скачать Los Angeles Harbor College Program Review for MATHEMATICS Following the guidelines as approved by the Academic Senate, the College Planning Committee on October 16, 2003 and using the Steps as approved by the Academic Senate and the Academic Affairs Cluster Academic Program ReviewName of discipline: Mathematics Division chair: L. J. McKenzie Phone number: 3102334501 Names and type(s) of program(s): Mathematics Complete description of Mathematics AA degree requirements on page 8 Certificates program: None Skills certificates: None Complete list of discipline course offerings on pages 912 Complete course outline for Math 265 is listed on pages 13 – 21. Additional course outlines accepted by the Curriculum Committee can be found at http://www.lahc.edu/curriculum/index.html Current sample class syllabi for courses Math 121 and 275 are listed on pages 22 25 Current Unit Plan is listed on page 26
The Mathematics Department offers courses that meet AA degree, occupational and transfer programs requisites such as allied health, engineering, premed and physical sciences. Courses offered in this department vary from developmental/remedial to college sophomore level. The department supports special students' populations by closely working with college support services such as Counseling, Financial Aid and Special Services Programs. Mathematics is an integral part of many college programs that include at least one requisite course in this subject, and half of the competency requirement for the AA degree. The Mathematics Department meets the academic goal and strategies of the College by offering a flexible schedule of courses that accommodates morning, evening and Saturday student populations. Scheduling of courses is based on student demand and course rotations that allow students to complete their transfer requirements in a reasonable amount of time. Number of fulltime faculty FTEF BY SEMESTER since last review or previous three years: 9.0 FTE Number of adjunct FTEF BY SEMESTER since last review or previous three years: 11.0 FTE Number of FTEF taught as overload by fulltime faculty: 1.2 FTE Total FTEF BY SEMESTER since last review: 21.2 FTE
review or the previous three years: The last personnel change in the department took place in the year 2000 with the addition of a voluntary faculty transfer from another college within the district. One faculty retirement in 2002 was not replaced due to college budget constraints. Budget for equipment is 100% dependent on state block grant allocations, budget for supplies is100% dependent on College Swap meet revenues.
schedule for Spring 2004, or combined: GE credit courses: 15 Major required courses: 3 Elective courses: 0 Total sections: 18 Total WSCH: 727 GE courses: 3 Major required courses: N/A Elective courses: N/A Total WSCH: 727 Total WSCH to FTEF: 352
For past three years: 362, 471, 727 Degrees awarded: 0 Certificates awarded: N/A Skills certificates awarded: N/A
GE courses: Major required courses: N/A Elective courses: N/A Overall retention rate: 63%, 68%, 72%, 73%, 76 %( fall 1999 to 2003)
GE courses: Major required courses: N/A Elective courses: N/A Overall successful completion rate: 46%, 49%, 51%, 49%, 51 %( fall 1999 to 2003)
Faculty Recruitment: the department must develop an aggressive recruitment strategy to hire adjunct faculty. Due to Harbor’s proximity to at least five other community colleges, the department faces heavy competition when staffing adjunct assignments. ^ : additional math instructional staffing for the math lab to provide better service to students enrolled during evening hours and weekends. Student Recruitment: in order to increase enrollment in the advanced level mathematics courses, the department would like to attract a larger number of achieving students interested in pursuing computer science, engineering, mathematics and science careers. ^ : A long term goal for the department is to find a building to call its own. Since the college inception, the department has shared space with other disciplines. The department is slated to share a new building with the Communications, Social Science and Pace divisions in the near future. Student Placement: to ensure greater success in the math sequence of courses offered, the department must undertake a cyclical review of the testing instrument and cut off scores used to place students in math courses. After extensive review and discussion, the math department faculty opted to replace the present COMPASS placement instrument with ASSET.
Curriculum: Courses have been designed to fully prepare students to meet math competency requirements for the AA degree, math requirements for courses offered at the college, and CSU/UC transfer requirements. Instructional Assistance: the department operates an instructional math lab to supplement math instruction for students enrolled at the college. The math lab operates Monday through Saturday employing one instructional assistant and several peer tutors. Students: Under the leadership of M. Jimenez, students enrolled in Math 215 and 216 participate in service learning projects assisting local grade school teachers in the classroom. Partnerships: Together with Chemistry and Physics Departments on campus, the Math Department is an active participant of the Loyola Marymount Summer Research Program, CSUDH teacher prep program, UC Bridge Program and Jet Propulsion Laboratories Undergraduate Scholarship Program.
