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

  1. Middle school math teacher
  2. High school math teacher

Links

  1. http://teachcalifornia.org/
  2. http://www.bls.gov/ooh/education-training-and-library/middle-school-teachers.htm
  3. 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-A
Willett, Robert James
01/10/2018 - 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-A
Nielsen Hernandez, Michelle
09/05/2017 MWF 9:30 AM - 10:30 AM BUS 251
MAT125-A
Nielsen Hernandez, Michelle
09/04/2018 MWF 9:30 AM - 10:30 AM TBA

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-A
Morris, Elizabeth Ann
01/10/2018 TTh 8:45 AM - 10:15 AM Yeager Center B252

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-A
Sill, Michael R.
09/05/2017 TTh 10:30 AM - 12:00 PM Health Science Campus L244
MAT135-A
Cordero, Ricardo J.
01/10/2018 MWF 12:00 PM - 1:00 PM Yeager Center B111
MAT135-A
Sill, Michael R.
09/04/2018 MWF 2:30 PM - 3:30 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-D
Fourie, Sheraya Linn
09/05/2017 MWF 8:45 AM - 9:30 AM Yeager Center B222
MAT245-E
Fourie, Sheraya Linn
09/05/2017 MWF 9:30 AM - 10:15 AM Yeager Center B222
MAT245-A
Cordero, Ricardo J.
09/05/2017 MWF 7:00 AM - 7:45 AM BUS 103
MAT245-C
Cordero, Ricardo J.
09/05/2017 Th 8:15 AM - 9:15 AM BUS 123
MAT245-B
Cordero, Ricardo J.
09/05/2017 MWF 7:45 AM - 8:30 AM BUS 103
MAT245-B
Nielsen Hernandez, Michelle
01/10/2018 W 8:15 AM - 9:15 AM BUS 204
MAT245-D
Nielsen Hernandez, Michelle
01/10/2018 W 9:30 AM - 10:30 AM BUS 204
MAT245-C
Nielsen Hernandez, Michelle
01/10/2018 W 9:30 AM - 10:30 AM BUS 204
MAT245-A
Nielsen Hernandez, Michelle
01/10/2018 W 8:15 AM - 9:15 AM BUS 204
MAT245-A
Willett, Robert James
05/07/2018 MTWTh 10:30 AM - 12:30 PM TBA
MAT245-B
Hernandez, Lisa
09/04/2018 MWF 9:30 AM - 10:30 AM TBA ONLN
MAT245-A
Cordero, Ricardo J.
09/04/2018 MWF 8:15 AM - 9:15 AM BUS ONLN

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-A
Sill, Michael R.
01/10/2018 WF 12:00 PM - 1:00 PM Yeager Center B112

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-B
Willett, Robert James
09/05/2017 MWF 9:30 AM - 10:15 AM BUS 252
MAT255-A
Willett, Robert James
09/05/2017 MWF 8:45 AM - 9:30 AM BUS 252
MAT255-C
Willett, Robert James
09/05/2017 T 9:30 AM - 10:30 AM Mission Hall 124
MAT255-D
Willett, Robert James
09/05/2017 T 1:15 PM - 2:15 PM Yeager Center B219
MAT255-A
Willett, Robert James
01/10/2018 MWF 7:00 AM - 7:45 AM Yeager Center B222
MAT255-B
Willett, Robert James
01/10/2018 MWF 7:45 AM - 8:30 AM Yeager Center B222
MAT255-C
Sill, Michael R.
01/10/2018 MWF 1:00 PM - 1:45 PM Yeager Center B221
MAT255-B
Willett, Robert James
09/04/2018 MWF 1:15 PM - 2:15 PM TBA ONLN
MAT255-A
Willett, Robert James
09/04/2018 MWF 9:30 AM - 10:30 AM Mission Hall ONLN

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-A
McNair, Jeff L
09/05/2017 W 4:30 PM - 6:55 PM Yeager Center ONLN
EDU341-A
McNair, Jeff L
01/10/2018 W 4:30 PM - 6:55 PM Yeager Center ONLN
EDU341-A
STAFF, STAFF
09/04/2018 W 4:30 PM - 6:55 PM Yeager Center

