College of Sciences Department of Mathematics and Computer Science. Assessment Plan Mathematics

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1 College of Sciences Department of athematics and Computer Science Programs: Assessment Plan athematics athematics offers the following instructional programs: 1. Bachelor of Science in athematics Option A 2. Bachelor of Science in athematics Option B, Applied athematics 3. Bachelor of Science in athematics Option C, athematics Teaching 4. aster of Science in athematics Option I 5. aster of Science in athematics Option II, athematics Teaching 6. aster of Science in athematics Option III, Applied ath Option Institutional Learning Outcomes (ILOs): Graduates of CSUEB will be able to: 1. think critically and creatively and apply analytical and quantitative reasoning to address complex challenges and everyday problems 2. communicate ideas, perspectives, and values clearly and persuasively while listening openly to others 3. apply knowledge of diversity and multicultural competencies to promote equity and social justice in our communities 4. work collaboratively and respectfully as members and leaders of diverse teams and communities 5. act responsibly and sustainably at local, national, and global levels 6. demonstrate expertise and integration of ideas, methods, theory and practice in a specialized discipline of study Program Learning Outcomes (PLOs): Bachelor of Science in athematics Students graduating with a Bachelor of Science in athematics will be able to: 1. Apply the definitions, techniques and theorems of abstract mathematics 2. Apply the definitions, techniques and theorems of applied mathematics 3. Apply mathematical algorithms to solve problems, both individually and in teams

2 4. Creatively conjecture and rigorously write, analyze and critique proofs 5. Communicate mathematics to others in written and/or oral form with precision, clarity and organization 6. Apply techniques of at least one area of mathematics in depth ILO #1 is addressed by PLOs #1-6 ILO #2 is addressed by PLOs #3 & 5 ILO #4 is addressed by PLO #3 & 5 ILO #6 is addressed by PLOs #1-6 Students taking Option B or C for the Bachelor in athematics receive focused emphasis on particular PLOs as follows: The Applied athematics Option emphasizes PLOs #2, 3 & 6 above. The athematics Teaching Option emphasizes #1, 2, & 5 above. asters of Science in athematics Students graduating with a asters of Science in athematics will be able to: 1. Students will be able to apply the fundamental definitions and theorems of pure mathematics 2. Students will be able to apply the fundamental definitions and theorems of applied mathematics 3. Students will be able to apply advanced techniques of mathematical analysis 4. Students will be able to apply techniques of advanced algebra 5. Students will be able to apply advanced techniques of geometry and topology 6. Students will be able to use mathematical algorithms ILO #1 is addressed by PLOs #1-6 ILO #2 is addressed by PLOs #1 & 2 ILO #4 is addressed by PLO #3-5 ILO #6 is addressed by PLOs #1-6 Students taking Option B or C for the asters in athematics receive focused emphasis on particular PLOs as follows: The Applied athematics Option emphasizes PLOs #2, 3 & 6 above. The athematics Teaching Option emphasizes #1, 2, 4 & 5 above.

3 Degree aps (Course by Program): SEE APPENDIX I Curricular aps (Course by PLO): Bachelor of Science in athematics SEE APPENDIX II Bachelor of Science in athematics with Applied ath Option SEE APPENDIX III Bachelor of Science in athematics with ath Teaching Option SEE APPENDIX IV

4 APPENDIX I Assessed through athematics B.S. program Assessed through athematics.s. program Assessed by other programs, or a KEY: R course is required by the program S course is in an elective sequence * course is an elective in the program B.S. in athematics Options Pure Applied Teaching Graduate Programs Pure Applied ath1110 The Nature of athematics for non-majors ath1130 College Algebra ath1300 Trigonometry and Analytic Geometry for non-majors ath1304 Calculus I R R R ath1305 Calculus II R R R ath1810 ath for Business and Social Sciences Service course for non-majors ath2011 Number Systems Service course for non-majors ath2101 Linear Algebra R R R ath2150 Discrete Structures R R R ath2304 Calculus III R R R ath2305 Calculus IV R R R ath3000 Intro to Abstract ath and Proofs R R R ath3100 Linear Algebra R R R ath3121 Abstract Algebra I R R R ath3122 Abstract Algebra II R S * ath3151 Combinatorics S S * ath3215 Geometry I S * R ath3300 Analysis I R R R ath3301 Analysis II R S * R ath 3320 Calculus of Vector Functions * * * ath3331 Differential Equations R R R ath3361 Ordinary Differential Equations S S * ath3600 Number Theory * * R ath3750 Numerical Analysis I S S * R ath3841 Linear Programming S S * R ath3865 athematical odeling * * * ath3875 athematical Physics * * * ath4012 Geometry and easure Service course for non-majors ath4013 Statistics, Data Analysis and Probability Service course for non-majors ath4014 Algebra and Functions Service course for non-majors ath4030 Advanced Study of School athematics Service course for non-majors

