Home Catalog Programs of Study List of Programs Mathematics and Statistics

Mathematics and Statistics

Overview Degrees/Certificates Courses

ARC offers mathematics and statistics courses to meet the educational goals of all our students, which include personal enrichment, associate degrees, certificates, and transferring to a university. Some of our courses serve a wide range of academic goals, such as MATH 333: College Algebra for Liberal Arts, while other courses are geared toward specific goals, such as MATH 341: Calculus for Business and Economics. In a data-driven culture, we help students understand how mathematics and statistics can be used in the world around us.

Our mathematics and statistics faculty come from a wide variety of backgrounds and are proud of the variety of ways we support our students. Our courses are offered in several modalities, such as face-to-face, online, and hybrid. We also have a Math Learning Center that enables students to work independently on some courses under the guidance of a faculty member with tutorial support. Many of our courses are linked with a concurrent support course so that students can strengthen the skills needed for success in the transfer-level course. Our thriving MESA program supports students majoring in STEM, especially first-generation college students. Students can find community and a variety of opportunities in their HomeBase.

Please note: In compliance with CA Legislation AB 705 and AB 1705, pre-transfer-level courses (that is, those numbered below 300, such as MATH 120) are no longer offered.

Math Course Sequence

Degrees Offered

A.S.-T. in Mathematics
A.S. in Mathematics
A.S. in Physical Science/Mathematics

Dean Michelle Brock
Department Chairs Rocio Owens
Sonya Reichel
Phone (916) 484-8215
Email askhb-STEM@arc.losrios.edu

Associate Degrees for Transfer

A.S.-T. in Mathematics

The Associate in Science in Mathematics for Transfer (AS-T) program provides students with a major that fulfills the general requirements for transfer to a 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 American River 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.

Students must complete the following Associate Degree for Transfer (ADT) requirements (pursuant to SB1440, §66746):
• 60 semester or 90 quarter CSU-transferable units
• the California General Education Transfer Curriculum (Cal-GETC) pattern
• a minimum of 18 semester or 27 quarter units in the major or area of emphasis as determined by the community college district
• obtain a minimum grade point average (GPA) 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. A "P" (Pass) grade is also an acceptable grade for courses in the major if the course is taken on a Pass/No Pass basis.

Catalog Date: August 1, 2025

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) the California General Education Transfer Curriculum (Cal-GETC) Requirement.

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

This degree provides a mathematical foundation for students preparing to transfer to a four-year program in mathematics or statistics. Coursework includes a three-semester calculus series, differential equations, linear algebra, and statistics and/or symbolic logic.

Catalog Date: August 1, 2025

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 C1000	Introduction to Statistics (4)
or STAT C1000H	Introduction to Statistics - Honors (4)
Total Units:		25

The Mathematics Associate in Science (A.S.) degree may be obtained by completion of the required program, and either (a) the Local General Education Pattern or (b) the California General Education Transfer Curriculum (Cal-GETC), plus sufficient electives for a total of at least 60 units. 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 prepares for transfer to a four-year program in science, technology, engineering, or mathematics (STEM).

Catalog Date: August 1, 2025

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 338	Chemistry In Your World (3)
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 392	Field Studies in Mountain Landscapes (1 - 4)
GEOL 393	Field Studies in Coastal Landscapes (1 - 4)
GEOL 394	Field Studies in Volcanic Landscapes (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 309	Calculus Concepts for non-STEM Majors (3)
MATH 310	Mathematical Discovery (3)
MATH 320	Symbolic Logic (3)
or PHIL 324	Symbolic Logic (3)
MATH 333	College Algebra for Liberal Arts (3)
MATH 340	Calculus for Business and Economics (3)
MATH 341	Calculus for Business and Economics (4)
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 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 C1000	Introduction to Statistics (4)
or STAT C1000H	Introduction to Statistics - Honors (4)
STAT 305	Statway, Part II (6)
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, and either (a) the Local General Education Pattern or (b) the California General Education Transfer Curriculum (Cal-GETC), plus sufficient electives for a total of at least 60 units. 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.

