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Applied Mathematics
Department of Mathematical Sciences
mathematics
4
p1 * Can be replaced with Math 333 Probability and Statistics (3-0-3)
p2 ** or approved course at Rutgers-Newark
p3 *** This course must satisfy the Engineering Technology GUR requirement. The following courses may be substituted for MTSC 301: all OPSE courses, Phys 443, Phys 444, Phys 481, Phys 482 and Phys 485.
p4 **** This Phys/OPSE course must satisfy the Engineering Technology GUR requirement. Courses that meet this requirement are all OPSE courses, Phys 443, Phys 444, Phys 481, Phys 482 and Phys 485.

Applied Mathematics
Administered By:Department of Mathematical Sciences
4
s1 * Joint appointment with Department of Biomedical Engineering
s2 ** Joint appointment with the Department of Information Systems
s3 *** Joint appointment with the Federated Department of Biological Sciences
s4 **** Joint appointment with the Department of Electrical and Computer Engineering
2

Administration
6
Chair Ahluwali
Associate Chair. depapa
Associate Chair Undergraduate Program michalop
Director, Graduate Studies kondic
Director Statistics Program bhattach
Departmental Coordinator gulati

Administration
Chair Daljit S. Ahluwalia
Associate Chair. Demetrius Papageorgiou
Associate Chair Undergraduate Program Zoi-heleni Michalopoulou
Director, Graduate Studies Lou Kondic
Director Statistics Program Manish Bhattacharjee
Departmental Coordinator Padma Gulati

Faculty
9
Foundation Chair grkrie
Distinguished Professors grkrie,miura[s1]
Professors ahluwali,andrushk,bhattach,blackmor,bose,deek[s2], lacker[s1],levy,lukej,milojevi,depapa,perez,michalop[s4],misieg,farzan[s3]
Associate Professors bechtold,booty,bukiet,chase,wychoi,dhar,dios,golowasc[s3],horntrop,kappraff,katzen,kondic,lieb,peterp,plastock,sran,sundars,xwang,muratov
Assistant Professors boubendi,goodman,peterg,jiang,matveev,rmoore,tao,yyoung
Special Lecturers Jain,Rappapor,Ratnaswa,venkates
Lecturers abdel, hunter, mohebbi, zaleski
Post Doctoral Fellows rbarros,sbm4,zorych,abg3
Research Professors Booth,Thomas Erneux,elmer, Georgiev,kj22, Roberto Mauri,dalc,Jean Vanden-Broeck,raymond

Faculty
Foundation Chair Gregory A. Kriegsmann
Distinguished Professors Gregory A. Kriegsmann, Robert M. Miura*
Professors Daljit S. Ahluwalia, Roman I. Andrushkiw, Manish Bhattacharjee, Denis L. Blackmore, Amitabha K. Bose, Fadi Deek** , H M. Lacker* , Dorothy Levy, Jonathan H. Luke, Petronije Milojevic, Demetrius Papageorgiou, Manuel Perez, Zoi-heleni Michalopoulou**** , Michael S. Siegel, Farzan Nadim***
Associate Professors John K. Bechtold, Michael R. Booty, Bruce G. Bukiet, Hamilton A. Chase, Wooyoung Choi, Sunil K. Dhar, Rose Dios, Jorge P. Golowasch*** , David J. Horntrop, Jay M. Kappraff, Martin Katzen, Lou Kondic, Murray I. Lieb, Peter G. Petropoulos, Roy A. Plastock, Kewal S. Sran, Sundarraman Subramanian, Sheldon Wang, Cyrill B. Muratov
Assistant Professors Yassine Boubendir, Roy H. Goodman, Peter Gordon, Shidong Jiang, Victor V. Matveev, Richard O. Moore, Louis Tao, Yuan-nan Young
Special Lecturers Aridaman K. Jain, Karen D. Rappaport, Jeyakumaran Ratnaswamy, Venkatasubraman Venkateswaran
Lecturers Soha R. Abdeljaber, John Hunter, Soroosh Mohebbi Forushani, Joseph Zaleski
Post Doctoral Fellows Ricardo A. Lopes barros, Stefan B. Maehlmann, Ivan Zorych, Arnaud B. Goullet
Research Professors Booth, Thomas Erneux, Christopher E. Elmer, Georgiev, Kenneth A. Johnson, Roberto Mauri, dalc, Jean Vanden-Broeck, Christopher S. Raymond
*  Joint appointment with Department of Biomedical Engineering
**  Joint appointment with the Department of Information Systems
***  Joint appointment with the Federated Department of Biological Sciences
****  Joint appointment with the Department of Electrical and Computer Engineering
 
The undergraduate program in applied mathematics prepares students for analytical and computational work in industry or government, for graduate study in mathematics or a related field, or for various professional schools.

