MATHEMATICS 640

The Kreeger Learning Resource Center (932-1443) located in the Brower Commons Annex on the College Avenue Campus, and the Math and Science Learning Center (445-4183) located in the Allison Road Classroom Building, 3rd floor, Room 332, Busch Campus offer free tutoring, video-taped problem solutions, and a pleasant place to study. The hours are Monday through Thursday, 12:00 noon to 8:00 p.m.

Please Note the following information.

Final Examinations. The final examinations for all mathematics courses will be given at the last class meeting according to the following schedule.

Class Meeting Time	Final Examination
8:15-10:00 a.m.	8:15- 11:15 a.m.
10:15-12:00 a.m.	10:15-1:15 p.m.
12:15-2:00 p.m.	12:15-3:15 p.m.
6:15-8:45 p.m.	6:15-9:15 p.m.

ELEMENTARY ALGEBRA. (CR.E3.)
01:640:025: SEC. B6:80114
N.B. EVE. 5/31-7/7
MWF 6:15-9:00
STAFF
CAMPBELL A4

01:640:025: SEC. H6:81343
N.B. EVE. 7 /10-8/16
MWTH 6:15-8:45
STAFF
HARDENBERGH B4

PREREQUISITE: Demonstrated proficiency in computational skills.

Please Note: Students are expected to have their textbook for the first class meeting.

Operations with polynomials, rational, and square root expressions, exponents, solving linear equations, basic applications, and graphing.

INTERMEDIATE ALGEBRA. (CR.E3.)
01:640:026: SEC. H6:80117
N.B. EVE. 7 /10-8/16
MWF 6:15-8:45
STAFF
HARDENBERGH A4

01:640:026: SEC. H7:80118
N.B. EVE. 7 /10-8/16
MWF 6:15-8:45
STAFF
HARDENBERGH B3

01:640:026: SEC. H8:80883
N.B. EVE. 7 /10-8/16
MWTH 6:15-8:45
STAFF
HICKMAN 127

PREREQUISITE: Elementary Algebra, 640:025, or equivalent.

Absolute value, equations, inequalities, radical expressions, rational exponents, quadratic equations, and topics in analytic geometry.

ELEMENTS OF ALGEBRA. (CR.E3.)
01:640:027: SEC. H6:80963
N.B. EVE. 7 /10-8/16
MWTH 6:15-8:45
STAFF
MURRAY 208

PREREQUISITE: Demonstrated proficiency in computational skills.

Please Note: This course satisfies the prerequisite for Topics in Mathematics for the Liberal Arts, 640:103 but not for Precalculus, 640:111 or Precalculus College Mathematics, 640:115 and thus is not appropriate for students preparing for calculus.

Review of fundamentals of elementary and intermediate algebra. Exponents, polynomials, solutions of linear and quadratic equations. Focus on mathematical translation of verbal statements.

TOPICS IN MATHEMATICS FOR THE LIBERAL ARTS. (CR.3.)
01:640:103: SEC. E1:80745
N.B. DAY 6/26-8/3
MTWTH 8:15-10:00
STAFF
CAMPBELL A3

01:640:103: SEC. E6:82479
N.B. EVE. 6/26-8/3
MWTH 6:15-8:45
STAFF
ART HISTORY BLDG. 100
DOUGLASS CAMPUS

PREREQUISITE: Intermediate Algebra, 640:026.

Please Note: This course may not be used as an elective for the math major or minor.

Topics emphasizing fundamental ideas of mathematics, selected from set theory, mathematical logic, game theory, number theory, algebra, and geometry.

PRECALCULUS, PART II. (CR.2.)
01:640:112: SEC. C1:80122
N.B. DAY 5/30-7/20
MTWTH 10:15-12:00
STAFF
RUTH ADAMS BLDG. 208

PREREQUISITES: Precalculus, Part I, 640:111, and concurrent registration in Precalculus Part II Workshop, 640:012.

Please Note: Students registering for this course will also be registered for Precalculus Part II Workshop, 640:012 for a total of 4 credits. Precalculus Part I, 640:111, must have been passed at Rutgers.

Exponential, logarithmic, and trigonometric functions.

PRECALCULUS PART II WORKSHOP. (CR.E2.)
01:640:012: SEC. C1:80882
N.B. DAY 5/30-7/20
MTWTH 10:15-12:00
STAFF
RUTH ADAMS BLDG. 208

Please Note: Students will not be registered for this precalculus workshop unless they register for Precalculus, 640:112.

