Campuses:
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Twin Cities Campus
Data Science for Chemical Engineering and Materials Science M.S.Chemical Engineering & Materials Science
College of Science and Engineering
Link to a list of faculty for this program.
Contact Information
Department of Chemical Engineering and Materials Science, University of Minnesota, 151 Amundson Hall, 421 Washington Avenue SE, Minneapolis, MN 55455 (612-625-0382; fax 612-626-7246)
Email:
cemsds@umn.edu
Website: https://cse.umn.edu/cems
Along with the program-specific requirements listed below, please read the
General Information section of
this
website for requirements that apply to all major fields.
The M.S. in Data Science for Chemical Engineering and Materials Science degree bridges disciplinary expertise in chemical engineering and materials science with data and computational science. It aims to educate the next generation of chemical engineers and materials scientists that will be able to work seamlessly with digital technologies.
The program core provides fundamental knowledge of statistical and data analysis, machine learning, and artificial intelligence, as well as their application in chemical, biological, and materials science and engineering problems. Elective courses allow students to specialize in artificial intelligence, high performance computing, systems engineering, automation and robotics, or data analytics, depending on their specific interests and needs.
Program Delivery
Prerequisites for Admission
The preferred undergraduate GPA for admittance to the program
is 3.50.
Baccalaureate degree in Chemical Engineering, Materials Science or related field.
Other requirements to be completed before admission:
The undergraduate degree must include two semesters of calculus and one semester of the following: multivariable calculus; linear algebra/differential equations; statistics; programming in languages such as C++ or Python; and algorithms and data structures. Exceptions or substitutions will be considered on an individual basis.
Special Application Requirements:
Applications are accepted for fall semester only. The application deadline is January 15. Applications received after that date will be considered on an individual basis only under exceptional circumstances.
International applicants must submit score(s) from one of the following tests:
Key to test
abbreviations
(TOEFL).
For an online application or for more information about graduate education admissions, see the
General Information section of this
website.
Program Requirements
Plan B: Plan B requires
30
major credits and
0
credits outside the major.
The final exam is written and oral.
A capstone project is required.
Capstone Project:Students complete a capstone project for a minimum of 3 credits under the supervision of faculty or in collaboration with industry advisors.
Plan C: Plan C requires
30
major credits and
0
credits outside the
major.
There is no final exam.
This program may be completed with a minor.
Use of 4xxx courses toward program requirements is permitted under certain conditions with adviser approval.
A minimum GPA of 2.80
is required for students to remain in good standing.
Courses must be taken on the A-F grade basis, unless only offered S/N, with a minimum grade of B- earned for each course.
Approval of advisor and the director of graduate studies is required to apply 4xxx courses to degree requirements
Core Courses (19 credits)
Students are strongly recommended to take CSci 5521 before CHEN/MATS 5802. Students may complete one course from each of the following cross-listed pairs, but not both: CHEN/MATS 5801, 5802, 8201. Other courses may be selected with advisor and director of graduate studies approval.
CSCI 5521 - Machine Learning Fundamentals
(3.0 cr)
CSCI 5523 - Introduction to Data Mining
(3.0 cr)
STAT 5302 - Applied Regression Analysis
(4.0 cr)
CHEN 5801 - Optimization in Chemical and Energy Systems Engineering
(3.0 cr)
or
MATS 5801 - Optimization in Chemical and Energy Systems Engineering
(3.0 cr)
Electives (8 to 11 credits)
Plan B students select at least 8 credits and Plan C students select at least 11 credits from the following. Other courses may be selected with advisor and director of graduate studies approval.
Major Electives
Students may complete one course from each of the following cross-listed pairs, but not both: CHEN/MATS 5771, 5803, 8001, 8221, 8301.