Majors: The undergraduate curriculum provides students with training in a broad range of mathematical techniques and problem solving strategies. Many of the courses in this program emphasize the modeling of physical, biological and industrial phenomena and solving the resulting mathematical problems by using computational and analytical techniques. Senior "capstone" courses provide an opportunity for students to synthesize the knowledge gained during their undergraduate experience by combining mathematical modeling with physical and computational experiments conducted in the Undergraduate Mathematics Computing Laboratory.

Double Majors : Students may earn a second major in addition to the applied mathematics major. Two of the most popular double majors with the applied mathematics major are the computer science (B.S.) major and the biology (B.S.) major. Completion is usually feasible within four years of full-time study.

Contact the Department of Mathematical Sciences for a list of appropriate courses to complete a double major with the applied mathematics major. For general rules about double majors, see Degree Options in the Academic Policies and Procedures section of this catalog.

Curriculum: The curriculum as described below is for students entering NJIT as freshmen in the fall of 2002 or after that date. Students entering before that date have a different program and should consult the department to learn which curriculum applies.

2
B.S. in Mathematical Sciences with an option in Applied Mathematics 127 credits minimum 9
 
B.S. in Mathematical Sciences with an option in Applied Mathematics (127 credits minimum)

FIRST YEAR:
1st Semester: (15 credits)

math111,cs115,cs115a,hum101,phys111,phys111a,frshsem,{Elective;Physical Education:GUR;0-1-1}
  Math 111Calculus I (4-1-4)
  CS 115Intro. to CS I in C++ (3-0-3)
  CS 115AComputer Science I Lab/C++ (0-1.5-0)
  HUM 101English Composition: Writing, Speaking, Thinking I (3-0-3)
  Phys 111Physics I (3-0-3)
  Phys 111APhysics I Laboratory (0-2-1)
  Frsh SemFreshman Seminar (1-0-0)
  Elective (Physical Education:GUR) (0-1-1) 
2nd Semester: (17 credits) math112,cs116,cs116a,eps202[p2],phys121,phys121a,{Elective;Communications/Cultural History:GUR;3-0-3}
  Math 112Calculus II (4-1-4)
  CS 116Intro. to Computer Science II/C++ (3-0-3)
  CS 116AComputer Science II Lab/C++ (0-1.5-0)
 ** EPS 202Society, Technology, and the Environment (3-0-3)
  Phys 121Physics II (3-0-3)
  Phys 121APhysics II Laboratory (0-2-1)
  Elective (Communications/Cultural History:GUR) (3-0-3) 
SECOND YEAR:
1st Semester: (18 credits) math213,math226,math244[p1],phys234,phys231a,{Elective;Cultural History:GUR;3-0-3}
  Math 213Calculus III B (4-0-4)
  Math 226Discrete Analysis (4-0-4)
 * Math 244Introduction to Probability Theory (3-0-3)
  Phys 234Physics III (3-0-3)
  Phys 231APhysics III Laboratory (0-2-1)
  Elective (Cultural History:GUR) (3-0-3) 
2nd Semester: (17 credits) math222,math337,ss201,{Elective;Technical;3-0-3},{Elective;Lit/Hist/Phil/STS:GUR;3-0-3},{Elective;Physical Education:GUR;0-1-1}
  Math 222Differential Equations (4-0-4)
  Math 337Linear Algebra (3-0-3)
  SS 201Economics (3-0-3)
  Elective (Technical) (3-0-3) 
  Elective (Lit/Hist/Phil/STS:GUR) (3-0-3) 
  Elective (Physical Education:GUR) (0-1-1) 
THIRD YEAR:
1st Semester: (15 credits) math340,math473,math480,{Elective;Management:GUR;3-0-3},{Elective;Free;3-0-3}
  Math 340Applied Numerical Methods (3-0-3)
  Math 473Intermediate Differential Equations (3-0-3)
  Math 480Introductory Mathematical Analysis (3-0-3)
  Elective (Management:GUR) (3-0-3) 
  Elective (Free) (3-0-3) 
2nd Semester: (15 credits) math331,math332,math481,{Elective;Humanities & Social Science Upper Level Elective,{Elective;Free;3-0-3}
  Math 331Introduction to Partial Differential Equations (3-0-3)
  Math 332 Introduction to Functions of a Complex Variable (3-0-3)
  Math 481Advanced Calculus (3-0-3)
  Elective (Humanities & Social Science Upper Level Elective) 
  Elective (Free) (3-0-3) 