Department faculty visited the Campus Placement Center to get a first hand look at the math placement process. Recommendations to improve the placement of students into Math courses have been forwarded to the Matriculation Committee. Department faculty undertook a major textbook search for the Math 123A,B,C sequence during the spring 2005 term.
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Pursuing the philosophy that the study of mathematics is an integral part of the student’s preparation in all aspects of academic development, during the fall of 2000 the department collapsed the course offerings of Math 113, 114, 115, 125, 125A and 125B, with academic units varying from 2.5 to 5, into a cohesive three course of Math 123A, B and C sequence with equal academic units. The purpose of this modification was two fold: firstly to bring about order to a rather erratic course sequence with multiple paths and secondly to increase the retention rate in the entry level algebra sequence. Fall 2000 to 2004 data shows a modest increase in the retention rate for students undertaking the elementary and intermediate algebra sequence. Support Documentation Program: Mathematics Division: MathPhysical Sciences Beginning date of selfstudy Completion date of selfstudy Fall 2004 Fall 2005 Selfstudy committee members: M. Gagrat, C. Huff, M. Jimenez, K. Keller, F. Ma, L. McKenzie, J. Pavlina, Z. Romero, F. Saddigh Division chair: L. J. McKenzie Program faculty: M. Gagrat, C. Huff, M. Jimenez, K. Keller, F. Ma, L. McKenzie, J. Pavlina, Z. Romero, F. Saddigh Program staff: A. Vega  Secretary, N. Muro  Math Inst. Assistant Program administrator: N. Carson Vicepresident of cluster: Luis M. Rosas Professional or alumni: TBA Students: The department shares student enrollment patterns experienced nationwide. Enrollment is strong and parallels nationwide trends. ^ : The mission of the department is to provide students with a foundation of contemporary mathematics skills and competencies needed to satisfy a variety of degree and careers goals. Recognizing the diverse background of students, this foundation includes basic skills, transfer level and specialized courses that aim to contribute to workforce development and improvement. In all aspects of its mission, the department’s goal is to provide a supportive learning environment that imparts student success in analyzing, quantifying and developing critical thinking skills. The curriculum focuses on recognizing the interdependence between theory and application, enhancing it with the appropriate use of classroom technology.
Describe any unique institutional goals the program satisfies:
Number of major students: Unknown Numbers of sections, by year over five years: 63, 72, 64, 76, 59 (Fall 1999 to 2003) Number of students, by year over five years: 2330, 2257, 2029, 2583, 2393 (Fall 1999 to 2003) Number of fulltime faculty: (immediate past year) 10 Number of adjunct faculty: (immediate past year) 0 Total fulltime equivalent faculty: (immediate past year) 10.0 Ratio of students to FTEF: (immediate past year) Fulltime equivalent students (FTES): 289, 282, 289, 340, 316 (Fall 1999 to 2003) Number of permanent staff: (immediate past year) 2 Number of fulltime equivalent staff: (immediate past year) 2.0 Number of fulltime equivalent personnel: (immediate past year) 12.0 Gender breakdown of students: (immediate past year) Not relevant to this program Ethnic breakdown of student: (immediate past year) Not relevant to this program MATHEMATICS FOR COMPUTER SCIENCE  Major Code: 1701.01 Plan A A.S. Degree Program Requirements UNIT REQUIREMENTS: A minimum of 60 semester units of course credit in a selected curriculum which includes at least 30 semester units of general education coursework as specified in the College Catalog (GENERAL EDUCATION REQUIREMENTS GRADUATION PLAN A) and at least 18 semester units of study taken in a single discipline or related disciplines as indicated below (MAJOR REQUIREMENT). See course description for prerequisites since these will be strictly enforced. When planning their program of study, students should see a counselor. ^ Completion of each of the following courses with a grade of "C" or better: Units CHEM 102 General Chemistry II ........................................ 5 PHYS 38 Elect. Magnet. Optics ...................................... 5 MATH 165, 170, 175 Computer Programming ................................... 3 and MATH 270 Linear Algebra .................................................. 3 or MATH 275 Diff. Equations .................................................. 3 ENGLISH 101 College Reading and Composition I .............. 