PRECALCULUS COLLEGE MATHEMATICS. (CR.4.)
01:640:115: SEC. C1:80123
N.B. DAY 5/30-7/20
MTWTH 10:15-12:00
STAFF
RUTH ADAMS BLDG. 207

01:640:115: SEC. C6:80124
N.B. EVE. 5/31-7/21
MWF 6:15-8:45
STAFF
RUTH ADAMS BLDG. 110B

01:640:115: SEC. F1:80125
N.B. DAY 6/26-8/16
MTWTH 8:15-10:00
STAFF
ALLISON ROAD BLDG. 206

01:640:115: SEC. F6:80126
N.B. EVE. 6/26-8/16
MWF 6:15-8:45
STAFF
SCI/ENG RES. CTR. 205

PREREQUISITE: Intermediate Algebra, 640:026, or equivalent; proficiency in intermediate algebra and geometry.

Please Note: Credit will not be given for both 640:115 and 640:112.

Algebraic expressions, algebraic equations, functions, graphing. Exponential, logarithmic, and trigonometric functions.

CALCULUS I. (CR.4.)
01:640:135: SEC. B6:80127
N.B. EVE. 5/30-7/6
MTWTH 6:15-8:45
STAFF
RUTH ADAMS BLDG. 207

Please Note: Section B6 has an accelerated schedule.

01:640:135: SEC. B7:81598
N.B. EVE. 5/30-7/6
MTWTH 6:15-8:45
STAFF
RUTH ADAMS BLDG. 208

Please Note: Section B7 has an accelerated schedule.

01:640:135: SEC. C1:80128
N.B. DAY 5/30-7/20
MTWTH 8:15-10:00
STAFF
ALLISON ROAD BLDG. 207

01:640:135: SEC. C2:80129
N.B. DAY 5/30-7/20
MTWTH 8:15-10:00
STAFF
SCI/ENG RES. CTR. 211

01:640:135: SEC. C6:80130
N.B. EVE. 5/31-7/21
MWF 6:15-8:45
STAFF
ALLISON ROAD BLDG. 204

01:640:135: SEC. C7:80131
N.B. EVE. 5/31-7/21
MWF 6:15-8:45
STAFF
HILL CENTER 425

01:640:135: SEC. F1:80132
N.B. DAY 6/26-8/16
MTWTH 8:15-10:00
STAFF
SCI./ENG. RES. CTR. 212

01:640:135: SEC. F2:80133
N.B. DAY 6/26-8/16
MTWTH 10:15-12:00
STAFF
HILL CENTER 124

01:640:135: SEC. H6:80884
N.B. EVE. 7 /10-8/16
MTWTH 6:15-8:45
STAFF
CAMPBELL A5

Please Note: Section H6 has an accelerated schedule.

01:640:135: SEC. H7:81063
N.B. EVE. 7 /10-8/16
MTWTH 6:15-8:45
STAFF
RUTH ADAMS BLDG. 207

Please Note: Section H7 has an accelerated schedule.
PREREQUISITE: Precalculus College Mathematics, 640:115, or equivalent, or four years of college preparatory mathematics.

Analytic geometry, differential calculus, applications, and introduction to integral calculus.

CALCULUS II. (CR.4.)
01:640:136: SEC. C1:80134
N.B. DAY 5/30-7/20
MTWTH 10:15-12:00
STAFF
FRELINGHUYSEN B5

01:640:136: SEC. F1:80135
N.B. DAY 6/26-8/16
MTWTH 10:15-12:00
STAFF
ART HISTORY BLDG. 100
DOUGLASS CAMPUS

01:640:136: SEC. F6:80136
N.B. EVE. 6/26-8/16
MWF 6:15-8:45
STAFF
ALLISON ROAD BLDG. 205

01:640:136: SEC. H6:80137
N.B. EVE. 7 /10-8/16
MTWTH 6:15-8:45
STAFF
HICKMAN 202

Please Note: Section H6 has an accelerated schedule.

PREREQUISITE: Calculus I, 640:135, or equivalent.

Continuation of Mathematics, 640:135. Differentiation and integration of exponential, logarithmic and trigonometric functions, techniques of integration, and series.

CALCULUS FOR MATHEMATICAL AND PHYSICAL SCIENCES I. (CR.4.)
01:640:151: SEC. F1:80138
N.B. DAY 6/26-8/16
MTWTH 10:15-12:15
STAFF
HILL CENTER 425

01:640:151: SEC. F6:80139
N.B. EVE. 6/26-8/16
MWF 6:15-9:05
STAFF
SCI/ENG RES. CTR. 207

PREREQUISITE: Precalculus College Mathematics, 640:115, or four years of college preparatory mathematics.

