Geographic Information Science Undergraduate Certificate
Aurora , United States
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Tuition Fee
Not Available
Start Date
Not Available
Medium of studying
On campus
Duration
Not Available
Details
Program Details
Degree
Courses
Major
Geographic Information Systems (Gis) | Cartography | Geography
Area of study
Information and Communication Technologies | Natural Science
Education type
On campus
Course Language
English
About Program
Program Overview
University of Colorado Denver Programs
The University of Colorado Denver offers a wide range of programs for undergraduate and graduate students.
Undergraduate Programs
- Business School
- Accounting, BS in Business Administration
- Entrepreneurship, BS in Business Administration
- Finance, BS in Business Administration
- Financial Management, BS in Business Administration
- General Business, BS in Business Administration
- Human Resources Management, BS in Business Administration
- Information and Cybersecurity Management, BS in Business Administration
- Information Systems, BS in Business Administration
- International Business, BS in Business Administration
- Management, BS in Business Administration
- Marketing, BS in Business Administration
- Risk Management and Insurance, BS in Business Administration
- Sports Business, BS in Business Administration
- College of Architecture and Planning
- Architecture, BS
- Interior Design Minor
- Landscape Architecture Minor
- College of Arts & Media
- Film & Television
- Acting for the Screen Emphasis, BFA
- Film & Television Emphasis, BFA
- Film & Television Performance Minor
- Film & Television Production Minor
- Film & Television Writing Minor
- Music & Entertainment Industry Studies
- General Music Minor
- Music Business Emphasis, Audition Track, Music BS
- Music Business Emphasis, Non-Audition Track, Music BS
- Music Industry Studies Minor
- Performance Emphasis, Music BS
- Recording Arts Emphasis, Audition Track, Music BS
- Recording Arts Emphasis, Non-Audition Track, Music BS
- Singer/Songwriter Emphasis, Music BS
- Songwriter Entrepreneur Emphasis, Audition Track, Music BS
- Visual Arts
- 2D and Traditional Animation Minor
- 3D Graphics and Animation Emphasis, BFA
- Art History Minor
- Art History, Fine Arts BA
- Art Practices Emphasis, BFA
- Art Practices Minor
- Digital Design Emphasis, BFA
- Digital Design Minor
- Game Art Minor
- Illustration Emphasis, BFA
- Illustration Minor
- Photography Emphasis, BFA
- Photography Minor
- Virtual Production Minor
- Film & Television
- College of Engineering, Design and Computing
- Bioengineering, BS
- Civil Engineering, BS
- Computer Science and Engineering
- Computer Science, BA
- Computer Science, BS
- Computer Science Minor
- Cybersecurity, BS
- Cybersecurity and Secure Computing Undergraduate Certificate
- Electrical Engineering, BS
- Mechanical Engineering, BS
- College of Liberal Arts and Sciences
- Anthropology, BA
- Anthropology Minor
- Bachelor's of Applied Science
- Bachelor of Applied Science: Professional Studies
- Chemistry
- Biochemistry, BS
- Chemistry, BS
- Chemistry, BS - ACS Certified
- Chemistry, BS/MS
- Biochemistry Minor
- Chemistry Minor
- Biochemistry Undergraduate Certificate
- CLAS Interdisciplinary Certificates
- Allied and Professional Health Sciences Post Baccalaureate Certificate
- Civics, Public Policy and Equity Undergraduate Certificate
- Digital Studies Undergraduate Certificate
- Professional Skills Undergraduate Certificate
- Climate Change Studies
- Climate Change Studies - Natural Sciences Track, BS
- Climate Change Studies - Policy Track, BA
- Climate Change Studies - Society Track, BA
- Communication
- Communication, 4+1 BA/MA
- Communication, BA
- Communication Minor
- Global and Intercultural Communication Undergraduate Certificate
- Health Communication Undergraduate Certificate
- Mediation Undergraduate Certificate
- Strategic Communication Undergraduate Certificate
- Dual Degrees
- Economics BA/Mathematics, BS - Dual Degree
- Economics
- Economics, 4 + 1 BA/ MA
- Economics, 4 + 1 BA/ Health Economics, MS
- Economics, BA/Finance, BS in Business Administration - Dual Degree
- Economics, BA
- Economics Minor
- Health and Development Economics Undergraduate Certificate
- English
- Creative Nonfiction Undergraduate Certificate
- Creative Writing Minor
- English - Creative Writing Option, BA
