Search Results
Your search for courses · during 2023-24 · meeting requirements for Formal or Statistical Reasoning · returned 57 results
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CS 111 Introduction to Computer Science 6 credits
This course will introduce you to computer programming and the design of algorithms. By writing programs to solve problems in areas such as image processing, text processing, and simple games, you will learn about recursive and iterative algorithms, complexity analysis, graphics, data representation, software engineering, and object-oriented design. No previous programming experience is necessary. Students who have received credit for Computer Science 201 or above are not eligible to enroll in Computer Science 111.
- Fall 2023, Winter 2024, Spring 2024
- Formal or Statistical Reasoning Quantitative Reasoning Encounter
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CS 200 Data Structures with Problem Solving 6 credits
Think back to your favorite assignment from Introduction to Computer Science. Did you ever get the feeling that “there has to be a better/smarter way to do this problem”? The Data Structures course is all about how to store information intelligently and access it efficiently. How can Google take your query, compare it to billions of web pages, and return the answer in less than one second? How can one store information so as to balance the competing needs for fast data retrieval and fast data modification? To help us answer questions like these, we will analyze and implement stacks, queues, trees, linked lists, graphs, and hash tables. This version of Data Structures includes extra class time to support students’ problem solving by meeting five days per week, and is encouraged for students who may have struggled in CS111 or otherwise believe they would benefit from extra support. This course fulfills all requirements of CS 201, and students should take only one of CS 200 or CS 201.
Not open to students who have taken CS 201. This course meets 5 days a week
- Winter 2024
- Formal or Statistical Reasoning Quantitative Reasoning Encounter
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Computer Science 111 or instructor permission
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CS 201 Data Structures 6 credits
Think back to your favorite assignment from Introduction to Computer Science. Did you ever get the feeling that “there has to be a better/smarter way to do this problem”? The Data Structures course is all about how to store information intelligently and access it efficiently. How can Google take your query, compare it to billions of web pages, and return the answer in less than one second? How can one store information so as to balance the competing needs for fast data retrieval and fast data modification? To help us answer questions like these, we will analyze and implement stacks, queues, trees, linked lists, graphs, and hash tables. Students who have received credit for a course for which Computer Science 201 is a prerequisite are not eligible to enroll in Computer Science 201.
- Fall 2023, Winter 2024, Spring 2024
- Formal or Statistical Reasoning Quantitative Reasoning Encounter
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Computer Science 111 or instructor permission
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CS 201.02 Fall 2023
- Faculty:Eric Alexander 🏫 👤
- Size:34
- M, WAnderson Hall 329 9:50am-11:00am
- FAnderson Hall 329 9:40am-10:40am
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Sophomore Priority
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CS 202 Mathematics of Computer Science 6 credits
This course introduces some of the formal tools of computer science, using a variety of applications as a vehicle. You’ll learn how to encode data so that when you scratch the back of a DVD, it still plays just fine; how to distribute “shares” of your floor’s PIN so that any five of you can withdraw money from the floor bank account (but no four of you can); how to play chess; and more. Topics that we’ll explore along the way include: logic and proofs, number theory, elementary complexity theory and recurrence relations, basic probability, counting techniques, and graphs.
- Fall 2023, Winter 2024, Spring 2024
- Formal or Statistical Reasoning
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Computer Science 111 and Mathematics 111 or instructor permission
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CS 202.00 Fall 2023
- Faculty:Sneha Narayan 🏫 👤
- Size:34
- M, WAnderson Hall 329 11:10am-12:20pm
- FAnderson Hall 329 12:00pm-1:00pm
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CS 202.00 Winter 2024
- Faculty:Sneha Narayan 🏫 👤
- Size:34
- M, WAnderson Hall 329 1:50pm-3:00pm
- FAnderson Hall 329 2:20pm-3:20pm
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CS 202.00 Spring 2024
- Faculty:Eric Alexander 🏫 👤
- Size:34
- M, WAnderson Hall 329 12:30pm-1:40pm
- FAnderson Hall 329 1:10pm-2:10pm
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CS 208 Introduction to Computer Systems 6 credits
Are you curious what’s really going on when a computer runs your code? In this course we will demystify the machine and the tools that we use to program it. Our broad survey of how computer systems execute programs, store information, and communicate will focus on the hardware/software interface, including data representation, instruction set architecture, the C programming language, memory management, and the operating system process model.
