# Mathematics & Statistics

## Associate Degrees for Transfer

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

The Associate in Science in Mathematics for Transfer Degree program provides students with a major that fulfills the general requirements for transfer to the California State University. Students with this degree will receive priority admission with junior status to the California State University system. Students should work closely with their Folsom Lake College counselor to ensure that they are taking the appropriate coursework to prepare for majoring in Mathematics at the Institution they wish to transfer to because major and general education requirements may vary for each CSU and the degree may only transfer to specific institutions.

This program has the following completion requirements:

(1) Completion of 60 semester units or 90 quarter units that are eligible for transfer to the California State University, including both of the following:

(A) The Intersegmental General Education Transfer Curriculum (IGETC) or the California State University General Education – Breadth Requirements.

(B) A minimum of 18 semester units or 27 quarter units in a major or area of emphasis, as determined by the community college district.

(2) Obtainment of a minimum grade point average of 2.0.

ADTs also require that students must earn a C or better in all courses required for the major or area of emphasis.

**Catalog Date:** January 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 |

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:

- explain and apply basic concepts of single variate calculus including various forms of derivatives and integrals, their interconnections, and their uses in analyzing and solving real-world problems.
- explain and apply basic concepts of multivariate calculus, linear algebra, or differential equation techniques, their interconnections, and their uses in analyzing and solving real-world problems.
- write logical proofs of basic theorems.
- use appropriate applications to demonstrate mathematical problem solving.

#### Career Information

Mathematicians work as statisticians, analysts, computer programmers, actuaries, researchers, planners, and educators. The requirements of this degree may also fill the needs of students entering into engineering, the sciences, and economics.

## Associate Degrees

### A.A. in Interdisciplinary Studies: Math and Science

The Interdisciplinary Studies degree is designed for students who wish to obtain a broad knowledge of arts and sciences plus additional coursework in a prescribed “Area of Emphasis”. This program is a good choice for students planning on transferring to the California State University or University of California. The student will be able to satisfy general education requirements, plus focus on transferable course work that relates to a specific major and/or individual interest. This degree will have an "Area of Emphasis" in Math and Science. These courses emphasize the natural sciences which examine the physical universe, its life forms and its natural phenomena. Courses in math emphasize the development of mathematical and quantitative reasoning skills beyond the level of intermediate algebra. Students will be able to demonstrate an understanding of the methodologies of science as investigative tools. Students will also examine the influence that the acquisition of scientific knowledge has on the development of the world's civilizations. Possible majors at a four-year institution include, but are not limited to: mathematics, biology, chemistry, and physical science.

It is highly recommended that students consult a counselor to determine the classes within each area that will best prepare them for their intended transfer major.

**Catalog Date:** January 1, 2021

#### Degree Requirements

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

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

You must select courses from at least three different disciplines and complete courses from both math and science. If a course is cross-listed with another on the list, only one may apply to the degree. | ||

ANTH 300 | Biological Anthropology (3) | |

ANTH 301 | Biological Anthropology Laboratory (1) | |

ANTH 303 | Introduction to Forensic Anthropology (3) | |

ASTR 300 | Introduction to Astronomy (3) | |

ASTR 400 | Astronomy Laboratory (1) | |

BIOL 300 | The Foundations of Biology (3) | |

BIOL 307 | Biology of Organisms (4) | |

BIOL 310 | General Biology (4) | |

BIOL 323 | Plants and People (4) | |

BIOL 350 | Environmental Biology (3) | |

BIOL 400 | Principles of Biology (5) | |

BIOL 410 | Principles of Botany (5) | |

BIOL 420 | Principles of Zoology (5) | |

BIOL 430 | Anatomy and Physiology (5) | |

BIOL 431 | Anatomy and Physiology (5) | |

BIOL 440 | General Microbiology (4) | |

BIOL 442 | General Microbiology and Public Health (5) | |

CHEM 305 | Introduction to Chemistry (5) | |

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

CHEM 400 | General Chemistry I (5) | |

CHEM 401 | General Chemistry II (5) | |

CHEM 410 | Quantitative Analysis (5) | |

CHEM 420 | Organic Chemistry I (5) | |

CHEM 421 | Organic Chemistry II (5) | |

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

GEOG 301 | Physical Geography Laboratory (1) | |

GEOG 306 | Weather and Climate (3) | |

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 330 | Introduction to Oceanography (3) | |

