad ABE 440, Stat 400 and Math 463 are not allowed for statistics credit effective with Fall 2005 class. The 400 level courses would still carry graduate credit.

Instrumentation and Measurement

Our handbook states that at least one course in instrumentation and measurement must be taken by M.S. students and by Ph.D. students if not previously taken. If the instrumentation and measurements course is taken at the M.S. level, conceivably the Ph.D. student would not be required to take another instrumentation and measurements course, unless the advisor recommends it for the student’s particular research area.

Table 4. Possible Courses in Instrumentation and Measurement

Course	Credits	Prerequisite	Title
ABE 425	4 h	ECE 205	Eng Measurement Systems
ME 461	3 or 4 h	ME 360 or ABE 425	Design and analysis of biol. Experiments
Chem 423	4 or 5 h		Electronic Circuits I
ECE 414*	3 h	ECE 205 or 210 or consent	Biomedical Instrumentation
ECE 415*	2 h	ECE 414 or concurrent	Biomedical Instrumentation Lab
ECE 442 **	3 h	ECE 210 and 440	Electronic circuits
ECE 443 **	1 h	Concurrent registration in ECE442	Electronic circuits Lab
Other courses may be considered

* both taken together, ** both taken together