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Mathematics & Statistics

Overview Degrees/Certificates Courses

Folsom Lake College's mathematics program provides students with the ability to think logically and abstractly and develop the problem-solving and computational skills necessary for success in any field of study. Mathematics is a multifaceted subject of great beauty and application. The study of mathematics explores some of the deepest puzzles that have ever been encountered and equips the student with a universal language used to study quantities and relationships in all fields.

View the Math and Statistics Placement and our Math and Statistics Course Sequence webpages.

Degrees and Certificates Offered

A.S.-T. in Mathematics
A.A. in Interdisciplinary Studies: Math and Science
A.S. in Mathematics
STEM Math Certificate

Division Dean Greg McCormac
Department Chair Kevin Pipkin
Phone (916) 608-6700
Email santorl@flc.losrios.edu

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: August 1, 2024

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 overall grade point average (GPA) of 2.0, including (a) a minimum grade of "C" (or "P") for each course in 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: August 1, 2024

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 400	General Chemistry I (5)
CHEM 401	General Chemistry II (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 333	Introduction to College Algebra (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: August 1, 2024

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: August 1, 2024

Certificate Requirements

Course Code	Course Title	Units
A minimum of 16 units from the following:		16
MATH 300	Introduction to Mathematical Ideas (3)
MATH 333	Introduction to College Algebra (3)
MATH 335	Trigonometry with College Algebra (5)
or MATH 373	Trigonometry for Calculus (4)
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)
or MATH 372	College Algebra for Calculus (4)
or 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)
STAT 300	Introduction to Probability and Statistics (4)
A student may only apply one calculus sequence to the certificate. Math 341 is one option. Math 355 and Math 356 is another option. Math 400 and Math 401 and Math 402 are the other option.
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.

Mathematics (MATH) Courses

MATH 10 Developing Confidence in Math

Units:1
Hours:18 hours LEC
Prerequisite:None.
Corequisite:MATH 20, 30, 100, 110, or 120
Catalog Date:August 1, 2024

This course helps students become more effective learners of mathematics. Topics addressed are how to overcome math anxiety and build confidence in math, study and note taking skills, time management, and test preparation.

Students must be enrolled in Math 20, 30, 100, 110 or 120 to take this course or have the permission of the instructor.

This course is graded on a Pass/No Pass basis.

MATH 20 Arithmetic

Units:5
Hours:90 hours LEC
Prerequisite:None.
Catalog Date:August 1, 2024

In compliance with CA Legislation AB 705 and AB 1705, THIS COURSE IS NOT CURRENTLY BEING OFFERED. This course provides group and individual instruction in the fundamentals of arithmetic with an emphasis on written and mental computational skills. In order to enhance mental computational skills, calculators will not be allowed. Topics include operations with whole numbers, fractions, decimals, signed numbers, percents, ratios, proportions, problem solving, and applications involving measurement and geometry.

MATH 30 Pre-Algebra Mathematics

Units:5
Hours:90 hours LEC
Prerequisite:None.
Advisory:MATH 20
Catalog Date:August 1, 2024

In compliance with CA Legislation AB 705 and AB 1705, THIS COURSE IS NOT CURRENTLY BEING OFFERED. This course in prealgebra mathematics emphasizes the fundamental operations on integers and decimals as well as in geometric figures, measurement, and algebra with an emphasis on written and mental computational skills. Topics include: fractions; decimals; signed numbers; properties of exponents; scientific notation; evaluation of expressions and formulas; linear equations; algebraic manipulations on polynomials; and the rectangular coordinate system.

MATH 100 Elementary Algebra

Units:5
Hours:90 hours LEC
Prerequisite:None.
Advisory:MATH 30
Catalog Date:August 1, 2024

In compliance with CA Legislation AB 705 and AB 1705, THIS COURSE IS NOT CURRENTLY BEING OFFERED. This course includes the fundamental concepts and operations of algebra with problem solving skills emphasized throughout. Topics include: properties of real numbers, linear equations and inequalities, integer exponents, polynomials, factoring polynomials, rational expressions and equations, radical expressions and equations, systems of linear equations and inequalities, the rectangular coordinate system, graphs and equations of lines, and solving quadratic equations.