- Fall 2023, Winter 2024, Spring 2024
- Formal or Statistical Reasoning
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Computer Science 200 or 201 or instructor permission
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CS 208.00 Fall 2023
- Faculty:Tanya Amert 🏫 👤
- Size:34
- M, WLanguage & Dining Center 104 12:30pm-1:40pm
- FLanguage & Dining Center 104 1:10pm-2:10pm
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CS 208.02 Fall 2023
- Faculty:Jeff Ondich 🏫 👤
- Size:34
- M, WLeighton 402 11:10am-12:20pm
- FLeighton 402 12:00pm-1:00pm
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CS 208.00 Winter 2024
- Faculty:Jeff Ondich 🏫 👤
- Size:28
- M, WAnderson Hall 329 8:30am-9:40am
- FAnderson Hall 329 8:30am-9:30am
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CS 232 Art, Interactivity, and Microcontrollers 6 credits
In this hands-on course, taught (in an art studio) by a sculpture professor and computer science professor, we’ll explore and create interactive three dimensional art. Using basic construction techniques, microprocessors, and programming, this class brings together sculpture, engineering, computer science, and aesthetic design. Students will engage the nuts and bolts of fabrication, learn to program microcontrollers, and study the design of interactive constructions. Collaborative labs and individual projects will culminate in a campus-wide exhibition. No prior building experience is required.
Extra time required
- Fall 2023
- Formal or Statistical Reasoning
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Computer Science 111
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CS 232.00 Fall 2023
- Faculty:David Musicant 🏫 👤 · Stephen Mohring 🏫 👤
- Size:12
- T, THBoliou 160 9:00am-11:30am
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CS 251 Programming Languages: Design and Implementation 6 credits
What makes a programming language like “Python” or like “Java”? This course will look past superficial properties (like indentation) and into the soul of programming languages. We will explore a variety of topics in programming language construction and design: syntax and semantics, mechanisms for parameter passing, typing, scoping, and control structures. Students will expand their programming experience to include other programming paradigms, including functional languages like Scheme and ML.
- Fall 2023, Winter 2024, Spring 2024
- Formal or Statistical Reasoning
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Computer Science 200, 201 or instructor permission
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CS 251.00 Fall 2023
- Faculty:David Musicant 🏫 👤
- Size:34
- M, WAnderson Hall 329 1:50pm-3:00pm
- FAnderson Hall 329 2:20pm-3:20pm
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CS 251.00 Winter 2024
- Faculty:David Musicant 🏫 👤
- Size:34
- M, WAnderson Hall 329 11:10am-12:20pm
- FAnderson Hall 329 12:00pm-1:00pm
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CS 251.00 Spring 2024
- Faculty:Anna Rafferty 🏫 👤
- Size:34
- M, WAnderson Hall 329 8:30am-9:40am
- FAnderson Hall 329 8:30am-9:30am
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CS 252 Algorithms 6 credits
A course on techniques used in the design and analysis of efficient algorithms. We will cover several major algorithmic design paradigms (greedy algorithms, dynamic programming, divide and conquer, and network flow). Along the way, we will explore the application of these techniques to a variety of domains (natural language processing, economics, computational biology, and data mining, for example). As time permits, we will include supplementary topics like randomized algorithms, advanced data structures, and amortized analysis.
- Fall 2023, Winter 2024, Spring 2024
- Formal or Statistical Reasoning
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Computer Science 200 or 201 and Computer Science 202 (Mathematics 236 will be accepted in lieu of Computer Science 202)
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CS 252.00 Winter 2024
- Faculty:Eric Alexander 🏫 👤
- Size:28
- M, WAnderson Hall 329 12:30pm-1:40pm
- FAnderson Hall 329 1:10pm-2:10pm
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CS 252.02 Spring 2024
- Faculty:Jeff Ondich 🏫 👤
- Size:28
- M, WLanguage & Dining Center 104 9:50am-11:00am
- FLanguage & Dining Center 104 9:40am-10:40am
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CS 254 Computability and Complexity 6 credits
An introduction to the theory of computation. What problems can and cannot be solved efficiently by computers? What problems cannot be solved by computers, period? Topics include formal models of computation, including finite-state automata, pushdown automata, and Turing machines; formal languages, including regular expressions and context-free grammars; computability and uncomputability; and computational complexity, particularly NP-completeness.
- Winter 2024, Spring 2024
- Formal or Statistical Reasoning
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Computer Science 200 or 201 and Computer Science 202 (Mathematics 236 will be accepted in lieu of Computer Science 202)
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CS 254.00 Winter 2024
- Faculty:Anna Rafferty 🏫 👤
- Size:34
- M, WLeighton 305 9:50am-11:00am
- FLeighton 305 9:40am-10:40am
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CS 254.00 Spring 2024
- Faculty:Josh Davis 🏫 👤
- Size:34
- M, WLeighton 305 1:50pm-3:00pm
- FLeighton 305 2:20pm-3:20pm
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CS 257 Software Design 6 credits
It’s easy to write a mediocre computer program, and lots of people do it. Good programs are quite a bit harder to write, and are correspondingly less common. In this course, we will study techniques, tools, and habits that will improve your chances of writing good software. While working on several medium-sized programming projects, we will investigate code construction techniques, debugging and profiling tools, testing methodologies, UML, principles of object-oriented design, design patterns, and user interface design.
