**MTH U010 Algebra Review 4 SH**

De signed for arts and sciences, criminal justice, and other

majors who need to build their algebraic skills in order to

succeed in the next math or math-related courses required by

their major. Most students are directed to this course as a result

of placement tests. Concepts include solving first- and seconddegree

equations, understanding slopes and graphs of lines,

solving simultaneous equations in several variables, solving

rational equations, and graphing inequalities. Requires the

analysis and solution of word problems. (Does not count

toward graduation credit.)

**MTH U100 Mathematics at Northeastern 1 SH**

Designed for freshman math majors to introduce them to one

another, their major, their college, and the University. Students

are introduced to our advising system, register for next

semester’s courses, and learn more about co-op. Also helps

students develop the academic and interpersonal skills

necessary to succeed as a university student. Prereq. Math

major.

**MTH U110 College Algebra 4 SH**

Covers laws of exponents, roots , graphing of equations and

inequalities, special curves (that is, conic sections), functions

and operations on functions, complex numbers, matrices, and

vectors. If time permits, also explores elementary discrete

probability and least squares curve fitting. Prereq. Primarily for

BSET majors.

**MTH U115 Mathematical Thinking 4 SH**

Focuses on the development of mathematical thinking and its

use in a variety of contexts to translate real-world problems into

mathematical form and, through analysis, to obtain new

information and reach conclusions about the original

problems. Mathematical topics include counting principles and

topics in probability theory such as Markov chains, linear

regression, and the binomial distribution. Coreq. MTH U116.

**MTH U116 Recitation for MTH U115 0 SH**

Provides small- group discussion format to cover material in

MTH U115. Coreq. MTH U115.

**MTH U117 Interactive Mathematics 4 SH**

Develops problem-solving skills while simultaneously teaching

mathematics concepts. Each unit centers on a particular

applied problem, which serves to introduce the relevant

mathematical topics. These may include but are not limited to

polling theory, rate of change, the concepts behind derivatives,

probability, binomial distributions, and statistics. The course is

not taught in the traditional lecture format and is particularly

suited to students who work well in collaborative groups and

who enjoy writing about the concepts they are learning.

Assessment is based on portfolios, written projects, solutions to

“problems of the week,” and exams.

**MTH U121 Precalculus 4 SH **

Focuses on linear, polynomial, exponential, logarithmic, and

trigonometric functions. Emphasis is placed on understanding,

manipulating, and graphing these basic functions, their

inverses and compositions, and using them to model real-world

situations (that is, exponential growth and decay, periodic

phenomena). Equations involving these functions are solved

using appropriate techniques. Special consideration is given to

choosing reasonable functions to fit numerical data. Prereq.

Basic understanding of algebraic manipulation assumed, including

exponents and polynomials.

**MTH U130 College Math for Business and Economics 4 SH**

Introduces students to some of the important mathematical

concepts and tools (such as modeling revenue, cost and profit

with functions) used to solve problems in business and

economics. Assumes familiarity with the basic properties of

linear, polynomial, exponential, and logarithmic functions.

Topics include the method of least squares, regression curves,

solving equations involving functions, compound interest,

amortization, and other consumer finance models. (Graphing

calculator required, see instructor for make and model.) Prereq.

Basic knowledge of algebra, log, and exponential functions.

**MTH U131 Calculus for Business and Economics 4 SH**

Provides an overview of differential calculus including

derivatives of power, exponential, logarithmic, logistic

functions, and functions built from these. Derivatives are used

to model rates of change, to estimate change, to optimize

functions, and in marginal analysis. The integral calculus is

applied to accumulation functions and future value . Emphasis

is on realistic business and economics problems, the

development of mathematical models from raw business data,

and the translation of mathematical results into verbal

expression appropriate for the business setting. Also features a

semester-long marketing project in which students gather raw

data, model it, and use calculus to make business decisions;

each student is responsible for a ten-minute presentation.

(Graphing calculator required, see instructor for make and

model.) Prereq. MTH U130.

**MTH U141 Calculus 1 4 SH**

Serves as both the first half of a two-semester calculus

sequence and as a self-contained one- semester course in

differential and integral calculus. Basic concepts and

techniques of differentiation and integration are introduced

and applied to polynomial, exponential, log, and trigonometric

functions. The derivative as rate of change and integral as

accumulator are emphasized. Applications include

optimization, growth and decay, area, volume, and motion.

Prereq. MTH U121 or equivalent.

**MTH U142 Calculus 2 4 SH**

Continues MTH U141. Introduces additional techniques of

integration and numerical approximations of integrals and the

use of integral tables; further applications of integrals. Also

introduces differential equations and slope fields, and

elementary solutions. Introduces functions of several variables,

partial derivatives, and multiple integrals. Prereq. MTH U141.

**MTH U151 Calculus and Differential Equations for
Biology 1 4 SH**

Begins with the fundamentals of differential calculus and

proceeds to the specific type of differential equation problems

encountered in biological research. Presents methods for the

solutions of these equations and how the exact solutions are

obtained from actual laboratory data. Topics include differential

calculus: basics, the derivative, the rules of differentiation ,

curve plotting , exponentials and logarithms, and trigonometric

functions; using technology to understand derivatives;

biological kinetics: zero- and first-order processes, processes

tending toward equilibrium, bi- and tri-exponential processes,

and biological half-life; differential equations: particular and

general solutions to homogeneous and nonhomogeneous

linear equations with constant coefficients , systems of two

linear differential equations; compartmental problems:

nonzero initial concentration, two-compartment series dilution,

diffusion between compartments, population dynamics; and

introduction to integration. Prereq. MTH U121 or equivalent.