FOURTH YEAR:
1st Semester: (15 credits)

math450h,{Elective;Mathematics 300+;3-0-3},{Elective;Senior Seminar-Humanities and Social Science:GURl;3-0-3},{Elective;Technical;3-0-3},{Elective;Free;3-0-3}
  Math 450HMethods of Applied Mathematics I (Capstone I) (3-0-3)
  Elective (Mathematics 300+) (3-0-3) 
  Elective (Senior Seminar-Humanities and Social Science:GURl) (3-0-3) 
  Elective (Technical) (3-0-3) 
  Elective (Free) (3-0-3) 
2nd Semester: (15 credits) math451h,{Elective;Mathematics 400+;3-0-3},{Elective;Technical;3-0-3},{Elective;Technical;3-0-3},{Elective;Technical;3-0-3}
  Math 451HMethods of Applied Mathematics II (Capstone II) ( 3-0-3)
  Elective (Mathematics 400+) (3-0-3) 
  Elective (Technical) (3-0-3) 
  Elective (Technical) (3-0-3) 
  Elective (Technical) (3-0-3) 

General University Requirements and Electives

All students are required to satisfy the General University Requirements (GUR). All GUR courses and additional mathematics, technical, and free electives are to be selected in consultation with a faculty advisor in the Department of Mathematical Sciences. Refer to the General University Requirements section of this catalog for further information on electives.

Engineering Technology GUR (6 credits): Two courses selected from among the following: any lower division or upper division courses in engineering (including EG, FED, and Mech courses); any upper division courses in architecture, computer science, or engineering technology, or MIS 345 .

Management GUR: Students take IE 492 or Mgmt 390

Physical Education GUR: Students who register as full-time undergraduates for two or more consecutive semesters must take two PE courses, one of which must be a 100-level fitness core course. Students are urged to complete the requirement as soon as possible.

Basic Social Sciences GUR: Three credits of the basic social sciences requirement must be taken in economics; acceptable courses are SS 201,Econ 265, or Econ 266 . The remaining 3 credits may be satisfied by HSS 202,STS 257, or STS 258 . Students also may take approved introductory courses in basic social sciences at Rutgers-Newark to fulfill this requirement.

Cultural History GUR: Take two courses (6 credits) from among HSS 211,HSS 212 ,HSS 213, and 200-level history courses at Rutgers-Newark.

Lit/Hist/Phil/STS GUR: Students must take one 300-level course from any of the following fields: literature; history; philosophy; or science, technology, and society (STS); or an approved 300-level course at Rutgers-Newark.

Open Elective in Humanities and Social Science GUR: Students must take one 300-level course from any of the following fields: English (Eng); history (Hist); literature (Lit); philosophy (Phil); science, technology, and society (STS); social science (SS); or theater (Thtr). Students also may satisfy this requirement with Architectural History IV (Arch 382) or by taking an approved 300-level course at Rutgers-Newark.

Capstone Seminar in Humanities and Social Science GUR: All students, except those enrolled in the honors college, take one of the following: HSS 403,HSS 404,HSS 405,HSS 406,HSS 407,HSS 408,HSS 409.Students enrolled in the honors college take one from HSS 491H-499H .

Electives

Mathematics, Technical, and Free Electives: Any mathematics course numbered 331 or above may be used as a mathematics, technical, or free elective. Any NJIT course at or above the 100 level may be used as a technical or free elective; except a technical elective is a course that has a significant mathematical and/or scientific content. All elective courses are to be chosen in consultation with a faculty advisor in the Department of Mathematical Sciences.

Co-op Courses
In Mathematical Sciences, the co-op courses, Math 310 and Math 410, bear degree credit and count as technical or free electives, subject to approval by a faculty advisor in the Department of Mathematical Sciences.