Mathematics (MATH) Courses

MATH 145 Mathematics for the Trades

Units:1.5
Hours:23 hours LEC; 12 hours LAB
Prerequisite:None.
Catalog Date:August 1, 2025

This course introduces mathematics applicable to technical programs of study. Topics include the use of mathematical operators on whole numbers, fractions, and decimals. Additional content includes fundamentals of algebra, basic geometry, and triangle trigonometry. This course is intended for those in Pre-Apprenticeship programs or other technical educational programs. Completion of this course does not fulfill any prerequisites for any course, including MATH courses, at American River College.

MATH 300 Introduction to Mathematical Ideas

Units:3
Hours:54 hours LEC
Prerequisite:Through the Los Rios Placement Process or successful completion of Algebra II/Integrated Math 3 or Intermediate Algebra.
Transferable:CSU; UC
General Education:Local GE L2; Cal-GETC Area 2
Catalog Date:August 1, 2025

This course makes fundamental concepts and processes more meaningful for non-mathematics majors through a study of several mathematical topics, including the history of mathematics, numeration systems, logic, geometry, algebraic modeling, combinatorics, probability, statistics, sets, matrices, consumer mathematics, equations and inequalities, functions and graphs, problem solving, graph theory, voting and apportionment, and number theory. It is not recommended for students entering elementary school teaching or business administration majors.

MATH 309 Calculus Concepts for non-STEM Majors

Units:3
Hours:54 hours LEC
Prerequisite:Through the Los Rios Placement Process or successful completion of Algebra II/Integrated Math 3 or Intermediate Algebra.
Transferable:CSU; UC
General Education:Local GE L2; Cal-GETC Area 2
Catalog Date:August 1, 2025

This course presents the basic concepts and applications of calculus without the technicalities of engineering-level courses, providing a perspective on the foundational tools of our high-tech society. Topics include finding rates of change, aggregating various quantities, and basic applications in finding slopes, speeds, areas, volumes, and optimal values.

MATH 310 Mathematical Discovery

Units:3
Hours:54 hours LEC
Prerequisite:Through the Los Rios Placement Process or successful completion of Algebra II/Integrated Math 3 or Intermediate Algebra.
Transferable:CSU; UC
General Education:Local GE L2
Catalog Date:August 1, 2025

This course explores mathematical patterns and relations as well as the formulation and proof of conjectures. Topics from number theory, probability and statistics, and geometry are investigated. This course is recommended for students interested in a degree in education.

MATH 320 Symbolic Logic

Same As:PHIL 324
Units:3
Hours:54 hours LEC
Prerequisite:Through the Los Rios Placement Process or successful completion of Algebra II/Integrated Math 3 or Intermediate Algebra.
Transferable:CSU; UC
General Education:Local GE L1B; Local GE L2
C-ID:C-ID PHIL 210
Catalog Date:August 1, 2025

This course is an introduction to symbolic logic. It includes a study of the logic of sentences (propositional logic) and the logic of classes and relations (predicate logic), together with an introduction to the nature of deductive systems. This course is not open to students who have completed PHIL 324.

MATH 333 College Algebra for Liberal Arts

Units:3
Hours:54 hours LEC
Prerequisite:Through the Los Rios Placement Process or High School Algebra 2 or Integrated Math 3 or Intermediate Algebra.
Transferable:CSU; UC (UC Credit Limitation: All College Algebra and Pre-Calculus courses limited to a single course with a maximum of 5 semester / 7.5 quarter units)
General Education:Local GE L2; Cal-GETC Area 2
Catalog Date:August 1, 2025

This course is a transfer-level algebra course for majors in the liberal arts (non-STEM fields). Topics include absolute value, polynomial, rational, radical, exponential, and logarithmic functions; solving equations involving these functions; graphing these functions using transformations; solving linear and nonlinear inequalities; systems of equations; complex numbers; and inverse functions.

