2023-24 Academic Courses

Computer Science/Programming (CSCI)

CSCI 100 - Introduction to Programming

CSCI 107 - The Joy and Beauty of Computing

CSCI 111 - Programming with Java I

Credit(s): 4

Prerequisite(s):

This is a foundation course in computer science using the high-level, object-oriented concepts in programming using Java. Topics covered are data types, arrays, basic programming constructs, iteration, decision statements, sequences, methods, exception handling, classes, objects, methods, encapsulation, data hiding, inheritance and polymorphism. (Fall and Spring Semesters)

Course Outcomes

Design and implement programs that are up to a few hundred lines long using Java.
Write programs using data types, variables and constants, and use assignment, arithmetic and Boolean expressions.
Use fundamental programming constructs such as sequencing, decisions and iteration.
Use fundamental object oriented principles such as classes, objects, methods, encapsulation, data hiding, inheritance and polymorphism.
Use arrays and structures.
Handle exceptions.

CSCI 113 - Programming with C++ I

Credit(s): 4

Prerequisite(s):

This course covers computer programming in C++. Topics covered are data types, arrays, basic programming constructs, iteration, decision statements, sequences, methods, exception handling, pointers, classes, objects, methods, encapsulation, data hiding, inheritance and polymorphism. (Spring Semester)

Course Outcomes

Design and implement programs that are up to a couple hundred lines long using C++.
Use data types, variables, constants, assignment statements, and arithmetic and boolean expressions in writing programs.
Use fundamental programming constructs such as sequencing, decisions and iteration.
Use fundamental object oriented principles such as classes, objects, methods, encapsulation, data hiding, inheritance and polymorphism.
Use arrays and structures.
Use exception handling.

CSCI 121 - Programming with Java II

CSCI 122 - Game Design Theory

Credit(s): 3

Prerequisite(s):

This course provides students with a foundation of the game development process including important historical elements, content creation strategies, production techniques, and future game design. The course covers game development history, platforms, goals and genres, player elements, story and character development, gameplay, levels, interface, audio, development team roles, game development process, and marketing and maintenance. (Spring Semester)

Course Outcomes

Summarize the history of electronic game development.
Describe the basic mechanics and design structure of traditional and digital games.
Discuss elements related to game strategy, theory and gameplay Explain the basic game development process. Relate story and character development to games.
Discuss the design and use of levels.
Explain the use of the interface for game design.

CSCI 127 - Joy and Beauty of Data

CSCI 132 - Basic Data Structures and Algorithms

Credit(s): 4

Prerequisite(s):

This course is an examination of advanced Java and basic data structures and their application in problem-solving. Data structures include stacks, queues, and lists. It provides an introduction to algorithms and employing the data structures to solve various problems including searching and sorting, and recursion. Students will understand and use Java class libraries and be introduced toBig-O Notation. The laboratory uses Java. (Fall Semester)

Course Outcomes

Understand the concept of an Abstract Data Type (ADT).
Implement the list ADT.
Implement the stack ADT.
Implement the queue ADT.
Implement the priority queue ADT.
Determine the time complexity of simple algorithms.
Implement several standard sorting techniques.
Implement linear and binary search.
Use recursion.
Utilize the Java programming language.

CSCI 203 - Introduction to Hardware Description Language Programming

Credit(s): 4

Prerequisite(s):

This course covers programing of Field Programmable Gate Arrays (FPGAs) using a Hardware Description Language such as VHDL (Very High Speed Integrated Circuit Hardware Description Language) to describe combinational and synchronous sequential logic circuits. Functional verification of designs is accomplished using a logic simulator. Students will get hands-on experience implementing digital systems on FPGAs. (Spring Semester)

Course Outcomes

Describe a digital system using a Hardware Description Language (HDL).
Model basic combinational logic in a HDL, (VHDL, Verilog, or similar).
Model basic sequential logic in a HDL including state machines and counters.
Incorporate pre-existing logic cores into a HDL design.
Understand the HDL design flow including synthesis and place/route and its effect on timing.
Perform logic simulations on a HDL design.
Prototype digital systems on an FPGA.