- English - Literature and Film Option, BA
- English Literature and Film Studies Minor
- English Writing, Rhetoric, and Technology Minor
- English Writing, Rhetoric, and Technology, BA
- English, BA with Secondary Teaching Licensure Endorsement
- Proposal and Grant Writing Undergraduate Certificate
- Teaching English Language Learners Undergraduate Certificate (CTELL)
- Technical and Professional Writing Undergraduate Certificate
- Writing and Editing with AI Undergraduate Certificate
- Ethnic Studies
- Ethnic Studies, BA
- Ethnic Studies Minor
- African American Studies Undergraduate Certificate
- American Indian Studies Undergraduate Certificate
- Asian American Pacific Islanders Studies Undergraduate Certificate
- Cultural Diversity Studies Undergraduate Certificate
- Latinx Studies Undergraduate Certificate
- Geography and Environmental Sciences
- Geography, BA
- Geography - Environment, Society and Sustainability Option, BA
- Geography - Environmental Science Option, BA
- Geography - Urban Studies and Planning, BA
- Environmental Sciences Minor
- Geography Minor
- Urban Studies and Planning Minor
- Geographic Information Science Undergraduate Certificate
- Free and Open Source Software for Geospatial Applications Undergraduate Certificate
- Sustainable Urban Agriculture Undergraduate Certificate
- Health and Behavioral Sciences
- Public Health, BA
- Public Health, BS
- Public Health, 5 year BA or BS/Master in Public Health, MPH
- Public Health Demography Minor
- Public Health Minor
- Health Humanities
- Health Humanities Minor
- History
- History, BA
- History, BA with Secondary Teaching Licensure Endorsement
- History Minor
- Immigration Studies Undergraduate Certificate
- Latin American Studies Undergraduate Certificate
- Humanities
- Humanities Minor
- Individually Designed Major
- Integrated Health Studies Option, BA - Individually Designed Major
- Interdisciplinary Studies, BA - Individually Designed Major
- Integrated Studies
- Integrated Studies, BA
- Integrated Studies, BS
- Integrative Biology
- Biology - Biotechnology Track, BS
- Biology - Human Biology Track, BS
- Biology - Integrative Biology Track, BS
- Biology - Microbiology Track, BS
- Biology - Organisms and Ecosystems Track, BS
- Biology Minor
- Environmental Stewardship of Indigenous Lands Undergraduate Certificate
- Interdisciplinary Programs
- Data Science, BS
- Liberal Arts and Sciences BA/BS, 4+1/Teaching MA
- International Studies
- International Studies, BA
- International Studies, 4 + 1 BA/Political Science, MA
- International Studies, 4 + 1 BA/Humanities, MH or Social Sciences, MSS
- International Studies Minor
- Law Studies
- Law Studies Major
- Law Studies Minor
- Mathematical and Statistical Sciences
- Mathematics, BS
- Mathematics - Applied Option, BS
- Mathematics - Data Science Option, BS
- Mathematics - Probability and Statistics Option, BS
- Mathematics, 4+1 BS/Applied Mathematics, MS
- Mathematics, 4+1 BS/Statistics, MS
- Data Sciences Minor
- Mathematics Minor
- Applied Statistics Undergraduate Certificate
- Data Science Undergraduate Certificate
- Modern Languages
- Spanish, 4 + 1 BA/MA
- Spanish Language, Literature and Culture, BA
- Spanish Language, Literature and Culture, BA with Secondary Teaching Licensure Endorsement
- Spanish, International Language and Culture for the Professions Option, BA
- Chinese Studies Minor
- French Minor
- Linguistics Minor
- Spanish Minor
- Medical Spanish for Beginners Undergraduate Certificate
- Spanish for the Health Professions Undergraduate Certificate
- Spanish for International Business Undergraduate Certificate
- Chinese for International Business Undergraduate Certificate
- Philosophy
- Philosophy, BA
- Philosophy, 4 + 1 BA/Humanities, MH
- Ethics Minor
- Philosophy Minor
- Philosophy of Science Minor
- Physics
- Physics, BS
- Astrophysics Minor
- Biophysics Minor
- Physics Minor
- Quantum Information Technology Undergraduate Certificate
- Political Science
- Political Science, BA
- Political Science - Politics and Public Policy Option, BA
- Political Science, BA with Secondary Teaching Licensure Endorsement
- Political Science, 4 + 1 BA/MA
- Political Science Minor
- International Politics and Foreign Policy Undergraduate Certificate
- Labor Leadership Undergraduate Certificate
- Middle Eastern Politics Undergraduate Certificate
- Public, Non-Profit and Community Leadership Undergraduate Certificate
