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2009-2010 Bulletin – PDF - SEAS Bulletin - Columbia University

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189<br />

MINOR IN ARCHITECTURE<br />

1. Studio course (choose one from the<br />

following):<br />

ARCH V1020: Introduction to<br />

architectural design and<br />

visual culture<br />

3.0 points<br />

ARCH V3101:<br />

Arch representation: abstraction 4.0 points<br />

ARCH V3103:<br />

Arch representation: perception 4.0 points<br />

2–4. History/theory courses (see Note below)<br />

5. Elective course (must be either an<br />

approved second design studio or an additional<br />

history/theory course)<br />

Note: A list of the approved history/theory<br />

courses is available at the departmental<br />

office each semester.<br />

MINOR IN ART HISTORY<br />

1–7. Seven courses in art history, covering<br />

four of the following areas: (a) ancient<br />

Mediterranean, (b) medieval Europe, (c)<br />

Renaissance and baroque, (d) 18th, 19th,<br />

and 20th century, and (e) non-Western.<br />

MINOR IN BIOMEDICAL<br />

ENGINEERING<br />

The Biomedical Engineering program<br />

offers a minor in one of three tracks: (I)<br />

cellular engineering, (II) biomechanics,<br />

and (III) biomedical imaging. Students<br />

who wish to get a minor in biomedical<br />

engineering should take the core BME<br />

requirements, as well as select courses<br />

from one of the three tracks, described<br />

below. Participation in the minor is<br />

subject to the approval of the major<br />

program adviser.<br />

Core BME Requirements<br />

1. BIOL C2005: Introductory biology, I 4.0 points<br />

2. BMEN E4001:<br />

Quantitative physiology, I<br />

3.0 points<br />

or<br />

BMEN E4002:<br />

Quantitative physiology, II 3.0 points<br />

I. CELL AND TISSUE ENGINEERING TRACK<br />

3. CHEN E3010: Chemical engineering<br />

thermodynamics<br />

4.0 points<br />

or<br />

BMEN E4210: Thermodynamics<br />

of biological systems<br />

4.0 points<br />

4. BMEN E4501:<br />

Tissue engineering, I<br />

3.0 points<br />

5. BMEN E4502:<br />

Tissue engineering, II<br />

3.0 points<br />

6. One from the following courses:<br />

BMEN E3320:<br />

Fluid biomechanics<br />

3.0 points<br />

BMEN E4570: Science and engineering<br />

of body fluids<br />

3.0 points<br />

ECBM E3060: Introduction to<br />

genomic information<br />

3.0 points<br />

CHEN E3110:<br />

Transport phenomena, I<br />

4.0 points<br />

CHEN E4700: Principles of<br />

genomic technologies<br />

3.0 points<br />

MSAE E3103:<br />

Elements of materials science 3.0 points<br />

II. BIOMECHANICS TRACK<br />

3. BMEN E4300:<br />

Solid biomechanics<br />

3.0 points<br />

4. BMEN E3320:<br />

Fluid biomechanics<br />

3.0 points<br />

5–6. Two from the following course groups:<br />

ENME E3113:<br />

Mechanics of solids<br />

3.0 points<br />

ENME E3161:<br />

Fluid mechanics<br />

4.0 points<br />

or<br />

MECE E3100: Introduction to<br />

mechanics of fluids<br />

3.0 points<br />

MECE E3301:<br />

Thermodynamics<br />

3.0 points<br />

or<br />

MSAE E3111:<br />

Thermodynamics, kinetic theory,<br />

and statistical mechanics 3.0 points<br />

III. BIOMEDICAL IMAGING TRACK<br />

3. BMEN E4894:<br />

Biomedical imaging<br />

3.0 points<br />

4–5. Two from the following courses:<br />

BMEN E4430: Principles of<br />

magnetic resonance imaging 3.0 points<br />

BMEN E4400:<br />

Wavelet applications in biomedical<br />

image and signal processing 3.0 points<br />

BMEN E4898:<br />

Phototonics<br />

3.0 points<br />

BMEN E4410: Ultrasound in<br />

diagnostic imaging<br />

3.0 points<br />

BMEN E4420: Biomedical signal processing<br />

and signal modeling<br />

3.0 points<br />

6. One from the following courses:<br />

ELEN E3801:<br />

Signals and systems<br />

3.0 points<br />

ELEN E4810:<br />

Digital signal processing<br />

3.0 points<br />

ELEN E4830:<br />

Digital image processing<br />

3.0 points<br />

MINOR IN CHEMICAL<br />

ENGINEERING<br />

Of the six courses required, at least<br />

three must have the CHEN, CHEE,<br />

or CHAP designator:<br />

1. CHEN E3100:<br />

Material and energy balances 4.0 points<br />

2. CHEN E3010: Principles of chemical<br />

engineering thermodynamics 4.0 points<br />

or<br />

<strong>SEAS</strong> <strong>2009</strong>–<strong>2010</strong>

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