CSCI 206 - .NET Applications

CSCI 208 - Game Programming I

CSCI 209 - Game Programming II

Credit(s): 4

Prerequisite(s):

This course builds on skills learned in Game Programming I and covers advanced material construction, working with volumes, applying physics to objects, understanding particle systems, creating user interfaces, introduction to sound, introduction to animation, and creating cinematic sequences. The course will use the Unreal Gaming Engine or another production platform. (Spring Semester)

Course Outcomes

Explain advanced material construction.
Create, edit, and manipulate volumes.
Create and apply physics to objects.
Create particle systems which include beam emitters, mesh emitters, trail emitters, and fluid emitters.
Create user interfaces.
Summarize the concepts of advance techniques.
Describe animation in a gaming engine.
Explain cinematic sequences.

CSCI 210 - Web Programming

CSCI 211 - Client Side Programming

CSCI 220 - Virtual/Augmented Reality

CSCI 232 - Data Structures and Algorithms

Credit(s): 4

Prerequisite(s):

This course covers advanced data structures and programming techniques and their application. Topics include trees, balanced trees, graphs, dictionaries, hash tables, and heaps. The efficiency and correctness of algorithms are examined. Projects are coded in JAVA. (Spring Semester)

Course Outcomes

Explain and implement recursive algorithms.
Perform time-complexity analysis of algorithms.
Compare and implement several standard sorting techniques.
Implement basic ADTs, including vectors, lists, sorted lists, stacks, and queues.
Explain the concepts and algorithms for general trees, binary trees, binary search trees, balanced search trees, tables/dictionaries, hash tables, priority queues, heaps, and graphs.
Evaluate and select the appropriate data structure for a given problem.

CSCI 238 - Standards-based Mobile Applications

CSCI 240 - Databases and SQL

CSCI 290 - Undergraduate Research

CSCI 298 - Internship

CSCI 299 - Capstone

Mathematics (M)

M 005 - Co-Requisite Support for M105 Contemporary Mathematics

Credit(s): 1

Prerequisite(s):

Corequisite(s):

This course provides support in achieving the M105 learning outcomes. This support will be provided through extra instruction of basic math concepts at the beginning of the semester as well as a more detailed and in depth look at M105 topics throughout the semester. (Fall and Spring Semesters)

Course Outcomes

Read mathematical material and translate, using correct mathematical notation.
Follow and understand logical arguments and solve applied quantitative problems.
Construct graphical representations of data and calculate measures of center.
Calculate simple, compound, and continuously compounding interest.
Calculate loan payments and mortgages.
Understand, solve and model situations using linear equations, including systems of linear equations.

M 065~ - Prealgebra

Credit(s): 3

Prerequisite(s):

This course is designed for those students who need to improve their prealgebra skills. Topics include signed numbers, basic factoring, basic equation solving, an introduction to polynomials, square roots, basic graphing and basic exponent rules. (All Semesters)

Course Outcomes

Add, subtract, multiply, and divide decimals.
Add, subtract, multiply, and divide fractions.
Add, subtract, multiply, and divide signed numbers.
Use exponents and square roots.
Apply the order of operations.
Use percents, ratios and proportions to solve problems.
Evaluate commonly used formulas.
Translate word statements into algebraic expressions.
Solve single-variable linear equations.
Understand the Cartesian Coordinate System.

M 090~ - Introductory Algebra

Credit(s): 4

Prerequisite(s):

This course provides an introduction to algebra. The course covers the topics of solving and graphing linear equations, solving systems of linear equations, introductory polynomials and factoring, basic function notation, and graphing and solving basic quadratics. Graphical and algebraic approaches to solving equations and application problems will be used throughout the course. (All Semesters)

Course Outcomes

Understand and apply quantitative concepts and reasoning using numerical data.
Perform arithmetic operations with real numbers.
Simplify and solve linear and quadratic expressions.
Set up and solve application problems using ratios and proportions.
Solve systems of equations with two variables.
Graph linear and quadratic equations.
Recognize and determine equations of lines.
Understand multiplication of polynomials and polynomial factorizations.