- Fall 2023, Winter 2024, Spring 2024
- Formal or Statistical Reasoning
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Computer Science 200 or 201 or instructor permission
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CS 257.00 Winter 2024
- Faculty:Amy Csizmar Dalal 🏫 👤
- Size:28
- M, WWeitz Center 235 1:50pm-3:00pm
- FWeitz Center 235 2:20pm-3:20pm
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CS 257.02 Winter 2024
- Faculty: Staff
- Size:28
- M, WAnderson Hall 036 8:30am-9:40am
- FAnderson Hall 036 8:30am-9:30am
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CS 257.00 Spring 2024
- Faculty: Staff
- Size:28
- M, WAnderson Hall 329 9:50am-11:00am
- FAnderson Hall 329 9:40am-10:40am
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CS 304 Social Computing 6 credits
The last decade has seen a vast increase in the number of applications that connect people with one another. This course presents an interdisciplinary introduction to social computing, a field of study that explores how computational techniques and artifacts are used to support and understand social interactions. We will examine a number of socio-technical systems (such as wikis, social media platforms, and citizen science projects), discuss the design principles used to build them, and analyze how they help people mobilize and collaborate with one another. Assignments will involve investigating datasets from online platforms and exploring current research in the field.
- Spring 2024
- Formal or Statistical Reasoning Quantitative Reasoning Encounter
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Computer Science 200 or 201
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CS 304.00 Spring 2024
- Faculty:Sneha Narayan 🏫 👤
- Size:34
- M, WWeitz Center 235 11:10am-12:20pm
- FWeitz Center 235 12:00pm-1:00pm
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CS 314 Data Visualization 6 credits
Understanding the wealth of data that surrounds us can be challenging. Luckily, we have evolved incredible tools for finding patterns in large amounts of information: our eyes! Data visualization is concerned with taking information and turning it into pictures to better communicate patterns or discover new insights. It combines aspects of computer graphics, human-computer interaction, design, and perceptual psychology. In this course, we will learn the different ways in which data can be expressed visually and which methods work best for which tasks. Using this knowledge, we will critique existing visualizations as well as design and build new ones.
- Spring 2024
- Formal or Statistical Reasoning Quantitative Reasoning Encounter
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Computer Science 200 or 201
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CS 314.00 Spring 2024
- Faculty:Eric Alexander 🏫 👤
- Size:16
- M, WHulings 316 9:50am-11:00am
- FHulings 316 9:40am-10:40am
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CS 320 Machine Learning 6 credits
What does it mean for a machine to learn? Much of modern machine learning focuses on identifying patterns in large datasets and using these patterns to make predictions about the future. Machine learning has impacted a diverse array of applications and fields, from scientific discovery to healthcare to education. In this artificial intelligence-related course, we’ll both explore a variety of machine learning algorithms in different application areas, taking both theoretical and practical perspectives, and discuss impacts and ethical implications of machine learning more broadly. Topics may vary, but typically focus on regression and classification algorithms, including neural networks.
- Fall 2023, Winter 2024
- Formal or Statistical Reasoning
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Computer Science 200 or 201 and Computer Science 202 (Mathematics 236 will be accepted in lieu of Computer Science 202)
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CS 320.00 Fall 2023
- Faculty:Anna Rafferty 🏫 👤
- Size:34
- M, WLanguage & Dining Center 104 9:50am-11:00am
- FLanguage & Dining Center 104 9:40am-10:40am
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CS 320.00 Winter 2024
- Faculty: Staff
- Size:34
- M, WLanguage & Dining Center 104 9:50am-11:00am
- FLanguage & Dining Center 104 9:40am-10:40am
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CS 331 Computer Networks 6 credits
The Internet is composed of a large number of heterogeneous, independently-operating computer networks that work together to transport all sorts of data to points all over the world. The fact that it does this so well given its complexity is a minor miracle. In this class, we’ll study the structure of these individual networks and of the Internet, and figure out how this “magic” takes place. Topics include TCP/IP, protocols and their implementations, routing, security, network architecture, DNS, peer-to-peer networking, and Wi-Fi along with ethical and privacy issues.
- Winter 2024
- Formal or Statistical Reasoning
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Computer Science 200 or 201 or instructor permission
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CS 331.00 Winter 2024
- Faculty: Staff
- Size:34
- M, WWeitz Center 235 12:30pm-1:40pm
- FWeitz Center 235 1:10pm-2:10pm
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CS 332 Operating Systems 6 credits
If you’re working in the lab, you might be editing a file while waiting for a program to compile. Meanwhile, the on-screen clock ticks, a program keeps watch for incoming e-mail, and other users can log onto your machine from elsewhere in the network. Not only that, but if you write a program that reads from a file on the hard drive, you are not expected to concern yourself with turning on the drive’s motor or moving the read/write arms to the proper location over the disk’s surface. Coordinating all this hardware and software is the job of the operating system. In this course we will study the fundamentals of operating system design, including the operating system kernel, scheduling and concurrency, memory management, and file systems.
