academic-catalog2011.. - LAU Publications - Lebanese American ...
academic-catalog2011.. - LAU Publications - Lebanese American ... academic-catalog2011.. - LAU Publications - Lebanese American ...
Department of Computer Science and Mathematics C. Hardware and Networks CSC731 High Performance Computer Architecture 3 CSC732 ULSI Testing 3 CSC733 Embedded Systems 3 CSC734 Advanced Computer Networks 3 CSC736 Networks Security 3 CSC737 Pervasive Computing and Wireless Networking 3 D. Software Engineering CSC791 Advanced Software Engineering 3 CSC792 Object-Oriented Software Engineering 3 CSC793 Software Testing and Analysis 3 CSC794 Software Quality Assurance 3 CSC795 Safety-Critical Systems 3 CSC796 Human–Computer Interaction 3 CSC788 Advanced Topics in Computer Science (in any of the four concentration areas; may be repeated) Mathematics programs BACHELOR OF SCIENCE (B.S.) IN MATHEMATICS MISSION The mission of the Mathematics Program is to offer quality and broad education in mathematics, supported by a foundation in the liberal arts. The program aims at providing its graduates with the knowledge and skills to teach at all school levels, and to pursue higher degrees in mathematics and other related fields. EDUCATIONAL OBJECTIVES The proposed curriculum provides the students with a strong background in the skills of logic, reasoning, critical thinking, and technology. More particularly, the curriculum: 1. Covers the traditional aspect of a mathematics major and supplements the students with courses covering contemporary mathematical topics 2. Offers a combination of pure and applied mathematics 3. Permits the students to obtain a broad exposure to those fields of mathematics that are useful in the physical sciences, engineering, and others 3 4. Provides specific courses designed for students who plan to become teachers of mathematics 5. Provides the appropriate mathematical background for students who wish to pursue graduate studies in mathematics or other related fields. LEARNING OUTCOMES Students who successfully complete the mathematics major will be able to: 1. Exhibit an understanding of the nature of mathematics. 2. Reason with abstract concepts. 3. Follow complex mathematical arguments and develop mathematical arguments of their own. 4. Understand and assess mathematical proofs and construct appropriate mathematical proofs of their own. 5. Communicate mathematical ideas, proofs and conclusions successfully. 6. Understand the branches of mathematics and how they are related. 7. Demonstrate knowledge of essential areas in mathematics such as algebra, analysis, and probability and statistics, with the opportunity to become acquainted with the fields of number theory, mathematical logic, combinatorics, geometry and topology. 8. Demonstrate knowledge of applied mathematics such as dynamical systems, numerical analysis and graph theory. 9. Use their understanding of some of the more advanced ideas within mathematics development of their capability for working with abstract concepts. 10. Perform mathematical computations using a computer package when appropriate. 11. Work effectively in a professional workplace related to mathematics or in a graduate program. CURRICULUM REQUIREMENTS The Program requirements consist of a minimum of 92 credits. The major core requirements consist of 9 mathematics courses (27 credits), 6 additional mathematics courses (18 credits) to be chosen from a list of elective courses, one course in computer science (3 credits), and 2 courses chosen from a list of restricted electives (6 credits), and 4 credits of free electives. ACADEMIC CATALOG [ 2011-2012 ] SCHOOL OF ARTS AND SCIENCES 109
Department of Computer Science and Mathematics I. Mathematics Core Courses (27 credits) MTH 201 Calculus III 3 MTH 207 Discrete Structures I 3 MTH 301 Linear Algebra 3 MTH 305 Probability and Statistics 3 MTH 311 Abstract Algebra 3 MTH 401 Real Analysis I 3 MTH 404 Introduction to Topology 3 MTH 403 Introduction to Complex Analysis 3 Choose one of: MTH 410 Real Analysis 2 3 MTH 411 Advanced Topics in Abstract Algebra 3 II. Mathematics Electives (Choose 6 courses; total 18 credits) MTH 206 Calculus IV 3 MTH 302 Geometry 3 MTH 303 Numerical Methods 3 MTH 304 Differential Equations 3 MTH 306 Nonlinear Dynamics and Chaos 3 MTH 308 Number Theory 3 MTH 309 Graph Theory 3 MTH 310 Set Theory 3 MTH 400 Advanced Linear Algebra 3 MTH 410 Real Analysis 2 3 MTH 411 Advanced Topics in Abstract Algebra 3 MTH 498 Topics in Mathematics 3 III. Computer Science Requirement (total 3 credits) CSC 243 Object Oriented Programming 3 IV. Restricted Electives (total 9 credits) Students are required to complete nine credits numbered 200 and above from Actuarial Science, Natural