5 ath4040 History of athematics * * R ath4100 athematical Logic * * * ath4121 Advanced Algebra * * * R ath4151 Graph Theory * S * ath4215 Topics in Geometry S * S ath4235 Introduction to Knot Theory * * * ath4340 Introduction to Complex Variables * * * ath4350 Theory of Functions of a Real Variable * * * R ath4360 Introduction to Topology * * * R ath4361 Partial Differential Equations S S * ath4365 Dynamical Systems * * * ath4750 Numerical Analysis II S S * ath4841 Topics in Optimization S S * ath4842 Advanced Topics in Optimization * * * ath4850 Variational Calculus * * * ath4901 Senior Seminar * * R ath6025 Algebra for Teachers * * ath6035 Analysis for Teachers * * ath6055 Discrete athematics * * ath6065 Connections in athematics * * ath6100 Applied Algebra * S ath6121 Advanced Algebra S * ath6151 Graph Theory * * ath6201 Topology S * ath6210 Convex Polytopes * * ath6235 Knot Theory * * ath6250 Differential Geometry * * ath6331 Topics in Differential Equations * S ath6339 Intro to Complex Variables R * ath6340 Complex Analysis S * ath6350 Real Analysis S * Stats 6401 Advanced Probability * * ath6600 Advanced Number Theory * * ath6750 Topics in Advanced Numerical Analysis * S ath6841 Nonlinear Optimization * * ath6842 Advanced Topics in Optimization * * ath6865 athematical odeling * * The Bachelor of Science in athematics and the aster of Science in athematics require coursework in other programs such as Computer Science and Statistics as shown below.

6 Degree Components Not Offered Through athematics KEY: R course is required by the program * course is an elective in the program B.S. in athematics Options Pure ath Applied ath Teaching Graduate Programs ath Applied ath CS1160 Introduction to Computer Science I R R R CS4170 * * * CS4245 * * * CS6870 * S STAT3401 Introduction to Probability Theory * * R * R STAT3402 * * * * * STAT3502 * * * * * STAT3503 * * * * * STAT3601 * * * STAT4401 * * * * * STAT4515 * * * STAT4601 * * * STAT6401 S APPENDIX II B.S. in athematics I = PLO is Introduced Required course D = PLO is Developed Sequence choice = PLO is astered Elective ath1110 The Nature of athematics ath1130 College Algebra CS1160 Introduction to Computer Science I ath1300 Trigonometry and Analytic Geometry ath1304 Calculus I I I I ath1305 Calculus II I I I ath1810 ath for Business and Social Sciences ath2011 Number Systems ath2101 Linear Algebra I I I ath2150 Discrete Structures I I I ath2304 Calculus III I D I ath2305 Calculus IV D I I

7 ath3000 Intro to Abstract ath and Proofs D D D ath3100 Linear Algebra ath3121 Abstract Algebra I D D ath3122 Abstract Algebra II ath3151 Combinatorics D ath3215 Geometry I D D ath3300 Analysis I D D ath3301 Analysis II ath3331 Differential Equations D D ath3361 Ordinary Differential Equations ath3600 Number Theory ath3750 Numerical Analysis I ath3841 Linear Programming ath3865 athematical odeling ath3875 athematical Physics ath4012 Geometry and easure ath4013 Statistics, Data Analysis and Probability ath4014 Algebra and Functions ath4030 Advanced Study of School athematics ath4040 History of athematics ath4100 athematical Logic ath4121 Advanced Algebra ath4151 Graph Theory D ath4215 Topics in Geometry ath4235 Introduction to Knot Theory ath4340 Introduction to Complex Variables ath4350 Theory of Functions of a Real Variable ath4360 Introduction to Topology ath4361 Partial Differential Equations ath4365 Dynamical Systems ath4750 Numerical Analysis II ath4841 Topics in Optimization ath4842 Advanced Topics in Optimization ath4850 Variational Calculus ath4901 Senior Seminar

8 APPENDIX III B.S. in athematics - Applied Option I = PLO is Introduced Required course D = PLO is Developed Sequence choice = PLO is astered Elective ath1110 The Nature of athematics ath1130 College Algebra CS1160 Introduction to Computer Science I ath1300 Trigonometry and Analytic Geometry ath1304 Calculus I I I I ath1305 Calculus II I I I ath1810 ath for Business and Social Sciences ath2011 Number Systems ath2101 Linear Algebra I I I ath2150 Discrete Structures I I I ath2304 Calculus III I D I ath2305 Calculus IV D I I ath3000 Intro to Abstract ath and Proofs D D D ath3100 Linear Algebra ath3121 Abstract Algebra I D D ath3122 Abstract Algebra II ath3151 Combinatorics D ath3215 Geometry I D D ath3300 Analysis I D D ath3301 Analysis II ath3331 Differential Equations D D ath3361 Ordinary Differential Equations ath3600 Number Theory ath3750 Numerical Analysis I ath3841 Linear Programming ath3865 athematical odeling ath3875 athematical Physics ath4012 Geometry and easure ath4013 Statistics, Data Analysis and Probability ath4014 Algebra and Functions ath4030 Advanced Study of School athematics ath4040 History of athematics ath4100 athematical Logic ath4121 Advanced Algebra ath4151 Graph Theory D ath4215 Topics in Geometry