MATH 110 Elementary Geometry

Units:5
Hours:90 hours LEC
Prerequisite:None.
Advisory:MATH 100
General Education:AA/AS Area II(b)
Catalog Date:August 1, 2024

In compliance with CA Legislation AB 705 and AB 1705, THIS COURSE IS NOT CURRENTLY BEING OFFERED. This course covers aspects of elementary geometry. Topics include terms and definitions, properties of parallel lines and parallelograms, congruent and similar triangles, properties of triangles, right triangles, and basic trigonometry. Later topics include properties of circles, construction of loci, areas, and volumes. The course also emphasizes problem solving strategies, elementary logic, and reading and writing proofs. Students may be required to purchase a compass, straight edge or ruler, and a protractor.

MATH 120 Intermediate Algebra

Units:5
Hours:90 hours LEC
Prerequisite:None.
Advisory:MATH 100
General Education:AA/AS Area II(b)
Catalog Date:August 1, 2024

In compliance with CA Legislation AB 705 and AB 1705, THIS COURSE IS NOT CURRENTLY BEING OFFERED. This course reviews and extends the concepts of elementary algebra with problem solving skills emphasized throughout. Topics which are reviewed and extended include: linear and quadratic equations, factoring polynomials, rational expressions, exponents, radicals, equations of lines, and systems of equations. New topics include: larger systems of equations, absolute value equations and inequalities, rational exponents, translations and reflections of key function graphs, function notation and function operations, exponential and logarithmic functions, graphs of quadratic and simple polynomial functions, quadratic inequalities, non-linear systems of equations, and an introduction to conic sections.

MATH 125 Intermediate Algebra for Statistics and Liberal Arts

Units:4
Hours:72 hours LEC
Prerequisite:None.
Advisory:MATH 100
General Education:AA/AS Area II(b)
Catalog Date:August 1, 2024

In compliance with CA Legislation AB 705 and AB 1705, THIS COURSE IS NOT CURRENTLY BEING OFFERED. This course meets the prerequisite to STAT 300, Math 310, Math 300, and PSYC 330 and is intended for Liberal Arts Majors. The course topics include equations and functions that are linear, quadratic, radical, rational, exponential, and logarithmic. This course will feature discovery activities that utilize technology to help deal with applications to real data sets and problems which are current and relevant.

MATH 295 Independent Studies in Mathematics

Units:1 - 3
Hours:54 - 162 hours LAB
Prerequisite:None.
Catalog Date:August 1, 2024

MATH 299 Experimental Offering in Mathematics

Units:0.5 - 4
Prerequisite:None.
Catalog Date:August 1, 2024

This is the experimental courses description.

MATH 300 Introduction to Mathematical Ideas

Units:3
Hours:54 hours LEC
Prerequisite:MATH 120 with a grade of "C" or better, or placement through the assessment process.
Transferable:CSU; UC
General Education:AA/AS Area II(b); CSU Area B4; IGETC Area 2
Catalog Date:August 1, 2024

This course is intended for liberal arts students but may be of interest to others as well. Several specific topics will be covered including number theory, algebraic modeling, geometry, combinatorics, probability, statistics, trigonometry, graph theory, and voting and apportionment. This course is not recommended for students entering elementary school teaching or for business administration majors. A graphing calculator may be required.

MATH 310 Mathematical Discovery

Units:3
Hours:54 hours LEC
Prerequisite:Math 333 Introduction to College Algebra or Math 120 Intermediate Algebra or Algebra 2 in high school or Integrated Math 3 in high school.
Transferable:CSU; UC
General Education:AA/AS Area II(b); CSU Area B4
Catalog Date:August 1, 2024

This course is designed to enhance students' understanding of mathematics by involving them in the mathematical process of exploration, conjecture, and proof. Students will explore mathematical patterns and relations, formulate conjectures, and prove their conjectures. Areas of mathematics from which content may be derived include number theory, statistics, probability, geometry, and sequences and series. This course is recommended for students interested in a career in education.

