Curriculum for Applied Mathematics Major

Combine theory and real-world experience with our wide range of electives and hands-on projects, and prepare for endless career paths in applied mathematics.

Applied Mathematics Curriculum

In our Applied Mathematics curriculum, you’ll gain a strong foundation in mathematical theory and its practical applications in real life. Our Upside-Down curriculum blends conceptual knowledge with problem-solving skills, allowing you to dive into topics like data analysis & statistics, mathematical modeling & simulation, cryptography and cybersecurity, and algorithms from day one, while engaging in hands-on projects, internships, and experiential learning opportunities that will prepare you for a rewarding career in the dynamic field of mathematics and its real-world impact.

Our multidimensional approach to learning applied math:

In this program, we take a well-rounded path to learning mathematics.

First, you’ll build a strong?foundation?in advanced math and math theory that will serve as a basis for your future studies and career. Then you’ll have the flexibility to choose?math electives?that align with your interests, whether it’s statistics or other specialized areas. In addition, our?applied electives?allow you to apply math to real-world scenarios, tackling challenges and finding solutions in fields as diverse as the arts, business, computer science, and data science. Finally, you’ll have the opportunity to explore diverse topics through?general electives?or even pursue a minor to further develop your expertise.

Your education will be tailored to your passions and aspirations, giving you the freedom to follow your curiosity and expand your knowledge in multiple areas.

Learning Outcomes for Applied Mathematics

First Year
Fall Semester
- CSI 140 Introduction to Programming —OR— CSI 160 Python Programming
- MTH 230 Calculus I
- XXX Applied Elective
- COR 101 Navigating Higher Education
- COR 102 First Year Inquiry: Reading, Writing, &
Spring Semester
- MTH 240 Calculus II
- MTH 270 Discrete Mathematics
- XXX Applied Elective
- COR 103 Navigating Your Information Landscape
- COR 104 First Year Inquiry: Making, Doing, &
Second Year
Fall Semester
- MTH 340 Vector Calculus
- MTH XXX Math Elective
- XXX General Elective
- COR 201 Core Foundations: Making Meaning Through Science
- COR 202 Interdisciplinary Perspectives
Spring Semester
- MTH XXX Math Elective
- XXX Applied Elective
- XXX General Elective
- COR 203 Core Foundations: Making Meaning Through Culture
- COR 204 Theoretical Perspectives
Third Year
Fall Semester
- MTH 310 Linear Algebra
- MTH 380 Probability and Statistics
- MTH XXX Math Elective
- COR 301 Core Foundations: Connecting Place and Identity
- COR 302 Field Methods
Spring Semester
- MTH XXX Math Elective
- XXX Applied Elective
- XXX General Elective
- COR 303 Core Foundations: Connecting Past and Present
- COR 304 Digital Methods
Fourth Year
Fall Semester
- CCC 410ITS Capstone Design
- SCI XXX Lab Science
- MTH XXX Math Elective
- XXX Applied Elective
- XXX General Elective
Spring Semester
- CCC 412 ITS Capstone Senior Project
- MTH XXX Math Elective
- XXX Applied Elective
- XXX General Elective
- XXX General Elective

Students learn the history and basics of computing, as well as the fundamentals of programming. General topics include: the history of computing, number systems and classical computing, Boolean logic, algorithm design and implementation, and modern computer organization. Programming topics include: memory and variables, mathematical operations, basic input and output, decision making, repetitions, functions, and arrays.

Prerequisites
Credits	3

Students will learn the history and basics of computing as well as the fundamentals of Python programming. General topics include: the history of computing, number systems, Boolean logic, algorithm design and implementation, and modern computer organization. Programming topics include: memory and variables, data types, mathematical operations, basic file I/O, decision-making, repetitions, functions, and list basics.

Prerequisites
Credits	3

This course teaches the common application of calculus theories. You will investigate basic topics of differential and integral calculus with a specific emphasis on applications. You will perform differentiation and integration of algebraic and transcendental functions, apply optimization techniques, and learn to formulate and solve differential equations.

