College of the Redwoods Associate in Arts in Mathematics for Transfer CCC-501 Narrative Requirements Criteria A. Appropriateness to Mission 1. Statement of Program Goals and Objectives The goal of the Math Department in designing this Associate in Arts in Mathematics for Transfer is to prepare students to transfer to a California State University in order to complete a baccalaureate degree in mathematics. Such preparation includes the following objectives: students should be able to read, write, and speak accurately about mathematical ideas and use correct mathematical notation; students should possess technical competence including uses of calculus, linear systems, and/or differential equations; students should be able to use technology to visualize functions, explore mathematical concepts, and solve problems; students should be able to use numerical, graphical, symbolic, and verbal representations to communicate with others in both written and oral form; students should also possess a fundamental understanding of mathematics theory including applications of calculus and linear systems, relations of algebraic systems and classical problems, and roles of definitions, theorems, and proofs in algebra and analysis. 2. Catalog Description A student may earn an Associate in Arts in Mathematics for Transfer pending CCCCO approval. The Associate in Arts in Mathematics for Transfer is intended for students who plan to complete a bachelor’s degree in Mathematics at a CSU campus. Students completing the Associate in Arts in Mathematics for Transfer degree are guaranteed admission to the CSU system, but not to a particular campus or major. This preparation includes the following student learning outcomes: 1) students should be able to read, write, and speak accurately about mathematical ideas and use correct mathematical notation; 2) students should possess technical competence including uses of calculus, linear systems, and/or differential equations; 3) students should be able to use technology to visualize functions, explore mathematical concepts, and solve problems; 4) students should be able to use numerical, graphical, symbolic, and verbal representations to communicate with others in both written and oral form; 5) students should also possess a fundamental understanding of mathematics theory including applications of calculus and linear systems, relations of algebraic systems and classical problems, and roles of definitions, theorems, and proofs in algebra and analysis. Students transferring to a CSU campus that does accept the Associate in Arts in Mathematics for Transfer will be required to complete no more than 60 units after transfer to earn a bachelor’s degree. To meet the requirements for this degree the students must: 1. Complete a minimum of 60 CSU-transferable semester units. 2. Have a minimum grade point average (GPA) of at least 2.0 in all CSU-transferable coursework. While a minimum of 2.0 is required for admission, some majors may require a higher GPA. Please consult with a counselor for more information. 3. Complete a minimum of 18 semester units in the major coursework. All courses in the major must be completed with a grade of C or better or a “P” if the course is taken on a “pass-no pass” basis (title 5 § 55063). 4. Complete a minimum of 39 units in the California State University General Education-Breadth pattern (CSU GE Breadth); OR 39-41 units in the Intersegmental General Education Transfer Curriculum (IGETC) pattern. 1 College of the Redwoods AA-T Mathematics This degree may not be the best option for students intending to transfer to a particular CSU campus or to a university or college that is not part of the CSU system. In all cases, students should consult with a counselor for more information on university admission and transfer requirements. 3. Program Requirements The following is required for all AA degrees for transfer: Associate in Arts in Mathematics for Transfer Total Units Total Units Required for CSU GE or IGETC: Major Requirements Specific Courses (12.0 units from the following): MATH 50A* Differential Calculus MATH 50B Integral Calculus MATH 50C Multivariable Calculus Additional Courses (Take one course from the following): MATH 45 Linear Algebra MATH 55 Differential Equations Additional Courses (Take one course from the following): MATH 4 MATLAB Programming MATH 45 Linear Algebra MATH 55 Differential Equations UNITS 60.0 39.0-41.0 19.0-20.0 12.0 4.0 4.0 4.0 4.0 4.0 3.0 4.0 4.0 *Course with an asterisk can be double counted to General Education. 