| Applied Mathematics |
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Administered By:
Department of Mathematical Sciences
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| 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. |
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| 4 |
| s1 |
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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 |
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Administration
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| Chair |
Ahluwali |
| Associate Chair. |
depapa |
| Associate Chair Undergraduate Program |
michalop |
| Director, Graduate Studies |
kondic |
| Director Statistics Program |
bhattach |
| Departmental Coordinator |
gulati |
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Administration |
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Faculty
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| 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 |
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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 |
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* Joint appointment with Department of Biomedical Engineering
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** Joint appointment with the Department of Information Systems
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*** Joint appointment with the Federated Department of Biological Sciences
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**** Joint appointment with the Department of Electrical and Computer Engineering
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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.
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| B.S. in Mathematical Sciences with an option in Applied Mathematics |
127 credits minimum |
9 |
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B.S. in Mathematical Sciences with an option in Applied Mathematics
(127 credits minimum)
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FIRST YEAR: 1st semester:
math111,cs115,cs115a,hum101,phys111,phys111a,frshsem,{Elective;Physical Education:GUR;0-1-1}
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| | | Math 111 | Calculus I (4-1-4) | | | | CS 115 | Intro. to CS I in C++ (3-0-3) | | | | CS 115A | Computer Science I Lab/C++ (0-1.5-0) | | | | HUM 101 | English Composition: Writing, Speaking, Thinking I (3-0-3) | | | | Phys 111 | Physics I (3-0-3) | | | | Phys 111A | Physics I Laboratory (0-2-1) | | | | Frsh Sem | Freshman Seminar (1-0-0) | | | | Elective | (Physical Education:GUR) (0-1-1) |
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2nd semester:
math112,cs116,cs116a,hss202[p2],phys121,phys121a,{Elective;Cultural History:GUR;3-0-3}
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| | | Math 112 | Calculus II (4-1-4) | | | | CS 116 | Intro. to Computer Science II/C++ (3-0-3) | | | | CS 116A | Computer Science II Lab/C++ (0-1.5-0) | | | ** | HSS 202 | Society, Technology, and Environment (3-0-3) | | | | Phys 121 | Physics II (3-0-3) | | | | Phys 121A | Physics II Laboratory (0-2-1) | | | | Elective | (Cultural History:GUR) (3-0-3) |
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SECOND YEAR: 1st semester:
math213,math226,math244[p1],phys234,phys231a,{Elective;Cultural History:GUR;3-0-3}
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| | | Math 213 | Calculus III B (4-0-4) | | | | Math 226 | Discrete Analysis (4-0-4) | | | * | Math 244 | Introduction to Probability Theory (3-0-3) | | | | Phys 234 | Physics III (3-0-3) | | | | Phys 231A | Physics III Laboratory (0-2-1) | | | | Elective | (Cultural History:GUR) (3-0-3) |
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2nd semester:
math222,math240,math337,ss201,{Elective;Lit/Hist/Phil/STS:GUR;3-0-3},{Elective;Physical Education:GUR;0-1-1}
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| | | Math 222 | Differential Equations (4-0-4) | | | | Math 240 | Numerical Mathematics Laboratory (3-0-3) | | | | Math 337 | Linear Algebra (3-0-3) | | | | SS 201 | Economics (3-0-3) | | | | Elective | (Lit/Hist/Phil/STS:GUR) (3-0-3) | | | | Elective | (Physical Education:GUR) (0-1-1) |
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THIRD YEAR: 1st semester:
math340,math473,math480,{Elective;Open Humanities and Social Science:GUR;3-0-3},{Elective;Management:GUR;3-0-3},{Elective;Free;3-0-3}
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| | | Math 340 | Applied Numerical Methods (3-0-3) | | | | Math 473 | Intermediate Differential Equations (3-0-3) | | | | Math 480 | Introductory Mathematical Analysis (3-0-3) | | | | Elective | (Open Humanities and Social Science:GUR) (3-0-3) | | | | Elective | (Management:GUR) (3-0-3) | | | | Elective | (Free) (3-0-3) |
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2nd semester:
math331,math332,math481,{Elective;Capstone Seminar-Humanities and Social Science:GUR;3-0-3},{Elective;Free;3-0-3}
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| | | Math 331 | Introduction to Partial Differential Equations (3-0-3) | | | | Math 332 | Introduction to Functions of a Complex Variable (3-0-3) | | | | Math 481 | Advanced Calculus (3-0-3) | | | | Elective | (Capstone Seminar-Humanities and Social Science:GUR) (3-0-3) | | | | Elective | (Free) (3-0-3) |
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FOURTH YEAR: 1st semester:
math450h,{Elective;Engineering Technology:GUR;3-0-3},{Elective;Mathematics 300+;3-0-3},{Elective;Technical;3-0-3},{Elective;Free;3-0-3}
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| | | Math 450H | Methods of Applied Mathematics I (Capstone I) (3-0-3) | | | | Elective | (Engineering Technology:GUR) (3-0-3) | | | | Elective | (Mathematics 300+) (3-0-3) | | | | Elective | (Technical) (3-0-3) | | | | Elective | (Free) (3-0-3) |
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2nd semester:
math451h,{Elective;Engineering Technology:GUR;3-0-3},{Elective;Mathematics 400+;3-0-3},{Elective;Technical;3-0-3}
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| | | Math 451H | Methods of Applied Mathematics II (Capstone II) ( 3-0-3) | | | | Elective | (Engineering Technology:GUR) (3-0-3) | | | | Elective | (Mathematics 400+) (3-0-3) | | | | Elective | (Technical) (3-0-3) |
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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.
