Science and Mathematics Program

OVERVIEW

When Pythagoras used patterns of pebbles to prove that the sum of the first n odd numbers is n2, he did not know that more than 2000 years later, Galileo would recognize that mathematical pattern in free-fall motion to make the first quantitative break-through in the laws of motion. Such is an example of the “unreasonable effectiveness” of mathematics, not only to describe, but also to predict phenomena. Our program showcases that effectiveness when math is being developed for specific applications, but more wonderfully and miraculously, showcases that effectiveness when math is being developed with absolutely no applications in mind, only to turn out decades, centuries, even millennia later to be powerfully predictive models.

Similarly, science and its method of controlled experiments allows us to discern illusions and falsehoods about how reality works and extends our faulty and truncated perceptions beyond the human scale of space and time: from quarks to molecules to E. coli to the human heart to populations to the environment to the multiverse; from the Planck time to billions of years in the past and in the future. The causal phenomena revealed by science offer a synthesis, a unity underlying diversity, whether that’s evolution for biology or the Turing machine for computer science. Such causal phenomena offer power: the power to alter economic and social relations via technology, to confront conceptions of meaning and value and ethics, to succeed at human pursuits, and to survive.

Nested within the liberal arts mission of the university, our program also presents science as a human struggle with human themes that connect science to other human endeavors via the human condition. How did we get to where we are? What epochal shifts have occurred in our understanding of the world? What do we make of the discovery that even our most deeply held assumptions about the nature of life and reality appear to be historically contingent? Is there an absolute or are all truths provisional?

COURSE DESCRIPTIONS

The Science and Mathematics program at SUA offers courses in three areas: Biological Sciences, Physical Sciences, and Mathematics. One course from each area is required of all students, but these may be taken in any order. In addition to general interest courses specially designed for students not planning on pursuing further studies in science or mathematics, the program offers foundational science courses for students interested in health or science careers. Further courses may be taken as electives.

Students taking courses in the Science and Mathematics program will learn to:

  1. Understand the nature of mathematical or scientific inquiry.
  2. Understand the relevance of mathematical or scientific inquiry to contemporary society.
  3. Read mathematical or scientific texts with comprehension.
  4. Solve problems using mathematical or scientific skills.
  5. Effectively communicate mathematical or scientific principles.

Note that some Life Sciences concentration courses have redundant and overlapping content with some Science and Math program courses. Enrollment in certain Life Sciences courses will prevent co- or later enrollment in some Science and Math courses. Read course catalog descriptions carefully.

Topics (290), Advanced Topics (390, 490), Special Study (298 398, 498), and Independent Study (299, 399, 499) courses may be offered at 1-4 units.

Students who are interested in pursuing the health or natural sciences after graduating from SUA should consider taking courses that may fulfill admissions or prerequisite requirements for such further study. Students should consult with the Health Professions Advisor but may want to consider taking the following courses:

  • Chemistry 150, Foundations of Chemistry
  • IBC 200, Integrated Biology and Chemistry
  • Chemistry 301, Organic Chemistry I (see Life Sciences concentration)
  • Chemistry 340, Biochemistry (see Life Sciences concentration)
  • Math 101, Statistics or Biology 205, Biostatistics 
  • Math 170, Calculus I

Classes

ASTR 120 : Earth’s Cosmic Context

This course will explore how astronomers have been able to discover Earth’s place in the universe, and the structure of the local galaxy and universe. Within this exploration, astronomers have also discovered thousands of other planets, and have begun to map the deepest extents of time and space. From the discovery of distant galaxies and signatures of the origins of the universe, we also have begun to unravel the mysteries of the Big Bang, the formation of the first stars and galaxies, and how the earth arose from billions of years of cosmic evolution. The course will explore the search for exoplanets and the early universe with a mix of in-class exercises, analysis of space-based datasets and observations with telescopes and instruments.

Units

3

BIO 110 : Nature and Humanity

This course is an introduction to environmental issues – the interactions of humanity and industrial civilization with the natural environment of Earth. The course draws on scientific, technological, and social perspectives to examine current and future environmental challenges, including the impacts of human actions on natural ecosystems, natural resources, pollution, and climate change.

