Catalog 73 - National University

College of Letters and Sciences◆ MAJOR IN MATHEMATICS WITH APRELIMINARY SINGLE SUBJECT CREDENTIAL(CALIFORNIA)(610-105-205)Faculty Advisor: For Mathematics B.A.: Igor Subbotin • (310) 662-2150 •isubboti@nu.eduFor Credential: Zhonghe Wu • (310) 662-2134 • zwu@nu.eduThe Bachelor of Art in Mathematics with a Preliminary Single SubjectCredential provides a rigorous education that prepares candidatesfor a career as a teacher of Mathematics at the middle and secondaryschool levels. The program stresses foundation in mathematics andits application. This program prepares candidates for professionalwork as single subject teachers in a changing cultural and economicenvironment. All candidates must take the CBEST or other BasicSkills option prior to Admission and pass the examination beforestudent teaching. CSET passage is also required before studentteaching.Program Learning OutcomesUpon successful completion of this program, students will be able to:• Employ a variety of reasoning skills and effective strategies forsolving problems both within the discipline of mathematics and inapplied settings that include non-routine situations• Use language and mathematical symbols to communicatemathematical ideas in the connections and interplay amongvarious mathematical topics and their applications that coverrange of phenomena across appropriate disciplines• Use current technology tools, such as computers, calculators,graphing utilities, video, and interactive programs that isappropriate for the research and study in mathematics• Employ algebra and number theory ideas and tools as a base of afundamental language of mathematics research andcommunication• Develop fundamental knowledge in geometry• Model real world problems with a variety of algebraic andtranscendental functions in order to translate between the tabular,symbolic, and graphical representation of functions• Use advanced statistics and probability concepts and methods toanalyze and study different real-world problems• Demonstrate application of educational technology to meet theneeds of all learners including those with special needslinguistically and culturally diverse students.• Demonstrate knowledge of adolescent development in order toexplain how to support growth in cognitive, social, physical andemotional domains.• Demonstrate a thorough understanding of the learning needs ofstudents to create positive learning environment that ensurehealthy human growth.• Utilize systematic observations, documentation, and othereffective assessment strategies in a responsible manner to facilitateand account for learning and to support positive growth.• Design, implement, and evaluate standards-based lesson plans forlearning and achievement in content areas.• Demonstrate professional standards and ethics.Degree RequirementsTo receive a Bachelor of Art in Mathematics with a Single SubjectTeaching Credential, candidates must complete at least 180 quarterunits as articulated below, 45 of which must be completed inresidence at National University and 76.5 of which must becompleted at the upper-division level. In the absence of transfercredit, additional general electives may be necessary to satisfy totalunits for the degree. The following courses are specific degreerequirements. Students should refer to the section onundergraduate admission procedures for specific information on100admission and evaluation.Preparation for the Major(6 courses; 27 quarter units)MTH 210 Probability and Statistics(Prerequisite: Placement Evaluation)MTH 215 College Algebra(Prerequisite: Placement Evaluation)orMTH 216A College Algebra I (3 quarter units)(Prerequisite: Placement Evaluation)andMTH 216B College Algebra II (3 quarter units)(Prerequisite: Placement Evaluation)MTH 220orCSC 208MTH 221MTH 222MTH 223Calculus I(Prerequisites: MTH 215, or 216 A/B, or PlacementEvaluation)Calculus for Comp Science I(Prerequisite: MTH 215)Calculus II(Prerequisite: MTH 220)Calculus III(Prerequisite: MTH 221)Calculus IV(Prerequisite: MTH 222)Requirements for the Major(21 courses; 94.5 quarter units)Passage of Basic Skills requirement and completion of TED 305 isrequired before taking any other TED courses required for the major.Mathematics Requirements(9 courses; 40.5 quarter units)MTH 311MTH 325orCSC 331MTH 411MTH 435MTH 416MTH 417MTH 418MTH 412MTH 410Topics from Geometry(Prerequisites: MTH 215/MTH 216B or placementevaluation)Discrete Mathematics(Prerequisites: MTH 215/MTH 216 B, or placementevaluation)Discrete Structures and Logic(Prerequisite: CSC 252, CSC 310)Number Theory(Prerequisites: MTH 215 or 216 B or 209A or placementevaluation)Linear Algebra(Prerequisites: MTH 325 and MTH 220)Algebraic Structures(Prerequisites: MTH 325 and MTH 435)Foundations of Geometry(Prerequisites: MTH 215/216B and MTH 311)Statistical Analysis(Prerequisites: MTH 210 and MTH 223)History of Mathematics(Prerequisites: MTH 215/MTH 216B, or MTH 301)Technology in Math Education(Prerequisites: MTH 215/ MTH 216 B or MTH 301)Education Theory and Methodology Requirements(7 courses; 31.5 quarter units)• Students must complete TED 305 prior to TPA 1.• Students must satisfy all Teacher Performance Assessment (TPA)