Students who don't have an undergraduate degree in chemical engineering or materials science must take two courses from the following list, in consultation with the director of graduate studies:
CHEN 5751 - Biochemical Engineering
(3.0 cr)
CHEN 5753 - Advanced Biomedical Transport Processes
(3.0 cr)
CHEN 8101 - Fluid Mechanics
(3.0 cr)
CHEN 8102 - Introduction to Rheology
(3.0 cr)
CHEN 8104 - Coating Process Fundamentals
(2.0 cr)
CHEN 8401 - Physical and Chemical Thermodynamics
(3.0 cr)
CHEN 8402 - Statistical Thermodynamics and Kinetics
(3.0 cr)
CHEN 8501 - Chemical Rate Processes: Analysis of Chemical Reactors
(3.0 cr)
CHEN 8754 - Systems Analysis of Biological Processes
(3.0 cr)
MATS 5517 - Microscopy of Materials
(3.0 cr)
MATS 5531 {Inactive}
(3.0 cr)
MATS 8002 - Thermodynamics and Kinetics
(3.0 cr)
MATS 8003 - Electronic Properties
(3.0 cr)
MATS 8004 - Mechanical Properties
(3.0 cr)
MATS 8217 - Transmission Electron Microscopy
(3.0 cr)
CHEN 5803 - Chemical and Materials Technology Commercialization
(3.0 cr)
or
MATS 5803 - Chemical and Materials Technology Commercialization
(3.0 cr)
CHEN 8001 - Structure and Symmetry of Materials
(3.0 cr)
or
MATS 8001 - Structure and Symmetry of Materials
(3.0 cr)
CHEN 8221 - Synthetic Polymer Chemistry
(4.0 cr)
or
MATS 8221 - Synthetic Polymer Chemistry
(4.0 cr)
CHEN 8301 - Physical Rate Processes I: Transport
(3.0 cr)
or
MATS 8301 - Physical Rate Processes I: Transport
(3.0 cr)
Outside Electives
Students must select at least one course from this list. Students may complete one course from each of the following cross listed pairs, but not both: AST 5731/STAT 5731, CSCI 8205/EE 8367, MATH 5651/STAT 5101, PUBH 8475/STAT 8056.
CSCI 5103 - Operating Systems
(3.0 cr)
CSCI 5105 - Introduction to Distributed Systems
(3.0 cr)
CSCI 5211 - Data Communications and Computer Networks
(3.0 cr)
CSCI 5271 - Introduction to Computer Security
(3.0 cr)
CSCI 5302 - Analysis of Numerical Algorithms
(3.0 cr)
CSCI 5304 - Computational Aspects of Matrix Theory
(3.0 cr)
CSCI 5451 - Introduction to Parallel Computing: Architectures, Algorithms, and Programming
(3.0 cr)
CSCI 5511 - Artificial Intelligence I
(3.0 cr)
CSCI 5512 - Artificial Intelligence II
(3.0 cr)
CSCI 5525 - Machine Learning: Analysis and Methods
(3.0 cr)
CSCI 5551 - Introduction to Intelligent Robotic Systems
(3.0 cr)
CSCI 5609 - Visualization
(3.0 cr)
CSCI 5707 - Principles of Database Systems
(3.0 cr)
CSCI 5708 - Architecture and Implementation of Database Management Systems
(3.0 cr)
CSCI 5715 - From GPS, Google Maps, and Uber to Spatial Data Science
(3.0 cr)
CSCI 5751 - Big Data Engineering and Architecture
(3.0 cr)
CSCI 5801 - Software Engineering I
(3.0 cr)
CSCI 5802 - Software Engineering II
(3.0 cr)
CSCI 8102 - Foundations of Distributed Computing
(3.0 cr)
CSCI 8314 - Sparse Matrix Computations
(3.0 cr)
CSCI 8581 - Big Data in Astrophysics
(4.0 cr)
CSCI 8701 - Overview of Database Research
(3.0 cr)
CSCI 8715 - Spatial Data Science Research
(3.0 cr)
CSCI 8725 - Databases for Bioinformatics
(3.0 cr)
CSCI 8735 - Advanced Database Systems
(3.0 cr)
CSCI 8801 - Advanced Software Engineering
(3.0 cr)
EE 5239 - Introduction to Nonlinear Optimization
(3.0 cr)
EE 5251 - Optimal Filtering and Estimation
(3.0 cr)
