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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
5
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
s5 ***** Joint appointment with School of Mangement
2

Administration
6
Chair lukej
Acting Chair bechtold
Associate Chair, Undergraduate Studies michalop
Director, Graduate Studies lcumming
Director, Statistics Program dhar
Departmental Coordinator michie

Administration
Chair Jonathan H. Luke
Acting Chair John K. Bechtold
Associate Chair, Undergraduate Studies Zoi-heleni Michalopoulou
Director, Graduate Studies Linda J. Cummings
Director, Statistics Program Sunil K. Dhar
Departmental Coordinator Eileen M. Michie

Faculty
8
Distinguished Professors grkrie,miura[s1]
Professors bose,ahluwali,blackmor,deek[s2],farzan[s3],lukej,bechtold,kondic,bhattach,perez,booty,misieg,milojevi,andrushk,dhar,wychoi,michalop[s4]
Associate Professors aw224,bukiet,cct21,muratov,horntrop,russell[s3],horacio,kappraff,loh,golowasc[s3],lcumming,lieb,rmoore,peterp,plastock,dios,goodman,jiang,sundars,matveev,yyoung,boubendi
Assistant Professors diekman,dbunker[s3,shahriar,wguo,rsverdlo[s5]
Senior University Lecturers Ratnaswa,Rappapor,sjkim
Lecturers klimekd,hayesj,hunter,zaleski,profsr31,sieminsk,pnatar,rkelly, mohebbi
Post Doctoral Fellows ahong,gchaves,skm21

Faculty
Distinguished Professors Gregory A. Kriegsmann, Robert M. Miura*
Professors Amitabha K. Bose, Daljit S. Ahluwalia, Denis L. Blackmore, Fadi Deek** , Farzan Nadim*** , Jonathan H. Luke, John K. Bechtold, Lou Kondic, Manish Bhattacharjee, Manuel Perez, Michael R. Booty, Michael S. Siegel, Petronije Milojevic, Roman I. Andrushkiw, Sunil K. Dhar, Wooyoung Choi, Zoi-heleni Michalopoulou****
Associate Professors Antai Wang, Bruce G. Bukiet, Catalin C. Turc, Cyrill B. Muratov, David J. Horntrop, Gareth J. Russell*** , Horacio G. Rotstein, Jay M. Kappraff, Ji M. Loh, Jorge P. Golowasch*** , Linda J. Cummings, Murray I. Lieb, Richard O. Moore, Peter G. Petropoulos, Roy A. Plastock, Rose Dios, Roy H. Goodman, Shidong Jiang, Sundarraman Subramanian, Victor V. Matveev, Yuan-nan Young, Yassine Boubendir
Assistant Professors Casey O. Diekman, Daniel E. Bunker*** , Shahriar Afkhami, Wenge Guo, Ronald Sverdlove*****
Senior University Lecturers Jeyakumaran Ratnaswamy, Karen D. Rappaport, Seonja Kim
Lecturers Diana P. Klimek, Jimmy L. Hayes, John Hunter, Joseph Zaleski, Ken Horwitz, Katarzyna M. Sieminska, Padma Natarajan, Rudy Kelly, Soroosh Mohebbi Forushani
Post Doctoral Fellows Andrew E. Hong, Gabriel D. Chaves, Sashi K. Marella
*  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
*****  Joint appointment with School of Mangement
 

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.

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)

Prerequisite grade requirement for Mathematical Sciences majors:
Students are required to earn a grade of C or better in all Math courses.

FIRST YEAR:
1st Semester: (15 credits)

This curriculum represents the maximum number of credits per semester for which a student is advised to register.  A full-time credit load is 12 credits.  First-year students are placed in a curriculum that positions them for success which may result in additional time needed to complete curriculum requirements. Continuing students should consult with their academic advisor to determine the appropriate credit load.