M 094~ - Quantitative Reasoning

Credit(s): 4

Prerequisite(s):

This course is designed for students as the alternative to the traditional algebraic math sequence and to prepare them for college-level math courses emphasizing quantitative methods. Emphasis will be placed on using data and appropriate mathematical models to make decisions, while developing logical reasoning and critical thinking skills. Topics include proportional reasoning, utilizing various graphical representations, linear equations (including systems of linear equations), and basic probability and statistics. (All Semesters)

Course Outcomes

Understand and apply quantitative concepts and reasoning using numerical data.
Create, solve, and graph linear equations.
Use percents, ratios, and proportions to solve complex problems, including dimensional analysis.
Represent, analyze, and interpret data for single and multiple variables.
Analyze data through measures of central tendency and variation.
Choose appropriate models to represent data, including simple linear regression and exponential & logarithmic equations.
Solve linear system of equations graphically and algebraically.
Apply basic probability concepts to solve problems.

M 095~ - Intermediate Algebra

Credit(s): 4

Prerequisite(s):

This course is the second semester of algebra review and provides preparation for pre-calculus.This course concentrates on quadratic, exponential, rational and logarithmic expressions and equations. This course also covers the graphs of functions, inequalities, and solving linear systems of equations. (All Semesters)

Course Outcomes

Understand and apply quantitative concepts and reasoning using numerical data.
Solve and graph quadratic equations, including the use of radicals and complex numbers.
Simplify rational expressions and solve & graph rational equations.
Solve linear systems of equations graphically, algebraically, and with matrices.
Evaluate and perform operations on functions.
Simplify exponential expressions and solve & graph exponential equations.
Simplify logarithmic expressions and solve & graph logarithmic equations.
Solve and graph inequalities, including linear, absolute value, quadratic, and rational.

M 105M - Contemporary Mathematics

Credit(s): 3

Prerequisite(s):

This course is an introduction to mathematical ideas and their impact on society. The course is designed to give students the skills required to understand and interpret quantitative information that they encounter, and to make numerically based decisions in their lives. Several math topics will be explored, including basic probability and statistics. (Fall and Spring Semesters)

Course Outcomes

Use mathematical techniques to problem solve.
Read mathematical material and write using mathematical notation correctly.
Understand elementary probability concepts and phenomena.
Understand elementary statistical concepts and use elementary statistical tools such as measure of center and spread, graphical representations of data, and statistical estimation of population proportions.
Use tools from one or more areas of contemporary mathematics to solve theoretical or applied problems.
These areas could include, but are not limited to, finance, management science (e.g. graph models for network problems), social choice and decision making (e.g. elections, voting, fair division, Congress apportionment), geometry (e.g. symmetry, tilings, growth rates), or mathematical games.

M 114 - Extended Technical Mathematics

Credit(s): 3

Prerequisite(s):

This course presents mathematical topics as they are applied in a trades program. Topics covered include use of measuring tools, measurement systems and dimensional analysis, basic algebra topics, scientific notation, applied geometry, right and oblique triangle trigonometry, and exponential and logarithmic formulas. This course is intended for specific programs. (Fall and Spring Semesters)

Course Outcomes

Understand and apply quantitative concepts and reasoning using numerical data.
Use appropriate technology to solve mathematical problems.
Communicate with appropriate technical mathematics terminology in an academic and workplace setting.
Determine the validity of results and data.
Solve industrial and technical applications in academic and workplace situations.
Utilize and apply algebraic skills, geometric principles and theorems, and right and oblique trigonometric relationships to solve industrial and technical applications in academic and workplace situations.
Solve appropriate logarithmic and exponential equations.

M 115M - Probability and Linear Mathematics

Credit(s): 3

Prerequisite(s):

The course will cover systems of linear equations and matrix algebra including linear programming. An introduction to probability with emphasis on models and probabilistic reasoning will be covered. Examples of applications will be demonstrated from a wide variety of fields. (All Semesters)

Course Outcomes

Use mathematical techniques to problem solve.
Understand and apply quantitative concepts and reasoning using numerical data.
Master the basic concepts of lines, linear systems, matrices and linear programming (graphical method only).
Understand the basic probability concepts: sets, counting techniques, and probability models.
Understand conditional probability and Bayes' theorem.
Understand basic statistics.
Apply the concepts mentioned above to solve application problems.

