Mathematics Program Map

Students completing Associate Degrees for Transfer are guaranteed admission to the CSU system. Please see the beginning of the "Academic Programs" section for details. The degree is designed to prepare students for upper division study in Mathematics and related disciplines. The role of Mathematics is vital and growing, providing solutions to problems in a wide range of fields. Mathematics is a study in its own right. It is also an essential tool for expressing and understanding ideas in the sciences: social, biological, physical, behavioral, and management. As a result, employment opportunities for Math Majors have been expanding in recent years. To begin this degree students must either have completed the prerequisites for Math 30 (Calculus 1) which include Trigonometry and College Algebra, or receive a qualifying placement on the CAP tool. Mathematics graduates at the bachelor's level are qualified to pursue a career in fields such as mathematics, engineering, statistics, operations research, actuarial science, business management, law enforcement, military science, government, and education. They also frequently enter graduate programs to pursue advanced degrees in Mathematics or related majors.

Program detailsAward, code, department, CIP/TOP

Community of interest: STEM Science, Technology, Engineering & Mathematics
Award: AS-T Degree
Program code: 31953.31AS-T
Department: Mathematics
CIP code: 27.0101: Mathematics, General.
TOP code: 1701.00 - Mathematics, General

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Mathematics

AS-T Degree

The AS-T is designed for transfer preparation to a specific California State University major. Like every Butte College associate degree, it has two parts: a general-education curriculum and an academic program of specialization.

About Associate Degrees for Transfer. AA-T and AS-T degrees are aligned with transfer model curricula developed jointly by the Academic Senates and discipline faculty in the California Community College and California State University systems. Completing one with a qualifying GPA guarantees CSU admission with junior standing in a related major (campus assignment depends on space and competitive criteria).

About General Education. GE is an integrated program of learning designed to foster intellectual curiosity, cultural understanding, critical thinking, creative reasoning, oral and written communication, and the capacity for ethical reasoning. By graduation, you'll have developed the ability to think critically, communicate clearly, apply quantitative reasoning, understand how the major academic disciplines ask their questions, comprehend diverse cultures and historical periods, and assess ethical problems — alongside the depth you build in your major.

See the 2025-26 Catalog for official program details

Semester-by-Semester Map

Term 1

Class Schedules

14 units

Select one: Meets Area 2

Required

5 units

Choose one of 2 choices

MATH 30
Analytic Geometry and Calculus I
5 units
course details
A first course in differential and integral calculus of a single variable: functions, limits and continuity, techniques and applications of differentiation and integration, Fundamental Theorem of Calculus. Primarily for Science, Technology, Engineering & Math Majors. (C-ID MATH 210).
Prerequisite: MATH 20 and MATH 26 or MATH 20 and MATH 26s, MATH 28 or MATH 28s, or college-level Pre-calculus or equivalent
+−
MATH 30s
Analytic Geometry and Calculus I with Support
5 units
course details
A first course in differential and integral calculus of a single variable: functions, limits and continuity, techniques and applications of differentiation and integration, Fundamental Theorem of Calculus. Primarily for Science, Technology, Engineering & Math Majors. This course will contain the same curriculum as MATH 30 but will also have embedded support to review key pre-calculus concepts. This course emphasizes in-class activities and applications.
Prerequisite: MATH 20 and MATH 26 or MATH 20 and MATH 26s, MATH 28 or MATH 28s, or college-level Pre-calculus or equivalent
+−

General Education: Area 1C

Oral Communication

Public speaking and group discussion — organizing ideas for a live audience, listening actively, responding under pressure.

General Education: Area 4

Taking POLS C1000 or POS 12 is recommended to meet the US-2 graduation requirement for CSU/UC.

Social and Behavioral Sciences

The systematic study of people as members of society — cultural anthropology, cultural geography, economics, history, political science, psychology, sociology — and the methods these disciplines use to ask their questions.

Elective (any course numbered 1-99 or C1000-C1999)

Only necessary if the 60 units needed to graduate have not been completed. Consider taking a Cal-GETC General Education course. Visit www.assist.org to see options.

Term 2

Class Schedules

13–14 units

MATH 31

Analytic Geometry and Calculus II

4 units

Meets Area 2.

This course is the second of a series in differential and integral calculus of a single variable. Topics will include the concept, techniques and applications of integration, infinite sequences and series, as well as polar and parametric equations. Intended for Science, Technology, Engineering & Math Majors. (C-ID MATH 220).

Prerequisite: MATH 30 or MATH 30s

General Education: Area 1A

English Composition

Baccalaureate-level academic writing — expository and argumentative. The foundation for every other course you'll write in.

General Education: Area 1B

Critical Thinking and Composition

Reading and writing about complex texts — analyzing arguments, identifying assumptions, building your own case with evidence.

General Education: Area 3A

Arts

Engaging with creative work — painting, music, theatre, design — through making, viewing, and interpreting.

Term 3

Class Schedules

16–21 units

MATH 32

Analytic Geometry and Calculus III

4 units

Meets Area 2.

Vector valued functions, calculus of functions of more than one variable, partial derivatives, multiple integration, Green’s Theorem, Stokes’ Theorem, divergence theorem. (C-ID MATH 230).

