# 2011-12 Pre-combined Plan Curriculum Guide

for Notre Dame of Maryland University students for Columbia University’s Engineering Program

## Foundation Courses Required of All Majors at Notre Dame in Pre-engineering

i. MATHEMATICS

The full sequence of Calculus I, II, III, IV (MAT 211, 212, 213, 214)

ii. PHYSICS

Mechanics and Thermodynamics (PHY 101)

Electricity, Magnetism, and Optics (PHY 102)

Classical Wave and Quantum Waves (PHY201)

iii. CHEMISTRY

General Chemistry I (CHM 110)

General Chemistry II (CHM 111)

iv. LAB REQUIREMENT

Either one-semester physics lab or one-semester chemistry lab is generally required.

General Physics I Lab* (PHY101), General Physics II Lab* (PHY102),

General Chemistry I Lab* (CHM110), General Chemistry II Lab* (CHM 111)

v. COMPUTER SCIENCE

Introduction to computer science and programming in C++, JAVA , or MATLAB

(CST171 or CST 295)

Some majors require a specific programming language (see requirements for majors below).

vi. HUMANITIES AND SOCIAL SCIENCES

Twenty-seven-(27) non-technical credit hours. Please speak with your liaison in regards to which courses fulfill this requirement,institution often fulfills this requirement. Among these courses the students must include:

Principles of Economics (ECO 212)

English Composition (ENG 101).

## Required Major Specific Courses

(Notes in italics clarify requirements.)

APPLIED MATHEMATICS or APPLIED PHYSICS

MATHEMATICS

Ordinary Differential Equations (MAT 315)

PHYSICS

Classical and Quantum Waves (See Foundation Courses)

Physics Lab (See Foundation Courses)

CHEMISTRY / BIOLOGY (choose one course listed below. Chemistry/Biology labs not required.)

General Chemistry I (See Foundation Courses)

Environmental Biology: Molecules to Cells (BIO 230)

Introduction to Molecular and Cellular Biology (BIO 111)

BIOMEDICAL ENGINEERING (ALL TRACKS)

MATHEMATICS

Introduction to applied mathematics Ordinary Differential Equations & Linear Algebra (MAT

315 and MAT 243)

PHYSICS

Classical and Quantum Waves (See Foundation Courses)

CHEMISTRY

General Chemistry II (See Foundation Courses)

General Chemistry Lab (See Foundation Courses)

Organic Chemistry I (CHM 210)

ELECTRICAL ENGINEERING

Introduction to Electrical Engineering [may be taken the summer before entering or while at Columbia]

ENGINEERING MECHANICS

Mechanics (PHY316L**) [may be taken the summer before entering or while at Columbia]

COMPUTER SCIENCE

Introduction to Computer Science and Programming in MATLAB (COMS W1005) preferred (See Foundation courses.

MatLab programming may be available through Cooperating College program such as EG 120L**.)

CHEMICAL ENGINEERING

MATHEMATICS (choose one course listed below)

Ordinary Differential Equations (MAT 315)

Introduction to applied mathematics Ordinary Differential Equations & Linear Algebra (MAT 243)

PHYSICS

Physics Lab (Foundation Courses)

CHEMISTRY

General Chemistry II (See Foundation Courses)

General Chemistry Lab (See Foundation Courses)

Organic Chemistry I (CHM 210)

Organic Chemistry Lab (CHM 210*)

CIVIL ENGINEERING

MATHEMATICS

Introduction to applied mathematics Ordinary Differential Equations & Linear Algebra (MAT 315 and MAT 243)

PHYSICS/CHEMISTRY LAB (choose one course listed below)

Physics Lab (See Foundation Courses)

General Chemistry Lab (See Foundation Courses)

ENGINEERING MECHANICS

Mechanics (PHY316L**)

Introduction to Computer Science and Programming in MATLAB (COMS W1005) preferred

(See Foundation courses. MatLAB programming may be available through Cooperating College program as EG 120L**.)