M 120 - Mathematics with Health Care Applications

Credit(s): 3

Prerequisite(s):

This course is designed to provide students with a solid mathematical foundation necessary to succeed in a health care profession. This course will review algebra, measurements used in health care fields, dimensional analysis, and graphs and basic statistics. (All Semesters)

Course Outcomes

Apply quantitative concepts and reasoning using numerical data.
Apply knowledge of decimals, fractions, and percents to problems in the health care field.
Solve basic algebraic equations and problems involving ratios and proportions.
Understand the concepts related to measurements used in the health care field, including angle, measures, volume, mass, weight, and temperature.
Use the fundamental units of the metric system (SI), household units, and the apothecary system in making measurements and doing calculations related to health care applications.
Read and properly interpret prescriptions for medications and medical orders regarding dosage, type or form of medication, method of administration, and directions referring to patient care as written by physicians.
Complete calculations involving the administration of medications.
Read and interpret various types of graphs Interpret the meaning of range, standard deviation, and the coefficient of variation in applied situations.

M 121M - College Algebra

Credit(s): 3

Prerequisite(s):

This course is the first semester of a precalculus series. Topics covered include equations, systems of linear equations and methods of solution (including matrices), exponents and radicals, linear and quadratic functions (and their graphs), exponential and logarithmic functions (and their graphs), sequences and series. (All Semesters)

Course Outcomes

Use mathematical techniques to problem solve.
Understand and apply quantitative concepts and reasoning using numerical data.
Use factoring to solve, find zeros of polynomial, rational polynomial, and algebraic equations or functions.
Solve linear, quadratic, and rational exponential and logarithmic equations and be able to use each of these to model and solve applied problems.
Solve absolute value equations and inequalities and express solutions of inequalities in interval notation.
Identify relations vs. functions.
Use function notation.
Identify domain, range, intervals of increasing/decreasing/constant values.
Agebraically and graphically identify even and odd functions.
Find zeros, asymptotes, and domain of rational functions.
Evaluate and sketch graphs of piecewise functions and find their domain and range.
Use algebra to combine functions and form composite functions, evaluate both combined and composite functions and their graphs, and determine their domains.
Identify one-to-one functions, find and verify inverse functions, and sketch their graph.
Graph linear, polynomial, radical, rational, exponential, logarithmic and circle equations.
Manipulate real and complex numbers.
Evaluate and apply sequences and series in various real-world applications.

M 122M - College Trigonometry

Credit(s): 4

Prerequisite(s):

This course is the second semester of a precalculus series. Trigonometric functions are introduced using the circular and angular definitions. Trigonometric graphs, identities, equations and applications are investigated. Polar coordinates, polar graphs and conic sections are also covered. (All Semesters)

Course Outcomes

Use mathematical techniques to problem solve.
Define trigonometric ratios using right triangles and coordinate systems: the unit circle and polar coordinates.
Graph trigonometric functions of a real variable.
Investigate the algebra of trigonometric functions, including composition of functions, inverse functions, and transformations.
Solve trigonometric identities and equations.
Use trigonometric functions of a real variable to model real-world phenomena and solve applied problems.
Investigate conic sections, their properties and their application.
Use vectors to solve applied trigonometric problems.

M 123 - Surveying Mathematics I

Credit(s): 2

Prerequisite(s):

Corequisite(s):

This course includes geometry, particularly perimeter, circumference, area and volume, and trigonometry. Trigonometry topics are both right angle and oblique angle triangles. (Fall Semester)

Course Outcomes

Calculate perimeter, circumference, area, surface area, and volume of basic and complex geometric shapes.
Write trigonometric functions for right and oblique triangles.
Apply right triangle trigonometric relationships to solve application problems.
Solve oblique triangles using the Law of Sines and Law of Cosines.
Use radian angle measures.
Convert between radians, degrees, and revolutions.
Compute arch lengths.
Graph sine and cosine functions and determine their amplitude, period, frequency, and phase shift.

M 124 - Surveying Mathematics II

M 132M - Number and Operations for K-8 Teachers

Credit(s): 3

Prerequisite(s):

This course focuses on the study of numbers and operations for prospective elementary and middle school teachers. Topics include all subsets of the real number system, arithmetic operations and algorithms, numeration systems and problem solving. (Fall Semester)

Course Outcomes

Use mathematical techniques to problem solve.
Explain the meanings of whole numbers, integers, fractions and decimals, as well as representations of these numbers.
Explain the meanings of operations and the connections between operations, concepts, and procedures in doing computations (using both standard and nonstandard algorithms), interpreting story problems, and writing story problems.
Use various representations of numbers and operations, and evaluate their efficiency as well as their applications to problem solving.
Recognize some common mathematical misconceptions and understand the faulty reasoning behind those misconceptions.
Explain their reasoning, both verbally and in writing, while solving problems.

