# Bachelor of Science in Foundational Mathematics

The foundational mathematics major is designed for students who want to teach math at the middle/high school level. This is a unique program, combining the foundations of a classical study of mathematics with the enhancements of courses in education theory and methods. If you enjoy logic puzzles, the study of shapes and space and solving problems, as well as learn how to be a caring and intuitive math teacher, then this program is for you.

### Why CBU?

Foundational mathematics is CBU’s response to California’s need for math teachers. The graduate of this program will be exempt from the first two parts of the California Subject Examination for Teachers in mathematics. Another benefit includes completing prerequisites for a teaching credential.

### Career Opportunities

**Middle school math teacher****High school math teacher**

### Links

- http://teachcalifornia.org/
- http://www.bls.gov/ooh/education-training-and-library/middle-school-teachers.htm
- http://www.ctc.ca.gov/

- Student Learning Outcomes
- Have a solid foundation of mathematical processes at a level comparable to that of students graduating with a BS in mathematics at other universities. Processes should include (but are not limited to) a proficiency in logic, problem solving, and methods of proof.
- Demonstrate their ability to apply mathematics in other fields at an appropriate level and demonstrate their ability to apply knowledge acquired from their major to real world models.
- Demonstrate mastery of abstract mathematical concepts, including rings and abstract algebra, and critical reasoning.
- Acquire up-to-date skills and/or applications of computer programming related to future career choices.
- Apply their knowledge of mathematics through an in-depth senior project/research experience. Results will be presented in both written (paper, publication, etc.) and visual (PowerPoint, poster, etc.) formats.
- Read, interpret, and critically analyze journal articles directed at undergraduate students.

- Career Opportunities
- Middle School or High School Math Teacher

## Foundational Mathematics Major (59–60 units) BS

## Lower Division Requirements

#### MAT101 Orientation to the Discipline

This course is designed to introduce students to the basic skills necessary for academic success in the discipline of Mathematics and to provide students with an overview of professions in which that major may be applied. Pass/Fail. (1 unit; Spring)

MAT101-AWillett, Robert James |
01/09/2018 | - | Online |

#### MAT125 Math Concepts & Applications I

This course will include instruction in the following areas: critical thinking, sets, systems of numeration, number theory, the real number system, algebra, graphs, and functions. Students will analyze complex problems, apply logical reasoning techniques learned from the above-mentioned areas, evaluate the truth of mathematical statements, and apply different solution strategies. This course will partially fulfill the requirements for a Liberal Studies waiver. Prerequisite: MAT 115 or sufficient SAT, ACT or math placement exam scores and appropriate high school mathematics background. (3 units; Fall)

MAT125-ANielsen Hernandez, Michelle |
09/05/2017 | MWF | 9:30 AM - 10:30 AM | BUS 251 |

#### MAT127 Math Concepts & Applications II

This course will include instruction in the following areas: critical thinking, two and three dimensional geometry, representational systems, methods for determining measurement, statistics, data analysis, and probability. Students will analyze complex problems, apply logical reasoning techniques learned from the above-mentioned areas, evaluate the truth of mathematical statements, and apply different solution strategies. Prerequisite: MAT 125. (3 units; Spring)

MAT127-AMorris, Elizabeth Ann |
01/09/2018 | TTh | 8:45 AM - 10:15 AM | TBA |

#### MAT135 Pre-Calculus

This course is designed to prepare a student for Calculus I. It will include instruction in the following areas: Review of systems of equations and inequalities, functions and their graphs, sequences, induction, counting, probability, trigonometry, analytical geometry, and pre-calculus material. Prerequisite: MAT 115 or sufficient SAT, ACT or math placement exam scores and appropriate high school mathematics background. (3 units; Fall/Spring)

MAT135-ASill, Michael R. |
09/05/2017 | TTh | 10:30 AM - 12:00 PM | Health Science Campus L244 |

MAT135-ACordero, Ricardo J. |
01/09/2018 | MWF | 12:00 PM - 1:00 PM | TBA |

#### MAT245 Analytical Geometry & Calculus I

Basic concepts of analytical geometry, limits and derivatives, differentials and rates, integration, definite and indefinite integrals, differentiation of logarithmic and exponential functions. Prerequisite: MAT 135, 145, EGR 182, or sufficient SAT, ACT or math placement exam scores and appropriate high school mathematics background. (4 units; Fall/Spring)

MAT245-DErickson, Sheraya Linn |
09/05/2017 | MWF | 8:45 AM - 9:30 AM | Yeager Center B222 |

MAT245-EErickson, Sheraya Linn |
09/05/2017 | MWF | 9:30 AM - 10:15 AM | Yeager Center B222 |