MATH 333 Introduction to College Algebra

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
General Education:AA/AS Area II(b); CSU Area B4; IGETC Area 2
Catalog Date:August 1, 2024

This course is a transfer-level college algebra course for all majors. Topics include absolute value, polynomial, rational, radical, exponential, and logarithmic functions; solving equations involving these functions; graphing these functions using rigid and non-rigid transformations; solving linear and nonlinear inequalities; systems of equations; complex numbers; and inverse functions.

MATH 335 Trigonometry with College Algebra

Units:5
Hours:90 hours LEC
Prerequisite:Math 333 Introduction to College Algebra or Math 120 Intermediate Algebra or Algebra 2 in high school or Integrated Math 3 in high school.
Transferable:CSU; UC
General Education:AA/AS Area II(b); CSU Area B4
Catalog Date:August 1, 2024

This is a full trigonometry course with college algebra concepts reviewed, extended, and integrated when they are relevant to the trigonometric concepts. The trigonometric topics include right triangle trigonometry, unit circle trigonometry, graphs of trigonometric functions, proofs of trigonometric identities, solving trigonometric equations, applications of trigonometric functions (laws of sines and cosines), inverse trigonometric functions, polar coordinates, graphing polar functions, and 2-dimensional vectors. The algebra topics include exponential and logarithmic functions, complex numbers, in addition to solving equations, inequalities, and systems of equations. A graphing calculator may be required for this course.

MATH 341 Calculus for Business and Economics

Units:4
Hours:72 hours LEC
Prerequisite:Math 333 Introduction to College Algebra or Math 120 Intermediate Algebra or Algebra 2 in high school or Integrated Math 3 in high school.
Transferable:CSU; UC (UC credit limitation: MATH 341, MATH 355 and MATH 400 combined: Maximum credit, one course )
General Education:AA/AS Area II(b); CSU Area B4; IGETC Area 2
C-ID:C-ID MATH 140
Catalog Date:August 1, 2024

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.

MATH 343 Modern Business Mathematics

Units:4
Hours:72 hours LEC
Prerequisite:MATH 120 with a grade of "C" or better, or placement through the assessment process.
Transferable:CSU
General Education:AA/AS Area II(b); CSU Area B4
Catalog Date:August 1, 2024

This course is designed around applications of mathematics in an economic and business context. The major topics included are functions, finance (interest and exponential models), rates of change, optimization, and linear programming. The content of the course is structured to incorporate tables, graphs and data sets collected from real-world situations. This course is not recommended for mathematics or physical science majors. A scientific calculator will be required.

MATH 355 Calculus for Biology and Medicine I

Units:4
Hours:72 hours LEC
Prerequisite:MATH 335 with a grade of "C" or better, or placement through the assessment process.
Transferable:CSU; UC (UC credit limitation: MATH 341, MATH 355 and MATH 400 combined: maximum credit, one course )
General Education:AA/AS Area II(b); CSU Area B4; IGETC Area 2
Catalog Date:August 1, 2024

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. This course does not meet the prerequisite for the Engineering Physics series.

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, one course. )
General Education:AA/AS Area II(b); CSU Area B4; IGETC Area 2
Catalog Date:August 1, 2024

This course covers matrix algebra with eigenvalues and eigenvectors, systems of linear equations, functions of several variables, partial derivatives, systems of differential equations, probability, and applications to biology and medicine. This course does not meet the prerequisite for the Engineering Physics series.