9 ath4235 Introduction to Knot Theory ath4340 Introduction to Complex Variables ath4350 Theory of Functions of a Real Variable ath4360 Introduction to Topology ath4361 Partial Differential Equations ath4365 Dynamical Systems ath4750 Numerical Analysis II ath4841 Topics in Optimization ath4842 Advanced Topics in Optimization ath4850 Variational Calculus ath4901 Senior Seminar APPENDIX IV B.S. in athematics - Teaching Option I = PLO is Introduced Required course D = PLO is Developed Sequence choice = PLO is astered Elective ath1110 The Nature of athematics ath1130 College Algebra CS1160 Introduction to Computer Science I ath1300 Trigonometry and Analytic Geometry ath1304 Calculus I I I I ath1305 Calculus II I I I ath1810 ath for Business and Social Sciences ath2011 Number Systems ath2101 Linear Algebra I I ath2150 Discrete Structures I I I ath2304 Calculus III I D I ath2305 Calculus IV D I ath3000 Intro to Abstract ath and Proofs D D D ath3100 Linear Algebra ath3121 Abstract Algebra I D D ath3122 Abstract Algebra II ath3151 Combinatorics D ath3215 Geometry I D D ath3300 Analysis I D D ath3301 Analysis II ath3331 Differential Equations D D ath3361 Ordinary Differential Equations ath3600 Number Theory ath3750 Numerical Analysis I ath3841 Linear Programming

10 ath3865 athematical odeling ath3875 athematical Physics ath4012 Geometry and easure ath4013 Statistics, Data Analysis and Probability ath4014 Algebra and Functions ath4030 Advanced Study of School athematics ath4040 History of athematics ath4100 athematical Logic ath4121 Advanced Algebra ath4151 Graph Theory D ath4215 Topics in Geometry ath4235 Introduction to Knot Theory ath4340 Introduction to Complex Variables ath4350 Theory of Functions of a Real Variable ath4360 Introduction to Topology ath4361 Partial Differential Equations ath4365 Dynamical Systems ath4750 Numerical Analysis II ath4841 Topics in Optimization ath4842 Advanced Topics in Optimization ath4850 Variational Calculus ath4901 Senior Seminar Stat 3401 Intro to Probability

11 APPENDIX V.S. in athematics - Pure Option I = PLO is Introduced Required course D = PLO is Developed Sequence choice = PLO is astered Elective ath4121 Advanced Algebra Assessed in Undergrad Plan ath4350 Theory of Functions of a Real Variable Assessed in Undergrad Plan ath4360 Introduction to Topology Assessed in Undergrad Plan ath6025 Algebra for Teachers I I ath6035 Analysis for Teachers I ath6055 Discrete athematics I I ath6065 Connections in athematics D D D ath6100 Applied Algebra D D ath6121 Advanced Algebra ath6151 Graph Theory D D D ath6201 Topology ath6210 Convex Polytopes ath6235 Knot Theory I I ath6250 Differential Geometry ath6331 Topics in Differential Equations ath6339 Intro to Complex Variables D D ath6340 Complex Analysis ath6350 Real Analysis ath6600 Advanced Number Theory D D ath6750 Topics in Advanced Numerical Analysis D D ath6841 Nonlinear Optimization D D ath6842 Advanced Topics in Optimization ath6865 athematical odeling I I

12 APPENDIX VI.S. in athematics - Applied Option I = PLO is Introduced Required course D = PLO is Developed Sequence choice = PLO is astered Elective ath3301 Analysis II Assessed in Undergrad Plan ath4401 Introduction to Probability Theory Assessed in Undergrad Plan ath3750 Numerical Analysis I Assessed in Undergrad Plan ath3841 Linear Programming Assessed in Undergrad Plan ath6025 Algebra for Teachers I I ath6035 Analysis for Teachers I ath6055 Discrete athematics I I ath6065 Connections in athematics D D D ath6100 Applied Algebra D D ath6121 Advanced Algebra ath6151 Graph Theory D D D ath6201 Topology ath6210 Convex Polytopes ath6235 Knot Theory I I ath6250 Differential Geometry ath6331 Topics in Differential Equations ath6339 Intro to Complex Variables D D ath6340 Complex Analysis ath6350 Real Analysis Stats 6401 Advanced Probability Assessed by Stats Dept ath6600 Advanced Number Theory D D ath6750 Topics in Advanced Numerical Analysis D D ath6841 Nonlinear Optimization D D ath6842 Advanced Topics in Optimization ath6865 athematical odeling I I CS6870 Computer Simulation Assessed in CS Plan