Analytic geometry, differential calculus, applications, and introduction to integral calculus.

CALCULUS FOR MATHEMATICAL AND PHYSICAL SCIENCES II. (CR.4.)
01:640:152: SEC. C1:80140
N.B. DAY 5/30-7/20
MTWTH 8:00-10:00
STAFF
HILL CENTER 124

01:640:152: SEC. C6:80141
N.B. EVE. 5/31-7/21
MWF 6:15-9:05
STAFF
ALLISON ROAD BLDG. 105

01:640:152: SEC. F1:80142
N.B. DAY 6/26-8/16
MTWTH 10:15-12:15
STAFF
RUTH ADAMS BLDG. 204

01:640:152: SEC. F6:80143
N.B. EVE. 6/26-8/16
MWF 6:15-9:05
STAFF
HILL CENTER 423

PREREQUISITE: Calculus for Mathematical and Physical Sciences I, 640:151, or equivalent.

A continuation of Mathematics, 640:151. Differentiation and integration of trigonometric, exponential, and logarithmic functions. Techniques of integration, series.

DIFFERENTIAL EQUATIONS FOR ENGINEERING AND PHYSICS. (CR.4.)
01:640:244: SEC. C1:80750
N.B. DAY 5/30-7/20
MTWTH 8:15-10:00
STAFF
FRELINGHUYSEN A4

01:640:244: SEC. C6:80144
N.B. EVE. 5/31-7/21
MWF 6:15-8:45
STAFF
ALLISON ROAD BLDG. 207

01:640:244: SEC. F1:82075
N.B. DAY 6/26-8/16
MTWTH 10:15-12:00
STAFF
HICKMAN 132

01:640:244: SEC. F6:80145
N.B. EVE. 6/26-8/16
MWF 6:15-8:45
STAFF
HICKMAN 209

PREREQUISITE: Multivariable Calculus for Engineering, 640:243, or equivalent.

First- and second-order ordinary differential equations, introduction to linear algebra and to systems of ordinary differential equations.

INTRODUCTORY LINEAR ALGEBRA. (CR.3.)
01:640:250: SEC. B1:82483
N.B. DAY 5/30-7/6
MTWTH 10:15-12:00
STAFF
HICKMAN 202

01:640:250: SEC. B6:80146
N.B. EVE. 5/31-7/7
MWF 6:15-9:00
STAFF
SCI/ENG RES. CTR. 208

01:640:250: SEC. B7:80147
N.B. EVE. 5/31-7/7
MWF 6:15-9:00
STAFF
HICKMAN 119

01:640:250: SEC. E1:80148
N.B. DAY 6/26-8/3
MTWTH 10:15-12:00
STAFF
FRELINGHUYSEN B6

01:640:250: SEC. E6:80149
N.B. EVE. 6/26-8/4
MWF 6:15-8:45
STAFF
HICKMAN 118

PREREQUISITE: Calculus II, 640:136, or equivalent.

Systems of linear equations, Gaussian elimination, matrices and determinants, vectors in two- and three-dimension Euclidean space, vector spaces, introduction to eigenvalues and eigenvectors. Possible additional topics: systems of linear inequalities and systems of differential equations.

MULTIVARIABLE CALCULUS. (CR.4.)
01:640:251: SEC. F1:81356
N.B. DAY 6/26-8/16
MTWTH 10:15-12:15
STAFF
HILL CENTER 525

01:640:251: SEC. F2:81520
N.B. DAY 6/26-8/16
MTWTH 10:15-12:15
STAFF
HARDENBERGH A7

01:640:251: SEC. F6:81357
N.B. EVE. 6/26-8/16
MWF 6:15-9:05
STAFF
ALLISON ROAD BLDG. 108

01:640:251: SEC. F7:81521
N.B. EVE. 6/26-8/16
MWF 6:15-9:05
STAFF
HICKMAN 117

PREREQUISITE: Calculus for Mathematical and Physical Sciences II, 640:152, or equivalent.

Analytic geometry of three dimensions, partial derivatives, optimization techniques, multiple integrals, vectors in Euclidean space, and vector analysis.