3 ^ which groups required major courses into four semesters. Students must also complete 30 units of General Education requirements from Graduation Plan A. Degree and Certificate Programs * 69 20042006 General Catalog Sample Program ^ Units +CHEM 101 General Chemistry I ......................................... 5 +ENGL 101 Reading and Composition I .............................. 3 +MATH 265 Calculus I ......................................................... 5 MATH 155 Introduction to Visual Basic .............................. 3 ^ CHEM 102 General Chemistry II ....................................... . 5 MATH 266 Calculus II ......................................................... 5 PHYS 37 Mechanics Solids, Sound ................................. 5 THIRD SEMESTER MATH 267 Calculus III ....................................................... .5 MATH 270 Linear Algebra ................................................. .3 MATH 165, 170, 175 Computer Programming ................................... 3 PHYS 38 Elect. Magnet. Optics ....................................... 5 ^ MATH 275 Diff. Equations .................................................. 3 MATH 165, 170, 175 Computer Programming ................................... 3 Additional G.E. Requirements ......................... 21 Total Units for this A.S. Degree .................... 74 + This course may count towards General Education Requirements ^ MATH 100  MATHEMATICS WORKSHOP (1) RPT 3 NDA Corequisite: Concurrent enrollment in a mathematics or mathematics related course. Laboratory 3 hours and 20 minutes per week. This course supplements all mathematics level courses by providing tutorial and selfhelp assistance. Offered on a credit/no credit basis only. ^ NDA Lecture 3 hours and 20 minutes per week. This course explores arithmetic concepts from a modern point of view. It includes discussion of prealgebra topics, applications of arithmetic in business and finance, and geometry. ^ Lecture 3 hours and 20 minutes per week. This course presents a review of arithmetic topics and an introduction to elementary algebraic topics including signed numbers, exponents, mathematical sentences, and linear equations. ^ Lecture 5 hours and 30 minutes per week. This course gives a rapid review of basic arithmetic with gradual introduction to the concepts of algebra, including signed numbers, exponents, polynomials, equations, graphs, systems of equations, inequalities, and quadratic equations. It contains applications of algebra to a wide variety of problems related to business and other sciences. This course is equivalent to Math 123 A and B. ^ Prerequisite: Completion of Math 123A & B or equivalent with a grade of “C” or better Lecture 3 hours and 20 minutes per week. This course covers the definitions, axioms and theorems of geometry relating to angles, lines, circles, polygons and polyhedra. The meaning and techniques of logical proof are emphasized. ^ Prerequisite: Completion of Math 112 with a grade of “C” or better, or placement by exam. Lecture 4 hours and 25 minutes per week for each module A, B and C. This course provides a combined study of elementary and intermediate algebra topics, fulfilling any intermediate algebra requisite. Topics covered include exponents, radicals, solutions of equations and inequalities, functions and their graphs, determinants, logarithms, sequences and series. Course is offered in a three modules Math 123A, B, C 4 units each. ^ Prerequisite: A grade of “C” or better in Mathematics 115 or equivalent. Also equivalent to Math 123C. Lecture 5 hours and 30 minutes per week. This course provides a study of the fundamental laws of algebra, exponents and radicals, solution of equations (linear, quadratic and some of higher degree), solution of systems of equations (linear and quadratic) graphic representation, functions, logarithms, determinants, binomial theorem and arithmetic and geometric sequences and series. ^ Prerequisites: A grade of “C” or better in Mathematics 155 or knowledge of BASIC programming; and Mathematics 123C, or equivalent. Lecture 3 hours and 20 minutes per week. Students are trained to use FORTRAN 77. Applications to science, business, engineering, and social studies are discussed. The intent of the course is to give students sufficient skill in using the computer to enable them to solve problems in their respective fields of study. ^ Prerequisite: A grade of “C” or better in Mathematics 123C or equivalent. Lecture 3 hours and 20 minutes per week. Introduction to problem solving methods and programming with VISUAL BASIC. Course covers the fundamentals of eventdriven, project oriented programming. ^ Corequisite: enrollment in a Mathematics Computer Programming course. Laboratory 2 hours and 10 minutes per week. This