MATH 340 Calculus for Business and Economics

Units:3
Hours:54 hours LEC
Prerequisite:Through the Los Rios Placement Process or successful completion of Algebra II/Integrated Math 3 or Intermediate Algebra.
Transferable:CSU; UC (UC credit limitation: MATH 340, 350 & 400 combined: maximum credit, one course)
General Education:Local GE L2; Cal-GETC Area 2
C-ID:C-ID MATH 140
Catalog Date:August 1, 2025

This course introduces how differential calculus and integral calculus are used in the fields of business, economics, social science, and biological science. Topics include finding limits, applying various rules to find derivatives of polynomial, rational, exponential, and logarithmic functions, as well as using derivatives to analyze marginal cost, revenue, and profit. It is not recommended for mathematics and physical science majors.

MATH 341 Calculus for Business and Economics

Units:4
Hours:72 hours LEC
Prerequisite:Through the Los Rios Placement Process or successful completion of Algebra II/Integrated Math 3 or Intermediate Algebra.
Transferable:CSU; UC
General Education:Cal-GETC Area 2
Catalog Date:August 1, 2025

This course is designed around applications of sets, functions, limits, analytic geometry, and the differential and integral calculus in an economic and business context. This course is intended for business students; it is not recommended for mathematics and physical science majors. This course is not open to students who have completed Math 340.

MATH 342 Modern Business Mathematics

Units:3
Hours:54 hours LEC
Prerequisite:Through the Los Rios Placement Process or successful completion of Algebra II/Integrated Math 3 or Intermediate Algebra.
Transferable:CSU; UC
General Education:Local GE L2; Cal-GETC Area 2
Catalog Date:August 1, 2025

This course is designed around applications of mathematics in economic and business contexts. Specific topics include functions and related business formulas, tables and graphs, finance (interest and exponential models in economics), rates of change, applications and optimization, and linear programming.

MATH 355 Calculus for Biology and Medicine I

Units:4
Hours:72 hours LEC
Prerequisite:MATH 373 or 375 with a grade of "C" or better, or placement through the assessment process.
Transferable:CSU; UC
General Education:Local GE L2; Cal-GETC Area 2
Catalog Date:August 1, 2025

This course is an introduction to differential calculus and elementary differential equations via applications in biology and medicine. It covers limits, derivatives of polynomials, trigonometric and exponential functions, graphing, and applications of the derivative to biology and medicine. Topics include the Fundamental Theorem of Calculus and techniques of integration, including integral tables and numerical methods.

MATH 356 Calculus for Biology and Medicine II

Units:4
Hours:72 hours LEC
Prerequisite:MATH 355 with a grade of "C" or better
Transferable:CSU; UC
General Education:Local GE L2; Cal-GETC Area 2
Catalog Date:August 1, 2025

This course covers matrix algebra with eigenvalues and eigenvectors, systems of linear equations, functions of several variables, partial derivatives, systems of differential equations, and applications to biology and medicine.

MATH 372 College Algebra for Calculus

Units:4
Hours:72 hours LEC
Prerequisite:Through the Los Rios Placement Process or successful completion of Algebra II/Integrated Math 3 or Intermediate Algebra.
Transferable:CSU; UC (UC Credit Limitation: All College Algebra and Pre-Calculus courses limited to a single course with a maximum of 5 semester / 7.5 quarter units)
General Education:Local GE L2; Cal-GETC Area 2
Catalog Date:August 1, 2025

This course provides a rigorous treatment of college-level algebra and its applications, with a particular focus on preparing students for the calculus sequence for Science, Technology, Engineering, and Mathematics (STEM) majors. Topics include polynomial, rational, radical, exponential, absolute value, and logarithmic functions, graphs, and equations; systems of equations; the theory of polynomial equations; analytic geometry including conics; and an introduction to sequences and series. Emphasis is given to analytical reasoning and problem-solving.
This course may be taken concurrently with MATH 373, Trigonometry for Calculus. Completion of both MATH 372 AND MATH 373 with grades of "C" or better meets the prerequisite for MATH 400, Calculus I.

