# Mathematics and Statistics

## Associate Degrees for Transfer

### A.S.-T. in Mathematics

This degree is designed to meet common lower-division requirements for a major in Mathematics at a CSU campus. Satisfactory completion of the ARC Mathematics transfer degree provides a solid foundation and satisfies the standard prerequisites for upper division coursework for Mathematics majors. However, it is highly recommended that students meet with a counselor since major and general education requirements vary for each college/university.

The Mathematics Associate in Science for Transfer (AS-T) Degree may be obtained by the completion of 60 transferable, semester units with a minimum 2.0 GPA, including (a) the major or area of emphasis described in the Required Program outlined below (earning a C or better in these courses) and (b) either the Intersegmental General Education Transfer Curriculum (IGETC) or the California State University General Education Breadth Requirements.

**Catalog Date:** June 1, 2021

#### Degree Requirements

Course Code | Course Title | Units |
---|---|---|

MATH 400 | Calculus I (5) | 5 |

MATH 401 | Calculus II (5) | 5 |

MATH 402 | Calculus III (5) | 5 |

MATH 410 | Introduction to Linear Algebra (3) | 3 |

MATH 420 | Differential Equations (4) | 4 |

Total Units: | 22 |

*The Associate in Science in Mathematics for Transfer (AS-T) degree may be obtained by completion of 60 transferable, semester units with a minimum 2.0 GPA,
including (a) the major or area of emphasis described in the Required Program, and
(b) either the Intersegmental General Education Transfer Curriculum (IGETC) or the
California State University General Education-Breadth Requirements.*

#### Student Learning Outcomes

Upon completion of this program, the student will be able to:

- evaluate, describe, and apply single variable calculus including various forms of derivatives and integrals, to analyze and solve problems.
- evaluate, describe, and apply multivariate calculus, linear algebra, and differential equations to analyze and solve problems.
- prepare logical arguments and use them to prove basic mathematical theorems.
- solve real-world application problems using appropriate mathematical problem-solving skills.

#### Career Information

Mathematicians work as statisticians, analysts, computer programmers, actuaries, researchers, planners, and educators. This transfer degree is designed to meet the common lower-division requirements for most bachelor's degrees in Mathematics.

## Associate Degrees

### A.S. in Mathematics

The A.S. degree in mathematics provides a foundation of mathematics for students in preparation for transfer to a four-year program in mathematics or statistics. Course work includes a three-semester calculus series, differential equations, linear algebra, and statistics and/or symbolic logic.

**Catalog Date:** June 1, 2021

#### Degree Requirements

Course Code | Course Title | Units |
---|---|---|

MATH 400 | Calculus I | 5 |

MATH 401 | Calculus II | 5 |

MATH 402 | Calculus III | 5 |

MATH 410 | Introduction to Linear Algebra | 3 |

MATH 420 | Differential Equations | 4 |

A minimum of 3 units from the following: | 3 | |

MATH 320 | Symbolic Logic (3) | |

or PHIL 324 | Symbolic Logic (3) | |

STAT 300 | Introduction to Probability and Statistics (4) | |

Total Units: | 25 |

*The Mathematics Associate in Science (A.S.) degree may be obtained by completion of the required program, plus general education requirements, plus sufficient electives
to meet a 60-unit total. See ARC graduation requirements.*

#### Student Learning Outcomes

Upon completion of this program, the student will be able to:

- Identify, formulate, and solve applied problems (using calculus and linear algebra) in verbal, numeric, graphical, and symbolic form related to science, economics, or business.
- Recognize and construct valid arguments using deductive and inductive reasoning skills.
- Define and utilize terminology of mathematics with emphasis in calculus, linear algebra, and either statistics, logic or problem solving.
- Calculate derivatives and integrals using a variety of defined rules and strategies of calculus, algebraic properties and trigonometric identities.

### A.S. in Physical Science/Mathematics

This degree provides a broad study in the fields of physical science and mathematics. It effectively prepares students for transfer to a four-year program in science, technology, engineering, or mathematics (STEM).