COMPUTER ENGINEERING

MATHEMATICS

Introduction to applied mathematics Ordinary Differential Equations & Linear Algebra (MAT 315 and MAT 243)

PHYSICS/CHEMISTRY LAB (choose one course listed below)

Physics Lab (See Foundation Courses)

General Chemistry Lab (See Foundation Courses)

COMPUTER SCIENCE (Computer Programming in JAVA is required.)

(See Foundation Courses and CST 321)

Discrete Mathematics (MAT 110)

ELECTRICAL ENGINEERING

Introduction to Electrical Engineering (ELEN E1201) [may be taken the summer before entering or while at Columbia]

COMPUTER SCIENCE

PHYSICS/CHEMISTRY LAB (choose one course listed below)

Physics Lab (See Foundation Courses)

General Chemistry Lab (See Foundation Courses)

COMPUTER SCIENCE (Computer Programming in JAVA is required (See Foundation Courses and CST 321)

Data Structures and Algorithms (CST 295 and CST 296)

Discrete Mathematics (MAT 110)

Scientific Computation (May be taken in the Cooperating College program)

EARTH AND ENVIRONMENTAL ENGINEERING

MATHEMATICS

Introduction to applied mathematics Ordinary Differential Equations & Linear Algebra (MAT 315 and MAT 243)

CHEMISTRY

General Chemistry II (See Foundation Courses)

General Chemistry Lab (See Foundation Courses)

OTHER SCIENCE ELECTIVE (choose one course listed below)

Organic Chemistry I (CHM 210)

Classical & quantum waves (See Foundation Courses)

Introduction to Molecular and Cellular Biology (BIO 111)

EARTH AND ENVIRONMENTAL SCIENCES (choose one course listed below)

Advanced General Geology (EESC W4001) [may be taken while at Columbia.]

The Climate System (EESC V2100 ) [may be taken while at Columbia.]

The Solid Earth System (EESC V2200) [may be taken while at Columbia.]

EARTH AND ENVIRONMENTAL ENGINEERING

Alternative Energy Resources (EAEE E2002) [may be taken at Columbia]

ELECTRICAL ENGINEERING

MATHEMATICS

315 and MAT 243)

PHYSICS

Classical and Quantum Waves (See Foundation Courses)

Physics Lab (See Foundation Courses)

COMPUTER SCIENCE

Computer Programming in JAVA (CST 321) is recommended.

ELECTRICAL ENGINEERING

Introduction to Electrical Engineering [may be taken the summer before entering or while at Columbia]

IEOR: ENGINEERING MANAGEMENT SYSTEMS

MATHEMATICS (choose one course listed below)

Linear Algebra (MAT 243)

PHYSICS/CHEMISTRY LAB (choose one course listed below)

Physics Lab (See Foundation Courses)

General Chemistry Lab (See Foundation Courses)

COMPUTER SCIENCE (choose one set of courses below)

Computer Programming in C (CST 295)

Data Structures in C (CST 296)

-or-

Computer Programming in JAVA (CST 321)

Data Structures in JAVA (May be taken in the Cooperating College program)

The Department strongly recommends JAVA over C.

ECONOMICS

Introduction to Accounting and Finance (BUS 211)

PROBABILITY AND STATISTICS

Introduction to Probability and Statistics (MAT 215 and MAT 311)

Please note that the course must have calculus as a pre-requisite. The Department strongly suggests taking two separate courses: one in Probability and one in Statistics.

IEOR: FINANCIAL ENGINEERING

Students cannot apply directly to IEOR: Financial Engineering because this concentration in Operations Research requires an application after one semester of study at Columbia. Entrance into this program is very competitive. Students interested in this concentration must adhere to the following pre-requisite requirements:

MATHEMATICS

Linear Algebra (MAT 243)

Ordinary Differential Equations (MAT 315)

PHYSICS/CHEMISTRY LAB (choose one course listed below)

Physics Lab (See Foundation Courses)

General Chemistry Lab (See Foundation Courses)

COMPUTER SCIENCE (choose one set of courses below)

Computer Programming in C (CST 295)

Data Structures in C (CST 296)

-or-

Computer Programming in JAVA (CST 321)

Data Structures in JAVA (May be taken in the Cooperating College program)

The Department strongly recommends JAVA over C.