- Winter 2024
- Formal or Statistical Reasoning
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Computer Science 201 and 208 or instructor permission
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CS 332.00 Winter 2024
- Faculty:Tanya Amert 🏫 👤
- Size:16
- M, WAnderson Hall 323 12:30pm-1:40pm
- FAnderson Hall 323 1:10pm-2:10pm
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CS 334 Database Systems 6 credits
Database systems are used in almost every aspect of computing, including managing data for websites and apps, but also large-scale data science archives. Why, and how? This course takes a multi-pronged approach. From a systems perspective, we will look at the low-level details of how a database system works internally, studying data storage, indexing, and query optimization. From a theory perspective, we will examine ideas such as normal forms and relational algebra. From a utilization perspective, we will look at how query languages such as SQL interface with the database system, and understand how SQL queries really work.
- Spring 2024
- Formal or Statistical Reasoning
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Computer Science 200 or 201 or consent of the instructor.
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CS 334.00 Spring 2024
- Faculty:David Musicant 🏫 👤
- Size:34
- M, WAnderson Hall 329 1:50pm-3:00pm
- FAnderson Hall 329 2:20pm-3:20pm
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CS 338 Computer Security 6 credits
When hackers can disable gas pipelines, national hospital systems, and electrical grids, and data brokers can create a largely unregulated world-wide surveillance system, there’s a clear need for people who understand the mechanisms of computer security and insecurity. Towards that end, in this course we will study technical and social aspects of computer and network security. Topics will include threat modeling, cryptography, secure network protocols, web security, ethical hacking and penetration testing, authentication, authorization, historical hacking incidents, usability, privacy, and security-related law.
- Fall 2023
- Formal or Statistical Reasoning
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Computer Science 201
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CS 338.00 Fall 2023
- Faculty:Jeff Ondich 🏫 👤
- Size:34
- M, WAnderson Hall 036 8:30am-9:40am
- FAnderson Hall 036 8:30am-9:30am
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CS 344 Human-Computer Interaction 6 credits
The field of human-computer interaction addresses two fundamental questions: how do people interact with technology, and how can technology enhance the human experience? In this course, we will explore technology through the lens of the end user: how can we design effective, aesthetically pleasing technology, particularly user interfaces, to satisfy user needs and improve the human condition? How do people react to technology and learn to use technology? What are the social, societal, health, and ethical implications of technology? The course will focus on design methodologies, techniques, and processes for developing, testing, and deploying user interfaces.
- Spring 2024
- Formal or Statistical Reasoning Quantitative Reasoning Encounter
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Computer Science 200 or 201 or instructor permission
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CS 344.00 Spring 2024
- Faculty:Amy Csizmar Dalal 🏫 👤
- Size:34
- T, THAnderson Hall 329 1:15pm-3:00pm
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CS 347 Advanced Software Design 6 credits
This course helps students to strengthen their ability to design modular, extensible and maintainable software. The focus of the course is on the design of modern cloud applications. Students will learn how to decompose complex applications into a set of back-end services, develop and debug these services, and deploy them in the cloud. This class is structured around a large project that will be extended over the course of the term.
- Fall 2023, Spring 2024
- Formal or Statistical Reasoning
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Computer Science 257
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CS 347.00 Fall 2023
- Faculty: Staff
- Size:34
- M, WLeighton 305 9:50am-11:00am
- FLeighton 305 9:40am-10:40am
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CS 347.00 Spring 2024
- Faculty: Staff
- Size:34
- M, WWeitz Center 235 12:30pm-1:40pm
- FWeitz Center 235 1:10pm-2:10pm
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CS 362 Computational Biology 6 credits
Recent advances in high-throughput experimental techniques have revolutionized how biologists measure DNA, RNA and protein. The size and complexity of the resulting datasets have led to a new era where computational methods are essential to answering important biological questions. This course focuses on the process of transforming biological problems into well formed computational questions and the algorithms to solve them. Topics include approaches to sequence comparison and alignment; molecular evolution and phylogenetics; DNA/RNA sequencing and assembly; and specific disease applications including cancer genomics.
- Winter 2024
- Formal or Statistical Reasoning Quantitative Reasoning Encounter
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Computer Science 200 or 201 and Computer Science 202 (Mathematics 236 will be accepted in lieu of Computer Science 202)
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CS 362.00 Winter 2024
- Faculty:Layla Oesper 🏫 👤
- Size:16
- M, WAnderson Hall 223 11:10am-12:20pm
- FAnderson Hall 223 12:00pm-1:00pm
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CS 362.M Winter 2024
- Size:18
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ENTS 232 Research Methods in Environmental Studies 3 credits
This course covers various methodologies that are used to prosecute interdisciplinary academic research relating to the environment. Among the topics covered are: identification of a research question, methods of analysis, hypothesis testing, and effective rhetorical methods, both oral and written.