course is designed to facilitate and enhance the use of the Computer Center for students enrolled in mathematics computer programming courses. This course may be repeated three times. ^ PROGRAMMING (3) UC:CSU Prerequisite: A grade of “C” or better in Mathematics 123C or equivalent. Lecture 3 hours and 20 minutes per week. Introduction to objectoriented programming in C++. This course covers the fundamentals of control structures, I/O operations, classes and data abstractions, inheritance, polymorphism, file processing and overloading. ^ Completion of Math 123C with a grade of “C” or better Lecture 3 hours and 20 minutes per week. First of two courses in a sequence designed for elementary school teachers. Emphasis is on the pedagogy of sets and relations, numeration systems, basic problem solving, elementary number theory and their applications. ^ UC:CSU Completion of Math 215 with a grade of “C” or better Lecture 3 hours and 20 minutes per week. Second of two courses in a sequence designed for elementary school teachers. Emphasis is on the pedagogy of probability, statistics networks, basic geometry concepts and their applications. ^ Completion of Math 123C with a grade of “C” or better Lecture 4 hours and 25 minutes per week. This course is an introduction to probability, descriptive and inferential statistics including measures of central tendency and dispersion, sampling and estimation. Hypothesis testing, analysis of variance, tests of independence, linear correlation and regression analysis are also covered. ^ Prerequisite: A grade of “C” or better in Mathematics 123C or equivalent. Lecture 3 hours and 20 minutes per week. This course surveys selected topics in modern algebra including voting methods, apportionment, mathematics of finance, number theory, probability, statistics and graph theory. (CAN MATH 2) ^ Completion of Math 123C with a grade of “C” or better Lecture 5 hours and 30 minutes per week. The objective of this course is to expose students to various mathematical techniques required in solving business and social science related problems. The topics cover a brief survey of basic algebra, together with the theory of matrices, simplex method, and their applications in linear programming. In addition, the course also covers mathematics of finance, probability theory with applications to statistics, the binomial and normal distributions. ^ SCIENCE (5) UC:CSU Prerequisite: Completion of Math 245 with a grade of “C” or better. Lecture 5 hours and 30 minutes per week. This course consists of basic concepts of differential and integral calculus in single variables with applications for business, life and social sciences. Topics include limits, derivatives, maxima and applications, integration techniques with applications, and graphs. (CAN MATH 34) ^ Prerequisites: Completion of Math 121 and 123C with a grade of “C” Lecture 3 hours and 20 minutes per week. This course provides a study of the circular functions and equations, as well as formulas related to angles and the solution of triangles and their applications to other sciences. (CAN MATH 8) ^ Prerequisite: Completion of Math 123C with a grade of “C” or better Lecture 3 hours and 20 minutes per week. This course is designed for students who are looking for a transferable course that satisfies the college algebra requirements, as well as for students who wish to pursue Math 235, 236 sequence ^ Prerequisite: A grade of “C” or better in Mathematics 123C or equivalent. Lecture 5 hours and 30 minutes per week. Topics in college algebra such as induction, the binomial theorem, theory of equations, arithmetic and geometric series, determinants and matrices. Function analysis and analytic geometry topics also covered. (CAN MATH 16) ^ Prerequisites: Completion of Math 240 and 260 with a grade of “C” or better. Business majors are urged to take Mathematics 235 and 236 instead of Mathematics 260 and 265 unless they plan to take additional calculus courses. ^ This is the first in a sequence of three courses in calculus and analytic geometry. Topics include functions, limits, continuity, derivatives, integrals of rational and trigonometric functions. Applications include topics in engineering and physics. (CAN MATH 18) ^ Prerequisite: Completion of Math 265 with a grade of “C” or better. Lecture 5 hours and 30 minutes per week. This course includes applications of integrals to work and pressure, exponential, logarithmic, inverse trigonometric and hyperbolic functions. Additional topics include integration techniques, improper integrals, L’Hopital’s Rule, infinite series and analytic geometry of conic sections. (CAN MATH 20; MATH 265+266 = CAN MATH SEQ B) ^ Prerequisite: Completion of Math 266 