Mathematics and Statistics

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, 2026

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 (UC credit limitation: MATH 309, MATH 340, MATH 341, MATH 355 and MATH 400 combined: maximum credit, 1 course)
• General Education:Local GE L2; Cal-GETC Area 2
• Catalog Date:August 1, 2026

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, 2026

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, 2026

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.
• Enrollment Limitation:Due to California Assembly Bill 1705, this course is not available to students in majors that require Calculus.
• 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, 2026

This is a transfer-level college algebra course for majors in the Liberal Arts. Topics include linear, 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 309, MATH 340, MATH 341, MATH 355 and MATH 400 combined: maximum credit, 1 course)
• General Education:Local GE L2; Cal-GETC Area 2
• C-ID:C-ID MATH 140
• Catalog Date:August 1, 2026

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 (UC credit limitation: MATH 309, MATH 340, MATH 341, MATH 355 and MATH 400 combined: maximum credit, 1 course)
• General Education:Local GE L2; Cal-GETC Area 2
• Catalog Date:August 1, 2026

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, 2026

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 (UC credit limitation: MATH 309, MATH 340, MATH 341, MATH 355 and MATH 400 combined: maximum credit, 1 course)
• General Education:Local GE L2; Cal-GETC Area 2
• Catalog Date:August 1, 2026

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 (UC credit limitation: MATH 356 and MATH 401 combined: maximum credit, 1 course)
• General Education:Local GE L2; Cal-GETC Area 2
• Catalog Date:August 1, 2026

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, 2026

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 (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, 2026

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, 2026

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 (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 (effective Fall 2026)
• Catalog Date:August 1, 2026

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 309, MATH 340, MATH 341, MATH 355 and MATH 400 combined: maximum credit, 1 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, 2026

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 356 and MATH 401 combined: maximum credit, 1 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, 2026

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, 2026

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, 2026

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, 2026

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, 2026

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, 2026

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, 2026

This is the experimental courses description.

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, 2026

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, 2026

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, 2026

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, 2026

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, 2026

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, 2026

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, 2026

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, 2026

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, 2026

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, 2026

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, 2026

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, 2026

This is the experimental courses description.

MATHS 499 Experimental Offering in Mathematics Support

• Units:0.5 - 4
• Prerequisite:None.
• Catalog Date:August 1, 2026

This is the experimental courses description.

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, 2026

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, 2026

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 309 Introduction to Probability and Statistics for STEM

• Units:4
• Hours:72 hours LEC
• Prerequisite:MATH 400 with a grade of "C" or better, or placement through the assessment process.
• Transferable:CSU (effective Fall 2026); UC (effective Fall 2026)
• General Education:Local GE L2 (effective Fall 2026); Cal-GETC Area 2
• Catalog Date:August 1, 2026

This course is a calculus-based introduction to Probability and Statistics for STEM majors, or for those seeking a more advanced understanding of statistics. Topics include sample spaces, combinatorics, random variables, probability, density and distribution functions, discrete probability distributions, including binomial, uniform Poisson, exponential, normal, joint probability discrete distributions, expectation, variance, and covariance and the central limit theorem. This course also covers topics in statistical inference which include confidence intervals, hypothesis testing, sample size determinations, regression, and correlation.

Statistical analysis using a statistical software package is required.

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, 2026

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, 2026

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.

STAT 499 Experimental Offering in Statistics

• Units:0.5 - 4
• Prerequisite:None.
• Transferable:CSU
• Catalog Date:August 1, 2026

This is the experimental courses description.