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ENTS 232.00 Fall 2023
- Faculty:Tsegaye Nega 🏫 👤
- Size:25
- TWillis 203 8:15am-10:00am
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LING 110 Introduction to Linguistics 6 credits
The capacity to acquire and use natural languages such as English is surely one of the more remarkable features of human nature. In this course, we explore several aspects of this ability. Topics include the sound systems of natural languages, the structure of words, principles that regulate word order, the course of language acquisition in children, and what these reveal about the nature of the mind.
- Winter 2024, Spring 2024
- Formal or Statistical Reasoning
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LING 110.00 Winter 2024
- Faculty: Staff
- Size:30
- T, THWillis 204 10:10am-11:55am
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LING 110.00 Spring 2024
- Faculty: Staff
- Size:30
- T, THCMC 306 10:10am-11:55am
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Sophomore Priority
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LING 115 Introduction to the Theory of Syntax 6 credits
This course is organized to enable the student to actively participate in the construction of a rather elaborate theory of the nature of human cognitive capacity to acquire and use natural languages. In particular, we concentrate on one aspect of that capacity: the unconscious acquisition of a grammar that enables a speaker of a language to produce and recognize sentences that have not been previously encountered. In the first part of the course, we concentrate on gathering notation and terminology intended to allow an explicit and manageable description. In the second part, we depend on written and oral student contributions in a cooperative enterprise of theory construction.
- Fall 2023, Spring 2024
- Formal or Statistical Reasoning
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LING 115.00 Fall 2023
- Faculty:Catherine Fortin 🏫 👤
- Size:20
- M, WWeitz Center 233 11:10am-12:20pm
- FWeitz Center 233 12:00pm-1:00pm
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LING 115.00 Spring 2024
- Faculty:Catherine Fortin 🏫 👤
- Size:20
- M, WWeitz Center 233 11:10am-12:20pm
- FWeitz Center 233 12:00pm-1:00pm
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Sophomore Priority
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LING 216 Generative Approaches to Syntax 6 credits
This course has two primary goals: to provide participants with a forum to continue to develop their analytical skills (i.e., to ‘do syntax’), and to acquaint them with generative syntactic theory, especially the Principles and Parameters approach. Participants will sharpen their technological acumen, through weekly problem solving, and engage in independent thinking and analysis, by means of formally proposing novel syntactic analyses for linguistic phenomena. By the conclusion of the course, participants will be prepared to read and critically evaluate primary literature couched within this theoretical framework.
- Winter 2024
- Formal or Statistical Reasoning
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Linguistics 115
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LING 216.00 Winter 2024
- Faculty:Catherine Fortin 🏫 👤
- Size:25
- M, WLeighton 426 1:50pm-3:00pm
- FLeighton 426 2:20pm-3:20pm
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LING 217 Phonetics and Phonology 6 credits
Although no two utterances are ever exactly the same, we humans don’t function like tape recorders; we overlook distinctions to which mechanical recording devices are sensitive, and we “hear” contrasts which are objectively not there. What we (think we) hear is determined by the sound system of the language we speak. This course examines the sound systems of human languages, focusing on how speech sounds are produced and perceived, and how these units come to be organized into a systematic network in the minds of speakers of languages.
- Fall 2023
- Formal or Statistical Reasoning
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100-level Linguistics course
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LING 217.00 Fall 2023
- Faculty: Staff
- Size:25
- M, WWillis 114 1:50pm-3:00pm
- FWillis 114 2:20pm-3:20pm
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LING 340 Topics in Semantics 6 credits
Semantics is the study of what words and constructions mean in a language and how speakers come to actually interpret those meanings. In this course we explore several objects of inquiry within the field of semantics, including compositional semantics (i.e., the computation of meaning over syntactic structures), lexical semantics (with a particular emphasis on verb meanings), and how the various interpretations of ambiguous constructions are derived.
- Spring 2024
- Formal or Statistical Reasoning
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Linguistics 216
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LING 340.00 Spring 2024
- Faculty:Cherlon Ussery 🏫 👤
- Size:15
- M, WAnderson Hall 323 12:30pm-1:40pm
- FAnderson Hall 323 1:10pm-2:10pm
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LING 399 Senior Thesis 3 credits
- Fall 2023
- Formal or Statistical Reasoning
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MATH 101 Calculus with Problem Solving 6 credits
An introduction to the central ideas of calculus with review and practice of those skills needed for the continued study of calculus. Problem solving strategies will be emphasized. In addition to regular MWF class time, students will be expected to attend two problem-solving sessions each week, one on Monday or Tuesday, and one on Wednesday or Thursday. Details will be provided on the first day of class.
- Fall 2023, Winter 2024
- Formal or Statistical Reasoning
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Not open to students who have received credit for Mathematics 111.
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MATH 111 Introduction to Calculus 6 credits
An introduction to the differential and integral calculus. Derivatives, antiderivatives, the definite integral, applications, and the fundamental theorem of calculus.
- Fall 2023, Winter 2024, Spring 2024
- Formal or Statistical Reasoning
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Requires placement via the Calculus Placement Exam 1, see Mathematics web page. Not open to students who have received credit for Mathematics 101.