**MTH U152 Calculus and Differential Equations for
Biology 2 4 SH**

Continues MTH U151. Begins with the integral calculus and

proceeds quickly to more advanced topics in differential

equations. Introduces linear algebra and uses matrix methods

to analyze functions of several variables and to solve larger

systems of differential equations. Advanced topics in reaction

kinetics are covered. The integral and differential calculus of

functions of several variables is followed by the study of

numerical methods in integration and solutions of differential

equations. Provides a short introduction to probability. Covers

Taylor polynomials and infinite series. Special topics include

reaction kinetics: Michaelis-Menten processes, tracer

experiments, and inflow and outflow through membranes.

Prereq. MTH U151.

**MTH U165 Introduction to Mathematical Reasoning 4 SH**

Covers the basics of mathematical reasoning and problem

solving to prepare incoming math majors for more challenging

mathematical courses at Northeastern. Focuses on learning to

write logically sound mathematical arguments and to analyze

such arguments appearing in mathematical books and courses.

Includes fundamental mathematical concepts such as sets,

relations, and functions.

**MTH U170 Math Discovery and Computers 4 SH**

Provides students with marketable scientific computing skills,

and uses those skills to explore open-ended mathematical

problems. Through guided processes of computing, reflecting,

discussing, and writing, offers students the opportunity to

expand their capacities to think productively about problems

that are new to them. Such capacities are useful in all future

courses and forms of employment.

**MTH U180 Statistical Thinking 4 SH**

Introduces statistical thinking to students without using any

sophisticated mathematics. Uses extensive class discussion and

homework problems to cover statistical reasoning and to

evaluate critically the usage of statistics by others. Readings

from a wide variety of sources are assigned. Topics include

descriptive statistics, sampling theory, and fundamentals of

statistical inference (confidence intervals and hypothesis

testing).

**MTH U201 History of Mathematics 4 SH**

Traces the development of mathematics from its earliest

beginning to the present. Emphasis is on the contributions of

various cultures including the Babylonians, Egyptians, Mayans,

Greeks, Indians, and Arabs. Computations and constructions

are worked out using the techniques and notations of these

peoples. The role of mathematics in the development of science

is traced throughout, including the contributions of Descartes,

Kepler, Fermat, and Newton. More modern developments are

discussed as time permits. Prereq. Interest in mathematics,

facility in arithmetic and elementary algebra.

**MTH U203 Foundations of Mathematics 4 SH**

Investigates the modern revolutions in mathematics initiated

by Cantor, GĂ¶del, Turing, and Robinson in the fields of set

theory, provability, computability, and analysis respectively, as

well as provides background on the controversy over the

philosophy and underlying logic of mathematics. Prereq. Interest

in mathematics, logic, and philosophy.

**MTH U215 Game Theory 4 SH**

Uses the unifying theme of game theory to explore

mathematical techniques for gaining an understanding of realworld

problems. Includes matrix algebra, linear programming,

probability, trees, von Neumann’s minimax theorem, and

Nash’s theorem on equilibrium points. Considers zero-sum

and non-zero-sum games, multiperson games, and the

prisoner’s dilemma. Explores the applications of game theory,

including conflict analysis, and various issues in psychology,

sociology, political science, economics, and business. Prereq.

Math SAT of at least 600 or permission of instructor.

**MTH U220 Mathematics of Art 4 SH**

Presents mathematical connections and foundations for art.

Topics vary and may include aspects of linear perspective and

vanishing points, symmetry and patterns, tilings and polygons,

Platonic solids and polyhedra, golden ratio, non-Euclidean

geometry, hyperbolic geometry, fractals, and other topics.

Includes connections and examples in different cultures.

**MTH U230 Discrete Mathematics 4 SH**

Provides the discrete portion of the mathematical background

needed by students in electrical and computer engineering.

Topics include Boolean algebra and set theory, logic, and logic

gates; growth of functions, and algorithms and their

complexity; proofs and mathematical induction; and graphs,

trees, and their algorithms. As time permits, additional topics

may include methods of enumeration and finite-state

machines.

**MTH U240 Intensive Calculus for Engineers 6 SH**

Contains the material from the first semester of MTH U241,

preceded by material emphasizing the strengthening of

precalculus skills. Topics include properties of exponential,

logarithmic, and trigonometric functions; differential calculus;

and introductory integral calculus.

**MTH U241 Calculus 1 for Science and Engineering 4 SH**

Covers definition, calculation, and major uses of the derivative,

as well as an introduction to integration. Topics include limits;

the derivative as a limit; rules for differentiation; and formulas

for the derivatives of algebraic, trigonometric, and

exponential/logarithmic functions. Also discusses applications

of derivatives to motion, density, optimization, linear

approximations, and related rates. Topics on integration

include the definition of the integral as a limit of sums,

antidifferentiation, the fundamental theorem of calculus, and

integration by substitution .

**MTH U242 Calculus 2 for Science and Engineering 4 SH**

Covers further techniques and applications of integration,

infinite series, and introduction to vectors. Topics include

integration by parts; numerical integration; improper integrals;

separable differential equations; and areas, volumes, and work

as integrals. Also discusses convergence of sequences and

series of numbers, power series representations and

approximations, 3D coordinates, parameterizations, vectors and

dot products, tangent and normal vectors, velocity, and

acceleration in space. Prereq. MTH U241.

**MTH U243 Calculus 2 for Engineering Technology 4 SH**

Builds upon the differential and integral calculus topics in

MTH U241 to develop additional tools such as partial

derivatives and multiple integrals needed by students of

engineering technology. This course is not equivalent to

MTH U242. Prereq. MTH U241.