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# MATH R122 - Calculus with Analytic Geometry III

**Course description**:

As the third course in the calculus sequence,
this course reviews the calculus of several variables and solid
analytic geometry. It includes the study of vectors and surfaces in
space, partial derivatives, multiple integrals, vector valued
functions, cylindrical and spherical coordinate systems, line and
surface integrals, vector fields, Green’s Theorem, parametric surfaces,
Jacobians, Lagrange Multipliers, Stoke’s Theorem, and the Divergence
Theorem.

**Prerequisites**:

MATH 121 (Calculus with Analytic Geometry II)**Prerequisite for**:

MATH R122 is required for PHYS 133 (Physics for Scientists and Engineers 3).

**Degree fulfillment**:

MATH R122 can be used to fulfill major requirements for the following programs:

- A.A. in General Studies Pattern II, Natural Sciences or Mathematics emphasis
- A.A. in General Studies Pattern III, Natural Sciences or Mathematics emphasis
- A.A. in Mathematics
- A.A. in Physics, Technology option (required course)
- A.A. in Physics, Physical Science option
- A.S. in Physics (required course)

**GE fulfillment**:

MATH R122 fulfills
the Math Competency requirement for all associate
degrees at Oxnard College.

**IGETC and CSU GE-Breadth fulfillment**:

- MATH R122 fulfills the Area 2 (Mathematical Concepts and Quantitative Reasoning) requirement for IGETC certification.
- MATH R122 partially fulfills the Area B (Scientific Inquiry and Quantitative Reasoning) requirement for CSU-GE Breadth certification.

See a counselor for more information on IGETC or CSU GE-Breadth certification.

**Some transfer information**:

Credit for MATH R122 can be transferred to several universities; the chart below shows a few of the possibilities. For more complete transfer information, see a counselor at the Transfer Center or visit ASSIST online.

University |
MATH R122 equivalent |

CSUCI | MATH 250 |

UCSB | MATH 5B or 5C |

UCSD | MATH 20C |

Oxnard College, 4000 South Rose Ave. Oxnard, CA 93033 (805) 986 - 5800