EE 5271 - Robot Vision
(3.0 cr)
EE 5351 - Applied Parallel Programming
(3.0 cr)
EE 5355 - Algorithmic Techniques for Scalable Many-core Computing
(3.0 cr)
EE 5371 - Computer Systems Performance Measurement and Evaluation
(3.0 cr)
EE 5389 - Introduction to Predictive Learning
(3.0 cr)
EE 5501 - Digital Communication
(3.0 cr)
EE 5531 - Probability and Stochastic Processes
(3.0 cr)
EE 5542 - Adaptive Digital Signal Processing
(3.0 cr)
EE 5561 - Image Processing and Applications: From linear filters to artificial intelligence
(3.0 cr)
EE 5581 - Information Theory and Coding
(3.0 cr)
EE 5585 - Data Compression
(3.0 cr)
EE 8231 - Optimization Theory
(3.0 cr)
EE 8551 - Multirate Signal Processing and Applications
(3.0 cr)
EE 5571 - Statistical Learning and Inference
(3.0 cr)
EE 8591 - Predictive Learning from Data
(3.0 cr)
IE 5531 - Engineering Optimization I
(4.0 cr)
IE 5561 - Analytics and Data-Driven Decision Making
(4.0 cr)
IE 8521 - Optimization
(4.0 cr)
IE 8531 - Discrete Optimization
(4.0 cr)
MSBA 6321 - Data Management, Databases, and Data Warehousing
(3.0 cr)
MSBA 6331 - Big Data Analytics
(3.0 cr)
PUBH 7401 - Fundamentals of Biostatistical Inference
(4.0 cr)
PUBH 7402 - Biostatistics Modeling and Methods
(4.0 cr)
PUBH 7405 - Biostatistical Inference I
(4.0 cr)
PUBH 7406 - Biostatistical Inference II
(3.0 cr)
PUBH 7407 - Analysis of Categorical Data
(3.0 cr)
PUBH 7430 - Statistical Methods for Correlated Data
(3.0 cr)
PUBH 7440 - Introduction to Bayesian Analysis
(3.0 cr)
PUBH 7460 - Advanced Statistical Computing
(3.0 cr)
PUBH 7475 - Statistical Learning and Data Mining
(3.0 cr)
PUBH 7485 - Methods for Causal Inference
(3.0 cr)
PUBH 8401 - Linear Models
(3.0 cr)
PUBH 8432 - Probability Models for Biostatistics
(3.0 cr)
PUBH 8442 - Bayesian Decision Theory and Data Analysis
(3.0 cr)
STAT 5052 - Statistical and Machine Learning
(3.0 cr)
STAT 5102 - Theory of Statistics II
(4.0 cr)
STAT 5201 - Sampling Methodology in Finite Populations
(3.0 cr)
STAT 5303 - Designing Experiments
(4.0 cr)
STAT 5401 - Applied Multivariate Methods
(3.0 cr)
STAT 5421 - Analysis of Categorical Data
(3.0 cr)
STAT 5511 - Time Series Analysis
(3.0 cr)
STAT 5601 - Nonparametric Methods
(3.0 cr)
STAT 5701 - Statistical Computing
(3.0 cr)
STAT 8051 - Advanced Regression Techniques: linear, nonlinear and nonparametric methods
(3.0 cr)
STAT 8101 - Theory of Statistics 1
(3.0 cr)
STAT 8102 - Theory of Statistics 2
(3.0 cr)
STAT 8112 - Mathematical Statistics II
(3.0 cr)
CSCI 8205 - Parallel Computer Organization
(3.0 cr)
or
EE 8367 - Parallel Computer Organization
(3.0 cr)
Plan Options
Plan B
|
|
Credits: | 3.0 [max 3.0] |
Typically offered: | Periodic Fall |
Credits: | 3.0 [max 3.0] |
Typically offered: | Periodic Fall & Spring |
Credits: | 4.0 [max 4.0] |
Typically offered: | Every Fall, Spring & Summer |
Credits: | 3.0 [max 3.0] |
Course Equivalencies: | MatS 5801 / CHEN 5801 |
Grading Basis: | A-F or Aud |
Typically offered: | Every Fall |
Credits: | 3.0 [max 3.0] |
Course Equivalencies: | MatS 5801 / CHEN 5801 |
Grading Basis: | A-F or Aud |
Typically offered: | Every Fall |
Credits: | 3.0 [max 3.0] |
Course Equivalencies: | MatS 5802 / ChEn 5802 |
Grading Basis: | A-F or Aud |
Typically offered: | Every Spring |
Credits: | 3.0 [max 3.0] |
