2008-2009 Academic Catalog

Science and Mathematics School of Natural and Applied Sciences Science and Mathematics 168 Cedarville University 2008–09 Mathematics – Bachelor of Science The Bachelor of Science degree with a major in mathematics prepares students for graduate study in mathematics. The curriculum includes the course requirements prescribed by many of the leading graduate-level mathematics programs in the nation. Students should include courses in astronomy, chemistry, and physics as general electives. Course requirements involve 69 hours: Mathematics Core Requirements.............................................48 CS-1210 C++ Programming...................................................... 2 MATH-1710, 1720, 2710 Calculus I, II, III ............................... 13 MATH-1990 Beautiful Math Structures and Thinking. ............... 3 MATH-2210 Logic and Methods of Proof................................... 3 MATH-2740 Differential Equations............................................. 3 MATH-2800 LaTeX for Technical Documents ........................... 1 MATH-3610 Linear Algebra....................................................... 3 MATH-3800 Research Methods................................................ 1 MATH- 4610 Abstract Algebra I................................................. 3 MATH-4710 Real Variables I..................................................... 3 *MATH-4800 Capstone Experience in Mathematics................. 3 PHYS-2110, 2120, 2130 General Physics I, II, III.................... 10 Electives (meeting the following criteria) ...............................21 Applied courses (at least six hours from the following applied courses)............................................................. 6-15 MATH-3110, 4110 Probability and Statistics I, II..................6 MATH-3550 Discrete Mathematics: Graph Theory.............3 MATH-3640 Introduction to Operations Research..............3 MATH-3750 Introduction to Dynamical Systems.................3 MATH-3760 Numerical Analysis ........................................3 MATH-4210 Mathematical Methods for Physicists..............3 MATH-4880 Topics in Mathematics.................................1-3 MATH-4900 Independent Study in Mathematics.............1-3 Theoretical Courses (at least six hours from the following theoretical courses)....................................................... 6-15 MATH-3500 Number Theory...............................................3 MATH-3550 Discrete Mathematics: Graph Theory.............3 MATH-3560 Discrete Mathematics: Combinatorics............3 MATH-3710 Advanced Calculus.........................................3 MATH-3740 Complex Variables..........................................3 MATH-4410 Euclidean and Non-Euclidean Geometry.......3 MATH-4450 Topology.........................................................3 MATH-4620 Abstract Algebra II..........................................3 MATH-4720 Real Variables II..............................................3 MATH-4880 Topics in Mathematics.................................1-3 MATH-4900 Independent Study in Mathematics.............1-3 *Capstone Course Mathematics Major (B.S.) Curriculum Summary Proficiency Requirements. ..........................................................0-5 General Education Requirements.............................................45.5 Mathematics Major Requirements...............................................69 Electives.................................................................................... 13.5 Total (minimum, not including proficiency)........................... 128 A complete description of the general education requirements is found on page 24. Suggested Four-Year Curriculum for a Major in Mathematics–B.S. First year: BEGE-1710 Christian Life and Thought.............................................3 BEGE-1720 Spiritual Formation.........................................................3 COM-1100 Fundamentals of Speech.................................................3 CS-1210 C++ Programming...............................................................2 ENG-1400 Composition.....................................................................3 HUM-1400 Introduction to the Humanities.........................................3 MATH-1710, 1720 Calculus I, II........................................................ 10 MATH-1990 Beautiful Math Structures and Thinking.........................3 MATH-2800 LaTeX for Technical Documents ....................................1 PEF-1990 Physical Activity and the Christian Life..............................1 Physical Education Activity Elective...................................................1 Total................................................................................................. 33 Second year: BEGE-2730 Old Testament Literature................................................3 BEGE-2740 New Testament Literature...............................................3 GSS-1100 Politics and American Culture...........................................3 MATH-2210 Logic and Methods of Proof. ..........................................3 MATH-2710 Calculus III. ....................................................................3 MATH-2740 Differential Equations. ....................................................3 MATH-3800 Research Methods in Mathematics................................1 PHYS-2110, 2120 General Physics I, II..............................................8 Literature Elective..............................................................................3 Total................................................................................................. 30 Third year: BEGE-3750 Christian Worldview Development.................................2 BEGE-3760 Christian Worldview Integration......................................2 GBIO-1000 Principles of Biology.....................................................3.5 MATH-3610 Linear Algebra................................................................3 MATH-4610 Abstract Algebra I...........................................................3 MATH-4710 Real Variables I..............................................................3 PHYS-2130 General Physics III.........................................................2 Humanities Elective. ..........................................................................3 Mathematics Electives.......................................................................6 Electives..........................................................................................4.5 Total................................................................................................. 32 Fourth year: MATH-4800 Capstone Experience in Mathematics............................3 History Elective..................................................................................3 Mathematics Electives..................................................................... 15 Social Science/Global Awareness Elective........................................3 Electives.............................................................................................9 Total................................................................................................. 33