GEOL 345 | Geology of California (3) | |

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

MATH 310 | Mathematical Discovery (3) | |

MATH 335 | Trigonometry with College Algebra (5) | |

MATH 341 | Calculus for Business and Economics (4) | |

MATH 343 | Modern Business Mathematics (4) | |

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 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) | |

NUTRI 300 | Nutrition (3) | |

NUTRI 340 | Nutrition and Metabolism (3) | |

PHYS 310 | Conceptual Physics (3) | |

PHYS 311 | Basic Physics (3) | |

PHYS 350 | General Physics (4) | |

PHYS 360 | General Physics (4) | |

PHYS 411 | Mechanics of Solids and Fluids (4) | |

PHYS 421 | Electricity and Magnetism (4) | |

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

PS 302 | Introduction to Physical Science (4) | |

PSYC 312 | Biological Psychology (4) | |

PSYC 330 | Introductory Statistics for the Behavioral Sciences (3) | |

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

Total Units: | 18 |

*The Interdisciplinary Studies: Math and Science Associate in Arts (A.A.) degree may be obtained by completion of the required program, plus general education requirements, plus sufficient electives
to meet a 60-unit total. See FLC graduation requirements.*

#### Student Learning Outcomes

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

- reason quantitatively and empirically (Math and Science).

### A.S. in Mathematics

This degree is designed to allow students to meet common lower division requirements for a major in mathematics at many four-year transfer institutions. Required courses for this degree may also fulfill lower division requirements for four-year degrees in computer science and engineering.

**Catalog Date:** January 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 420 | Differential Equations | 4 |

MATH 410 | Introduction to Linear Algebra | 3 |

A minimum of 4 units from the following: | 4 | |

CISP 360 | Introduction to Structured Programming (4) | |

CISP 370 | Beginning Visual Basic (4) | |

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

Total Units: | 26 |

*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 FLC 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.

## Certificate of Achievement

### STEM Math Certificate

The STEM Math Certificate provides students with an option to receive college affirmation of math related work done on a pathway related to science, technology, engineering, or mathematics. Students majoring in STEM related fields often transfer without the need for an associates degree even though many lower division preparation courses were taken. A common thread throughout these majors is a high level of proficiency in mathematics.

**Catalog Date:** January 1, 2021

#### Certificate Requirements

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

A minimum of 16 units from the following: | 16 | |

MATH 335 | Trigonometry with College Algebra (5) | |

MATH 341 | Calculus for Business and Economics (4) | |

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 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) | |

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

Total Units: | 16 |

#### Student Learning Outcomes

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

- use appropriate applications to demonstrate mathematical problem solving.
- use trigonometric concepts to solve a variety of triangle related real-world applications.
- explain and apply basic concepts of single variate calculus including various forms of derivatives and integrals, their interconnections, and their uses in analyzing and solving real-world problems.

#### Career Information

A strong Math foundation is required for nearly every STEM major plus a number of other majors that may not be traditionally listed as STEM. The courses within this certificate provide strong foundations for many majors and open many potential career doors. Visit the Career Center to find out more about jobs related to the following majors and career options. Sciences: Biology, Chemistry, Physics, and other majors require 2 or 3 semesters of calculus and sometimes additional courses. Technology: Computer Science and Computer Programming majors require Calculus and some higher courses in mathematics. Engineering: Mechanical, Civil, Electrical engineers, to name a few, all require our Calculus, Linear Algebra, and Differential Equations. Mathematics: Mathematicians work as statisticians, analysts, computer programmers, actuaries, researchers, planners, and educators. Economics and Industrial Engineering majors require Calculus and some higher level courses and sometimes Statistics as well.

## Science, Technology, Engineering, and Mathematics

This program is part of the Science, Technology, Engineering, and Mathematics meta-major.