Course Equivalencies: | MatS 5802 / ChEn 5802 |
Grading Basis: | A-F or Aud |
Typically offered: | Every Spring |
Credits: | 3.0 [max 3.0] |
Course Equivalencies: | ChEn 4701/ChEn 8201 |
Grading Basis: | A-F or Aud |
Typically offered: | Every Fall |
Credits: | 3.0 [max 3.0] |
Grading Basis: | A-F or Aud |
Typically offered: | Every Fall |
Credits: | 3.0 [max 3.0] |
Grading Basis: | A-F or Aud |
Typically offered: | Every Fall |
Credits: | 3.0 [max 3.0] |
Course Equivalencies: | BMEn 5311/ChEn 5753/ME 5381 |
Grading Basis: | A-F or Aud |
Typically offered: | Every Spring |
Credits: | 3.0 [max 3.0] |
Grading Basis: | A-F or Aud |
Typically offered: | Every Spring |
Credits: | 3.0 [max 3.0] |
Grading Basis: | A-F or Aud |
Typically offered: | Every Fall |
Credits: | 2.0 [max 2.0] |
Grading Basis: | A-F or Aud |
Typically offered: | Every Spring & Summer |
Credits: | 3.0 [max 3.0] |
Course Equivalencies: | ChEn 4706/ChEn 8401 |
Grading Basis: | A-F or Aud |
Typically offered: | Every Fall |
Credits: | 3.0 [max 3.0] |
Grading Basis: | A-F or Aud |
Typically offered: | Every Spring |
Credits: | 3.0 [max 3.0] |
Grading Basis: | A-F or Aud |
Typically offered: | Every Spring |
Credits: | 3.0 [max 3.0] |
Typically offered: | Every Spring |
Credits: | 3.0 [max 3.0] |
Grading Basis: | A-F or Aud |
Typically offered: | Every Spring |
Credits: | 3.0 [max 3.0] |
Grading Basis: | A-F or Aud |
Typically offered: | Every Fall |
Credits: | 3.0 [max 3.0] |
Grading Basis: | A-F or Aud |
Typically offered: | Every Spring |
Credits: | 3.0 [max 3.0] |
Grading Basis: | A-F or Aud |
Typically offered: | Every Spring |
Credits: | 3.0 [max 3.0] |
Grading Basis: | A-F or Aud |
Typically offered: | Every Fall |
Credits: | 3.0 [max 3.0] |
Course Equivalencies: | ChEn 5771/MatS 5771 |
Grading Basis: | A-F or Aud |
Typically offered: | Every Fall |
Credits: | 3.0 [max 3.0] |
Course Equivalencies: | inactive |
Grading Basis: | A-F or Aud |
Typically offered: | Every Fall |
Credits: | 3.0 [max 3.0] |
Course Equivalencies: | MatS 5803 / ChEn 5803 |
Grading Basis: | A-F only |
Typically offered: | Every Fall |
Credits: | 3.0 [max 3.0] |
Course Equivalencies: | MatS 5803 / ChEn 5803 |
Grading Basis: | A-F only |
Typically offered: | Every Fall |
Credits: | 3.0 [max 3.0] |
Typically offered: | Every Fall |
Credits: | 3.0 [max 3.0] |
Typically offered: | Every Fall |
Credits: | 4.0 [max 4.0] |
Course Equivalencies: | ChEn 8221/MatS 8221/Chem 8221 |
Grading Basis: | A-F or Aud |
Typically offered: | Every Fall |
Credits: | 4.0 [max 4.0] |
Course Equivalencies: | ChEn 8221/MatS 8221/Chem 8221 |
Grading Basis: | A-F or Aud |
Typically offered: | Every Fall |
Credits: | 3.0 [max 3.0] |
Grading Basis: | A-F or Aud |
Typically offered: | Periodic Fall & Spring |
Credits: | 3.0 [max 3.0] |
Course Equivalencies: | ChEn 8301/MatS 8301 |
Grading Basis: | A-F or Aud |
Typically offered: | Periodic Fall & Spring |
Credits: | 3.0 [max 3.0] |
Typically offered: | Every Fall |
Credits: | 3.0 [max 3.0] |
Typically offered: | Periodic Spring |
Credits: | 3.0 [max 3.0] |
Course Equivalencies: | CSci 4211/CSci 5211/INET 4002 |
Typically offered: | Every Fall |
Credits: | 3.0 [max 3.0] |
Typically offered: | Every Fall |
Credits: | 3.0 [max 3.0] |