MATH 373 Trigonometry for Calculus

Units:4
Hours:72 hours LEC
Prerequisite:Through the Los Rios Placement Process or successful completion of Algebra II/Integrated Math 3 or Intermediate Algebra.
Transferable:CSU; UC
General Education:Local GE L2; Cal-GETC Area 2
Catalog Date:August 1, 2025

This course provides a rigorous treatment of trigonometry and its applications, with a particular focus on preparing students for the calculus sequence for science, technology, engineering, and mathematics (STEM) majors. It emphasizes the study of trigonometric functions from numerical, graphical, and algebraic descriptions. Topics include functions and their graphs, transformations of functions, geometric properties of circles and triangles, degree and radian measurements of angles, right triangle trigonometry, reference angle trigonometry, unit circle trigonometry, graphs and transformations of trigonometric functions, verifying and applying trigonometric identities, inverse trigonometric functions, solving trigonometric equations, solving triangles using the Law of Sines and the Law of Cosines, vectors, the polar coordinate system, and roots and powers of complex numbers including De Moivre's Theorem. This course may be taken concurrently with MATH 372, College Algebra for Calculus. Completion of both MATH 372 AND MATH 373 with grades of "C" or better meets the prerequisite for MATH 400, Calculus I.

MATH 375 Pre-Calculus

Units:6
Hours:108 hours LEC
Prerequisite:Through the Los Rios Placement Process or successful completion of Algebra II/Integrated Math 3 or Intermediate Algebra.
Transferable:CSU; UC (UC Credit Limitation: All College Algebra and Pre-Calculus courses limited to a single course with a maximum of 5 semester / 7.5 quarter units)
General Education:Local GE L2; Cal-GETC Area 2
Catalog Date:August 1, 2025

This course provides a rigorous treatment of the foundational mathematical concepts and skills that will prepare students for the calculus sequence for science, technology, engineering, and mathematics (STEM) majors. Topics include polynomial, absolute value, rational, radical, exponential, and logarithmic functions, with graphing and applications; trigonometric functions and their inverses, including graphs, proving identities, trigonometric equations, and solving triangles; systems of equations and inequalities; analytic geometry and conics; vectors and polar coordinates; and an introduction to sequences and series. It emphasizes analytical reasoning and problem-solving.

MATH 383 Preparation for Calculus

Units:4
Hours:72 hours LEC
Prerequisite:Through the Los Rios Placement Process or successful completion of Algebra II/Integrated Math 3 or Intermediate Algebra.
Transferable:CSU; UC
General Education:Local GE L2
Catalog Date:August 1, 2025

This course is intended to prepare students for success in Calculus. It focuses on essential algebraic and trigonometric skills that are necessary for success in a first-semester calculus course. Topics include polynomial, absolute value, rational, radical, exponential, and logarithmic functions, with graphing and applications; trigonometric functions and their inverses, including graphs, proving identities, trigonometric equations, and solving triangles.

MATH 400 Calculus I

Units:5
Hours:90 hours LEC
Prerequisite:MATH 370 (Pre-Calculus Mathematics), OR MATH 375 (Pre-Calculus Mathematics), OR MATH 372 (College Algebra for Calculus) AND MATH 373 (Trigonometry for Calculus) with grades of "C" or better, or placement through the assessment process.
Transferable:CSU; UC (UC credit limitation:MATH 340, 350 & 400 combined: maximum credit, one course)
General Education:Local GE L2; Cal-GETC Area 2
C-ID:C-ID MATH 210; Part of C-ID MATH 900S
Catalog Date:August 1, 2025

This course is an introduction to differential and integral calculus. It covers limits, continuity, differentiation and integration of algebraic, trigonometric, logarithmic, exponential, and other transcendental functions. Some applications are also covered.

MATH 401 Calculus II

Units:5
Hours:90 hours LEC
Prerequisite:MATH 400 with a grade of "C" or better
Transferable:CSU; UC (UC credit limitation: MATH 351 & 401 combined: maximum credit, one course)
General Education:Local GE L2; Cal-GETC Area 2
C-ID:C-ID MATH 220; Part of C-ID MATH 900S
Catalog Date:August 1, 2025

This course is a continuation of MATH 400. It builds on the methods of integration learned in MATH 400, and also covers improper integrals, sequences, infinite series, power series, polar coordinates, and parametric and polar equations. Many calculus applications are also included.