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MATH 120 Calculus 2 6 credits
Inverse functions, integration by parts, improper integrals, modeling with differential equations, vectors, calculus of functions of two independent variables including directional derivatives and double integrals, Lagrange multipliers.
- Fall 2023, Winter 2024, Spring 2024
- Formal or Statistical Reasoning
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Mathematics 101, 111, score of 4 or 5 on Calculus AB Exam or placement via a Carleton placement exam. Not open to students who have received credit for Mathematics 211 or have a score of 4 or 5 on the AP Calculus BC exam
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MATH 210 Calculus 3 6 credits
Vectors, curves, calculus of functions of three independent variables, including directional derivatives and triple integrals, cylindrical and spherical coordinates, line integrals, Green’s theorem, sequences and series, power series, Taylor series.
- Winter 2024, Spring 2024
- Formal or Statistical Reasoning
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Mathematics 120. This course cannot be substituted for Mathematics 211
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MATH 211 Introduction to Multivariable Calculus 6 credits
Vectors, curves, partial derivatives, gradient, multiple and iterated integrals, line integrals, Green’s theorem.
- Fall 2023, Winter 2024
- Formal or Statistical Reasoning
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Score of 4 or 5 on the AP Calculus BC exam, or placement via Calculus Placement Exam #3
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MATH 232 Linear Algebra 6 credits
Linear algebra centers on the study of highly structured functions called linear transformations. Given the abundance of nonlinear functions in mathematics, it may come as a surprise that restricting to linear ones opens the door to a rich and powerful theory that finds applications throughout mathematics, statistics, computer science, and the natural and social sciences. Linear transformations are everywhere, once we know what to look for. They appear in calculus as the functions that are used to define lines and planes in Euclidean space. In fact, differentiation is also a linear transformation that takes one function to another. The course focuses on developing geometric intuition as well as computational matrix methods. Topics include kernel and image of a linear transformation, vector spaces, determinants, eigenvectors and eigenvalues.
- Fall 2023, Winter 2024, Spring 2024
- Formal or Statistical Reasoning
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Mathematics 120 or Mathematics 211
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MATH 236 Mathematical Structures 6 credits
Basic concepts and techniques used throughout mathematics. Topics include logic, mathematical induction and other methods of proof, problem solving, sets, cardinality, equivalence relations, functions and relations, and the axiom of choice. Other topics may include: algebraic structures, graph theory, and basic combinatorics.
- Fall 2023, Winter 2024, Spring 2024
- Formal or Statistical Reasoning
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Mathematics 232 and either Mathematics 210 or Mathematics 211
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MATH 240 Probability 6 credits
Introduction to probability and its applications. Topics include discrete probability, random variables, independence, joint and conditional distributions, expectation, limit laws and properties of common probability distributions.
- Fall 2023, Winter 2024
- Formal or Statistical Reasoning
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Mathematics 120 or Mathematics 211
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MATH 241 Ordinary Differential Equations 6 credits
Ordinary differential equations are a fundamental language used by mathematicians, scientists, and engineers to describe processes involving continuous change. In this course we develop ordinary differential equations as models of real world phenomena and explore the mathematical ideas that arise within these models. Topics include separation of variables; phase portraits; equilibria and their stability; non-dimensionalization; bifurcation analysis; and modeling of physical, biological, chemical, and social processes.
- Winter 2024, Spring 2024
- Formal or Statistical Reasoning
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Mathematics 232 or instructor permission
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MATH 244 Geometries 6 credits
Euclidean geometry from an advanced perspective; projective, hyperbolic, inversive, and/or other geometries. Recommended for prospective secondary school teachers.
- Fall 2023
- Formal or Statistical Reasoning
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Mathematics 236
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MATH 271 Computational Mathematics 6 credits
An introduction to mathematical ideas from numerical approximation, scientific computing, and/or data analysis. Topics will be selected from numerical linear algebra, numerical analysis, and optimization. Theory, implementation, and application of computational methods will be emphasized.
Not open to students who have already received credit for Mathematics 295 Numerical Analysis
- Winter 2024
- Formal or Statistical Reasoning
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Mathematics 232
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MATH 282 Elementary Theory of Numbers 6 credits
A first course in number theory, covering properties of the integers. Topics include the Euclidean algorithm, prime factorization, Diophantine equations, congruences, divisibility, Euler’s phi function and other multiplicative functions, primitive roots, and quadratic reciprocity. Along the way we will encounter and explore several famous unsolved problems in number theory. If time permits, we may discuss further topics, including integers as sums of squares, continued fractions, distribution of primes, Mersenne primes, the RSA cryptosystem.