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-D
Jones, Jason C.
09/05/2017 Th 7:05 PM - 9:30 PM Yeager Center ONLN
EDU409-B
Moss, Joshua P.
09/05/2017 T 4:30 PM - 6:55 PM Yeager Center ONLN
EDU409-C
Jones, Jason C.
09/05/2017 Th 4:30 PM - 6:55 PM Yeager Center ONLN
EDU409-A
Williams, Heather J.
09/05/2017 T 4:30 PM - 6:55 PM Yeager Center ONLN
EDU409-A
Walters, Keith A
01/10/2018 T 4:30 PM - 6:55 PM Yeager Center ONLN
EDU409-B
Walters, Keith A
01/10/2018 T 7:05 PM - 9:30 PM Yeager Center ONLN
EDU409-C
Walters, Keith A
01/10/2018 Th 4:30 PM - 6:55 PM Yeager Center ONLN
EDU409-D
Walters, Keith A
01/10/2018 MWF 10:45 AM - 11:45 AM Yeager Center ONLN
EDU409-B
STAFF, STAFF
05/07/2018 T 7:05 PM - 9:30 PM TBA ONLN
EDU409-A
STAFF, STAFF
05/07/2018 Th 4:30 PM - 6:55 PM TBA ONLN
EDU409-D
STAFF, STAFF
09/04/2018 MWF 10:45 AM - 11:45 AM Yeager Center
EDU409-A
STAFF, STAFF
09/04/2018 T 4:30 PM - 6:55 PM Yeager Center ONLN
EDU409-B
STAFF, STAFF
09/04/2018 T 4:30 PM - 6:55 PM Yeager Center ONLN
EDU409-C
STAFF, STAFF
09/04/2018 Th 4:30 PM - 6:55 PM Yeager Center 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-C
Ferko, Doreen J.
09/05/2017 Th 4:30 PM - 6:55 PM Yeager Center ONLN
EDU411-A
Pike, Rosenda A
09/05/2017 T 4:30 PM - 6:55 PM Yeager Center ONLN
EDU411-B
Sanchez, John Pablo
09/05/2017 T 7:05 PM - 9:30 PM Yeager Center ONLN
EDU411-D
McNair, Jeff L
09/05/2017 Th 7:05 PM - 9:30 PM Yeager Center ONLN
EDU411-B
Pike, Rosenda A
01/10/2018 T 4:30 PM - 6:55 PM Yeager Center ONLN
EDU411-A
Sanchez, John Pablo
01/10/2018 T 7:05 PM - 9:30 PM Yeager Center ONLN
EDU411-C
Walters, Keith A
01/10/2018 Th 7:05 PM - 9:30 PM Yeager Center ONLN
EDU411-A
STAFF, STAFF
05/07/2018 T 4:30 PM - 6:55 PM TBA ONLN
EDU411-B
STAFF, STAFF
05/07/2018 Th 7:05 PM - 9:30 PM TBA ONLN
EDU411-D
STAFF, STAFF
09/04/2018 MWF 12:00 PM - 1:00 PM Yeager Center
EDU411-A
STAFF, STAFF
09/04/2018 T 4:30 PM - 6:55 PM Yeager Center ONLN
EDU411-B
STAFF, STAFF
09/04/2018 T 7:05 PM - 9:30 PM Yeager Center ONLN
EDU411-C
STAFF, STAFF
09/04/2018 Th 4:30 PM - 6:55 PM Yeager Center 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-D
Morris, Stephen A.
09/05/2017 Th 7:05 PM - 9:30 PM Yeager Center ONLN
ETC407-A
Castillo, Keith A.
09/05/2017 T 4:30 PM - 6:55 PM Yeager Center ONLN
ETC407-B
Castillo, Keith A.
09/05/2017 T 7:05 PM - 9:30 PM Yeager Center ONLN
ETC407-C
Morris, Stephen A.
09/05/2017 Th 4:30 PM - 6:55 PM Yeager Center ONLN
ETC407-C
Morris, Stephen A.
01/10/2018 Th 4:30 PM - 6:55 PM Yeager Center ONLN
ETC407-B
Morris, Stephen A.
01/10/2018 Th 7:05 PM - 9:30 PM Yeager Center ONLN
ETC407-A
Castillo, Keith A.
01/10/2018 T 7:05 PM - 9:30 PM Yeager Center ONLN
ETC407-D
Castillo, Keith A.
01/10/2018 T 4:30 PM - 6:55 PM Yeager Center ONLN
ETC407-A
STAFF, STAFF
05/07/2018 Th 4:30 PM - 6:55 PM TBA ONLN
ETC407-B
STAFF, STAFF
05/07/2018 Th 7:05 PM - 9:30 PM TBA ONLN
ETC407-C
STAFF, STAFF
05/07/2018 T 4:30 PM - 6:55 PM TBA ONLN
ETC407-A
STAFF, STAFF
09/04/2018 T 7:05 PM - 9:30 PM Yeager Center ONLN
ETC407-B
STAFF, STAFF
09/04/2018 Th 7:05 PM - 9:30 PM Yeager Center ONLN
ETC407-C
STAFF, STAFF
09/04/2018 Th 4:30 PM - 6:55 PM Yeager Center 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-A
Hernandez, Lisa
09/05/2017 MWF 12:00 PM - 1:00 PM Yeager Center B220
MAT313-A
Hernandez, Lisa
01/10/2018 MWF 12:00 PM - 1:00 PM Yeager Center B110
MAT313-A
Hernandez, Lisa
09/04/2018 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-A
Nielsen Hernandez, Michelle
09/05/2017 MWF 8:15 AM - 9:15 AM BUS 103
MAT353-A
Nielsen Hernandez, Michelle
09/04/2018 MWF 8:15 AM - 9:15 AM TBA