MATH 402 Calculus III

Units:5
Hours:90 hours LEC
Prerequisite:MATH 401 with a grade of "C" or better
Transferable:CSU; UC
General Education:Local GE L2; Cal-GETC Area 2
C-ID:C-ID MATH 230
Catalog Date:August 1, 2025

This course is a continuation of MATH 401. It extends the concepts of limits, derivatives, and integrals to vector-valued functions and multivariate functions. The topics include multivariate functions, partial derivatives, extrema of multivariate functions, iterated integrals, development of vector calculus, line integrals, three-dimensional analytic geometry, and Green's, Gauss' (Divergence), and Stokes' Theorems. Many applications of calculus are also covered.

MATH 410 Introduction to Linear Algebra

Units:3
Hours:54 hours LEC
Prerequisite:MATH 401 with a grade of "C" or better
Advisory:MATH 402
Transferable:CSU; UC
General Education:Local GE L2; Cal-GETC Area 2
C-ID:C-ID MATH 250; Part of C-ID MATH 910S
Catalog Date:August 1, 2025

This course provides an introduction to linear algebra including matrices, determinants, vector spaces, inner product spaces, linear transformations, and eigenvectors. It is intended for majors in mathematics, engineering, economics, science, and related fields. This course emphasizes cogent reasoning, mathematical proof, and problem solving.

MATH 420 Differential Equations

Units:4
Hours:72 hours LEC
Prerequisite:MATH 401 with a grade of "C" or better
Advisory:MATH 402
Transferable:CSU; UC
General Education:Local GE L2; Cal-GETC Area 2
C-ID:C-ID MATH 240; Part of C-ID MATH 910S
Catalog Date:August 1, 2025

This course is a study of ordinary differential equations, including linear equations, systems of equations, equations with variable coefficients, existence and uniqueness of solutions, series solutions, singular points, transform methods, boundary value problems, and applications.

MATH 480 Honors Seminar in Mathematics

Units:1
Hours:18 hours LEC
Prerequisite:None.
Transferable:CSU
Catalog Date:August 1, 2025

Honors Seminar in Mathematics is a one-unit intensive course. The course is taught in a seminar format where work is done independently in pursuit of solutions to challenging problems in mathematics in consultation with the instructor. Seminar participants will explore strategies and techniques for solving problems and present their solutions to the class.

MATH 495 Independent Studies in Mathematics

Units:1 - 3
Hours:54 - 162 hours LAB
Prerequisite:None.
Transferable:CSU
Catalog Date:August 1, 2025

Independent Study is an opportunity for the student to extend classroom experience in this subject, while working independently of a formal classroom situation. Independent study is an extension of work offered in a specific class in the college catalog. To be eligible for independent study, students must have completed the basic regular catalog course at American River College. They must also discuss the study with a professor in this subject and secure approval. Only one independent study for each catalog course will be allowed.

MATH 499 Experimental Offering in Mathematics

Units:0.5 - 4
Prerequisite:None.
Transferable:CSU
Catalog Date:August 1, 2025

This is the experimental courses description.

Mathematics Support (MATHS) Courses

MATHS 33 Support for College Algebra for Liberal Arts

Units:2
Hours:36 hours LEC
Prerequisite:None.
Corequisite:MATH 333; Concurrent enrollment in MATH 333.
Catalog Date:August 1, 2025

This course provides intensive instruction and practice in the core mathematical skills, competencies, and concepts necessary for success in MATH 333 (College Algebra for Liberal Arts). The content of this course is designed to provide arithmetic and algebraic support to students as they learn related concepts in their corequisite course. Topics and homework assignments are often connected to assignments in the corequisite course. This course is graded Pass/No Pass.

MATHS 45 Support for Business Mathematics

Units:2
Hours:36 hours LEC
Prerequisite:None.
Corequisite:Concurrent enrollment in MATH 341 or MATH 342
Catalog Date:August 1, 2025

This course provides intensive instruction and practice in the core mathematical skills, competencies, and concepts necessary for success in Calculus for Business and Economics (MATH 341) and Modern Business Mathematics (MATH 342). The content of this course is designed to provide arithmetic and algebraic support to students as they learn related concepts in their corequisite course. Topics and homework assignments are often connected to students’ assignments in the corequisite course. This course is graded Pass/No Pass.

