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:
- State and interpret the definition of derivatives, and compute the derivatives of basic and transcendental functions of one or more variables.
- Apply concepts of differential and integral calculus of one or more variables to solve problems involving rates, area, volume, and lengths of arcs.
- State and interpret the definition of integrals, and calculate definite and indefinite integrals involving basic and transcendental functions.
- Graph equations in the rectangular, polar, cylindrical, and spherical coordinate systems, curves defined parametrically, conic sections, vectors, and vector valued functions.
- Solve first-order differential equations and compute partial derivatives.
- 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.)
- Completion of General Education Requirements by one of the following methods:
- Completion of a minimum of 18 units as listed under Areas A through E, including the Cultural Diversity Requirement.
- 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.
- 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.
- Completion of a Major or Area of Emphasis—a minimum of 18 units.
- Completion of additional elective units to a total of 60 units.
- 2.0 overall Grade Point Average at GWC and 2.0 overall Grade Point Average for all colleges attended.
- 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 G180 | Calculus 1 | 5 |
| MATH G185 | Calculus 2 | 5 |
| MATH G280 | Calculus 3 | 5 |
| Select one of the following: | 4-5 | |
| MATH G235 | Applied Linear Algebra | 4 |
| MATH G285 | Introduction to Linear Algebra and Differential Equations | 5 |
| Major Total | 19-20 | |
| GE Pattern (Local, CSU GE-Breadth, or IGETC) | 18-39 | |
| Total Units | 60 | |
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 G180 | Calculus 1 | 5 |
| ENGL G100 | Freshman 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 Sciences | 3 | |
| Elective coursework for a total of 3 units | 3 | |
| Units | 15 | |
| Course | Title | Units |
|---|---|---|
| Semester 2 | ||
| MATH G185 | Calculus 2 | 5 |
| Area C: Arts & Humanities course | 3 | |
| Elective coursework for a total of 9 units | 9 | |
| Units | 17 | |
Year 2:
| Course | Title | Units |
|---|---|---|
| Semester 3 | ||
| MATH G280 | Calculus 3 | 5 |
| Elective coursework for a total of 3 units | 3 | |
| Select one of the following: | 4-5 | |
| MATH G235 | Applied Linear Algebra | 4 |
| MATH G285 | Introduction to Linear Algebra and Differential Equations | 5 |
| Units | 12-13 | |
| Course | Title | Units |
|---|---|---|
| Semester 4 | ||
| Area B: Natural Sciences course | 3 | |
| Area D: Social & Behavioral Sciences course | 3 | |
| Elective coursework to reach a minimum of 60 units | 6-7 | |
| Cultural Diversity requirement # | 3 | |
| Units | 15-16 | |
| Total minimum units required | 60 | |
| ^ | Program sequence may not be recommended for students who self-place into ENGL G100S. Students should see a Counselor for appropriate advisement. |
| # | Cultural Diversity requirement list of approved courses |