- Psychology
- Psychology, BA
- Psychology, BS
- Psychology, BA, Gardner Psych Research Scholar
- Psychology, BS, Gardner Psych Research Scholar
- Behavioral Cognitive Neuroscience Minor
- Psychology Minor
- Religious Studies
- Religious Studies Minor
- Social Justice
- Social Justice Minor
- Sociology
- Sociology, BA
- Sociology - Gender and Society Concentration, BA
- Sociology, 4 + 1 BA/MA
- Sociology Minor
- Community Health and Medicine Undergraduate Certificate
- Criminology Undergraduate Certificate
- Families and Social Welfare Undergraduate Certificate
- Justice, Allyship, Diversity and Equity Undergraduate Certificate
- Sustainability
- Sustainability Minor
- Women's and Gender Studies
- Women's and Gender Studies Minor
- School of Education & Human Development
- Education and Human Development
- Community-Based Early Childhood, BA
- Culturally and Linguistically Diverse Education Minor
- Digital Media Design for Learning Minor
- Early Childhood Education License, BA - Rural Partnership with Lamar Community College
- Early Childhood Education License, BA - Rural Partnership with Northeastern Junior College
- Early Childhood Education License, BA - Rural Partnership with Otero College
- Early Childhood Education License, BA - Rural Partnership with Trinidad State College
- Early Childhood Education Licensure Track, BA
- Education and Human Development BAMA with Multiple MA Options
- Education Studies Minor
- Elementary Education License, BA - Rural Partnership with Northeastern Junior College
- Elementary Education License, BA - Rural Partnership with Trinidad State College
- Elementary Education with CLDE Added Endorsement, BA
- Elementary Education, BA - Rural Partnership with Lamar Community College
- Elementary Education, BA - Rural Partnership with Otero College
- English Language Arts (6-12) License, BA
- Mathematics Secondary (6-12) License, BA
- Middle School Math License, BA - Rural Partnership with Northeastern Junior College
- Middle School Math License, BA - Rural Partnership with Otero College
- Middle School Math License, BA - Rural Partnership with Trinidad State College
- Middle School Mathematics License, BA
- Science (6-12) License, BA
- Science (6-12) License, BA Rural Partnership with Otero College
- Secondary Education Licensure - CLAS Major Pathway
- Secondary Science License, BA - Rural Partnership with Northeastern Junior College
- Social Studies (6-12) License, BA
- Special Education Generalist License, BA - Rural Partnership with Lamar Community College
- Special Education Generalist License, BA - Rural Partnership with Northeastern Junior College
- Special Education Generalist License, BA - Rural Partnership with Otero College
- Special Education Generalist License, BA - Rural Partnership with Trinidad State College
- Special Education, BA with added Elementary Education Endorsement
- Teacher Education Minor
- Undergraduate Teacher Licensure
- Human Development and Family Relations
- BS/MA 4+1 Program in Learning, Developmental, and Family Sciences: HDFR Concentration
- Human Development and Family Relations, BS
- Human Development and Family Relations, BS - Rural Partnership with Trinidad State College
- Human Development and Family Relations Minor
- Education and Human Development
- School of Public Affairs
- Public Affairs
- Courts, Law and Society Certificate
- Criminal Justice and Psychology Studies Certificate
- Criminal Justice Minor
- Criminal Justice, BA
- Criminal Justice, BA/MCJ
- Criminal Justice/Public Policy, BA/MPP
- Juvenile Justice Certificate
- Law Enforcement Certificate
- Leadership, Equity, Advocacy, and Policy Certificate
- Public Administration Minor
- Public Administration, BA
- Public Administration, BA/Master of Public Policy
- Public Administration, BA/MPA
- Public and Nonprofit Management Certificate
- Strategic and Collaborative Management Certificate
- Victims and Victim Services Certificate
- Public Affairs
Graduate Programs
- Business School
- Business Administration
- Accounting, MS
- Business Administration - Health Administration, MBA
- Business Administration, MBA
- Business Administration/Business, MBA/MS
- Business Administration/Medicine, MBA/MD
- Business Administration/Urban and Regional Planning, MBA/MURP
- Business Administration: One Year MBA
- Business Analytics, MS
- Business/Business, MS/MS
- Entrepreneurship, MS