MAT245-ACordero, Ricardo J. |
09/05/2017 | MWF | 7:00 AM - 7:45 AM | BUS 103 |

MAT245-CCordero, Ricardo J. |
09/05/2017 | Th | 8:15 AM - 9:15 AM | BUS 123 |

MAT245-BCordero, Ricardo J. |
09/05/2017 | MWF | 7:45 AM - 8:30 AM | BUS 103 |

MAT245-CNielsen Hernandez, Michelle |
01/09/2018 | W | 9:30 AM - 10:30 AM | TBA |

MAT245-DNielsen Hernandez, Michelle |
01/09/2018 | W | 9:30 AM - 10:30 AM | TBA |

MAT245-ANielsen Hernandez, Michelle |
01/09/2018 | W | 8:15 AM - 9:15 AM | TBA |

MAT245-BNielsen Hernandez, Michelle |
01/09/2018 | W | 8:15 AM - 9:15 AM | TBA |

#### MAT250 Modelng & Apps of Calculus

The study of symbolic languages, such as Mathematics, Maple, and MATLAB, for the use and application in Calculus and modeling courses. Prerequisite: MAT 245. (2 units; Spring)M§·µQ¥©

MAT250-ASill, Michael R. |
01/09/2018 | WF | 12:00 PM - 1:00 PM | TBA |

#### MAT255 Anlytical Geometry & Calculus II

Continued study and applications of integration: volumes, lengths, surface of revolution; derivatives and integrals involving trigonometric functions, infinite series, expansion of functions, hyperbolic functions, law of the mean, indeterminate forms, partial fractions, polar coordinates, and conic sections. Prerequisite: MAT 245. (4 units; Fall/Spring)

MAT255-BWillett, Robert James |
09/05/2017 | MWF | 9:30 AM - 10:15 AM | BUS 252 |

MAT255-AWillett, Robert James |
09/05/2017 | MWF | 8:45 AM - 9:30 AM | BUS 252 |

MAT255-CWillett, Robert James |
09/05/2017 | T | 9:30 AM - 10:30 AM | Mission Hall 124 |

MAT255-DWillett, Robert James |
09/05/2017 | T | 1:15 PM - 2:15 PM | Yeager Center B219 |

MAT255-AWillett, Robert James |
01/09/2018 | MWF | 7:00 AM - 7:45 AM | TBA |

MAT255-BWillett, Robert James |
01/09/2018 | MWF | 7:45 AM - 8:30 AM | TBA |

MAT255-CSill, Michael R. |
01/09/2018 | T | 1:00 PM - 1:45 PM | TBA |

## Upper Division Requirements

#### EDU341 The Exceptional Child

The nature, determinants, adjustments, and problems of persons who have cognitive gifts and talents, cognitive delays, physical disabilities, learning disabilities, and who have emotional or behavior disorders will be studied in conjunction with appropriate educational interventions in the mainstream classroom and other settings. The course will acquaint students with (a) characteristics and needs of children with disabilities that affect learning, (b) methods of assessing disabilities, (c) components of the Individual Education Program (IEP), (d) instructional strategies and material, (e) positive behavior support, (f) special needs of families of learners with disabilities, (g) agencies and professional supporting learners with disabilities, and (h) legislation, including Public Law 94-142, IDEA (Part B and Part H), the American Disabilities Act (ADA), and the Rehabilitation Act of 1973 (Section 504), as well as subsequent amendments relevant to special education. Ten hours of fieldwork is required. A certificate of clearance is required prior to engaging in fieldwork. (3 units; Fall/Spring)

EDU341-AMcNair, Jeff L |
09/05/2017 | W | 4:30 PM - 6:55 PM | Yeager Center ONLN |

EDU341-AMcNair, Jeff L |
01/09/2018 | W | 4:30 PM - 6:55 PM | TBA ONLN |

#### EDU409 Educational Psychology

This course will equip candidates to appraise the relationship between the theories and practices of human development and teaching/learning methods. Specifically, candidates will examine the manner in which world view perspectives of developmental forces impact classroom policies and procedures. The role of assessment in determining student needs and designing appropriate pedagogical strategies will also be emphasized. This course will solidify understanding of the strengths-based approach to making the pedagogical decisions required in the TPA process. Four (4) hours of fieldwork is required. Prerequisite: Education Committee Acceptance. (3 units; Fall; Spring; Summer)

EDU409-DJones, Jason C. |
09/05/2017 | Th | 7:05 PM - 9:30 PM | Yeager Center ONLN |

EDU409-BMoss, Joshua P. |
09/05/2017 | T | 4:30 PM - 6:55 PM | Yeager Center ONLN |

EDU409-CJones, Jason C. |
09/05/2017 | Th | 4:30 PM - 6:55 PM | Yeager Center ONLN |

EDU409-AWilliams, Heather J. |
09/05/2017 | T | 4:30 PM - 6:55 PM | Yeager Center ONLN |