M 133M - Geometry and Geometric Measurement for K-8 Teachers

Credit(s): 3

Prerequisite(s):

This course focuses on the study of geometry and geometric measurement for prospective elementary and middle school teachers. Topics include synthetic, transformational and coordinate geometry, Euclidean constructions, congruence and similarity, 2D and 3D measurement, and problem solving. (Spring Semester)

Course Outcomes

Use mathematical techniques to problem solve.
Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships.
Apply transformations and use symmetry to analyze mathematical situations.
Use visualization, spatial reasoning and geometric modeling to solve problems.
Describe and apply measurable attributes of objects and the units, systems and processes of measurement.
Apply appropriate techniques, tools and formulas to determine measurements for length, area and volume.
Develop the ability to examine and explain underlying mathematical structure by using multiple geometric representations and tools for problem solving.

M 140M - College Math for Healthcare

Credit(s): 3

Prerequisite(s):

This course will apply mathematical reasoning and problem solvingto the healthcare field. Topics covered include operations in the real number system, linear functions, exponential and logarithmic functions, dimensional analysis, concentration calculations, proportional reasoning, introductory statistics (including basic regression analysis), and introductory probability concepts. This course is intended for students pursuing healthcare programs. (Fall and Spring Semesters)

Course Outcomes

Use mathematical techniques to problem solve.
Understand and apply quantitative concepts and reasoning using numerical data.
Solve healthcare application problems utilizing real numbers, percents, and linear equations.
Understand proportional reasoning and solve rational equations including, but not limited to, volume, mass, weight, and temperature.
Use dimensional analysis to convert units of measurement (including household units, metric units, and apothocary units) and solve healthcare application problems.
Understand the meaning of range, standard deviation, and the coefficient of variation and apply that knowledge to statistical applications.
Use and apply basic probability concepts including, but not limited to, probability models, samples spaces, and probability distributions.
Use and apply basic statistical concepts such as measures of center and spread and the normal distribution.
Solve logarithmic functions, including application problems in the healthcare field.
Solve exponential functions, including application problems in the healthcare field.
Understand and interpret exponential and logarithmic graphs.

M 153M - Precalculus Trigonometry

Credit(s): 4

Prerequisite(s):

Course Outcomes

Use mathematical techniques to problem solve.
Define trigonometric ratios using right triangles and the unit circle.
Graph trigonometric functions of a real variable.
Investigate the algebra of trigonometric functions, including composition of functions, inverse functions, and transformations.
Prove trigonometric identities and solve trigonometric equations.
Use trigonometric functions of a real variable to model real-world phenomena and solve applied problems. Investigate conic sections, their properties and their application.
Represent mathematical information symbolically, visually, numerically, and verbally, as needed to solve the problem.

M 162M - Applied Calculus

Credit(s): 4

Prerequisite(s):

This course is an applications oriented approach to differential and integral calculus. Topics covered are limits, derivatives, applications of derivatives, definite integrals, and applications of the definite integral; these topics are covered for functions of one variable, including exponential, logarithmic and trigonometric functions. Applications of the calculus will be demonstrated through a technology component for the course. (Fall Semester)

Course Outcomes

Use mathematical techniques to problem solve.
Apply calculus as a tool for solving applied problems.
Use basic techniques of differentiation and understand the meaning of the derivative.
Use basic techniques of integration and understand the meaning of indefinite and definite integrals.
Apply elementary modeling in terms of differential and/or difference equations.
Utilize mathematical software as a tool for applying calculus.