with a grade of “C” or better. Lecture 5 hours and 30 minutes per week. This course includes polar spherical and cylindrical coordinates; parametric equations, vector algebra and calculus in two and three dimensions; partial derivatives; multiple integrals and applications. (CAN MATH 22) ^ Prerequisite: Completion of Math 266 with a grade of “C” or better. Recommended corequisite: Concurrent enrollment in Math 267. Lecture 3 hours and 20 minutes per week. Matrix algebra, vector spaces, linear transformations and matrices are included in this course. There is emphasis on theory and applications. (CAN MATH 26) 275  ORDINARY DIFFERENTIAL EQUATIONS (3) UC:CSU ^ Lecture 3 hours and 20 minutes per week. This is a course in differential equations with emphasis on applications in physical science. Traditional methods of solution by closed forms are studied together with series solutions and numerical methods of solution. La Place transforms are also included. (CAN MATH 24) ^ Prerequisite: Completion of Math 123C with a grade of “C” or better or equivalent. * UC credit may be granted by petition after transfer. MATH 285  DIRECTED STUDYMATH (2) UC*:CSU Prerequisite: Completion of Math 123C with a grade of “C” or better * UC credit may be granted by petition after transfer. ^ Prerequisite: Completion of Math 123C with a grade of “C” or better Conference 1 hour and 5 minutes per week per unit. Allows student to pursue directed study in Math on a contract basis under the direction of a supervising instructor. * UC credit may be granted by petition after transfer. Credit limit: A maximum of 3 units in Directed Study is allowed for any combination of Math 185, 28 5 and 385. ^ Mathematics is approved for Cooperative Work Experience Education credit. See Cooperative Education courses for prerequisites, course descriptions, and credit limits. LOS ANGELES HARBOR COLLEGE COURSE OUTLINE Associate Degree Applicable Course TOP CODE: 1701.00 Non Associate Degree Applicable Course NEW Course ADDITION of a District Course Revision/Update Date: 05/06/05 Distributive Learning Curr. Comm. Date: 05/21/05 1. DEPARTMENT/DISCIPLINE: Mathematics 2. SUBJECT: Mathematics SUBJECT CODE: 589 3. COURSE TITLE: Calculus with Analytic Geometry I COURSE NUMBER/LETTER: 265 4. HOURS PER WEEK: Lecture 5 hrs. Lab 0 hrs. Discussion hrs Other: (Specify) total hrs/wk 5 UNITS: 5 5. REPEATABILITY: None RPT1 RPT2 RPT3 6. PREREQUISITE AND/OR COREQUISITE: Completion of Math 240 and Math 260 with a grade of "C" or better 7. COURSE CATALOG DESCRIPTION: (Please limit to 50 words)
^ Course Articulation Classification Requested: Approved/Date/Signature: Acceptable for Credit, University of California Acceptable for Credit, California State Universities Baccalaureate Occupational Precollege level, prerequisite and/or Developmental 9. TEXTBOOKS: (List all publications that students are required to use, plus any recommended college level readings) (Also required for courses offered in a Distributive Learning format in order to be transferable.) Author: Anton/Bivens/Davis Title: Calculus Publisher: Wiley Edition: Seventh Author: Title: Publisher Edition:
10. MATERIALS & SUPPLIES: (List materials and supplies that are REQUIRED for this course. For Distributive Learning courses: Students are required to have a personal Email address & Internet access through a private provider.) ^ STUDENT PROVIDED: Text book and hand held scientific calculator Not Applicable 11. COURSE ENTRY SKILLS, OBJECTIVES / EXIT SKILLS: A. ENTRY SKILLS: [Minimum of Five (5)] State performance skills and behaviors in specific and measurable terms.^
^ : [Minimum of five (5)] State performance behaviors and skills in specific and measurable terms. These skills become the entry skills for the next course. As a result of completing this course, THE STUDENT WILL BE ABLE TO:
12. ^ Competencies Time Money Material and Facilities Human Resources Information (Acquires and uses information.) Acquires/Evaluates Organizes/Maintains Interprets/Communicates Uses Computers Technology (Works with a variety of technologies.) Selects Applies to tasks Maintains and troubleshoots equipment Thinking Skills Creative Thinking Decision Making Problem Solving Symbolic Thinking Application of learning techniques Reasoning Interpersonal (Works with others.) Serves as team member Teaches others Serves clients/customers Exercises Leadership Negotiates Works with diversity Systems (Understands complex interrelationships.) Understands systems Monitors/corrects systems Improves/designs systems Fundamentals Reading Writing Mathematics Listening Speaking Personal Qualities Responsibility Self Esteem Sociability Self Management Integrity ^ A. WRITTEN ASSIGNMENTS