- Executive Doctorate of Health Administration
- Executive Master in Business Administration, EMBA
- Executive MBA in Health Administration
- Finance and Risk Management, MS
- Finance/Economics, MS/MA
- FinTech, MS
- Global Energy Management, MS
- Information Systems, MS
- International Business, MS
- Management and Organization, MS
- Marketing, MS
- MBA/MS in Bioengineering
- Sustainable Business, MS
- Bioinnovation and Entrepreneurship Certificate
- Commodities Certificate
- Cyber Security and Information Assurance Certificate
- Digital Marketing Certificate
- Entrepreneurship Certificate
- Environmental Sustainability Certificate
- FinTech Analyst Certificate
- Foundations of Sustainability Business Certificate
- International Entrepreneurship Certificate
- Managing for Sustainability Certificate
- Risk Management Graduate Certificate
- Risk Management and Resilience Certificate
- Social Enterprise Certificate
- Sustainable Energy Certificate
- Urban Sustainability and Infrastructure Certificate
- Post-Graduate Certificates
- Business Administration
- College of Architecture and Planning
- Architecture
- Architecture, MArch
- Landscape Architecture
- Landscape Architecture, MLA
- Urban and Regional Planning
- Urban and Regional Planning, MURP
- Other Graduate Programs
- Geography, Planning, and Design, PhD
- Historic Preservation, MS
- Urban Design, MUD
- Graduate Certificates
- Design Build Graduate Certificate
- Geospatial Information Science Graduate Certificate
- Historic Preservation Certificate
- Interior Design Certificate
- Landscape Architecture Certificate
- Architecture
- College of Arts & Media
- Music & Entertainment Industry Studies
- Media Forensics, MS
- Recording Arts in Education Certificate
- Recording Arts, MSRA
- Music & Entertainment Industry Studies
- College of Engineering, Design and Computing
- Bioengineering
- Assistive Technology and Inclusive Engineering Certificate
- Bioengineering Dual, MS-MBA
- Bioengineering, MD-MS
- Bioengineering, MD-PhD
- Bioengineering, MS
- Bioengineering, PhD
- Medical Device Design and Entrepreneurship Certificate
- Neural Engineering Graduate Certificate
- Civil Engineering
- Civil Engineering, MEng
- Civil Engineering, MS
- Civil Engineering, PhD
- Construction Project Management Graduate Certificate
- Engineering and Applied Science, PhD
- Geographic Information Systems and Geomatics Graduate Certificate
- Human-Centered Transportation Graduate Certificate
- Computer Science and Engineering
- Computer Science and Information Systems, PhD
- Computer Science, MS
- Cybersecurity and Defense Graduate Certificate
- Engineering and Applied Science, PhD
- Software Engineering Graduate Certificate
- Electrical Engineering
- Electrical Engineering, MEng
- Electrical Engineering, MS
- Engineering and Applied Science, PhD
- Modern Energy and Power Systems Certificate
- Quantum Information Technology Graduate Certificate
- RF and Antenna Engineering Certificate
- Engineering and Applied Science, PhD
- Mechanical Engineering
- Engineering and Applied Science, PhD
- Mechanical Engineering, MEng
- Mechanical Engineering, MS
- Bioengineering
- College of Liberal Arts and Sciences
- Anthropology
- Anthropology, MA
- Ethnographic Methods Graduate Certificate
- Chemistry
- Chemistry, MS
- Data Science and Chemistry Graduate Certificate
- CLAS Interdisciplinary Certificates
- Digital Studies Graduate Certificate
- Social Justice Graduate Certificate
- Communication
- Communication, MA
- Health Communication Graduate Certificate
- Strategic Communication Graduate Certificate
- Dual Degrees
- Economics MA/Applied Mathematics MS Dual Degree, with a Focus in Applied Statistics
- Economics MA/Finance MS Dual Degree
- Economics MA/Public Administration MPA Dual Degree
- Economics
- Health Economics, MS
- Health Economics, PhD
- Economics, MA
- Applied Econometrics and Data Analytics Graduate Certificate
- Health Economics and Outcomes Research Graduate Certificate
- English
- English Language Teaching and Applied Linguistics Track, MA
- English, MA
- Teaching College-level Language and Literacy Graduate Certificate
- Teaching College-Level Literature and Film Graduate Certificate
- Teaching English Language Learners Graduate Certificate (CTELL)
- Ethnic Studies
- Ethnic Studies Graduate Certificate
- Geography and Environmental Sciences
- Applied Geography & Geospatial Science, MA
- Environmental Sciences, MS