ECONOMICS

Introduction to Accounting and Finance (BUS 211)

PROBABILITY AND STATISTICS

Probability (MAT 311)

Statistical Inference (MAT 215)

Please note that the course must have calculus as a pre-requisite.

IEOR: INDUSTRIAL ENGINEERING

MATHEMATICS

Linear Algebra (MAT 243)

PHYSICS/CHEMISTRY LAB (choose one course listed below)

Physics Lab (See Foundation Courses)

General Chemistry Lab (See Foundation Courses)

COMPUTER SCIENCE (choose one set of courses below)

Computer Programming in C (CST 295)

Data Structures in C (CST 296)

-or-

Computer Programming in JAVA (CST 321)

Data Structures in JAVA (May be taken in the Cooperating College program)

The Department strongly recommends JAVA over C.

ECONOMICS

Introduction to Accounting and Finance (BUS 211)

PROBABILITY AND STATISTICS

Introduction to Probability and Statistics (MAT 311 and MAT 215)

Please note that the course must have calculus as a pre-requisite. The Department trongly suggests taking two separate courses: one in Probability and one in Statistics.

IEOR: OPERATIONS RESEARCH

MATHEMATICS

Linear Algebra (MAT 243)

PHYSICS/CHEMISTRY LAB (choose one course listed below)

Physics Lab (See Foundation Courses)

General Chemistry Lab (See Foundation Courses)

COMPUTER SCIENCE (choose one set of courses below)

Computer Programming in C (CST 295)

Data Structures in C (CST 296)

-or-

Computer Programming in JAVA (CST 321)

Data Structures in JAVA (May be taken in the Cooperating College program)

The Department strongly recommends JAVA over C.

ECONOMICS

Introduction to Accounting and Finance (BUS 211)

PROBABILITY AND STATISTICS

Introduction to Probability and Statistics (MAT 311 and MAT 215)

Please note that the course must have calculus as a pre-requisite. The Department

strongly suggests taking two separate courses: one in Probability and one in Statistics.

ENGINEERING MECHANICS

MATHEMATICS

Ordinary Differential Equations (MAT 315)

PHYSICS/CHEMISTRY LAB (choose one course listed below)

Physics Lab (See Foundation Courses)

General Chemistry Lab (See Foundation Courses)

ENGINEERING MECHANICS

Mechanics (PHY 316**)

MATERIALS SCIENCE AND ENGINEERING

MATHEMATICS

Ordinary Differential Equations (MAT 315)

PHYSICS

Classical and Quantum Waves (See Foundation Courses)

Physics Lab (See Foundation Courses)

CHEMISTRY

General Chemistry II (See Foundation Courses

General Chemistry Lab (See Foundation Courses)

MECHANICAL ENGINEERING

MATHEMATICS

Introduction to applied mathematics Ordinary Differential Equations & Linear Algebra (MAT 311 and MAT 243)

PHYSICS/ BIOLOGY (choose one course listed below)

Classical and Quantum Waves (See Foundation Courses)

Environmental Biology: Molecules to Cells (BIO 230)

Introduction to Molecular and Cellular Biology (BIO111)

PHYSICS/CHEMISTRY LAB (choose one course listed below)

Physics Lab (See Foundation Courses)

General Chemistry Lab (See Foundation Courses)

ENGINEERING MECHANICS

Mechanics (PHY 316L**)

ELECTRICAL ENGINEERING

Intro. to Electrical Engineering (ELEN E1201) or equivalent [may be taken while at Columbia]

## Notes

***Laboratory section is part of 4 credit course (ex: PHY101 or CHM 110).**

****Designates the course number of a course taken at Loyola University of Maryland (L) through our Cooperating College Program.**