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-A
Sill, Michael R.
09/05/2017 MWF 1:15 PM - 2:15 PM BUS 253
MAT363-A
STAFF, STAFF
09/04/2018 MWF 1:15 PM - 2:15 PM TBA

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-A
Willett, Robert James
01/10/2018 MWF 12:00 PM - 1:00 PM Yeager Center B219

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-A
Sill, Michael R.
01/10/2018 MWF 1:15 PM - 2:15 PM Yeager Center B218

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-A
Morris, Elizabeth Ann
09/05/2017 TTh 8:45 AM - 10:15 AM Yeager Center A110
MAT499-A
Morris, Elizabeth Ann
01/10/2018 TTh 10:30 AM - 12:00 PM Yeager Center A110
MAT499-A
Morris, Elizabeth Ann
09/04/2018 TTh 8:45 AM - 10:15 AM Yeager Center A111

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-A
Pankowski, Franciszek
09/05/2017 MWF 7:00 AM - 7:45 AM BUS 103
MAT343-C
Sill, Michael R.
09/05/2017 T 10:45 AM - 11:45 AM Building 36 36B
MAT343-B
Pankowski, Franciszek
09/05/2017 MWF 7:45 AM - 8:30 AM BUS 103
MAT343-A
Pankowski, Franciszek
01/10/2018 MWF 7:45 AM - 8:30 AM BUS 252
MAT343-A
Pankowski, Franciszek
09/04/2018 MWF 7:00 AM - 7:45 AM TBA
MAT343-B
Pankowski, Franciszek
09/04/2018 MWF 7:45 AM - 8:30 AM TBA
MAT343-C
Sill, Michael R.
09/04/2018 T 10:45 AM - 11:45 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-A
Cordero, Ricardo J.
01/10/2018 TTh 8:45 AM - 10:15 AM Building 36 36B

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-A
Buchholz, James R
09/05/2017 M 10:45 AM - 11:45 AM BUS 125
PHY214-B
Buchholz, James R
09/05/2017 M 10:45 AM - 11:45 AM BUS 125
PHY214-A
Buchholz, James R
05/07/2018 Th 8:00 AM - 12:00 PM James Complex 122
PHY214-A
Buchholz, James R
09/04/2018 M 10:45 AM - 11:45 AM BUS 125
PHY214-B
Buchholz, James R
09/04/2018 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-B
Buchholz, James R
01/10/2018 T 10:45 AM - 11:45 AM BUS 124
PHY224-A
Buchholz, James R
01/10/2018 M 10:45 AM - 11:45 AM BUS 124
PHY224-A
Buchholz, James R
07/02/2018 Th 8:00 AM - 12:00 PM James Complex 121