ELEMENTARY DIFFERENTIAL EQUATIONS. (CR.3.)
01:640:252: SEC. B6:80787
N.B. EVE. 5/31-7/7
MWF 6:15-9:00
STAFF
LUCY STONE HALL B110

PREREQUISITES: Introductory Linear Algebra, 640:250, and either Multivariable Calculus for Engineers, 640:243, or Multivariable Calculus, 640:251, or Honors Calculus, 640:291.

First and second-order ordinary differential equations, systems of ordinary differential equations.

INTRODUCTION TO MATHEMATICAL REASONING. (CR.3.)
01:640:300: SEC. H6:80751
N.B. EVE. 7 /10-8/16
MTTH 6:15-8:45
STAFF
SCI/ENG RES. CTR. 208

PREREQUISITE: Calculus II, 640:136, or equivalent.

Fundamental abstract concepts common to all branches of mathematics. Special emphasis placed on ability to understand and construct rigorous proofs.

LINEAR OPTIMIZATION. (CR.3.)
01:640:354: SEC. E1:80150
N.B. DAY 6/26-8/3
MTWTH 10:15-12:00
STAFF
RUTH ADAMS BLDG. 209B

PREREQUISITE: Linear Algebra, 640:250.

Linear programming problems, the simplex method, duality theory, sensitivity analysis, introduction to integer programming, the transportation problem, network flows, and other applications.

THEORY OF NUMBERS. (CR.3.)
01:640:356: SEC. B6:82484
N.B. EVE.5/31-7/6
MWTH 6:15-8:45
STAFF
BECK 013

PREREQUISITE: Multivariable Calculus, 640:251, or equivalent.

Properties of the natural numbers, congruences, diophantine equations, and elementary arithmetical functions.

NUMERICAL ANALYSIS. (CR.3.)
01:640:373: SEC. H6:80885
N.B. EVE. 7 /10-8/16
MTTH 6:15-8:45
STAFF
HICKMAN 204

PREREQUISITES: One course in differential equations and familiarity with a computer language.

Please Note: Graduation credit cannot be given for this course and Numerical Analysis and Computing, 198:323.

An analysis of numerical methods for the solution of linear and nonlinear equations, approximation of functions, numerical differentiation and integration, and the numerical solution of initial and boundary value problems for ordinary differential equations.

ADVANCED CALCULUS FOR ENGINEERING. (CR.3.)
01:640:421: SEC. C6:82203
N.B. EVE. 5/30-7/20
TTH 6:30-9:00
DORAN
HILL CENTER 124

01:640:421: SEC. C7:82907
N.B. EVE. 5/31-7/19
MW 6:30-9:00
DORAN
HILL CENTER 124

PREREQUISITE: Differential Equations for Engineering and Physics, 640:244 or Elementary Differential Equations, 640:252, or equivalent.

Please Note: Primarily for mechanical engineering majors. Credit not given for this course and Elementary Partial Differential Equations, 640:423.

Laplace transforms, numerical solution of ordinary differential equations, Fourier series, and separation of variables method applied to the linear partial differential equations of mathematical physics (heat, wave, and laplace's equation).

COMBINATORICS. (CR.3.)
01:640:454: SEC. E1:80151
N.B. DAY 6/26-8/3
MTWTH 10:15-12:00
STAFF
HILL CENTER 423

PREREQUISITES: Two semesters of college calculus and Introductory Linear Algebra, 640:250.

Existence and enumeration of designs and patterns such as codes, graphs, and block designs, and extremal problems related to such objects. Emphasis on applications to computer, biological, physical, and social problems.

MATHEMATICAL THEORY OF PROBABILITY. (CR.3.)
01:640:477: SEC. E1:80152
N.B. DAY 6/26-8/3
MTWTH 8:15-10:00
STAFF
FRELINGHUYSEN B4

01:640:477: SEC. E6:80153
N.B. EVE. 6/26-8/4
MWF 6:15-8:45
STAFF
HICKMAN 115

PREREQUISITE: Three semesters of college calculus or Multivariable Calculus, 640:251.

Basic probability theory in both discrete and continuous sample spaces, combinations, random variables and their distribution functions, expectations, law of large numbers, central limit theorem.

INDIVIDUAL STUDY IN MATHEMATICS. (CR.3.)
01:640:493: SEC. E1:80154
N.B. DAY 6/26-8/4
TIME TO BE ARRANGED.

01:640:493: SEC. H1:80155
N.B. DAY 7/10-8/16
TIME TO BE ARRANGED.

Open only to matriculated Rutgers students.