EDU409-ASTAFF, STAFF |
01/09/2018 | T | 4:30 PM - 6:55 PM | TBA ONLN |

EDU409-BSTAFF, STAFF |
01/09/2018 | T | 7:05 PM - 9:30 PM | TBA ONLN |

EDU409-ASTAFF, STAFF |
05/07/2018 | Th | 4:30 PM - 6:55 PM | TBA ONLN |

EDU409-BSTAFF, STAFF |
05/07/2018 | T | 7:05 PM - 9:30 PM | TBA ONLN |

#### EDU411 Theories&MethodsofTchngDivStdnts

This course will equip candidates with the theories and practices connected to working with diverse student populations. Candidates will examine the manner in which societal and cultural forces have impacted current perspectives of equity especially as they relate to special needs and English language learning students. The role of assessment in determining student needs and designing appropriate pedagogical strategies will also be emphasized. This course will solidify understanding of the strengths-based approach to making adaptations required in the TPA process. Ten (10) hours of fieldwork is required. Prerequisite: Credential Program Acceptance. (3 units; Fall; Spring; Summer)

EDU411-CFerko, Doreen J. |
09/05/2017 | Th | 4:30 PM - 6:55 PM | Yeager Center ONLN |

EDU411-APike, Rosenda A |
09/05/2017 | T | 4:30 PM - 6:55 PM | Yeager Center ONLN |

EDU411-BSanchez, John Pablo |
09/05/2017 | T | 7:05 PM - 9:30 PM | Yeager Center ONLN |

EDU411-DMcNair, Jeff L |
09/05/2017 | Th | 7:05 PM - 9:30 PM | Yeager Center ONLN |

EDU411-BSTAFF, STAFF |
01/09/2018 | T | 4:30 PM - 6:55 PM | TBA ONLN |

EDU411-ASTAFF, STAFF |
01/09/2018 | T | 7:05 PM - 9:30 PM | TBA ONLN |

EDU411-CMcNair, Jeff L |
01/09/2018 | Th | 7:05 PM - 9:30 PM | CBU Online ONLN |

EDU411-ASTAFF, STAFF |
05/07/2018 | T | 4:30 PM - 6:55 PM | TBA ONLN |

EDU411-BSTAFF, STAFF |
05/07/2018 | Th | 7:05 PM - 9:30 PM | TBA ONLN |

#### ETC407 Technology and Learning

Candidates will examine and apply various instructional theories and technologies to enhance student engagement and achievement. Candidates will demonstrate proficiency in various computer, web, and mobile device applications for the K-12 classroom and evaluate their relative effectiveness in relation to student achievement. (3 units; Fall/Spring/Summer)

ETC407-DMorris, Stephen A. |
09/05/2017 | Th | 7:05 PM - 9:30 PM | Yeager Center ONLN |

ETC407-ACastillo, Keith A. |
09/05/2017 | T | 4:30 PM - 6:55 PM | Yeager Center ONLN |

ETC407-BCastillo, Keith A. |
09/05/2017 | T | 7:05 PM - 9:30 PM | Yeager Center ONLN |

ETC407-CMorris, Stephen A. |
09/05/2017 | Th | 4:30 PM - 6:55 PM | Yeager Center ONLN |

ETC407-CSTAFF, STAFF |
01/09/2018 | Th | 4:30 PM - 6:55 PM | TBA ONLN |

ETC407-BSTAFF, STAFF |
01/09/2018 | T | 7:05 PM - 9:30 PM | TBA ONLN |

ETC407-ASTAFF, STAFF |
01/09/2018 | T | 4:30 PM - 6:55 PM | TBA ONLN |

ETC407-ASTAFF, STAFF |
05/07/2018 | Th | 4:30 PM - 6:55 PM | TBA ONLN |

ETC407-BSTAFF, STAFF |
05/07/2018 | Th | 7:05 PM - 9:30 PM | TBA ONLN |

ETC407-CSTAFF, STAFF |
05/07/2018 | T | 4:30 PM - 6:55 PM | TBA ONLN |

ETC407-DSTAFF, STAFF |
05/07/2018 | T | 7:05 PM - 9:30 PM | TBA ONLN |

#### MAT313 Mathematical Proofs/Structures

A study of various methods of proofs and mathematical structures covering logic, universal and existential quantifiers, sets, functions, and selected topics in discrete mathematics, linear algebra, abstract algebra, and real analysis. This is a bridge course to abstract mathematics and should be taken prior to or concurrently with courses in linear or abstract algebra, and real or complex analysis. Prerequisite: MAT 245. (3 units, Interdisciplinary; Fall/Spring)

MAT313-AHernandez, Lisa |
09/05/2017 | MWF | 12:00 PM - 1:00 PM | Yeager Center B220 |