- Free and Open Source Software for Geospatial Applications Graduate Certificate
- Geographic Information Science Graduate Certificate
- Health and Behavioral Sciences
- Health and Behavioral Sciences, PhD
- History
- History, MA
- Public History, MA in History
- Global History Graduate Certificate
- Museum Studies Graduate Certificate
- U.S. History Graduate Certificate
- Humanities
- Humanities, MH
- Integrated Sciences
- Integrated Sciences, MIS
- Integrative Biology
- Biology, MS
- Integrative and Systems Biology, PhD
- Mathematical and Statistical Sciences
- Applied Mathematics, MS
- Applied Mathematics, PhD
- Statistics, MS
- Applied Statistics Graduate Certificate
- Modern Languages
- Spanish, MA
- Physics
- Quantum Information Technology Graduate Certificate
- Political Science
- New Directions in Public, Non-Profit and Community Leadership, Political Science, MA
- Political Science, MA
- Political Science MA / Master of Business Administration (MBA) Dual Degree
- Labor Leadership Graduate Certificate
- Public, Nonprofit and Community Leadership Graduate Certificate
- Psychology
- Clinical Psychopharmacology, MS
- Psychology, Clinical Health Psychology, PhD
- Social Science
- Social Science Research Methods Graduate Certificate
- Social Science, MSS
- Sociology
- Sociology, MA
- Women's and Gender Studies
- Women's and Gender Studies Graduate Certificate
- Anthropology
- School of Education & Human Development
- Counseling
- Counseling, MA
- Couple, Marriage and Family Therapy, MA
- Culturally and Linguistically Diverse Education
- Culturally and Linguistically Diverse Education, MA
- Culturally and Linguistically Diverse Education MA with K-12 Endorsement
- Culturally and Linguistically Diverse Education, MA with K-12 Endorsement & Bilingual Education Specialist Endorsement
- Culturally and Linguistically Diverse Education, MA with Bilingual Education Specialist Endorsement
- Culturally and Linguistically Diverse Education Endorsement: K-12
- Culturally and Linguistically Diverse Education: Bilingual Education Specialist Endorsement
- Teaching for Cultural and Linguistic Diversity (TCLD) Certificate
- Curriculum and Instruction
- Critical Pedagogy, MA
- Doctoral Studies in Education
- Education and Human Development, PhD
- Leadership for Educational Equity, EdD
- Early Childhood Education
- Early Childhood Education Coaching Certificate
- Early Childhood Education, MA
- Early Childhood Education, MA Online Partnership with Boulder Journey School
- Early Childhood Education, MA Teacher Education Program Residency with Boulder Journey School
- Early Childhood Pedagogy Graduate Certificate
- Early Childhood Special Education Initial Licensure
- Teaching Young Bilingual Children Certificate
- Leadership for Educational Organizations
- Leading for Education Organizations - Leading Change for Student Success in Higher Education, MA
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- Leadership for Educational Organizations - Principal Licensure, MA
- Administrator License - Executive Leadership Program
- Principal Licensure
- Director of Special Education Endorsement
- Learning, Developmental and Family Sciences
- Learning, Developmental and Family Sciences, MA
- Learning Design and Technology
- Learning Design and Technology, MA
- Leadership for Learning Design and Technology Certificate
- Learner-centered Instructional Design Certificate
- Online Teaching and Learning Certificate
- Research and Evaluation Methods
- Research and Evaluation Methods, MA
- Applied Measurement Certificate
- Applied Statistical Modeling Certificate
- Classroom Assessment Certificate
- Culturally Responsive Methods Certificate
- Program Evaluation Certificate
- Qualitative Methods and Analysis Certificate
- Responsive Literacy Education
- Literacy Education, MA
- Literacy Education in English Education, MA
- Literacy Education with Reading Specialist K-12 Endorsement, MA
- Digital Teacher Librarian Certificate
- Early Literacy Certificate
- Literacy and Language Development for Diverse Learners Certificate
- Teacher Librarian Endorsement
- School Psychology
- School Psychology, PsyD
- Special Education
- Special Education, MA
- Special Education with Applied Behavior Analysis Emphasis, MA
- Special Education with Special Education Generalist (Ages 5-21) Endorsement, MA
- Special Education Generalist Endorsement Only