Units

3

BIO 115 : Cancer Biology

Everyone knows someone who has been impacted by cancer. By merely surviving, our bodies are primed with the capacity to develop this disease. This course will explore the ‘war on cancer’ in the context of human history, cell biology, and dramatic storytelling. Laboratory exercises will explore the biological basis of this disease. Not open to students who are enrolled in or who have taken and passed IBC 200 with at least a grade of C- or P.

Units

3

BIO 120 : Human Body in a Modern World

The human body is an amazing product of 3.5 billion years of evolution. From our cells to our organ systems, our bodies are beautifully designed to thrive on planet Earth. In this course, we will explore the structure and function of various human organ systems including the circulatory system, respiratory system, digestive system, reproductive system, and portions of the endocrine system (kidneys and adrenal glands). Along the way, we will discuss challenges faced by each of these organ systems in this modern age that can result in disease such as air pollution, endocrine disrupting chemicals, overuse of antibiotics, chronic stress, and a highly-processed industrial diet. Students will perform various hands-on laboratory activities that will reinforce how their bodies function and how they can live a healthy life. Not open to students who are enrolled in or who have taken and passed BIO 303 with at least a grade of C- or P.

Units

3

BIO 130 : Genetics and Evolution

Have you ever wondered about DNA and how slight alterations to the genetic code have produced the amazing variety of life forms that inhabit our planet? This class will explore exciting topics in both genetics and evolutionary biology, some of which include: the genetics of cancer, reproduction and inheritance, epigenetics, GMOs, DNA forensics, antibiotic resistance, evolution of the “fat gene,” and how to build evolutionary trees. Students will explore these topics through lectures, case study work, and hands-on laboratory exercises. Not open to students who are enrolled in or who have taken and passed IBC 200 with at least a grade of C- or P.

Units

3

BIO 135 : Animal Diversity

This course explores the anatomical form and function of representatives from major animal phyla. Students will first learn about evolutionary processes that have generated the tremendous variety of form and function present in the animal kingdom. They will then learn about different lines of evidence that support the theory of common descent and examine how major lineages within the animal kingdom were created from key morphological innovations. Students will then take a tour of the major animal phyla. Students will explore these topics through lectures and hands-on laboratory activities that include live animal observations, dissections, field trips, and case studies. Not open to students who are enrolled in or who have taken and passed BIO 306 with at least a grade of C- or P.

Units

3

BIO 141 : Organisms to Ecosystems

This course offers a fundamental introduction to evolutionary biology, patterns of diversity, and ecology. We will discuss evolutionary processes such as natural selection and genetic drift and explore how those processes can lead to genetic diversity within species as well as the creation of new species. We will also explore the form and function of various phyla from the tree of life and discuss how they interact within communities and ecosystems.  

Units

3

BIO 222 : Marine Biology

This course focuses on the physical, chemical and biological characteristics of marine habitats and the organisms occupying those habitats, and provides a survey of the patterns of distribution, diversity, and abundance of species in marine communities, with an emphasis on the dynamic interactions which shape these patterns. The course also includes analysis of human impacts on marine ecosystems.

Units

3

CHEM 112 : Chemistry for Life

Chemistry asks what is matter made of and how does it interact? A basic understanding of chemistry is a prerequisite for good citizenship in our changing and technological society. This course introduces modern chemical concepts and processes in the context of their impact on health, the environment, and technology. Through inquiry-based learning, you will develop critical thinking skills and data-driven decision making toward the understanding of matter. This course has a moderate laboratory component and is appropriate for students not intending to continue in fields requiring foundational chemistry knowledge. Not open to students who are enrolled in or who have taken and passed CHEM 150 with at least a grade of C- or P.