MATHS 60 Support for Calculus I

Units:2
Hours:36 hours LEC
Prerequisite:None.
Corequisite:Concurrent enrollment in MATH 400 (Calculus I)
Catalog Date:August 1, 2025

This course provides intensive instruction and practice in the core mathematical skills, competencies, and concepts necessary for success in MATH 400. The content of this course is designed to provide arithmetic, algebra, geometry, trigonometry, and learning skills support to students as they learn concepts in their Calculus I course. Topics and homework assignments are often connected to assignments in the Calculus I course. This course is graded Pass/No Pass.

MATHS 61 Support for Calculus II

Units:2
Hours:36 hours LEC
Prerequisite:None.
Corequisite:Concurrent enrollment in MATH 401 (Calculus II)
Catalog Date:August 1, 2025

This course provides intensive instruction and practice in the core mathematical skills, competencies, and concepts necessary for success in MATH 401. The content of this course is designed to provide arithmetic, algebra, geometry, trigonometry, and learning skills support to students as they learn concepts in their Calculus II course. Topics and homework assignments are often connected to assignments in the Calculus II course. This course is graded Pass/No Pass.

MATHS 65 Support for Calculus for Biology and Medicine I

Units:2
Hours:36 hours LEC
Prerequisite:None.
Corequisite:Concurrent enrollment in MATH 355 (Calculus for Biology and Medicine I)
Catalog Date:August 1, 2025

This course provides intensive instruction and practice in the core mathematical skills, competencies, and concepts necessary for success in MATH 355. The content of this course is designed to provide arithmetic, algebra, geometry, trigonometry, and learning skills support to students as they learn concepts in their Calculus for Biology and Medicine I course. Topics and homework assignments are often connected to assignments in MATH 355. This course is graded Pass/No Pass.

MATHS 66 Support for Calculus for Biology and Medicine II

Units:2
Hours:36 hours LEC
Prerequisite:None.
Corequisite:Concurrent enrollment in MATH 356 (Calculus for Biology and Medicine II)
Catalog Date:August 1, 2025

This course provides intensive instruction and practice in the core mathematical skills, competencies, and concepts necessary for success in MATH 356. The content of this course is designed to provide arithmetic, algebra, geometry, trigonometry, and learning skills support to students as they learn concepts in their Calculus for Biology and Medicine II course. Topics and homework assignments are often connected to assignments in MATH 356. This course is graded Pass/No Pass.

MATHS 72 Support for College Algebra for Calculus

Units:2
Hours:36 hours LEC
Prerequisite:None.
Corequisite:Concurrent enrollment in MATH 372
Catalog Date:August 1, 2025

This course provides intensive instruction and practice in the core mathematical skills, competencies, and concepts necessary for success in MATH 372 (College Algebra for Calculus). The content of this course is designed to provide arithmetic and algebraic support to students as they learn related concepts in their corequisite course. Topics and homework assignments are often connected to assignments in the corequisite course. This course is graded Pass/No Pass.

MATHS 73 Support Course for Trigonometry for Calculus

Units:2
Hours:36 hours LEC
Prerequisite:None.
Corequisite:Concurrent enrollment in MATH 373
Catalog Date:August 1, 2025

This course provides intensive instruction and practice in the core mathematical skills, competencies, and concepts necessary for success in Trigonometry for Calculus (MATH 373). The course content is designed to provide arithmetic, algebra, geometry and learning skills support to students as they learn related concepts in their corequisite course. Topics and homework assignments are often connected to students’ assignments in the corequisite course. This course is graded Pass/No Pass.

MATHS 75 Support for Pre-Calculus

Units:3
Hours:54 hours LEC
Prerequisite:None.
Corequisite:Concurrent enrollment in MATH 375
Catalog Date:August 1, 2025

This course provides intensive instruction and practice in the core mathematical skills, competencies, and concepts necessary for success in MATH 375 (Pre-Calculus). The content of this course is designed to provide arithmetic, algebra, geometry, and learning skills support to students as they learn related concepts in their corequisite course. Topics and homework assignments are often connected to assignments in the corequisite course. This course is graded Pass/No Pass.