Formerly Math 312
- Winter 2024
- Formal or Statistical Reasoning
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Mathematics 236 or instructor permission
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MATH 295 Introduction to Computational Algebraic Geometry 6 credits
Classical algebraic geometry is the study of geometric objects defined by polynomial equations. This course will cover fundamental concepts and techniques—varieties, ideals, and Gröbner bases, to name a few—as well as algorithms for solving equations and computing intersections of curves and surfaces. Ultimately, this course will build towards several beautiful results: the 27 lines on a cubic surface, the 28 bitangents on a planar quartic, and the construction of regular polygons. Students will learn to use software such as SageMath to perform computations and practice visualization. While familiarity with Python would be helpful, it is by no means required!
Sophomore Priority
- Spring 2024
- Formal or Statistical Reasoning
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Mathematics 236 or instructor permission
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MATH 321 Real Analysis I 6 credits
A systematic study of concepts basic to calculus, such as topology of the real numbers, limits, differentiation, integration, convergence of sequences, and series of functions.
- Fall 2023, Spring 2024
- Formal or Statistical Reasoning
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math.236 or math.236p
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MATH 332 Advanced Linear Algebra 6 credits
Selected topics beyond the material of Mathematics 232. Topics may include the Cayley-Hamilton theorem, the spectral theorem, factorizations, canonical forms, determinant functions, estimation of eigenvalues, inner product spaces, dual vector spaces, unitary and Hermitian matrices, operators, infinite-dimensional spaces, and various applications.
- Fall 2023
- Formal or Statistical Reasoning
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Mathematics 236 or instructor permission
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MATH 341 Partial Differential Equations 6 credits
An introduction to partial differential equations with emphasis on the heat equation, wave equation, and Laplace’s equation. Topics include the method of characteristics, separation of variables, Fourier series, Fourier transforms and existence/uniqueness of solutions.
- Spring 2024
- Formal or Statistical Reasoning
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Mathematics 241
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MATH 342 Abstract Algebra I 6 credits
Introduction to algebraic structures, including groups, rings, and fields. Homomorphisms and quotient structures, polynomials, unique factorization. Other topics may include applications such as Burnside’s counting theorem, symmetry groups, polynomial equations, or geometric constructions.
- Winter 2024
- Formal or Statistical Reasoning
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Mathematics 236 or instructor permission
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MATH 352 Galois Theory 6 credits
In the nineteenth century, Évariste Galois discovered a deep connection between field theory and group theory. Now known as Galois theory, this led to the resolution of several centuries-old problems, including whether there is a version of the quadratic formula for higher-degree polynomials, and whether the circle can be squared. Today Galois theory is a fundamental concept for many mathematical fields, from topology to algebra to number theory. This course develops the theory in a modern framework, and explores several applications. Topics include field extensions, classical constructions, splitting fields, the Galois correspondence, Galois groups of polynomials, and solvability by radicals.
This course can be repeated only by students who took MATH 352 22-23
- Spring 2024
- Formal or Statistical Reasoning
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Mathematics 342
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MATH 354 Topology 6 credits
An introduction to the study of topological spaces. We develop concepts from point-set and algebraic topology in order to distinguish between different topological spaces up to homeomorphism. Topics include methods of construction of topological spaces; continuity, connectedness, compactness, Hausdorff condition; fundamental group, homotopy of maps.
- Winter 2024
- Formal or Statistical Reasoning
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Mathematics 236 or instructor permission
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MATH 361 Complex Analysis 6 credits
The theoretical foundations for the calculus of functions of a complex variable.
- Winter 2024
- Formal or Statistical Reasoning
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Mathematics 321 or instructor permission. Students who have already received credit for Mathematics 261 may only take this course with instructor permission
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PHIL 210 Logic 6 credits
The study of formal logic has obvious and direct applicability to a wide variety of disciplines (including mathematics, computer science, linguistics, philosophy, cognitive science, and many others). Indeed, the study of formal logic helps us to develop the tools and know-how to think more clearly about arguments and logical relationships in general; and arguments and logical relationships form the backbone of any rational inquiry. In this course we will focus on propositional logic and predicate logic, and look at the relationship that these have to ordinary language and thought.
- Spring 2024
- Formal or Statistical Reasoning
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PHIL 210.00 Spring 2024
- Faculty:Jason Decker 🏫 👤
- Size:25
- T, THLeighton 304 10:10am-11:55am
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PSYC 200 Measurement and Data Analysis in Psychology 6 credits
The course considers the role of measurement and data analysis focused on behavioral sciences. Various forms of measurement and standards for the evaluation of measures are explored. Students learn how to summarize, organize, and evaluate data using a variety of techniques that are applicable to research in psychology and other disciplines. Among the analyses discussed and applied are tests of means, various forms of analysis of variance, correlation and regression, planned and post-hoc comparisons, as well as various non-parametric tests. Research design is also explored.
- Winter 2024, Spring 2024
- Formal or Statistical Reasoning Quantitative Reasoning Encounter
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Psychology 110, or Psychology/Cognitive Science 232/233, or instructor permission; Concurrent registration in Psychology 201 required
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PSYC 200.00 Winter 2024
- Faculty:Mija Van Der Wege 🏫 👤
- Size:30
- M, WAnderson Hall 121 11:10am-12:20pm
- FAnderson Hall 121 12:00pm-1:00pm
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PSYC 201 required.