Prerequisite: MATH 31

List A: (Select one): Meets Area 2

Required

3–4 units

Choose one of 2 choices

MATH 40
Differential Equations
4 units
course details
The course is an introduction to ordinary differential equations including both quantitative and qualitative methods as well as applications from a variety of disciplines. Introduces the theoretical aspects of differential equations, including establishing when solution(s) exist, and techniques for obtaining solutions, including, series solutions, and singular points, Laplace transforms and linear systems. (C-ID MATH 240).
Prerequisite: MATH 31
+−
MATH 42
Linear Algebra
3 units
course details
This course develops the techniques and theory needed to solve and classify systems of linear equations. Solution techniques include row operations, Gaussian elimination, and matrix algebra. Investigates the properties of vectors in two and three dimensions, leading to the notion of an abstract vector space. Vector space and matrix theory are presented including topics such as inner products, norms, orthogonality, eigenvalues, eigenspaces, and linear transformations. Selected applications of linear algebra are included. (C-ID MATH 250).
Prerequisite: MATH 30 or MATH 30s
+−

List B (Select one or any List A course not already used):

Required

3–4 units

Choose one of 4 choices

CSCI 20
Programming and Algorithms I
3 units
course details
This course is an introduction to the discipline of computer science, with a focus on the design and implementation of algorithms to solve simple problems using a high-level programming language. Topics include fundamental programming constructs, problem-solving strategies, debugging techniques, declaration models, and an overview of procedural and object-oriented programming languages. Students will learn to design, implement, test, and debug algorithms using pseudocode and a high-level programming language. (C-ID COMP 122).
+−
PHYS 41
Physics for Scientists and Engineers I
4 units
course details
This course, intended for students majoring in physical sciences and engineering, is part of a three-semester course whose contents may be offered in other sequences or combinations. Core topics include an introduction to kinematics, dynamics, work and energy, momentum, gravitation and simple harmonic motion. Graded only. (C-ID PHYS 205/PHYS 100S).
Prerequisite: MATH 30 or MATH 30s
+−
STAT C1000
Introduction to Statistics
4 units
course details
This course is an introduction to statistical thinking and processes, including methods and concepts for discovery and decision-making using data. Topics include descriptive statistics; probability and sampling distributions; statistical inference; correlation and linear regression; analysis of variance, chi-squared, and t-tests; and application of technology for statistical analysis including the interpretation of the relevance of the statistical findings. Students apply methods and processes to applications using data from a broad range of disciplines. (C-ID MATH 110).
Prerequisite: Placement as determined by the college’s multiple measures assessment process or completion of a course taught at or above the level of intermediate algebra
+−
STAT C1000E
Introduction to Statistics
4 units
course details
This course is an introduction to statistical thinking and processes, including methods and concepts for discovery and decision-making using data. Topics include descriptive statistics; probability and sampling distributions; statistical inference; correlation and linear regression; analysis of variance, chi-squared, and t-tests; and application of technology for statistical analysis including the interpretation of the relevance of the statistical findings. Students apply methods and processes to applications using data from a broad range of disciplines. This course has embedded support. (C-ID MATH 110).
Prerequisite: Placement as determined by the college’s multiple measures assessment process or completion of a course taught at or above the level of intermediate algebra
+−

General Education: Area 3B

Taking ECON 20, HIST 8, HIST 10, HIST 18, or HIST 26 is recommended to meet the US-1 graduation requirement for CSU/UC.

Humanities

History, literature, philosophy, language — how people across time and cultures have made sense of the world.

General Education: Area 5A

Only necessary if PHYS 41 not taken in List B.

Physical Science

The physical world — chemistry, physics, geology, astronomy — and how science actually works.

Term 4

Class Schedules

17–19 units

General Education: Area 4

Social and Behavioral Sciences

General Education: Area 5B

Must have 5C Lab component if not taken in 5A/5C.

Biological Science

Life and living systems — from cells to ecosystems.

General Education: Area 6

Ethnic Studies

The histories, experiences, and contributions of the four autonomous disciplines: Black / African American / Africana studies, Native American studies, Chicano/a/x and Latino/a/x studies, and Asian American studies.

Elective (any course numbered 1-99 or C1000-C1999)

Only necessary if the 60 units needed to graduate have not been completed. Consider taking a Cal-GETC General Education course. Visit www.assist.org to see options.

Career Connections

2-Year Degree Paths

Entry points students may pursue after associate-level study, technical preparation, or licensure pathways.

No locally mapped occupations in the current dataset point cleanly to an immediate 2-year outcome for this program.

4-Year Degree Paths

Roles that more often open up after transfer and a bachelor's degree.

Example roles: 1

Mathematicians

Graduate School Paths

Advanced roles commonly associated with graduate, professional, or post-baccalaureate study.

No locally mapped occupations in the current dataset are grouped into the graduate-school pathway for this program.

Local Job Market

MathematiciansSOC 15-20211 nearby opening

Search keyword used: data analyst · Search window: last 30 days, 25-mile radius

Top employers in sample

Adventist Health 1

Where the postings are

Linda, Yuba County 1

Sample current postings

Policy & Procedures Coordinator (Rideout)Adventist Health · Linda, Yuba County · 2 days ago

See all openings on Adzuna

Posting counts come from Adzuna's index of US job boards, covering the last 30 days within 25 miles of ZIP 95965. Coverage and salary visibility vary by employer. Empty searches expand the radius and posting window before the section gives up.

Source Notes

Course sequencing is generated from the Acadia Program Mapper cache. Career groupings use local CIP-to-SOC mappings and BLS occupation data when available. Confirm education plans with Counseling and Advising.

Live wage data was not available from the BLS helper for the mapped occupations, so some pay fields may be blank.

Last generated 2026-06-12T23:21+00:00

Program Snapshot

Next Steps

2-Year Degree Paths

4-Year Degree Paths

Graduate School Paths

Top employers in sample

Where the postings are

Sample current postings

Source Notes