Prerequisites	Complete MTH-125 or receive a passing grade on the Calculus Readiness Test.
Credits	3

Why go to college? What does it mean to be educated? In this course you'll begin to answer these questions. We'll explore the academic expectations of higher education, college as a diverse community, and the significance of education around the world. By examining how these issues are negotiated and implemented at Champlain and elsewhere, you'll gain perspective on your own education and a deeper understanding of the ways that the college experience can be both liberating and transformative.

Prerequisites	Take Cor-102 concurrently.
Credits	3

Inquiry is about learning how to ask the right kinds of questions, and figuring out how to answer those questions through discussion and reflection. This course introduces you to the types of inquiry necessary to succeed at Champlain and beyond. You will explore the intersections of reading, writing, and thinking by focusing on a specific topic or theme. You will approach that focus through the interrogation of relevant texts and analysis that draws upon multiple analytical frameworks. For detailed descriptions of the individual sections of this course, cut and paste the following link into your browser: bit.ly/core-year-one

Prerequisites	Take COR-101 concurrently.
Credits	3

This is the second course in single-variable calculus. Students will learn techniques and applications of integration, be given further exposure to trigonometric, logarithmic, and exponential functions, and learn the basics of infinite sequences and series.

Prerequisites	MTH-230
Credits	3

Students will learn the concepts, techniques, and structures of discrete mathematics necessary for the software engineer, including logic, sets, functions, relations, Boolean algebra, and combinatorics. The course also introduces the concept of mathematical proof.

Prerequisites	Complete MTH-125 with a grade of B- or better; OR complete MTH-230
Credits	3

What makes an argument good or bad? What counts as evidence in our post-truth world? How can you understand and assess the truth value of a claim when you're not an expert? In this course you'll learn rhetorical strategies about how to examine arguments and types of evidence in different disciplines and fields of study. To help learn these strategies, you will do close readings of texts from a variety of disciplines in the liberal arts and sciences, popular culture, and social media.

Prerequisites	Take COR-104 concurrently.
Credits	3

This course introduces you to interdisciplinary inquiry using applied, project-based, and/or experiential methods. Regardless of the specific course focus, you'll have opportunities for making and doing interdisciplinary knowledge creation through a variety of approaches and activities. You will collaborate with other students, iterate on ideas, and work to develop a project. For detailed descriptions of the individual sections of this course, cut and paste the following link into your browser: bit.ly/core-year-one

Prerequisites	Take Cor-103 concurrently.
Credits	3

This course is designed to develop the topics of multivariate calculus. Emphasis is placed on multivariate functions, partial derivatives, multiple integration, solid analytical geometry, vector valued functions, and line and surface integrals. Upon completion, students should be able to select and use appropriate models and techniques for finding the solution to multivariate-related problems.

Prerequisites	Complete MTH-240
Credits	3

Science holds an elevated place in society. The knowledge and meaning that science makes are seen as having a particular and special value. This course explores knowledge and meaning making in order to allow a thoughtful analysis of, and then engagement with, science as a way of knowing, and then engages with the methods and theories of the sciences themselves, to understand the analytical, creative, and generative possibilities of science.

Prerequisites	Take COR-101, COR-102, COR-103, COR-104.
Credits	3

While each section of COR 202 addresses a different problem, issue, or topic, they all focus on interdisciplinary research. You will collect, analyze, and assess information from different disciplines in order to recognize patterns, contextualize arguments and synthesize ideas while collaborating on a project. Emphasis will be placed on helping you translate and apply what you learn about interdisciplinary research to other professional contexts. For detailed descriptions of the individual sections of this course, cut and paste the following link into your browser: bit.ly/core-year-two

Prerequisites	Take COR-101, COR-102, COR-103, COR-104.
Credits	3

Culture impacts everything we do, experience, and learn, but what is culture? Where does it come from, how does it form, and why does it have such a wide and deep impact on people's lives? This course explores culture as a system of meaning and meaning-making in order to allow for a more thoughtful analysis of, and then engagement with, cultural texts and media using different methodological approaches.