B. S. Double Major in Applied Physics and Applied Mathematics 130 Credits 8
 
B. S. Double Major in Applied Physics and Applied Mathematics (130 Credits)
FIRST YEAR:
1st Semester: hum101,phys111,phys111a,math111,{cs113|cs115},chem125,{Frsh Sem;Freshman Seminar;1-0-0}
  HUM 101English Composition: Writing, Speaking, Thinking I (3-0-3)
  Phys 111Physics I (3-0-3)
  Phys 111APhysics I Laboratory (0-2-1)
  Math 111Calculus I (4-1-4)
 CS 113Introduction to Computer Science (3-0-3) or
 CS 115Intro. to CS I in C++ (3-0-3)
  Chem 125General Chemistry I (3-0-3)
  Frsh Sem (Freshman Seminar) (1-0-0) 
2nd Semester: phys114,phys121,phys121a,math112,chem126,chem124,{Elective;Physical Education:GUR;0-1-1}
  Phys 114Introduction to Data Reduction with Applications (3-0-3)
  Phys 121Physics II (3-0-3)
  Phys 121APhysics II Laboratory (0-2-1)
  Math 112Calculus II (4-1-4)
  Chem 126General Chemistry II (3-0-3)
  Chem 124General Chemistry Laboratory (0-2-1)
  Elective (Physical Education:GUR) (0-1-1) 
SECOND YEAR:
1st Semester: math213,math244[p1],phys234,phys231a,{Elective;Social Science:GUR;3-0-3},{Elective;Eng/Comm. or Cultural History:GUR; 3-0-3}
  Math 213Calculus III B (4-0-4)
 * Math 244Introduction to Probability Theory (3-0-3)
  Phys 234Physics III (3-0-3)
  Phys 231APhysics III Laboratory (0-2-1)
  Elective (Social Science:GUR) (3-0-3) 
  Elective (Eng/Comm. or Cultural History:GUR) ( 3-0-) 
2nd Semester: math222,math328,phys335,{HSS21X;Cultural History: GUR;3-0-3},{Elective;Social Science:GUR;3-0-3},{Elective;Physical Education; 0-1-1}
  Math 222Differential Equations (4-0-4)
  Math 328Mathematical Methods for Scientists and Engineers (3-0-3)
  Phys 335Introductory Thermodynamics (3-0-3)
  HSS21X (Cultural History: GUR) (3-0-3) 
  Elective (Social Science:GUR) (3-0-3) 
  Elective (Physical Education) ( 0-1-) 
THIRD YEAR:
1st Semester: math337,phys430,phys432,math240,math332,{Elective;Eng/Lit/Hist/Phil/STS:GUR;3-0-3}
  Math 337Linear Algebra (3-0-3)
  Phys 430Classical Mechanics I (3-0-3)
  Phys 432Electromagnetism I (3-0-3)
  Math 240 Numerical Mathematics Laboratory (3-0-3)
  Math 332 Introduction to Functions of a Complex Variable (3-0-3)
  Elective (Eng/Lit/Hist/Phil/STS:GUR) (3-0-3) 
2nd Semester: math340,math331,{Elective;Physics/OPSE Elective;3-0-3},{Elective;Physics/OPSE Elective;3-0-3},phys433
  Math 340Applied Numerical Methods (3-0-3)
  Math 331Introduction to Partial Differential Equations (3-0-3)
  Elective (Physics/OPSE Elective) (3-0-3) 
  Elective (Physics/OPSE Elective) (3-0-3) 
  Phys 433Electromagnetism II (3-0-3)
FOURTH YEAR:
1st Semester: math480,phys442,math473,{Elective;Eng/Hist/Lit/Phil/STS/SS/THTR:GUR;3-0-3},math450h
  Math 480Introductory Mathematical Analysis (3-0-3)
  Phys 442Introduction to Quantum Mechanics (3-0-3)
  Math 473Intermediate Differential Equations (3-0-3)
  Elective (Eng/Hist/Lit/Phil/STS/SS/THTR:GUR) (3-0-3) 
  Math 450HMethods of Applied Mathematics I (Capstone I) (3-0-3)
2nd Semester: {Elective;Management:GUR;3-0-3},{HSS40X;Capstone Seminar:GUR;3-0-3},phys450,math451h,{Elective;Phys/OPSE Elective;3-0-3}[p4]
  Elective (Management:GUR) (3-0-3) 
  HSS40X (Capstone Seminar:GUR) (3-0-3) 
  Phys 450Advanced Physics Laboratory (1-4-3)
  Math 451HMethods of Applied Mathematics II (Capstone II) ( 3-0-3)
 **** Elective (Phys/OPSE Elective) (3-0-3) 


*  Can be replaced with Math 333 Probability and Statistics (3-0-3)
**  or approved course at Rutgers-Newark
***  This course must satisfy the Engineering Technology GUR requirement. The following courses may be substituted for MTSC 301: all OPSE courses, Phys 443, Phys 444, Phys 481, Phys 482 and Phys 485.
****  This Phys/OPSE course must satisfy the Engineering Technology GUR requirement. Courses that meet this requirement are all OPSE courses, Phys 443, Phys 444, Phys 481, Phys 482 and Phys 485.
 