MATHS 83 Support for Preparation for Calculus

Units:2
Hours:36 hours LEC
Prerequisite:None.
Corequisite:Concurrent enrollment in MATH 383 (Preparation for Calculus)
Catalog Date:August 1, 2025

This course provides intensive instruction and practice in the core mathematical skills, competencies, and concepts necessary for success in MATH 383. The content of this course is designed to provide arithmetic, algebra, geometry, trigonometry, and learning skills support to students as they learn concepts in their Preparation for Calculus course. Topics and homework assignments are often connected to assignments in MATH 383. This course is graded Pass/No Pass.

MATHS 95 Support for Introduction to Mathematical Ideas

Units:2
Hours:36 hours LEC
Prerequisite:None.
Corequisite:Concurrent enrollment in MATH 300
Catalog Date:August 1, 2025

This course provides intensive instruction and practice in the core mathematical skills, competencies, and concepts necessary for success in MATH 300 (Introduction to Mathematical Ideas).
The content of this course is designed to provide arithmetic and algebraic support to students as they learn related concepts in their corequisite course. Topics and homework assignments are often connected to assignments in the corequisite course. This course is graded Pass/No Pass.

MATHS 299 Experimental Offering in Mathematics Support

Units:0.5 - 4
Prerequisite:None.
Catalog Date:August 1, 2025

This is the experimental courses description.

MATHS 499 Experimental Offering in Mathematics Support

Units:0.5 - 4
Prerequisite:None.
Catalog Date:August 1, 2025

This is the experimental courses description.

Statistics (STAT) Courses

STAT 10 Support for Introduction to Statistics

Units:2
Hours:36 hours LEC
Prerequisite:None.
Corequisite:Concurrent enrollment in STAT C1000
Catalog Date:August 1, 2025

This course provides intensive instruction and practice in the core mathematical skills, competencies, and concepts necessary for success in STAT C1000 (Introduction to Statistics). The content of this course is designed to help students develop effective learning strategies, and to provide arithmetic, algebraic, and geometric support as they learn concepts in the statistics course. Topics and homework assignments are often connected to assignments in the statistics course. Support using the required statistical technology package is also included. This course is graded Pass/No Pass.

STAT C1000 Introduction to Statistics

Units:4
Hours:72 hours LEC
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.
Transferable:CSU; UC (UC credit limitation: ECON 310, PSYC 330, STAT C1000/300, STAT C1000H/480, and STAT 305 combined: maximum credit, 1 course )
General Education:Local GE L2; Cal-GETC Area 2
C-ID:C-ID MATH 110
Catalog Date:August 1, 2025

This course was formerly known as STAT 300 Introduction to Probability and Statistics.

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. Statistical analysis using a statistical software package such as, but not limited to, StatCrunch, R, SAS, SPSS, EXCEL, Minitab, Desmos, and/or graphing calculators is required. This course was formerly known as STAT 300 and is not open to students who have successfully completed STAT 300, 480, or C1000H.

STAT C1000H Introduction to Statistics - Honors

Units:4
Hours:72 hours LEC
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.
Transferable:CSU; UC (UC credit limitation: ECON 310, PSYC 330, STAT C1000/300, STAT C1000H/480, and STAT 305 combined: maximum credit, 1 course )
General Education:Local GE L2; Cal-GETC Area 2
C-ID:C-ID MATH 110
Catalog Date:August 1, 2025

This course was formerly known as STAT 480 Introduction to Probability and Statistics - Honors.

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 is an honors course. As an honors course, it uses an intensive instructional methodology designed to challenge motivated students, and includes a capstone project. Statistical analysis using a statistical software package such as, but not limited to, StatCrunch, R, SAS, SPSS, EXCEL, Minitab, Desmos, and/or graphing calculators is required. This course was formerly known as STAT 480 and is not open to students who have successfully completed STAT C1000, 300, or 480.

STAT 495 Independent Studies in Statistics

Units:1 - 3
Hours:54 - 162 hours LAB
Prerequisite:None.
Transferable:CSU
Catalog Date:August 1, 2025

STAT 499 Experimental Offering in Statistics

Units:0.5 - 4
Prerequisite:None.
Transferable:CSU
Catalog Date:August 1, 2025

This is the experimental courses description.

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