**Catalog Date:** June 1, 2021

#### Degree Requirements

Course Code | Course Title | Units |
---|---|---|

A minimum of 18 units from the following: | 18 | |

ASTR 300 | Introduction to Astronomy (3) | |

ASTR 310 | The Solar System (3) | |

ASTR 320 | Stars, Galaxies, and Cosmology (3) | |

ASTR 330 | Introduction to Astrobiology (3) | |

ASTR 400 | Astronomy Laboratory (1) | |

ASTR 481 | Honors Astronomy: Stars, Galaxies, and Cosmology (4) | |

ASTR 495 | Independent Studies in Astronomy (1 - 3) | |

ASTR 499 | Experimental Offering in Astronomy (0.5 - 4) | |

CHEM 305 | Introduction to Chemistry (5) | |

CHEM 306 | Introduction to Organic and Biological Chemistry (5) | |

CHEM 309 | Integrated General, Organic, and Biological Chemistry (5) | |

CHEM 310 | Chemical Calculations (4) | |

CHEM 400 | General Chemistry I (5) | |

CHEM 401 | General Chemistry II (5) | |

CHEM 420 | Organic Chemistry I (5) | |

CHEM 421 | Organic Chemistry II (5) | |

CHEM 423 | Organic Chemistry - Short Survey (5) | |

CHEM 495 | Independent Studies in Chemistry (1 - 3) | |

CHEM 499 | Experimental Offering in Chemistry (0.5 - 4) | |

ENGR 300 | Introduction to Engineering (1) | |

ENGR 310 | Engineering Survey Measurements (4) | |

ENGR 312 | Engineering Graphics (3) | |

ENGR 401 | Introduction to Electrical Circuits and Devices (4) | |

ENGR 412 | Properties of Materials (4) | |

ENGR 420 | Statics (3) | |

ENGR 495 | Independent Studies in Engineering (1 - 3) | |

ENGR 499 | Experimental Offering in Engineering (0.5 - 4) | |

GEOG 300 | Physical Geography: Exploring Earth's Environmental Systems (3) | |

GEOG 301 | Physical Geography Laboratory (1) | |

GEOG 305 | Global Climate Change (3) | |

GEOG 306 | Weather and Climate (3) | |

GEOG 307 | Environmental Hazards and Natural Disasters (3) | |

GEOG 308 | Introduction to Oceanography (3) | |

GEOG 309 | Introduction to Oceanography Lab (1) | |

GEOG 391 | Field Studies in Geography: Mountain Landscapes (1 - 4) | |

GEOG 392 | Field Studies in Geography: Coastal Landscapes (1 - 4) | |

GEOG 393 | Field Studies in Geography: Arid Landscapes (1 - 4) | |

GEOG 394 | Field Studies in Geography: Volcanic Landscapes (1 - 4) | |

GEOG 495 | Independent Studies in Geography (1 - 3) | |

GEOG 499 | Experimental Offering in Geography (0.5 - 4) | |

GEOL 300 | Physical Geology (3) | |

GEOL 301 | Physical Geology Laboratory (1) | |

GEOL 305 | Earth Science (3) | |

GEOL 306 | Earth Science Laboratory (1) | |

GEOL 310 | Historical Geology (3) | |

GEOL 311 | Historical Geology Laboratory (1) | |

GEOL 320 | Global Climate Change (3) | |

GEOL 325 | Environmental Hazards and Natural Disasters (3) | |

GEOL 330 | Introduction to Oceanography (3) | |

GEOL 331 | Introduction to Oceanography Lab (1) | |

GEOL 345 | Geology of California (3) | |

GEOL 390 | Field Studies in Geology (1 - 4) | |

GEOL 495 | Independent Studies in Geology (1 - 3) | |

GEOL 499 | Experimental Offering in Geology (0.5 - 4) | |

MATH 300 | Introduction to Mathematical Ideas (3) | |

MATH 310 | Mathematical Discovery (3) | |

MATH 311 | Mathematical Concepts for Elementary School Teachers - Number Systems (3) | |

MATH 320 | Symbolic Logic (3) | |

or PHIL 324 | Symbolic Logic (3) | |

MATH 325 | Problem-Solving (3) | |

MATH 340 | Calculus for Business and Economics (3) | |

MATH 342 | Modern Business Mathematics (3) | |

MATH 355 | Calculus for Biology and Medicine I (4) | |

MATH 356 | Calculus for Biology and Medicine II (4) | |

MATH 370 | Pre-Calculus Mathematics (5) | |

MATH 372 | College Algebra for Calculus (4) | |

MATH 373 | Trigonometry for Calculus (4) | |

MATH 375 | Pre-Calculus (6) | |

MATH 400 | Calculus I (5) | |

MATH 401 | Calculus II (5) | |

MATH 402 | Calculus III (5) | |

MATH 410 | Introduction to Linear Algebra (3) | |

MATH 420 | Differential Equations (4) | |

MATH 480 | Honors Seminar in Mathematics (1) | |

MATH 495 | Independent Studies in Mathematics (1 - 3) | |

MATH 499 | Experimental Offering in Mathematics (0.5 - 4) | |

PHYS 310 | Conceptual Physics (3) | |

PHYS 311 | Basic Physics (3) | |

PHYS 312 | Conceptual Physics Laboratory (1) | |

PHYS 350 | General Physics (4) | |

PHYS 360 | General Physics (4) | |

PHYS 410 | Mechanics of Solids and Fluids (5) | |

PHYS 421 | Electricity and Magnetism (4) | |

PHYS 431 | Heat, Waves, Light and Modern Physics (4) | |

PHYS 495 | Independent Studies in Physics (1 - 3) | |

PHYS 499 | Experimental Offering in Physics (0.5 - 4) | |

STAT 300 | Introduction to Probability and Statistics (4) | |

STAT 305 | Statway, Part II (6) | |

STAT 480 | Introduction to Probability and Statistics - Honors (4) | |

STAT 495 | Independent Studies in Statistics (1 - 3) | |

STAT 499 | Experimental Offering in Statistics (0.5 - 4) | |

Total Units: | 18 |

*The Physical Science/Mathematics Associate in Science (A.S.) degree may be obtained by completion of the required program, plus general education requirements, plus sufficient electives
to meet a 60-unit total. See ARC graduation requirements.*

#### Student Learning Outcomes

Upon completion of this program, the student will be able to:

- recognize and correctly use the terminology of math, statistics, and/or science.
- analyze and interpret data, charts, and graphs using quantitative and qualitative methods.
- recognize and construct valid arguments using deductive and inductive reasoning.
- evaluate new and accepted ideas about the natural universe using testable methodology.

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## Math Learning Center (MLC)

The MLC provides students with a mastery-based, independent study approach to learning math.