Units

3

CHEM 115 : The Chemical Elements of Nutrition

Just twenty chemical elements are essential for human nutrition. We will focus on the atomic composition and structure of these elements; consider how some of these elements combine to make larger compounds and macronutrients (molecular structure and bonding); explore how their structures affect their solubility and acidity/basicity and examine the reactions (oxidation and hydrolysis) that micro- and macro-nutrients undergo to producing energy for the human body. Team-based learning and laboratory exercises will emphasize critical thinking and real-world applications of chemistry to nutrition. This course is appropriate for students not intending to continue in fields requiring foundational chemistry. Not open to students who are enrolled in or who have taken and passed CHEM 150 with at least a grade of C- or P.

Units

3

CHEM 150 : Foundations of Chemistry

This course is an introduction to general chemistry with an emphasis on developing problem- solving skills for students planning a professional career in science, engineering, and medical fields. We will explore basic concepts of chemistry along with the mathematics required for quantitative problem solving. The topics include elements and compounds, chemical calculations, atomic structure, bonding, stoichiometry, chemical equations, reactions in aqueous solutions, oxidation-reduction, energy and chemical changes, quantum mechanical atom, chemical equilibrium, and acids & bases & buffers. This course can be taken at the same time or before CHEM 150L. Prevents co- or later enrollment in CHEM 112 and CHEM 115.

Units

3

Prerequisites

Instructor consent.

IBC 200 : Integrated Biology and Chemistry with Lab

This interdisciplinary course will focus on the molecular biology of cancer and the underlying chemistry of cell biology. Students will learn how proteins are encoded and the impact of genomic instability on protein structure and function; alterations of normal metabolism in cancer cells; and basic pathways of cell division and death. Complementary chemistry topics include chemical structure and bonding, biological polymerization, thermodynamics, enzyme kinetics, and redox reactions. Laboratory research will use model systems to understand cancer biology. Prevents co- or later enrollment in BIO 115 and BIO 130.

Units

4

Prerequisites

MATH 101 : Statistics

Every field of inquiry that deals with data uses methods of descriptive statistics to summarize and describe their data.  Every field of inquiry that deals with data seeks to draw inference beyond the available data.  This course introduces widely-used methods of descriptive statistics and methods of statistical inference through the lens of applied mathematics.  This course is not recommended to students who have taken and passed BIO 205.

Units

3

Prerequisites

A solid background in high-school algebra

MATH 111 : Symbolic Logic

This course, which requires no specific mathematical background, introduces valid deductive reasoning in a precise mathematical context. Students will learn formal languages encompassing elementary propositional and predicate logic, and techniques for assessing the validity of arguments expressible in those languages. Logic is foundational to mathematics, philosophy, and computer science, and indispensable in any reasonable debate.

Units

3

MATH 121 : Introduction to Computer Science

Computer science is the study of problem-solving strategies called algorithms.  In this course, students will develop the essential skills of programming, examine select algorithms and data structures, and learn the broad strokes of the theory of computing, which includes formal languages, Turing machines, and the notions of universality, computability, and intractability regarding computational problems. 

Units

3

Prerequisites

A solid background in high-school algebra

MATH 131 : Network Science

This course is an introduction to the field of network science with an emphasis on the mathematical aspects and properties of networks. A network is an accessible yet powerful structure used to represent and study relationships. In practice, networks model different phenomena arising in fields such as biology, economics, sociology, computer science, and physics. In this class, we’ll look rigorously at the mathematical structure of networks (this field is often referred to as graph theory), while also considering real world models, such as spread of disease, web link analysis, and financial networks. This course has no prerequisites.

Units

3

MATH 160 : Liberal Arts Mathematics

This course helps develop quantitative, statistical, and financial literacy, indispensable for an educated, socially engaged person in today’s society. Quantitative literacy involves developing confidence and competence with numbers and measures, and requires understanding of the number system, a repertoire of mathematical techniques, and an inclination and ability to solve quantitative or spatial problems in a range of contexts. Statistical literacy requires understanding of the ways in which data are gathered and represented. Financial literacy requires, besides an understanding of basic personal finance tools like savings and loans, some knowledge of today’s financial and economic realities and a willingness to consider their possible impact on personal finances.