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| B. S. Double Major in Applied Physics and Mathematical Sciences - Option of Applied Mathematics |
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B. S. Double Major in Applied Physics and Mathematical Sciences - Option of Applied Mathematics
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FIRST YEAR: 1st Semester:
hum101,phys111,phys111a,math111,cs113,chem125,{Frsh Sem;Freshman Seminar;1-0-0}
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| | | HUM 101 | English Composition: Writing, Speaking, Thinking I (3-0-3) | | | | Phys 111 | Physics I (3-0-3) | | | | Phys 111A | Physics I Laboratory (0-2-1) | | | | Math 111 | Calculus I (4-1-4) | | | | CS 113 | Introduction to Computer Science (3-0-3) | | | | Chem 125 | General Chemistry I (3-0-3) | | | | Frsh Sem | (Freshman Seminar) (1-0-0) |
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2nd Semester:
cs114,phys121,phys121a,math112,chem126,chem124,{PE;Physical Education:GUR;0-1-1}
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| | | CS 114 | Introduction to Computer Science II (3-0-3) | | | | Phys 121 | Physics II (3-0-3) | | | | Phys 121A | Physics II Laboratory (0-2-1) | | | | Math 112 | Calculus II (4-1-4) | | | | Chem 126 | General Chemistry II (3-0-3) | | | | Chem 124 | General Chemistry Laboratory (0-2-1) | | | | PE | (Physical Education:GUR) (0-1-1) |
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SECOND YEAR: 1st Semester:
math213,math244[p1],phys234,phys231a,hss202[p2],{HSS21X;Cultural History:GUR; 3-0-3}
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| | | Math 213 | Calculus III B (4-0-4) | | | * | Math 244 | Introduction to Probability Theory (3-0-3) | | | | Phys 234 | Physics III (3-0-3) | | | | Phys 231A | Physics III Laboratory (0-2-1) | | | ** | HSS 202 | Society, Technology, and Environment (3-0-3) | | | | HSS21X | (Cultural History:GUR) ( 3-0-) |
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2nd Semester:
math222,math335,phys335,{HSS21X;Cultural History: GUR;3-0-3},ss201,{PE;Physical Education; 0-1-1}
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| | | Math 222 | Differential Equations (4-0-4) | | | | Math 335 | Vector Analysis (3-0-3) | | | | Phys 335 | Introductory Thermodynamics (3-0-3) | | | | HSS21X | (Cultural History: GUR) (3-0-3) | | | | SS 201 | Economics (3-0-3) | | | | PE | (Physical Education) ( 0-1-) |
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THIRD YEAR: 1st Semester:
math337,phys430,phys432,math240,math332,{HUM;>300Eng/Lit/Hist/Phil/STS:GUR;3-0-3}
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| | | Math 337 | Linear Algebra (3-0-3) | | | | Phys 430 | Classical Mechanics I (3-0-3) | | | | Phys 432 | Electromagnetism I (3-0-3) | | | | Math 240 | Numerical Mathematics Laboratory (3-0-3) | | | | Math 332 | Introduction to Functions of a Complex Variable (3-0-3) | | | | HUM | (>300Eng/Lit/Hist/Phil/STS:GUR) (3-0-3) |
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2nd Semester:
math340,math331,phys442,{Phys/OPSE;Physics/OPSE Elective;3-0-3},mtse301[p3]
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| | | Math 340 | Applied Numerical Methods (3-0-3) | | | | Math 331 | Introduction to Partial Differential Equations (3-0-3) | | | | Phys 442 | Introduction to Quantum Mechanics (3-0-3) | | | | Phys/OPSE | (Physics/OPSE Elective) (3-0-3) | | | *** | MtSE 301 | Principles of Material Science and Engineering (3-0-3) |
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FOURTH YEAR: 1st Semester:
math480,{Phys/OPSE;Physics/OPSE Elective;3-0-3},math473,{HUM;>300 Lit/Hist/Phil/STS:GUR;3-0-3},math450h
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| | | Math 480 | Introductory Mathematical Analysis (3-0-3) | | | | Phys/OPSE | (Physics/OPSE Elective) (3-0-3) | | | | Math 473 | Intermediate Differential Equations (3-0-3) | | | | HUM | (>300 Lit/Hist/Phil/STS:GUR) (3-0-3) | | | | Math 450H | Methods of Applied Mathematics I (Capstone I) (3-0-3) |
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2nd Semester:
mgmt390,{HSS40X;Capstone Seminar:GUR;3-0-3},{ET II;Physics/OPSE Elective satisfying ET II:GUR;3-0-3},math451h,{Phys/OPSE;Physics/OPSE Elective;3-0-3}[p4]
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| | | Mgmt 390 | Principles of Management (3-0-3) | | | | HSS40X | (Capstone Seminar:GUR) (3-0-3) | | | | ET II | (Physics/OPSE Elective satisfying ET II:GUR) (3-0-3) | | | | Math 451H | Methods of Applied Mathematics II (Capstone II) ( 3-0-3) | | | **** | Phys/OPSE | (Physics/OPSE Elective) (3-0-3) |
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* Can be replaced with Math 333 Probability and Statistics (3-0-3)
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** or approved course at Rutgers-Newark
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*** 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.
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**** 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.
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