math111,cs100,hum101,phys111,phys111a,frshsem,{PE;Physical Education:GUR;0-1-1}
  Math 111Calculus I (4-1-4)
  CS 100Roadmap to Computing (3-0-3)
  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)
  PE (Physical Education:GUR) (0-1-1) 
2nd Semester: (15 credits) math112,{PE;Physical Education;0-1-1},eps202[p2],phys121,phys121a,hum102
  Math 112Calculus II (4-1-4)
  PE (Physical Education) (0-1-1) 
 ** EPS 202Society, Technology, and the Environment (3-0-3)
  Phys 121Physics II (3-0-3)
  Phys 121APhysics II Laboratory (0-2-1)
  HUM 102English Composition: Writing, Speaking, Thinking II (3-0-3)
SECOND YEAR:
1st Semester: (18 credits) math213,math227,math244[p1],phys234,phys231a,{Elective;Cultural History:GUR;3-0-3}
  Math 213Calculus III B (4-0-4)
  Math 227Mathematical Modeling (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: (16 credits) math222,math337,econ201,{Elective;Technical;3-0-3},{Elective;Lit/Hist/Phil/STS:GUR;3-0-3}
  Math 222Differential Equations (4-0-4)
  Math 337Linear Algebra (3-0-3)
  Econ 201Economics (3-0-3)
  Elective (Technical) (3-0-3) 
  Elective (Lit/Hist/Phil/STS:GUR) (3-0-3) 
THIRD YEAR:
1st Semester: (15 credits) math340,math473,math480,{Elective;Management:GUR;3-0-3},{Elective;Free;3-0-3}
  Math 340Applied Numerical Methods (3-1-3)
  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: (18 credits) math331,math332,math481,{Elective;Humanities & Social Science Upper Level Elective},{Elective;Free;3-0-3},{math391|math440|math448}
  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) 
 Math 391Numerical Linear Algebra (3-0-3) or
 Math 440Advanced Applied Numerical Methods (3-0-3) or
 Math 448Stochastic Simulation (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) 

B. S. Double Major in Applied Physics and Applied Mathematics 130 Credits 9
 
B. S. Double Major in Applied Physics and Applied Mathematics (130 Credits)

Prerequisite grade requirement for Mathematical Sciences majors:
Students are required to earn a grade of C or better in all Math courses

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-) 
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,{math227|{Elective;Math 300+ elective;3-0-3}},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 227Mathematical Modeling (4-0-4) or
 Elective (Math 300+ elective) (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 (3-1-3)
  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) 

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.

Electives

All electives should be selected after consultation with a Mathematical Sciences faculty advisor. 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.



*  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: cs100,math111,phys111,phys111a,hum101,frshsem,{Elective;Physical Education:GUR;0-1-1}
  CS 100Roadmap to Computing (3-0-3)
  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: cs113,math112,phys121,phys121a,eps202,hum102,{Elective;Physical Education:GUR;0-1-1}
  CS 113Introduction to Computer Science (3-0-3)
  Math 112Calculus II (4-1-4)
  Phys 121Physics II (3-0-3)
  Phys 121APhysics II Laboratory (0-2-1)
  EPS 202Society, Technology, and the 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: math227,cs114,math211,phys234,phys231a
  Math 227Mathematical Modeling (4-0-4)
  CS 114Introduction to Computer Science II (3-0-3)
  Math 211Calculus III A (3-0-3)
  Phys 234Physics III (3-0-3)
  Phys 231APhysics III Laboratory (0-2-1)
2nd Semester: cs280,cs332,math222,cs252,{Elective;Cultural History GUR;3-0-3},{Elective;Social Science; 3-0-3}
  CS 280Programming Language Concepts (3-0-3)
  CS 332Principles of Operating Systems (3-0-3)
  Math 222Differential Equations (4-0-4)
  CS 252Computer Organization and Architecture (3-0-3)
  Elective (Cultural History GUR) (3-0-3) 
  Elective (Social Science) ( 3-0-) 
THIRD YEAR
1st Semester: cs241,cs288,math333,math337,math340,{Elective;Lit/Hist/Phil/STS:GUR;3-0-3}
  CS 241Foundations of Computer Science I (3-0-3)
  CS 288Intensive Programming in Linux (3-0-3)
  Math 333Probability and Statistics (3-0-3)
  Math 337Linear Algebra (3-0-3)
  Math 340Applied Numerical Methods (3-1-3)
  Elective (Lit/Hist/Phil/STS:GUR) (3-0-3) 
2nd Semester: cs435,cs341,{Elective;Open:GUR;3-0-3},{Elective;Math 300+;3-0-3},math331,math332
  CS 435Advanced Data Structures and Algorithm Design (3-0-3)
  CS 341Foundations of Computer Science II (3-0-3)
  Elective (Open:GUR) (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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