Typically offered: | Every Spring |
Credits: | 3.0 [max 3.0] |
Typically offered: | Every Fall |
Credits: | 3.0 [max 3.0] |
Typically offered: | Every Spring |
Credits: | 3.0 [max 3.0] |
Course Equivalencies: | CSci 4511W/CSci 5511 |
Prerequisites: | [2041 or #], grad student |
Typically offered: | Every Fall |
Credits: | 3.0 [max 3.0] |
Course Equivalencies: | CSci 5512W/CSci 5512 |
Typically offered: | Every Spring |
Credits: | 3.0 [max 3.0] |
Typically offered: | Fall Even Year |
Credits: | 3.0 [max 3.0] |
Typically offered: | Periodic Fall |
Credits: | 3.0 [max 3.0] |
Typically offered: | Fall Even Year |
Credits: | 3.0 [max 3.0] |
Course Equivalencies: | CSci 4707/CSci 5707/INET 4707 |
Typically offered: | Every Fall |
Credits: | 3.0 [max 3.0] |
Typically offered: | Every Spring |
Credits: | 3.0 [max 3.0] |
Typically offered: | Spring Even Year |
Credits: | 3.0 [max 3.0] |
Typically offered: | Every Fall |
Credits: | 3.0 [max 3.0] |
Prerequisites: | 2041 or # |
Typically offered: | Every Fall |
Credits: | 3.0 [max 3.0] |
Typically offered: | Periodic Spring |
Credits: | 3.0 [max 3.0] |
Typically offered: | Periodic Spring |
Credits: | 3.0 [max 3.0] |
Typically offered: | Periodic Spring |
Credits: | 4.0 [max 4.0] |
Course Equivalencies: | Ast/Stat/CSci 8581/Phys 8581 |
Grading Basis: | A-F only |
Typically offered: | Every Spring |
Credits: | 3.0 [max 3.0] |
Typically offered: | Periodic Fall & Spring |
Credits: | 3.0 [max 3.0] |
Typically offered: | Periodic Fall & Spring |
Credits: | 3.0 [max 3.0] |
Typically offered: | Periodic Spring |
Credits: | 3.0 [max 3.0] |
Grading Basis: | A-F or Aud |
Typically offered: | Periodic Fall |
Credits: | 3.0 [max 3.0] |
Typically offered: | Periodic Fall & Spring |
Credits: | 3.0 [max 3.0] |
Typically offered: | Periodic Fall & Spring |
Credits: | 3.0 [max 3.0] |
Course Equivalencies: | AEM 5451/EE 5251 |
Typically offered: | Every Fall |
Credits: | 3.0 [max 3.0] |
Typically offered: | Every Fall |
Credits: | 3.0 [max 3.0] |
Typically offered: | Every Fall |
Credits: | 3.0 [max 3.0] |
Typically offered: | Spring Odd Year |
Credits: | 3.0 [max 3.0] |
Course Equivalencies: | EE 5371/5863 |
Typically offered: | Periodic Fall & Spring |
Credits: | 3.0 [max 3.0] |
Course Equivalencies: | EE 4389W/EE 5389 |
Typically offered: | Fall Even Year |
Credits: | 3.0 [max 3.0] |
Typically offered: | Every Fall |
Credits: | 3.0 [max 3.0] |
Typically offered: | Every Fall |
Credits: | 3.0 [max 3.0] |
Typically offered: | Periodic Fall & Spring |
Credits: | 3.0 [max 3.0] |
Course Equivalencies: | EE 5561/EE 8541 |
Typically offered: | Every Spring |
Credits: | 3.0 [max 3.0] |
Typically offered: | Fall Even Year |
Credits: | 3.0 [max 3.0] |
Typically offered: | Periodic Fall & Spring |
Credits: | 3.0 [max 3.0] |
Typically offered: | Periodic Fall |
Credits: | 3.0 [max 3.0] |
Typically offered: | Periodic Fall & Spring |
Credits: | 3.0 [max 3.0] |
Typically offered: | Periodic Spring |
Credits: | 3.0 [max 3.0] |
Typically offered: | Fall Even Year |
Credits: | 4.0 [max 4.0] |
Typically offered: | Every Fall |
Credits: | 4.0 [max 4.0] |
Typically offered: | Every Spring |
Credits: | 4.0 [max 4.0] |
Typically offered: | Every Fall |
Credits: | 4.0 [max 8.0] |
