# Approved MATH/Science Electives

### BIOL 213 - Cell Structure and Function

Credits: 4

For science majors and preprofessionals in life sciences. Introduction to cell chemistry, metabolism, and genetics.

Corequisite(s): CHEM 211

### BIOL 309 OR EVPP 309 OR GEOL 309 - Introduction to Oceanography

Credits: 3

Introduction to chemical, biological, and geological aspects of oceanic environment.

Prerequisite(s): Two of the following lab sciences courses are required for a total of 8 credits: [GEOL 101 or 102], [EVPP 110 or 111 or 210], Chem 211, [BIOL 103 or 213], [PHYS 160 and 161 or 243 and 244].

### CHEM 212 – General Chemistry II

Credits: 4

Basic facts and principles of chemistry, including atomic and molecular structure, gas laws, kinetics, equilibrium, electrochemistry, nuclear chemistry, and properties and uses of the more important elements and their compounds.

Prerequisite(s): CHEM 211. Prerequisite enforced by registration system

### CHEM 300 - Chemistry of Semiconductor Processing

Credits: 3

Chemical aspects of the manufacture of semiconductor devices. Topics include oxidation of silicon, photoresists, plasma etching, removal of metal contaminants by acid etching, and analysis of semiconductor thin films.

Prerequisite(s): Completion of 30 credits or permission of instructor.

### CHEM 333 - Physical Chemistry for the Life Sciences I

Credits: 3

Yearlong survey of principles of physical chemistry emphasizing application in biological sciences. Topics include first and second laws of thermodynamics, free energy and chemical equilibria, kinetics, transport properties, molecular interactions, molecular structure, spectroscopy, statistical thermodynamics, and x-ray diffraction.

Prerequisite(s): MATH 113 Corequisite(s): MATH 114

### CLIM 411 - Atmospheric Dynamics

Credits: 3

Observational bases and fundamentals of fluid dynamic principle for understanding atmospheric motions across multiple spatial and temporal scales; covers basic conservation laws of mass, momentum, and energy; concepts of circulation and vorticity; balanced atmospheric flows, e.g. geostrophic wind and shear, thermal wind; quasi-geostrophic and isentropic potential vorticity analysis for mid-latitude cyclones and fronts.

Prerequisite(s): CLIM 111 and MATH 213, or permission of instructor.

### CLIM OR GEOL 412 - Physical Oceanography

Credits: 3

Reviews global patterns of temperature, salinity, currents and waves in the world's oceans and how these patterns influence marine biota, climate, and human activity. Introduces key concepts which explain physical features of the ocean ranging from microscopic turbulence to global circulation.

Designated a Green Leaf Course.

Prerequisite(s): MATH 113 or MATH 115, and PHYS 160 or PHYS 243, or permission of instructor

### CLIM 429 - Atmospheric Thermodynamics

Credits: 3

Thermodynamics of the atmosphere, properties of dry and moist air, air parcel as a thermodynamic system, atmospheric stability and convection, cloud formation and stability indices.

Prerequisite(s): CLIM 111, MATH 114 and PHYS 260; or permission of Instructor.

### EVPP 210 - Environmental Biology: Molecules and Cells

Credits: 4

This course provides environmental science majors with the cellular foundation required for subsequent courses in the BS curriculum with a focus on how biological systems respond to environmental threats. The course emphasizes the connection between cellular processes and a healthy environment, and how this relationship is jeopardized by a variety of chemical and physical environmental perturbations.

Corequisite(s): CHEM 211.

### MATH 203 – Linear Algebra

Credits: 3

Systems of linear equations, linear independence, linear transformations, inverse of a matrix, determinants, vector spaces, eigenvalues, eigenvectors, and orthogonalization.

Prerequisite(s): C or better in MATH 114 or MATH 116. Prerequisite enforced by registration system.

### MATH 290 - Introduction to Advanced Mathematics

Credits: 3

Introduction to proofs and the language of mathematics. Topics include induction, equivalence relations, cardinality and basic properties of the real numbers. Designated as a writing intensive course for mathematics majors.

Prerequisite(s): C or better in MATH 114 or MATH 116. Prerequisite enforced by registration system.

### MATH 301 - Number Theory

Credits: 3

Prime numbers, factorization, congruences, and Diophantine equations.

Prerequisite(s): 6 math credits.

### MATH 302 - Foundations of Geometry

Credits: 3

Fundamental concepts of incidence. Axioms of Euclidean geometry and the resulting theory, and axioms and development of non-Euclidean and projective geometry.

Prerequisite(s): 6 math credits.

### MATH 312 – Geometry

Credits: 3

Two and three dimensional analytic geometry, complex geometry, projective geometry, conics and quadric surfaces, spherical geometry, quaternions, Euclidean and non-Euclidean geometry.

Prerequisite(s): Grade of ‘C' or higher in MATH 114 or MATH 116. Prerequisite enforced by registration system.

### MATH 313 - Introduction to Applied Analysis

Credits: 3

Vector differential calculus, vector integral calculus, and complex analysis.

Prerequisite(s): Grade of C or better in MATH 213 or 215. Prerequisite enforced by registration system.

### MATH 314 - Introduction to Applied Mathematics

Credits: 3

Fourier analysis, series solutions of differential equations, Bessel and Legendre equations, Sturm-Liouville problems, and partial differential equations.

Prerequisite(s): Grade of C or better in MATH 214 or 216. Prerequisite enforced by registration system.

### MATH 351 – Probability

Credits: 3

Random variables, probability functions, special distributions, and limit theorems.

Prerequisite(s): Grade of C or better in MATH 213 or 215. Prerequisite enforced by registration system.

### MATH 411 - Functions of a Complex Variable

Credits: 3

Analytic functions, contour integration, residues, and applications to such topics as integral transforms, generalized functions, and boundary value problems.

Prerequisite(s): Grade of C or better in MATH 214 or 216. Prerequisite enforced by registration system.

### PHYS 262 AND PHYS 263 - University Physics III/Lab

Credits: 4

Thermodynamics, optics, and modern physics.

Prerequisite(s): PHYS 260 with a grade of C or better. Prerequisite enforced by registration system.

### PHYS 331 - Fundamentals of Renewable Energy

Credits: 3

Introduces the physical principles for a range of renewable energies, including solar, wind, hydropower and geothermal. Demonstrates how the application of methods and principles of physics allow us to understand the basic operation, advantages, limitations and relative merits of various renewable energy sources. Designed for students majoring in the sciences or engineering but useful for students interested in science policy, business, global change and sustainable development.

Designated a Green Leaf Course.

Prerequisite(s): PHYS 262 or 266 or permission of instructor. Prerequisite enforced by registration system.

### STAT 344 - Probability and Statistics for Engineers and Scientists I

Credits: 3

Introduction to probability and statistics with applications to computer science, engineering, operations research, and information technology. Basic concepts of probability, random variables and expectation, Poisson process, bivariate distributions, sums of independent random variables, central limit theorem, sampling distributions, maximum likelihood and unbiased estimators, confidence interval construction, and hypothesis testing.

Prerequisite(s): MATH 114 or MATH 116. Prerequisite enforced by registration system.

### STAT 346 - Probability for Engineers

Credits: 3

Introduction to probability with applications to electrical and computer engineering, operations research, information technology, and economics. Basic concepts of probability, conditional probability, random variables and moments, specific probability distributions, multivariate distributions, moment-generating functions, limit theorems, and sampling distributions.

Prerequisite(s): MATH 213 or MATH 215. Prerequisite enforced by registration system.