4. Background and Rationale The College of the Redwoods Department of Mathematics reached consensus regarding the alignment of its courses with the Associate in Arts in Mathematics for Transfer. The decision of which courses to include was based on mathematics programs offered at California State University System campuses and on courses available in the College of the Redwoods mathematics curriculum. Criteria B. Need 5. Enrollment and Completer Projections NA 6. Place of Program in Curriculum/Similar Programs The Associate in Arts in Mathematics for Transfer will be housed in the math department. The College of the Redwoods also has an Associate in Liberal Arts in Mathematics degree within its math department. Students may choose to take either degree. Upon completion of the Associate in Arts in 2 College of the Redwoods AA-T Mathematics Mathematics for Transfer the student will have a guaranteed track into the California State University transfer in mathematics. Criteria C. Curriculum Standards 13. NA 14. NA Criteria D. Adequate Resources 15-17. No additional resources will be required beyond the college’s regular expenditures in the areas of library and learning resources, facilities and equipment, or additional financial support. 18. Faculty Qualifications and Availability All faculty who will teach in this program meet the state mandated minimum requirements. Criteria E. Compliance 19. Based on Model Curriculum The Associate in Arts in Mathematics for Transfer is based on curriculum generated by Senate Bill 1440 compliant Transfer Model Curriculum. 20. Licensing or Accreditation Standards No additional licensing or accreditation standards will be required for the Associate in Arts in Mathematics for Transfer. 21. Student Selection and Fees No separate selection process or additional fees will be required for the Associate in Arts in Mathematics for Transfer. 3 College of the Redwoods AA-T Mathematics Mathematics Transfer Model Curriculum CCC Major or Area of Emphasis: Mathematics CSU Major or Majors: Mathematics Total units: 18-23 (all units are semester units) Rev. 5/23/2011 Template #2001 In the four columns on the right, enter the course identifier, course title and number of units of a course that is comparable to the course indicated for the TMC (in the far left column). If the course may be double-counted, put an X in the GE column. The units indicated in the TMC are semester units – and they are minimum units. All courses must be CSU transferable. Where there is an indicated C-ID descriptor, you are certifying that your course is comparable. Where no reference descriptor is indicated, discipline faculty should compare the existing course to the sample course description(s) provided in the TMC at http://www.c-id.net/degreereview.html and attach the appropriate report from ASSIST showing the required transferability status (i.e., CSU transferable, general education, or major preparation at CSU). Mathematics Transfer Model Curriculum Course Title (units) Required Core: 12-15 units from one of the following options: Option 1 (all of the following): Calculus I (4-5) Calculus II (4-5) Calculus III (4-5) or Option 2 (all of the following): Single Variable Calculus Sequence (2 semester/3 quarters for ≥8 units) Calculus III (4-5) or Option 3: Single Variable and Multivariable Calculus Sequence (3 semester/4 quarters for ≥12 units) List A: One course from the following: Differential Equations (3-4) Linear Algebra (3-4) Introduction to Differential Equations and Linear Algebra (minimum of 5) List B: One course from the following: Differential Equations or Linear Algebra if not used above. (3-5) Discrete Math (algebra based) (3) Physics (articulated as preparation for the physics major at a CSU) (4) Mathematical Computing Systems (1) Any computer programming course that has articulation as major preparation for the math major at a CSU. (3) Proof (3) Statistics (3) Total Units for the Major: C-ID (or TCSU) Designation Math 210 or 211 Math 220 or 221 Math 230 Associate in Science degree in Mathematics for Transfer College Name: College of the Redwoods Program Requirements Course ID Course Title Units Math 50A Math 50B Math 50C Differential Calculus Integral Calculus Multivariable Calculus 4 4 4 Math 240 Math 250 Math 55 Math 45 Differential Equations Linear Algebra 4 4 Math 240 or Math 250 Math 55 Math 45 Differential Equations Linear Algebra 4 4 Math 4 MATLAB Programming 3 GE Math 900 Math 230 i Physics 205 Stat 120 (TCSU) 18 - 23 Total Units for the Major: 19-20 Total Units that may be double-counted: Note: When selecting 4-5 unit courses for the Associate in Science in Mathematics for Transfer, keep in mind that you may not require more than 60 units for the entire degree. i If a C-ID descriptor has been finalized, it may be entered in this column. http://www.c-id.net/descriptors/view_final 4