Req. Opt. Req. Opt. Essay(s) Journals Term Paper(s) Homework Report(s) Email/Bulletin Boards Summaries & Analyses Internet/Chat Rooms ^ Req. Opt. Req. Opt. Req. Opt. Logic Computation Art Projects Music Interpretations Drafting/Graphics Proofs Applications Other (Drawing & geo. const.) C. SKILLS Req. Opt. Req. Opt. Req. Opt. Verbal Analytical Laboratory Written Physical Computer Other ( ) ^ Req. Opt. Req. Opt. Field Trips Readings Lectures Research Projects Meetings Computer Projects Skill Practice Library Work Special Films and TV Programs Other( ) ^ Req. Opt. Req. Opt. Problem Solving Translation Class Research Syntheses Analyses Interpretations Comparing and Contrasting Comprehension of Subject Matter Evaluating Significance Creating/Formulating Ideas Setting Up Proofs Other ( ) ^ Req. Opt. Req. Opt. Lecture Term Project Lecture/Discussion Oral Drills Lecture/Laboratory Work Experience Laboratory Computer Interactive Assignments Demonstration Guided Discussion Written Assignments Discussion/Seminar Reading Assignments Independent/Directed Study Mediated TV Oneonone Conference TV/Audio Visual Digitized/Modem Guest Speakers ISDN/CODEC (Videoconference) Small Group Experience Internet Access Field Experience Email Address Other ( ) Other ( ) ^ (Please outline by topics or activities and include time schedule or week) (DistributiveLearning courses: Allocation of time may [or may not] be consistent with traditional course hours/weeks. It will vary from student to student. See approved course outlines for examples.)
Note: The Carnegie Rule and Title 5 section 55002 sets forth the minimum standards which require: 1 hour lecture with 2 hours homework = ^ Lecture also includes discussion and/or demonstration 2 hours of lab with homework = 1 unit 3 hours of lab without homework = 1 unit. laboratory includes activity and/or studio hours. State number of hours (90) for activities if scheduled in less than one semester. Use additional pages if necessary. ^ (Multiple measures, which are consistent with the course objectives, content and scope, must be used to determine student’s final grade. Student performance will be evaluated by essay unless problem solving or skill demonstration is more appropriate.) Req. Opt. Req. Opt. Quizzes, Unit Tests, Midterms Essays Final Exam Term Papers, Projects and Reports Laboratory Reports Homework Assignments Observation Record of Student Oral Presentations Performance Questionnaires Class Participation Standardized Tests Written Compositions Other ( ) ^ The instructor and acquisitions librarian have evaluated the library materials relating to this course and noted relevant supporting materials and needs. Acquisitions Librarian __________________________________________ Date ________________________ The above signature does not denote approval or disapproval of this course. Signature is not required for routine course revisions, which do not have substantive changes. ^ The instructor has consulted with the LAN Administrator and Distance Education Coordinator regarding needed support related to this course. This support may include use of college facilities, assistance in preparation of materials to be sent over the ISDN lines in digitized format, and provision for intellectual property rights of the instructor. LAN Administrator ____________________________________________ Date ________________________ Distance Education Coordinator __________________________________ Date ________________________ The above signatures do not denote approval or disapproval of this course. Signatures are not required for routine course revisions that do not have substantive changes. ______________________________________________ ______________________________________________ Prepared by Date Division Chair Date _______________________________________________ _____________________________________________ Curriculum Committee Chair Date Vice President of Academic Affairs Date ^ STANDARDS AND CRITERIA FOR APPROVAL OF CREDIT COURSES Name of Course: Math 265  Calculus Using the Official Course Outline, please determine whether or not the above listed credit course meets the following standards and criteria required in Title 5, Part VI of the California Administrative Code, and which has been designated as appropriate to the Associate Degree. Place a mark (X) in the appropriate box. For courses applicable for an Associate Degree all criteria must be met. For courses NOT applicable for an Associate Degree only criteria marked with an (*) must be met.
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___________________________________________________ DATE ________________________ Curriculum Committee Chairperson Fall 2005, Thursdays 6:5510:05, LAC 113A