Sciences, Computer Science, Engineering, and Business. The following is a suggested list of courses: MTH 402 Theory of Interest, MTH 406 Life Contingencies I, MTH 403 Life Contingencies II, FIN 321 Introduction to Insurance; MIS 211 and MIS 212 Management Information Systems 1 and 2; CIE 200 Statics; CIE 202 Mechanics of Materials; ELE 201and 202 Electrical Circuits 1 and 2; INE 302 Linear Programming; MEE 241 Dynamics; MEE 320 Strength of Materials. SUGGESTED THREE-YEAR STUDY PLAN: Year I Fall MTH201 Calculus III MTH207 Discrete Structures I CSC201 Computer Applications CSC243 Object Oriented Programming ARA2--/3-- ENG202 Sophomore Rhetoric Lebanese Total American 16cr University | page 110 Spring MTH301 MTH305 Total Summer ENG 203 ETH 201 PED--- Total Linear Algebra Probability and Statistics Math Elective Restricted Elective Liberal Arts Elective 15cr Oral Communication Moral Reasoning 5cr Year II Fall MTH401 Real Analysis 1 MTH311 Abstract Algebra HLT201 Basic Health Math Elective Math Elective Total 13cr Spring MTH403 MTH409 Total Summer Total Introduction to Complex Analysis Introduction to Topology Math Elective Liberal Arts Elective Liberal Arts Elective 15cr Liberal Arts Elective Free Elective (PED…) 4cr Year III Fall MTH410 Real Analysis 2 Math Elective Liberal Arts Elective Liberal Arts Elective Total 12cr Spring Total Math Elective Liberal Arts Elective Restricted Elective Free Elective 12cr
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Department of Computer Science and Mathematics<br />
I. Mathematics Core Courses (27 credits)<br />
MTH 201 Calculus III 3<br />
MTH 207 Discrete Structures I 3<br />
MTH 301 Linear Algebra 3<br />
MTH 305 Probability and Statistics 3<br />
MTH 311 Abstract Algebra 3<br />
MTH 401 Real Analysis I 3<br />
MTH 404 Introduction to Topology 3<br />
MTH 403 Introduction to Complex Analysis 3<br />
Choose one of:<br />
MTH 410 Real Analysis 2 3<br />
MTH 411<br />
Advanced Topics in Abstract<br />
Algebra<br />
3<br />
II. Mathematics Electives<br />
(Choose 6 courses; total 18 credits)<br />
MTH 206 Calculus IV 3<br />
MTH 302 Geometry 3<br />
MTH 303 Numerical Methods 3<br />
MTH 304 Differential Equations 3<br />
MTH 306 Nonlinear Dynamics and Chaos 3<br />
MTH 308 Number Theory 3<br />
MTH 309 Graph Theory 3<br />
MTH 310 Set Theory 3<br />
MTH 400 Advanced Linear Algebra 3<br />
MTH 410 Real Analysis 2 3<br />
MTH 411<br />
Advanced Topics in Abstract<br />
Algebra<br />
3<br />
MTH 498 Topics in Mathematics 3<br />
III. Computer Science Requirement<br />
(total 3 credits)<br />
CSC 243 Object Oriented Programming 3<br />
IV. Restricted Electives (total 9 credits)<br />
Students are required to complete nine credits<br />
numbered 200 and above from Actuarial Science,<br />
Natural Sciences, Computer Science, Engineering,<br />
and Business. The following is a suggested list of<br />
courses: MTH 402 Theory of Interest, MTH 406<br />
Life Contingencies I, MTH 403 Life Contingencies<br />
II, FIN 321 Introduction to Insurance; MIS 211<br />
and MIS 212 Management Information Systems<br />
1 and 2; CIE 200 Statics; CIE 202 Mechanics of<br />
Materials; ELE 201and 202 Electrical Circuits 1<br />
and 2; INE 302 Linear Programming; MEE 241<br />
Dynamics; MEE 320 Strength of Materials.<br />
SUGGESTED THREE-YEAR STUDY PLAN:<br />
Year I<br />
Fall<br />
MTH201 Calculus III<br />
MTH207 Discrete Structures I<br />
CSC201 Computer Applications<br />
CSC243 Object Oriented Programming<br />
ARA2--/3--<br />
ENG202 Sophomore Rhetoric<br />
<strong>Lebanese</strong> Total <strong>American</strong> 16cr University | page 110<br />
Spring<br />
MTH301<br />
MTH305<br />
Total<br />
Summer<br />
ENG 203<br />
ETH 201<br />
PED---<br />
Total<br />
Linear Algebra<br />
Probability and Statistics<br />
Math Elective<br />
Restricted Elective<br />
Liberal Arts Elective<br />
15cr<br />
Oral Communication<br />
Moral Reasoning<br />
5cr<br />
Year II<br />
Fall<br />
MTH401 Real Analysis 1<br />
MTH311 Abstract Algebra<br />
HLT201 Basic Health<br />
Math Elective<br />
Math Elective<br />
Total 13cr<br />
Spring<br />
MTH403<br />
MTH409<br />
Total<br />
Summer<br />
Total<br />
Introduction to Complex Analysis<br />
Introduction to Topology<br />
Math Elective<br />
Liberal Arts Elective<br />
Liberal Arts Elective<br />
15cr<br />
Liberal Arts Elective<br />
Free Elective (PED…)<br />
4cr<br />
Year III<br />
Fall<br />
MTH410 Real Analysis 2<br />
Math Elective<br />
Liberal Arts Elective<br />
Liberal Arts Elective<br />
Total 12cr<br />
Spring<br />
Total<br />
Math Elective<br />
Liberal Arts Elective<br />
Restricted Elective<br />
Free Elective<br />
12cr
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