Typically offered: | Periodic Fall & Spring |
Credits: | 3.0 [max 3.0] |
Grading Basis: | A-F only |
Typically offered: | Every Fall |
Credits: | 3.0 [max 3.0] |
Grading Basis: | A-F only |
Typically offered: | Every Fall |
Credits: | 4.0 [max 4.0] |
Typically offered: | Every Fall |
Credits: | 4.0 [max 4.0] |
Typically offered: | Every Spring |
Credits: | 4.0 [max 4.0] |
Typically offered: | Every Fall |
Credits: | 3.0 [max 4.0] |
Typically offered: | Every Spring |
Credits: | 3.0 [max 3.0] |
Typically offered: | Every Spring |
Credits: | 3.0 [max 3.0] |
Typically offered: | Every Fall |
Credits: | 3.0 [max 3.0] |
Typically offered: | Every Spring |
Credits: | 3.0 [max 3.0] |
Typically offered: | Every Fall |
Credits: | 3.0 [max 3.0] |
Typically offered: | Periodic Spring |
Credits: | 3.0 [max 3.0] |
Typically offered: | Every Fall |
Credits: | 3.0 [max 4.0] |
Typically offered: | Every Fall |
Credits: | 3.0 [max 3.0] |
Typically offered: | Every Fall |
Credits: | 3.0 [max 3.0] |
Typically offered: | Every Spring |
Credits: | 3.0 [max 4.0] |
Grading Basis: | A-F only |
Typically offered: | Periodic Fall & Spring |
Credits: | 4.0 [max 4.0] |
Typically offered: | Every Fall & Spring |
Credits: | 3.0 [max 3.0] |
Typically offered: | Every Spring |
Credits: | 4.0 [max 4.0] |
Typically offered: | Every Fall, Spring & Summer |
Credits: | 3.0 [max 3.0] |
Typically offered: | Periodic Fall |
Credits: | 3.0 [max 3.0] |
Typically offered: | Every Fall & Spring |
Credits: | 3.0 [max 3.0] |
Typically offered: | Every Fall |
Credits: | 3.0 [max 3.0] |
Typically offered: | Every Fall & Spring |
Credits: | 3.0 [max 3.0] |
Prerequisites: | (Stat 5102 or Stat 8102) and (Stat 5302 or STAT 8051) or consent |
Grading Basis: | A-F or Aud |
Typically offered: | Every Fall |
Credits: | 3.0 [max 3.0] |
Grading Basis: | A-F or Aud |
Typically offered: | Every Fall |
Credits: | 3.0 [max 3.0] |
Typically offered: | Every Fall |
Credits: | 3.0 [max 3.0] |
Typically offered: | Every Spring |
Credits: | 3.0 [max 3.0] |
Typically offered: | Every Spring |
Credits: | 4.0 [max 4.0] |
Course Equivalencies: | Ast 5731/Stat 5731 |
Grading Basis: | A-F only |
Typically offered: | Every Fall |
Credits: | 4.0 [max 4.0] |
Course Equivalencies: | Ast 5731/Stat 5731 |
Grading Basis: | A-F only |
Typically offered: | Every Fall |
Credits: | 3.0 [max 3.0] |
Course Equivalencies: | CSci 8205/EE 8367 |
Typically offered: | Every Spring |
Credits: | 3.0 [max 3.0] |
Course Equivalencies: | CSci 8205/EE 8367 |
Typically offered: | Every Spring |
Credits: | 4.0 [max 4.0] |
Course Equivalencies: | Math 5651/Stat 5101 |
Typically offered: | Every Fall & Spring |
Credits: | 4.0 [max 4.0] |
Typically offered: | Every Fall |
Credits: | 3.0 [max 3.0] |
Course Equivalencies: | PubH 8475/ Stat 8056 |
Typically offered: | Periodic Spring |
Credits: | 3.0 [max 3.0] |
Grading Basis: | OPT No Aud |
Typically offered: | Periodic Spring |
Credits: | 1.0 -12.0 [max 12.0] |
Typically offered: | Every Fall, Spring & Summer |
Credits: | 1.0 -12.0 [max 12.0] |
Typically offered: | Every Fall, Spring & Summer |
Credits: | 1.0 -12.0 [max 12.0] |
Typically offered: | Every Fall, Spring & Summer |
Credits: | 1.0 -12.0 [max 12.0] |
Typically offered: | Every Fall, Spring & Summer |