M 171M - Calculus I

Credit(s): 5

Prerequisite(s):

This is the first of three standard courses in calculus, the others are M 172and M 273. The course includes limits and continuity, derivatives, applications of derivatives and integration. The types of functions studied include algebraic, trigonometric, exponential, and logarithmic. (Fall and Spring Semesters)

Course Outcomes

Use mathematical techniques to problem solve.
Define limits and the limit definition of continuity, compute limits in elementary cases, and determine the limits of transcendental, rational and piecewise defined functions.
Understand infinite limits, limits at infinity, asymptotes, indeterminate forms and how to use 'Hospital's Rule.
Understand the limit definition of the derivative of a function, how it relates to the function itself, and how to use it to compute derivatives.
Utilize derivatives to find tangent lines to curves and velocity for particle motion and understand how to use the derivative to solve challenging related rate and optimization problems.
Understand and apply the power, sum, product and quotient rules for differentiation.
Understand the derivatives of exponential, logarithmic, trigonometric and hyperbolic functions as well as implicit and logarithmic differentiation.
Analyze functions graphically, including using continuity and differentiation to determine local and global extrema, concavity and inflection points.
Understand the Riemann integral, areas under graphs, antiderivatives, the Fundamental Theorem of Calculus, and integration using the method of substitution.

M 172M - Calculus II

Credit(s): 5

Prerequisite(s):

This is the second of three standard courses in calculus. The course includes transcendental functions, applications and techniques of integration, infinite series, parametrized curves, and polar curves. (Spring Semester)

Course Outcomes

Solve problems using mathematical techniques.
Find the area between two curves, surface areas and volumes of revolutions, arc length, moments, centers of mass and hydrostatic pressure, work and the average value of a function using the integral.
Understand integration by direct and trigonometric substitution, parts, and partial fractions and trigonometric integrals.
Understand infinite sequences of real numbers, their monotonicity and boundedness and the Montonic Sequence Theorem.
Understand convergent series of real numbers, geometric series, telescoping series, and the basic test for divergence and use the integral, comparison, limit comparison, and alternating series test for series convergence.
Understand absolute convergence and the ratio and root tests, power series, radius of convergence, and the integration and differentiation of power series.
Understand the Taylor series and Taylor polynomial approximation of functions.
Understand parametrized curves in rectangular and polar coordinates, their derivatives, arch lengths and enclosed areas.

M 189 - Typesetting Technical Documents Using LaTeX

M 221M - Introduction to Linear Algebra

M 225M - Introduction to Discrete Mathematics

Credit(s): 4

Prerequisite(s):

The study of mathematical elements of computer science including propositional logic, predicate logic, sets, functionsand relations, combinatorics, mathematical induction, recursionand algorithms, matrices, graphs, trees, structures, morphisms, Boolean algebra, and computer logic. (Fall Semester of Odd Years)

Course Outcomes

Use mathematical techniques to problem solve.
Use formal proof techniques, including mathematical induction and proof by contradiction.
Understand algorithmic complexity and be able to use it to compare different program designs for a problem.
Solve problems that use logic, sets, and functions.
Solve problems using Boolean algebra.
Solve problems that use permutations and combinations.
Solve problems that use discrete probability.
Solve problems that use basic graph theory.

M 234 - Higher Mathematics for K-8 Teachers

Credit(s): 3

Prerequisite(s):

This course focuses on the study of algebra, number theory, probability and statistics for prospective elementary and middle school teachers. Topics include proportional reasoning, functions, elementary number theory, statistical modeling and inference, and elementary probability theory. (Spring Semester)

Course Outcomes

Use mathematical techniques to problem solve.
Apply algebra in many forms (e.g. as a symbolic language, as generalized arithmetic, as a study of functions, relations and variation) and use algebra to model physical situations and solve problems.
Explain proportionality and its invariant properties.
Apply number theory concepts and theorems including greatest common factors, least common divisors, properties of prime and composite numbers, and test for divisibility.
Represent, analyze and interpret data.
Simulate random events and describe expected features of random variation.
Distinguish between theoretical and experimental probability and determine probability in a given situation.

