Academic Catalogs

Mathematics, Associate in Arts Degree

Banner code: 2_AA_MATH
Control number: 18357
Financial aid: Eligible 

The Associate in Arts degree in Mathematics is designed for students to study a variety of mathematical topics: calculus, linear algebra, differential equations, calculus based physics, computer programming, and statistics. These topics aid students in other STEM related fields and applications, building a students critical thinking and applied reasoning to solve and analyze real world applications.

Program Level Learning Outcomes

Upon completion of this program, students will be able to:

  1. State and interpret the definition of derivatives, and compute the derivatives of basic and transcendental functions of one or more variables.
  2. Apply concepts of differential and integral calculus of one or more variables to solve problems involving rates, area, volume, and lengths of arcs.
  3. State and interpret the definition of integrals, and calculate definite and indefinite integrals involving basic and transcendental functions.
  4. Graph equations in the rectangular, polar, cylindrical, and spherical coordinate systems, curves defined parametrically, conic sections, vectors, and vector valued functions.
  5. Solve first-order differential equations and compute partial derivatives.
  6. Perform matrix operations, eigenvalue and eigenvector computations and applications.

Associate Degree Graduation Requirements

(See GWC website for the most up-to-date information on Associate Degree Requirements.)

  1. Completion of General Education Requirements by one of the following methods:
    1. Completion of a minimum of 18 units as listed under Areas A through E, including the Cultural Diversity Requirement.
    2. Completion of a minimum of 39 units of CSU General Education requirements. Students who complete this pattern are also eligible to receive the Certificate of Achievement in CSU General Education Breadth.
    3. Completion of a minimum of 34 (UC) or 37 (CSU) units of Intersegmental General Education Transfer Curriculum (IGETC) requirements. Students who complete this pattern are also eligible to receive the Certificate of Achievement in IGETC.
  2. Completion of a Major or Area of Emphasis—a minimum of 18 units.
  3. Completion of additional elective units to a total of 60 units.
  4. 2.0 overall Grade Point Average at GWC and 2.0 overall Grade Point Average for all colleges attended.
  5. At least 12 units completed at GWC.

Students should consult a GWC counselor in order to select the best pathway to meet their educational goals. For students who intend to transfer, the choice of general education will be specific to both their major and transfer institution.

Course Title Units
Required Courses
MATH G180Calculus 15
MATH G185Calculus 25
MATH G280Calculus 35
Select one of the following:4-5
MATH G235Applied Linear Algebra4
MATH G285Introduction to Linear Algebra and Differential Equations5
Major Total19-20
GE Pattern (Local, CSU GE-Breadth, or IGETC)18-39
Total Units60

Recommended Program Sequence

These sequences are general course maps for students to finish all major and general education requirements for two-year completion of degrees, completion of short-term certificates, and/or fulfillment of transfer requirements. However, this may not be an appropriate path for all students.  The two-year sequence is based on English and Math placement and meeting other course prerequisites. Students are advised to meet with a GWC Counselor to review course selections and sequences to ensure that completion of this program will meet a student's transfer and career goals.

Year 1:

Course Title Units
Semester 1
MATH G180Calculus 15
ENGL G100Freshman Composition ^4
Area E: Lifelong Understanding and Self-Development or Area A: English Language, Area B: Natural Sciences, Area C: Arts & Humanities, Area D: Social & Behavioral Sciences3
Elective coursework for a total of 3 units3
Units15
Course Title Units
Semester 2
MATH G185Calculus 25
Area C: Arts & Humanities course3
Elective coursework for a total of 9 units9
Units17

Year 2:

Course Title Units
Semester 3
MATH G280Calculus 35
Elective coursework for a total of 3 units3
Select one of the following: 4-5
MATH G235Applied Linear Algebra4
MATH G285Introduction to Linear Algebra and Differential Equations5
Units12-13
Course Title Units
Semester 4
Area B: Natural Sciences course3
Area D: Social & Behavioral Sciences course3
Elective coursework to reach a minimum of 60 units6-7
Cultural Diversity requirement #3
Units15-16
Total minimum units required60