Prerequisites	Take COR-101, COR-102, COR-103, COR-104.
Credits	3

In this course, you will go in depth about a theoretical perspective that asks you to interrogate systems of power and power relationships. You will learn about the history of that perspective, including how it too was shaped by multiple contexts and compares with other viewpoints. You will use that perspective to analyze a specific topic, collection of texts, or cultural phenomena. For detailed descriptions of the individual sections of this course, cut and paste the following link into your browser: bit.ly/core-year-two

Prerequisites	Take COR-101, COR-102, COR-103, COR-104.
Credits	3

This is an introductory course in linear algebra. Topics include systems of linear equations, matrix algebra, determinants, eigenvalues & eigenvectors, and an introduction into the theory of vector spaces.

Prerequisites	MTH-210 OR MTH-230
Credits	3

This course will introduce students with a background in Calculus to the fields of probability and statistics. Topics include discrete and continuous probability, key terms and theorems, and different statistical distributions and models. Students will work with concepts by-hand and with technology in order to develop a greater understanding of the structure and applications of probability and statistics as a whole.

Prerequisites	MTH-240
Credits	3

Where we are shapes how we understand ourselves and each other. In this course, we will dig into the relationship between place and identity. We will learn how to think spatially, recognizing how one's identity is situated within and constructed through movement through different spaces--be they natural and built environments, rural and urban, or actual and virtual. COR 301 will help us understand the complex meanings of identity in a world defined by movement and change.

Prerequisites	Take COR-101, COR-102, COR-103, COR-104, COR-201, COR-202, COR-203, COR-204
Credits	3

Field methods are a collection of practices used in the sciences, arts, and humanities to understand phenomena in situ or as it is happening in a specific time and place. In this course, we will apply one or more field methods to research a topic, theme, or question that varies by section. We will learn practices associated with research in the field including but not limited to participant observation, data collection, and experimentation in order to navigate an uncontrolled environment. We will also examine the power dynamics between the researcher, informant, and subject matter to help us understand how, if not practiced ethically, field methods can create or reinforce biases rather than helping us learn with and make sense of the world around us. For detailed descriptions of the individual sections of this course, cut and paste the following link into your browser: bit.ly/core-year-three

Prerequisites	Take COR-101, COR-102, COR-103, COR-104, COR-201, COR-202, COR-203, COR-204
Credits	3

By learning from the past, we can make sense of the present and prepare for the future. In this course, we will learn how the 21st century has been and continues to be shaped by past social practices, ethical frameworks, power relations, and discourses. COR 303 is a course about how we know what we know about the past, and the ways different narratives about the past shape the present. Making connections between past and present will help us better understand how to live and make decisions in a globalized world defined by constant change.

Prerequisites	Take COR-101, COR-102, COR-103, COR-104, COR-201, COR-202, COR-203, COR-204
Credits	3

Digital methods are widely used forms of inquiry that employ technological tools to interrogate research questions important to the humanities and sciences (including the social sciences). Some examples include digital archiving, data mining, and story mapping. In this course, we will use one or more digital methods or tools to research a topic, theme or question that varies by section, with the express purpose of critiquing and reflecting on its application. This includes an examination of the values, flaws, and impacts of the methods or tools we are using, paying particular attention to their ethical implications and power dynamics. For detailed descriptions of the individual sections of this course, cut and paste the following link into your browser: bit.ly/core-year-three

Prerequisites	Take COR-101, COR-102, COR-103, COR-104, COR-201, COR-202, COR-203, COR-204
Credits	3

A senior-level seminar during which students research, design and plan a technical capstone project. Throughout the semester, students will demonstrate their ability to identify a research problem and solution that draw on their theoretical and practical training in their academic major and that can be executed in one academic semester. To be taken concurrently with CCC-411, ITS Capstone Reflective Component.

Prerequisites	ITS majors only and 90 completed credits.
Credits	2

A senior-level seminar during which students implement and verify a technical capstone project specific to their major discipline that they have researched and designed under the supervision of their principal faculty member. Completed projects will be fully documented and presented in writing and orally to appropriate audiences.

Prerequisites	Complete CCC-410ITS with a grade of C or better.
Credits	3

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