Nov 28, 2024

University Catalog 2022-2023

University Catalog 2022-2023 [ARCHIVED CATALOG]

Mathematics, B.S.

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The Bachelor of Science degree curriculum is designed to prepare students for positions in business, industry, or government, as well as for teaching mathematics in middle or high schools or graduate work in mathematics. (See Undergraduate Studies: General Information , especially the General Education section for information on requirements beyond those in the major.)

The total number of units required for the Bachelor of Science degree in Mathematics is 120-135 units, of which 77-105 units are in the major depending on the option selected. Students must select one of the following options:

Option I - Applied Mathematics: This option prepares students for graduate work in applied mathematics or work in industry.
Option II - General Mathematics: This option incorporates both pure and applied math courses to prepare students for graduate work in mathematics.
Option III - Integrated Teaching: This option satisfies both subject matter certification requirements and teacher education coursework requirements, including student teaching. Students in Option III graduate with a degree in mathematics that is subject matter certified and a preliminary credential that allows them to teach single subject mathematics. A minimum GPA of 2.75 in the last 60 units of coursework is required for admission in the credential program. Students must maintain a minimum GPA of 3.00 in all professional education courses.
Option IV - Traditional Teaching: This option satisfies only subject matter certification requirements. Students in Option IV graduate with a degree in mathematics that is subject matter certified, but without preliminary credential. Students should consult the Charter College of Education for credential admission requirements at least two semesters prior to graduation.

Note: Students in the teaching options (III and IV) must earn a grade of C or higher in all courses in the major. The Writing Intensive (wi) requirement is satisfied within the major for both teaching options. In order to obtain a Single Subject Teaching Credential in Mathematics, students must complete

subject matter certification requirements, and
teacher education coursework requirements.

The table below explains specific number of units required in all areas of the degree including GE and free electives in all four options.

	Option I Applied Mathematics	Option II General Mathematics	Option III Integrated Teaching	Option IV Traditional Teaching
Lower-Division General Education (LD GE)	30	30	30	30
Upper-Division General Education (UD GE)	9	9	0	9
LD major core	33	33	33	33
UD major core	7	7	7	7
Option-Specific Courses	28 - 30	22-24	65 - 67	33
Option UD Electives	9	15	0	6
University free electives	2 - 4	2 - 4	0	2
Total units	120	120	135	120

Requirements for the Major (77-107 units)

Major Core Requirements (40 units)

Lower Division Core Courses (33 units)

Upper Division Core Courses (7 units)

Option Requirements (37 - 67 units)

Students must select one of the four options.

I. Applied Mathematics Option (37-39 units)

Required Courses (28-30 units)

Complete the following 5 courses (16 units)
MATH 4550 - Modern Algebra I [3]
MATH 4570 - Linear Algebra [3]
MATH 4680 - Introduction to Complex Analysis [3]
MATH 4740 - Theory of Probability [3]
MATH 4900 - Senior Seminar in Mathematics [4]
Select one course from each of the following groups (12-14 units)
Group I
MATH 4010 - Ordinary Differential Equations [3]
MATH 4030 - Partial Differential Equations [3]
Group II
MATH 4100 - Vector Analysis [3]
MATH 4670 - Multivariate Analysis [3]
Group III
MATH 4700 - Numerical Analysis I [3]
MATH 4720 - Linear Optimization [3]
Group IV
BIOL 1200 - Diversity of Life [5]
CHEM 1100 - General Chemistry I [5]
CS 2012 - Introduction to Programming II [4]
ECON 2090 - Applied Business and Economic Statistics I [3]
ECON 4010 - Mathematical Economics [3]
MATH 4800 - Topics in Mathematical Modeling (also listed as BIOL 4800) [3]
PHYS 2200 - General Physics II: Electromagnetism and Circuits [5]

Upper Division Electives (9 units)

Complete 9 units, of which at least 6 units must be MATH, from the following list that have not been taken to satisfy the Required Courses requirement of this option.

II. General Mathematics Option (37-39 units)

Students in this option should choose one UD GE course from each category, with at least one course that has the Writing-Intensive (wi) designation. Refer to the section in the catalog on General Education requirements for a detailed description of the UD GE categories.

Required Courses (22-24 units)

Complete the following 3 courses (10 units)
MATH 4550 - Modern Algebra I [3]
MATH 4570 - Linear Algebra [3]
MATH 4900 - Senior Seminar in Mathematics [4]
Select one course from each of the following groups (12-14 units)
Group I
MATH 4200 - Mathematical Logic [3]
MATH 4300 - Modern Geometry [3]
MATH 4460 - Theory of Numbers [3]
MATH 4840 - Graph Theory [3]
Group II
MATH 4700 - Numerical Analysis I [3]
MATH 4720 - Linear Optimization [3]
MATH 4740 - Theory of Probability [3]
Group III
MATH 4560 - Modern Algebra II [3]
MATH 4660 - Analysis II [3]
MATH 4670 - Multivariate Analysis [3]
MATH 4680 - Introduction to Complex Analysis [3]
MATH 4690 - Introduction to Topology [3]
MATH 4710 - Numerical Analysis II [3]
MATH 4750 - Introduction to Mathematical Statistics [3]
Group IV
BIOL 1200 - Diversity of Life [5]
CHEM 1100 - General Chemistry I [5]
CS 2012 - Introduction to Programming II [4]
ECON 2090 - Applied Business and Economic Statistics I [3]
ECON 4010 - Mathematical Economics [3]
MATH 4800 - Topics in Mathematical Modeling (also listed as BIOL 4800) [3]
PHYS 2200 - General Physics II: Electromagnetism and Circuits [5]

Upper Division Electives (15 units)

Complete 15 units, of which at least 12 units must be MATH, from the following list that have not been taken to satisfy the Required Courses requirement of this option.

III. Integrated Teaching Option (65-67 units)

The students in this option must complete MATH 3950 prior to taking all 4000 level courses. Students are required to submit their credential application package to the Charter College of Education during their enrollment in MATH 3950. The UD GE requirement, the UD civic learning (cl) requirement and one diversity (d) requirement are all addressed within the option courses.

Required Courses in Mathematics (27 units)

Required Courses in Professional Education (38-40 units)

IV. Traditional Teaching Option (39 units)

Option IV satisfies the subject matter certification requirement for a single subject credential but does not offer the preliminary credential. Students should consult the Charter College of Education for credential admission requirements at least two semesters prior to graduation.

Required Courses (33 units)

Complete the following 10 courses (30 units)
MATH 2600 - Analytic Geometry [3]
MATH 2740 - Introduction to Statistics [3]
MATH 3200 - Selected Topics in History of Mathematics [3]
MATH 3950 - Field Experience I: Intro. To Classroom Strategies [3]
MATH 3960 - Field Experience II: Application and Evaluation of Classroom Strategies [2]
MATH 4300 - Modern Geometry [3]
MATH 4460 - Theory of Numbers [3]
MATH 4550 - Modern Algebra I [3]
or
MATH 4570 - Linear Algebra [3]
MATH 4740 - Theory of Probability [3]
MATH 4901 - Capstone Course for Teachers of Mathematics [4]
Select one course from the following list (3 units)
CS 2012 - Introduction to Programming II [4]
ECON 2090 - Applied Business and Economic Statistics I [3]
ECON 4010 - Mathematical Economics [3]
MATH 4800 - Topics in Mathematical Modeling (also listed as BIOL 4800) [3]

Upper Division Electives (6 units)

Complete 6 units, of which at least 3 units must be MATH, from the following list that have not been used to satisfy the above Required Courses requirement of this option.

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