Units

3

MATH 170 : Calculus I

This course, suitable for students with a strong pre-calculus level background, focuses on Differential Calculus. Students will review properties of functions, learn the concept of mathematical limit, and study the properties and interpretations of the derivative, using some of the more common applications. Time permitting, students will be introduced to integrals and the Fundamental Theorem of Calculus. Calculus is widely used in the sciences, economics, and statistics for modeling and computations.

Units

4

Prerequisites

Strong pre-calculus background, including trigonometry, exponentials, and logarithms.

MATH 171 : Calculus II

This course, suitable for students with a good background in Differential Calculus, focuses on Integral Calculus and Infinite Series. Students will review limits and derivatives, and study the properties and interpretations of the integral, using some of the more common applications. Students will also be introduced to infinite series, and their connection to Differential Calculus. Calculus is widely used in the sciences, economics, and statistics for modeling and computations.

Units

4

Prerequisites

A semester of university-level Calculus, or a year of high-school-level Calculus.

MATH 217 : Linear Algebra

Linear algebra is the study of linear equations, matrices, vectors, linear functions, and vector spaces, as well as the theory and applications of linearity. The central ideas in linear algebra are so powerful that their influence seeps into many other branches of mathematics and statistics, the sciences, engineering, and economics. In this course we will develop a mastery of the particular tools of linear algebra, while making a dedicated effort to understand the concepts behind these tools and the relationships between them.

Units

3

MATH 270 : Multivariable Calculus

This course is an introduction to mulitvariable calculus. Topics include vectors in the plane and in space, limits and continuity, partial derivatives, directional derivatives, gradiant, tangent planes, multivariable optimization and Lagrange multipliers, multiple integration, vector fields, line integrals, divergence, curl, and the theorems of Green, Gauss and Stokes.

Units

4

Prerequisites

MATH 171 or equivalent

MATH 271 : Introduction to Differential Equations

Basic ideas of mathematical modeling; first order differential equations, first order systems, and linearity.  Other topics selected from Second order equations, forcing, nonlinear systems, Laplace transforms, numerical methods.

Units

3

MATH 280 : Discrete Mathematics: An Introduction to Advanced Math

Through the lens of discrete mathematics, this course will serve as an introduction to formal proof writing techniques and advanced mathematics. Proof writing is the powerful process of demonstrating through formal argument that a statement or claim is correct in mathematical language. Topics covered in this class include combinatorics (methods of counting things), number theory (study of integers and prime numbers), and graph theory (theoretical study of networks), with an emphasis on creative problem solving and learning to read and write rigorous proofs. While no formal prerequisite is required, a previous math class at SUA or high school equivalent is strongly encouraged.

Units

3

MATH 290 : Topics in Mathematics

This course provides students opportunities to explore topics in mathematics, such as vector calculus and number theory.

Units

4

Prerequisites

Instructor consent required.

MATH 390 : Advanced Topics in Mathematics

This course provides students opportunities to explore advanced topics in mathematics, such as advanced calculus, complex analysis, abstract algebra, non-Euclidean geometry, and topology.

Units

4

Prerequisites

Instructor consent required.

PHYS 150 : Heaven and Earth: A First Synthesis

The physics of motion on earth and in the heavens is traced from ancient Greek times through the Dark and Middle Ages, to the Renaissance and Galileo, and to Newton and the Enlightenment. Humanistic, cultural, and historical perspectives are emphasized as is the scientific method/process. Science is shown to be inextricably linked to other human endeavors such as religion, art, politics, music, literature, philosophy, and commerce. High school knowledge of algebra, geometry, trigonometry, and scientific notation would be helpful. Concurrently, we will explore physics after Newton and up to the contemporary frontier of string/brane theory, covering topics such as relativity and quantum mechanics and utilizing modern physics labs.

Units

3

PHYS 370 : Space, Time, & the Texture of Reality

This heavily mathematical course with no lab requirement examines the changing conceptions of space and time from classical to modern to contemporary physics. Moving from Newtonian reality to Einstein’s relativity to quantum mechanics to current unification theories, we will explore mathematics as a tool to transcend our faulty perceptions and to reveal new phenomenal, though perhaps not narrative, truth.

Units

3

Prerequisites

Previous and solid experience in physics and calculus plus instructor consent.