M 242 - Methods of Proof

Credit(s): 3

Prerequisite(s):

Methods of Proof is an introduction to the axiomatic nature of modern mathematics. Emphasis is placed on the different methods of proof that can be used to prove a theorem. Mathematical topics discussed include symbolic logic, methods of proof, specialized types of theorems and proofs. (Fall Semester, Even Years)

Course Outcomes

Define the various terms used in mathematical logic including: logical equivalence, quantifiers, conjecture, generalization, existence statement, open sentence, contrapositive, converse, mathematical induction, counter example.
Identify and classify mathematical statements as conditional statements, existence statements, or generalizations.
Manipulate various mathematical statements to produce forms more easily examined for meaning and truth using logical tools such as negation and logical equivalences.
Evaluate the truth of a mathematical generalization and construct a counterexample if it is false and prove it if it is true.
Take mathematical statements in casual conversational language and write the statement in its equivalent, mathematically correct logical form so that its meaning and truth can be examined.
Explain the difference between beliefs, intuition, informal justifications (heuristics), and formal mathematical proof.
Construct mathematical proofs using any of the basic different types of proofs, including direct and indirect proofs and proofs by mathematical induction.
Evaluate the validity of mathematical arguments based on their logical correctness.
Read mathematical definitions and theorems they have not seen before well enough to use them properly.
Develop an understanding of what mathematicians do as professionals and how mathematicians determine truth.

M 273M - Multivariable Calculus

Credit(s): 5

Prerequisite(s):

This is the third semester of a three semester sequence in calculus, intended for students majoring in engineering, mathematics, chemistry, or physics. It includes vectors, vector-valued functions, partial derivatives, multiple integrals, and integration in vector fields. (Fall Semester)

Course Outcomes

Use mathematical techniques to problem solve.
Explain three-dimensional coordinate systems, dot and cross products, equations of lines and planes, cylinders and quadratic surfaces.
Explain vector-valued functions and space curves, their derivatives, arc length and curvature, and motion in space.
Explain limits, continuity and partial derivatives of functions of several variables.
Explain tangent planes to surfaces and linear approximations.
Explain the chain rule, directional derivative and gradient vector, extreme values and Lagrange Multipliers.
Explain double and triple integrals over general regions, and their applications.
Explain triple integrals in cylindrical and spherical coordinates.
Explain vector fields, line integrals and the Fundamental Theorem of Line Integrals.
Define Green's Theorem.
Explain curl and divergence of vector fields.
Explain surface integrals, Stokes Theorem, and the Divergence Theorem.

M 274M - Introduction to Differential Equations

Credit(s): 4

Prerequisite(s):

This is a first course in ordinary differential equations. Topics may includelinear and non-linear first order differential equations and systems, existence and uniqueness for initial value problems, series solutions, Laplace Transformations, and linear equations of second and higher order. Applications includeforced oscillation, resonance, electrical circuits, and modeling differential equations. (Spring Semester)

Course Outcomes

Use mathematical techniques to problem solve.
Understand the classifications of ordinary and partial differential equations, linear and nonlinear differential equations.
Determine solutions of differential equations and initial value problems, and the concepts of existence and uniqueness of a solution to an initial value problem.
Use direction fields and the method of isoclines as qualitative techniques for analyzing the asymptotic behavior of solutions of first order differential equations and/or use the phase line to characterize the asymptotic behavior of solutions for autonomous first order differential equations.
Understand methods for solving second order, linear, and constant coefficient differential equations as well as some techniques for solving second order, linear, and variable coefficient differential equations.
Use mathematical modeling applications of first and second order differential equations and understand the techniques of solutions as well as the theory underlying the methods.

M 290 - Undergraduate Research

Statistics (STAT)

STAT 216M - Introduction to Statistics

Credit(s): 4

Prerequisite(s):

Graphical methods, measures of location and dispersion, probability, commonly used distributions, estimation, and tests of hypotheses through analysis of variance are introduced. Five major probability distributions are discussed: the binomial, normal, student's t, chi-square, and the F distribution. (All Semesters)

Course Outcomes

Use mathematical techniques to problem solve.
Convert a given population mean and standard deviation to a z-score and obtain probabilities from the z-table.
Demonstrate knowledge of the use of random variables, means and variances, and sampling distributions.
Construct a test statistic for testing any other set value and a confidence interval given a sample mean, sample size, and sample variance.
Determine which degrees of freedom to use for a t-distributions test statistic when testing a hypothesis about a single mean.
Use the t-table to find bounds on a p-value in a t-test, or to find the multiplier to use when building a confidence interval for a mean.
Interpret a confidence interval and relate it to a test of hypothesis.
Set up null and alternative hypotheses, given alpha and a p-value, decide what to do with the null hypothesis and state a conclusion in terms of the problem.
Understand the five distributions listed in the catalog as they relate to estimation and hypothesis testing.