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Foundations of Mathematics
MTH 4004 / 3 q.h.
June 25 - August 18
Boston W 5:45 PM-8:45 PM
This course is designed for college students who have no previous experience in algebra and for those who need a review of basic algebraic concepts. Students will work with mathematical symbols and operations to develop an understanding of how mathematics can model and solve problems. Topics include variables, exponents, the real number system, fractions, basic operations, order of operations, simplifying algebraic expressions, solving linear equations, solving equations containing fractions, solving equations containing decimals, ratios, proportions, and graphing linear equations. This course provides the skills necessary for students to successfully complete MTH 4110 College Algebra 1. Credit for this course cannot be applied to School of Engineering Technology degree programs or to School of Professional and Continuing Studies degree programs.
College Algebra 1
MTH 4110 / 3 q.h.
June 25 - July 21
Boston (Hybrid) Th 5:45 PM-8:45 PM
This course develops skills in problem solving, graphing, working with functions, and critical thinking. Topics include solving and graphing linear inequalities, graphing linear functions, solving linear systems of equations in two variables, exponents, and factoring polynomials. A placement test is available as a self-assessment exercise for students who are uncertain they meet the prerequisite for this course. This test can be found by logging in to Blackboard using a myNEU account, searching for the College Algebra 1 Placement Exam on the Courses tab, and clicking the Enroll button.
(formerly Contemporary Algebra 1)
Prerequisite: One year of high school algebra or equivalent.
College Algebra 2
MTH 4111 / 3 q.h.
June 25 - August 18
Boston Tu 5:45 PM-8:45 PM
July 23 - August 18
Boston (Hybrid) Th 5:45 PM-8:45 PM
This course continues the emphasis on functions and graphing introduced in College Algebra 1. Topics include solving and graphing quadratic equations, rational expressions, compound inequalities, absolute value equations, rational functions, radical functions, rational exponents, and complex numbers.
(formerly Contemporary Algebra 2)
Prerequisite: MTH 4110 College Algebra 1 or equivalent.
Fundamentals of Calculus 1
MTH 4130 / 3 q.h.
June 25 - August 18
Boston M 5:45 PM-8:45 PM
Introductory course intended for students in liberal arts, business administration, and other nonengineering curricula. Includes fundamentals of differential calculus, rules of differentiation, rates of change, graph sketching, and optimization. A graphing calculator is required for this course; the TI-83, TI-86, or TI-89 is recommended. This course cannot be applied to the Lowell Institute School degree programs.
Prerequisite: MTH 4112 Finite Mathematics or equivalent.
Fundamentals of Calculus 2
MTH 4131 / 3 q.h.
June 25 - August 18
Boston Tu 5:45 PM-8:45 PM
Applications of differential calculus, including problems in optimization, velocity and acceleration, compound interest, population growth, and the fitting of equations to data. Introduces integral calculus, areas, average values of functions, marginal cost and profit, and depreciation. A graphing calculator is required for this course; the TI-83, TI-86, or TI-89 is recommended. This course cannot be applied to the Lowell Institute School degree programs.
Prerequisite: MTH 4130 Fundamentals of Calculus 1 or equivalent.
College Algebra
MTH 4210 / 5 q.h.
June 25 - August 18
Boston TuTh 6:00 PM-8:30 PM
Reviews topics of beginning algebra including the solving and graphing of equations and inequalities, exponents, roots, and complex numbers. Continues with a study of linear, quadratic, polynomial, rational functions, and partial fractions. Introduces basic concepts of algebra, probability and statistics, vector algebra, matrices and determinants, and conic sections. Emphasizes applications of these topics. Requires students to purchase a graphing calculator; the make and model will be specified at the first class meeting.
Prerequisite: High school algebra.
Pre-Calculus
MTH 4221 / 5 q.h.
June 25 - August 18
Boston MW 6:00 PM-8:30 PM
Studies exponential and logarithmic functions with applications to growth and decay. Continues with a detailed study of trigonometric and circular functions, including functions of angles in degrees and radians, graphing, identities, equations, right triangles, law of sines, law of cosines, areas, and inverse trigonometric functions. Introduces the polar coordinate system including polar equations and graphs, the trigonometric form of complex numbers, and DeMoivre's Theorem. Extends the study of vector algebra including operations, graphing, angle between vectors, and applications. Further investigates conic sections. Requires students to purchase a graphing calculator; the make and model will be specified at the first class meeting.
Prerequisite: College algebra.
Calculus 2
MTH 4243 / 5 q.h.
June 25 - August 18
Boston MW 6:00 PM-8:30 PM
Expands concepts of integration to include differentiation and integration of natural logarithmic and exponential functions applied to growth and decay, and integration of inverse trigonometric functions. Studies techniques of integration including parts, partial fractions, substitution, tables, L'Hôpital's rule, and improper integrals. Evaluates areas and volumes. Introduces multivariable calculus with emphasis on functions, graphs, partial derivatives, and double integrals applied to areas and volumes. Includes Ratio Test and Taylor and Maclaurin polynomials. Concludes with solving differential equations including first-order variables separable, first-order linear, and second-order linear homogeneous equations with applications. Requires students to purchase a graphing calculator; the make and model will be specified at the first class meeting.
Prerequisite: MTH 4241 Calculus 1.
Differential Equations
MTH 4350 / 5 q.h.
June 25 - August 18
Boston TuTh 6:00 PM-8:30 PM
Examines linear differential equations with constant coefficients, homogenous and nonhomogeneous. Explores the variation of parameters and undetermined coefficients and simultaneous differential equations. Stresses the Laplace transform and series solution of differential equations, and the Fourier series. Studies the orthogonal functions and numerical solutions of differential equations. Includes applications of all topics.
Prerequisite: MTH 4243 Calculus 2. |
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