1
1
4
Double Major in Computer Science and Mathematical Sciences 135 credit minimum 8
 
Double Major in Computer Science and Mathematical Sciences (135 credit minimum)
FIRST YEAR
1st Semester: cs113,cs113a,math111,phys111,phys111a,hum101,frshsem,{Elective;Physical Education:GUR;0-1-1}
  CS 113Introduction to Computer Science (3-0-3)
  CS 113ALab (0-1.5-0)
  Math 111Calculus I (4-1-4)
  Phys 111Physics I (3-0-3)
  Phys 111APhysics I Laboratory (0-2-1)
  HUM 101English Composition: Writing, Speaking, Thinking I (3-0-3)
  Frsh SemFreshman Seminar (1-0-0)
  Elective (Physical Education:GUR) (0-1-1) 
2nd Semester: cs114,cs114a,math112,phys121,phys121a,hss202,hum102,{Elective;Physical Education:GUR;0-1-1}
  CS 114Introduction to Computer Science II (3-0-3)
  CS 114ALab (0-1.5-0)
  Math 112Calculus II (4-1-4)
  Phys 121Physics II (3-0-3)
  Phys 121APhysics II Laboratory (0-2-1)
  HSS 202Society, Technology, and Environment (3-0-3)
  HUM 102English Composition: Writing, Speaking, Thinking II (3-0-3)
  Elective (Physical Education:GUR) (0-1-1) 
SECOND YEAR
1st Semester: cs252,cs280,math211,phys234,phys231a,{Elective;Social Science}
  CS 252Computer Organization and Architecture (3-0-3)
  CS 280Programming Language Concepts (3-0-3)
  Math 211Calculus III A (3-0-3)
  Phys 234Physics III (3-0-3)
  Phys 231APhysics III Laboratory (0-2-1)
  Elective (Social Science) 
2nd Semester: cs288,cs332,math222,math226,{Elective;Cultural History:GUR;3-0-3},{Elective;Open:GUR;3-0-3}
  CS 288Intensive Programming Practicum (3-0-3)
  CS 332Principles of Operating Systems (3-0-3)
  Math 222Differential Equations (4-0-4)
  Math 226Discrete Analysis (4-0-4)
  Elective (Cultural History:GUR) (3-0-3) 
  Elective (Open:GUR) (3-0-3) 
THIRD YEAR
1st Semester: cs341,is350,math333,math337,math340,{Elective;Lit/Hist/Phil/STS:GUR;3-0-3}
  CS 341Foundations of Computer Science II (3-0-3)
  IS 350Computers and Society (3-0-3)
  Math 333Probability and Statistics (3-0-3)
  Math 337Linear Algebra (3-0-3)
  Math 340Applied Numerical Methods (3-0-3)
  Elective (Lit/Hist/Phil/STS:GUR) (3-0-3) 
2nd Semester: cs435,{Elective;CS;3-0-3},{Elective;Math 300+;3-0-3},math331,math332
  CS 435Advanced Data Structures and Algorithm Design (3-0-3)
  Elective (CS) (3-0-3) 
  Elective (Math 300+) (3-0-3) 
  Math 331Introduction to Partial Differential Equations (3-0-3)
  Math 332 Introduction to Functions of a Complex Variable (3-0-3)
FOURTH YEAR
1st Semester: cs431,cs490,{Elective;Management:GUR;3-0-3},{Elective;CS;3-0-3},math450h,math480
  CS 431Database System Design and Management (3-0-3)
  CS 490Guided Design in Software Engineering (3-0-3)
  Elective (Management:GUR) (3-0-3) 
  Elective (CS) (3-0-3) 
  Math 450HMethods of Applied Mathematics I (Capstone I) (3-0-3)
  Math 480Introductory Mathematical Analysis (3-0-3)
2nd Semester: cs491,{Elective;CS;3-0-3},math451h,{Elective;Math 300+;3-0-3},{Elective;Capstone Seminar:GUR;3-0-3}
  CS 491Senior Project (3-0-3)
  Elective (CS) (3-0-3) 
  Math 451HMethods of Applied Mathematics II (Capstone II) ( 3-0-3)
  Elective (Math 300+) (3-0-3) 
  Elective (Capstone Seminar:GUR) (3-0-3) 
 
 


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