MAT313-AHernandez, Lisa |
01/09/2018 | MWF | 12:00 PM - 1:00 PM | TBA |

#### MAT353 Probability & Statistics

A calculus based course covering discrete and continuous distributions, expectations, the normal distribution, the central limit theorem, the binomial distribution, and various topics in statistical theory such as point estimation, hypothesis testing, and linear regression. Prerequisite: MAT 245. (3 units; Fall)

MAT353-ANielsen Hernandez, Michelle |
09/05/2017 | MWF | 8:15 AM - 9:15 AM | BUS 103 |

#### MAT363 Hist of Math & Theory of Numbers

A study of the History of Mathematics from ancient to modern times: Elementary topics in number theory, linear congruencies, Fermat and Wilson theorems, quadratic reciprocity laws. Pre- or co- requisite: MAT313. (3 units; Interdisciplinary, Multicultural; Fall)

MAT363-ASill, Michael R. |
09/05/2017 | MWF | 1:15 PM - 2:15 PM | BUS 253 |

#### MAT403 Linear Algebra

Vector spaces; matrices, rank and systems of linear equations; linear transformation; similarity and diagonalization theorems; eigenvectors and eigenvalues. Prerequisite: MAT 313. (3 units; Spring)

MAT403-AWillett, Robert James |
01/09/2018 | MWF | 12:00 PM - 1:00 PM | TBA |

#### MAT463 Fund Concepts of Geometry

An advanced study of concepts of Euclidean geometry and an introduction to non-Euclidean geometry. Theorems and proofs are emphasized. Prerequisite: MAT 313. (3 units; Spring)

MAT463-ASill, Michael R. |
01/09/2018 | MWF | 1:15 PM - 2:15 PM | TBA |

#### MAT499 Capstone

The course is designed to be a culminating experience for senior students who are preparing to teach mathematics at the junior/senior high school level. The course provides students an opportunity to reflect on the critical assignments that have been completed throughout their coursework and relate these lessons to the career of teaching. Prerequisite: Permission of Department Chair. (4 units; Fall/Spring)

MAT499-AMorris, Elizabeth Ann |
09/05/2017 | TTh | 8:45 AM - 10:15 AM | Yeager Center A110 |

MAT499-AMorris, Elizabeth Ann |
01/09/2018 | TTh | 8:45 AM - 10:15 AM | TBA |

## Elective Requirements

Complete a set of two courses from the following:

#### MAT343 Multivariable Calculus

Study and applications of vector analysis, partial differentiation, multiple integration, Jacobians, theorems of Green and Stokes, and divergence theorem. Prerequisite: MAT 255. (4 units; Fall/Spring)

MAT343-APankowski, Franciszek |
09/05/2017 | MWF | 7:00 AM - 7:45 AM | BUS 103 |

MAT343-CSill, Michael R. |
09/05/2017 | T | 10:45 AM - 11:45 AM | Building 36 36B |

MAT343-BPankowski, Franciszek |
09/05/2017 | MWF | 7:45 AM - 8:30 AM | BUS 103 |

MAT343-APankowski, Franciszek |
01/09/2018 | MWF | 7:45 AM - 8:30 AM | TBA |

#### MAT443 Advanced Calculus

An introduction to real analysis and topology covering the completeness of the real numbers, sequences, limits, continuity, uniform continuity, Riemann integrability, topology of the real numbers, topological spaces, connectedness, compactness, and metric spaces. Prerequisite: MAT 313. (3 units; Spring)

MAT443-ACordero, Ricardo J. |
01/09/2018 | TTh | 8:45 AM - 10:15 AM | TBA |

or

#### PHY214 Physics for Scientist I w/lab

A study of mechanics, heat and thermodynamics, waves, sound, and the mathematical methods of physics. Lecture (3 units) and required laboratory (1 unit). Additional lab fee. Prerequisite: MAT 145 or 245, and a passing score on a mathematics assessment exam. (4 units; Fall)

PHY214-ABuchholz, James R |
09/05/2017 | M | 10:45 AM - 11:45 AM | BUS 125 |

PHY214-BBuchholz, James R |
09/05/2017 | M | 10:45 AM - 11:45 AM | BUS 125 |

#### PHY224 Physics for Scientist II w/lab

A continuation of PHY 214, including a study of electricity, magnetism, electromagnetic waves, optics, and modern physics topics. Lecture (3 units) and required laboratory (1 unit). Additional lab fee. Prerequisite: PHY 214. (4 units; Spring)

PHY224-ABuchholz, James R |
01/09/2018 | M | 10:45 AM - 11:45 AM | TBA |

PHY224-BBuchholz, James R |
01/09/2018 | T | 10:45 AM - 11:45 AM | TBA |