- Applied Behavior Analysis Certificate
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- Mathematics Education, MSEd
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- Middle School Math Endorsement
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- Mathematics Teaching and Learning PK-12 Certificate
- Teacher Education
- Teaching, MA
- Mentor Teacher Graduate Certificate
- Counseling
- School of Public Affairs
- Public Affairs
- Crime Analysis Graduate Certificate
- Criminal Justice, BA/MCJ
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- Disasters, Hazards, and Emergency Management (DHEM) Graduate Certificate
- Education Policy Graduate Certificate
- Emergency Management and Homeland Security (EMHS) Graduate Certificate
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- Graduate Certificate in Global Policy and Public Administration
- Graduate Certificate in International Justice and Human Security
- Graduate Certificate in Interpersonal Violence
- Local Government Graduate Certificate
- Managing for Social Equity Graduate Certificate
- Nonprofit Management Graduate Certificate
- Policy Entrepreneurship and Advocacy Graduate Certificate
- Public Administration, BA/Master of Public Policy
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- Public Administration, MPA
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- Public Administration/Criminal Justice, MPA/MCJ
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- Public Management Graduate Certificate
- Public Policy, MPP
- Public Affairs
CU Anschutz Programs
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- Online Pharmacy Programs
Geographic Information Science Undergraduate Certificate
Overview
The Geographic Information Science (GISci) Certificate in the Department of Geography and Environmental Sciences is designed to provide CU Denver undergraduates and graduates, as well as non-degree seeking students interested in professional development, with proficiency in the application of spatial thinking, geographic information science, and geospatial technologies in the social and physical sciences, spanning the natural, built and human environments and emphasizing human-environment interconnections.
Degree Requirements
- Complete a minimum of 18 credit hours from the approved courses.
- Complete a minimum of 12 upper division (3000-level and above) credit hours from the approved courses.
- Earn a minimum grade of B- (2.7) in all courses that apply to the certificate and must achieve a minimum cumulative certificate GPA of 3.0.
- Complete all credit hours with CU Denver faculty.
Certificate Requirements
- Complete the following required courses:
- GEOG 2080: The Power of Maps: Introduction to Geospatial Sciences
- GEOG 4060: Remote Sensing I: Introduction to Environmental Remote Sensing
- GEOG 4080: Introduction to GIS
- GEOG 4081: Cartography
- Complete one of the following statistics courses, or one approved by GIS Certificate advisor:
- ANTH 4050: Quantitative Methods in Anthropology
- BANA 2010: Business Statistics
- CVEN 3611: Engineering Statistics
- ECON 3811: Statistics with Computer Applications
- MATH 2830: Introductory Statistics
- PSYC 2090: Statistics and Research Methods
- SOCY 3119: Qualitative Methods
- Complete one of the following elective courses:
- GEOG 4070: Remote Sensing II: Advanced Remote Sensing
- GEOG 4085: GIS Applications for the Urban Environment
- GEOG 4090: Environmental Modeling with Geographic Information Systems
- GEOG 4091: Open Source Software for Geospatial Applications
- GEOG 4092: GIS Programming and Automation
- GEOG 4095: Deploying GIS Functionality on the Web
- GEOG 4235: GIS Applications in the Health Sciences
- CVEN 5382: Geospatial Data Development
- CVEN 5385: GIS Relational Database Systems (or an elective approved by the GISci Certificate Coordinator)
Student Learning Outcomes
Upon successful completion of the certificate, students will be able to:
- Articulate and apply basic theoretical underpinnings of spatial analytical principles, methodologies, and techniques.
- Effectively utilize at least three different types of software used for spatial analysis.
- Apply geospatial thinking, geographic information science, and geo-technologies appropriately.
- Analyze and develop solutions for diverse real-world problems that have spatial dimensions.
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