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STAT 120 Introduction to Statistics 6 credits
Introduction to statistics and data analysis. Practical aspects of statistics, including extensive use of the statistical software R, interpretation and communication of results, will be emphasized. Topics include: exploratory data analysis, correlation and linear regression, design of experiments, basic probability, the normal distribution, randomization approach to inference, sampling distributions, estimation, hypothesis testing, and two-way tables. Students who have taken Mathematics 211 are encouraged to consider the more advanced Mathematics 240/Statistics 250 Probability/Statistical Inference sequence.
- Fall 2023, Winter 2024, Spring 2024
- Formal or Statistical Reasoning Quantitative Reasoning Encounter
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Not open to students who have already received credit for Psychology 200/201, Sociology/Anthropology 239 or Statistics 250
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STAT 220 Introduction to Data Science 6 credits
This course will cover the computational side of data analysis, including data acquisition, management, and visualization tools. Topics may include: data scraping, data wrangling, data visualization using packages such as ggplots, interactive graphics using tools such as Shiny, supervised and unsupervised classification methods, and understanding and visualizing spatial data. We will use the statistics software R in this course.
- Fall 2023, Winter 2024, Spring 2024
- Formal or Statistical Reasoning Quantitative Reasoning Encounter
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Statistics 120, Statistics 230 or Statistics 250
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STAT 230 Applied Regression Analysis 6 credits
A second course in statistics covering simple linear regression, multiple regression and ANOVA, and logistic regression. Exploratory graphical methods, model building and model checking techniques will be emphasized with extensive use of statistical software to analyze real-life data.
- Fall 2023, Winter 2024, Spring 2024
- Formal or Statistical Reasoning Quantitative Reasoning Encounter
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Statistics 120, Statistics 250, Psychology 200, or AP Statistics Exam score of 4 or 5.
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STAT 250 Introduction to Statistical Inference 6 credits
Introduction to modern mathematical statistics. The mathematics underlying fundamental statistical concepts will be covered as well as applications of these ideas to real-life data. Topics include: resampling methods (permutation tests, bootstrap intervals), classical methods (parametric hypothesis tests and confidence intervals), parameter estimation, goodness-of-fit tests, regression, and Bayesian methods. The statistical package R will be used to analyze data sets.
- Winter 2024, Spring 2024
- Formal or Statistical Reasoning Quantitative Reasoning Encounter
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Mathematics 240 Probability
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STAT 260 Introduction to Sampling Techniques 6 credits
Covers sampling design issues beyond the basic simple random sample: stratification, clustering, domains, and complex designs like two-phase and multistage designs. Inference and estimation techniques for most of these designs will be covered and the idea of sampling weights for a survey will be introduced. We may also cover topics like graphing complex survey data and exploring relationships in complex survey data using regression and chi-square tests.
- Winter 2024
- Formal or Statistical Reasoning Quantitative Reasoning Encounter
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Statistics 120, Statistics 230, or Statistics 250
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STAT 285 Statistical Consulting 2 credits
Students will apply their statistical knowledge by analyzing data problems solicited from the Northfield community. Students will also learn basic consulting skills, including communication and ethics.
All interested students are encouraged to add to the waitlist and the instructor will reach out after registration. This course is repeatable, but if the instructor cannot admit every student on the waitlist, priority will be given first to Statistics majors who have not previously taken the course and then to other students who have not taken the course.
- Fall 2023, Winter 2024, Spring 2024
- Formal or Statistical Reasoning Quantitative Reasoning Encounter
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Statistics 230 and instructor permission
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STAT 310 Spatial Statistics 6 credits
Spatial data is becoming increasingly available in a wide range of disciplines, including social sciences such as political science and criminology, as well as natural sciences such as geosciences and ecology. This course will introduce methods for exploring and analyzing spatial data. Methods will be covered to describe and analyze three main types of spatial data: areal, point process, and point-referenced (geostatistical) data. The course will also extensively cover tools for working with spatial data in R. The goals are that by the end of the course, students will be able to read, explore, plot, and describe spatial data in R, determine appropriate methods for analyzing a given spatial dataset, and work with their own spatial dataset(s) in R and derive conclusions about an application through statistical inference.
- Spring 2024
- Formal or Statistical Reasoning Quantitative Reasoning Encounter
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Statistics 230 and Statistics 250
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STAT 320 Time Series Analysis 6 credits
Models and methods for characterizing dependence in data that are ordered in time. Emphasis on univariate, quantitative data observed over evenly spaced intervals. Topics include perspectives from both the time domain (e.g., autoregressive and moving average models, and their extensions) and the frequency domain (e.g., periodogram smoothing and parametric models for the spectral density).
- Fall 2023
- Formal or Statistical Reasoning Quantitative Reasoning Encounter
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Statistics 230 and 250. Exposure to matrix algebra may be helpful but is not required