MATH 370 Pre-Calculus Mathematics

Units:5
Hours:90 hours LEC
Prerequisite:MATH 335 with a grade of "C" or better, or placement through the assessment process.
Transferable:CSU; UC
General Education:AA/AS Area II(b); CSU Area B4; IGETC Area 2
Catalog Date:August 1, 2024

This course is designed to prepare students for Calculus for STEM majors. Course content includes a brief review followed by an in-depth extension of the properties of polynomial, rational, exponential, logarithmic and trigonometric functions. Additional topics include systems of linear and non-linear equations and inequalities, conic sections, sequences and series, binomial theorem, analytic geometry, vectors, parametric, and polar equations. A graphing calculator may be required for this course.

MATH 372 College Algebra for Calculus

Units:4
Hours:72 hours LEC
Prerequisite:Math 333 or High School Algebra 2 or Integrated Math 3.
Transferable:UC
General Education:AA/AS Area II(b); CSU Area B4
Catalog Date:August 1, 2024

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. A calculator may be required for some aspects of this course.

MATH 373 Trigonometry for Calculus

Units:4
Hours:72 hours LEC
Prerequisite:Math 333 or High School Algebra 2 or Integrated Math 3.
Transferable:CSU; UC
General Education:AA/AS Area II(b); CSU Area B4
Catalog Date:August 1, 2024

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. A calculator will be required.

MATH 375 Pre-Calculus

Units:6
Hours:108 hours LEC
Prerequisite:MATH 333 with a grade of "C" or better, or placement through the assessment process.
Transferable:CSU; UC
General Education:AA/AS Area II(b); CSU Area B4
Catalog Date:August 1, 2024

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. The maximum UC transfer credit is 5 units for any combination of College Algebra and Precalculus courses. A calculator may be required for this course.

MATH 400 Calculus I

Units:5
Hours:90 hours LEC
Prerequisite:MATH 370 with a grade of "C" or better, or placement through the assessment process.
Transferable:CSU; UC (UC credit limitation: MATH 341, MATH 355 and MATH 400 combined: maximum credit, one course )
General Education:AA/AS Area II(b); CSU Area B4; IGETC Area 2
C-ID:C-ID MATH 210
Catalog Date:August 1, 2024

This course explores the basic concepts of analytic geometry, limits of functions, derivatives, and integrals. Topics covered will include finding the limits of functions by graphing and indeterminate forms of algebraic expressions. Derivatives and integrals involving algebraic, trigonometric, exponential, logarithmic, and inverse trigonometric functions will also be covered. Many applications will be covered, including those involving rectilinear motion, differentials, related rates, graphing, optimization, and finding areas of bounded regions. A graphing calculator may be required for this course.

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, one course )
General Education:AA/AS Area II(b); CSU Area B4; IGETC Area 2
C-ID:C-ID MATH 220
Catalog Date:August 1, 2024

This course is a continuation of MATH 400. Topics covered include techniques of integration, numerical integration, improper integrals, infinite series, parametric equations, polar coordinates, and conic sections. Many applications will be covered including those involving areas between plane regions, volumes of revolution, work, moments and concepts of mass, average value, arc length, and surface area. A graphing calculator may be required for this course.

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:AA/AS Area II(b); CSU Area B4; IGETC Area 2
C-ID:C-ID MATH 230
Catalog Date:August 1, 2024

This course extends the concepts of limits, derivatives and integrals to vector-valued functions and functions of more than one variable. Topics covered will include three-dimensional analytic geometry and vectors, partial derivatives, multiple integrals, line integrals, surface integrals, and the theorems of Green, Gauss (Divergence), and Stokes. Many applications of the calculus will be included. A graphing calculator may be required for this course.

MATH 410 Introduction to Linear Algebra

Units:3
Hours:54 hours LEC
Prerequisite:MATH 401 with a grade of "C" or better
Transferable:CSU; UC
General Education:AA/AS Area II(b); CSU Area B4
C-ID:C-ID MATH 250
Catalog Date:August 1, 2024

This course introduces linear algebra. Topics include matrices, determinants, systems of equations, vector spaces, linear transformations, eigenvectors, and applications. This course is intended for majors in mathematics, engineering, science, and related fields.

MATH 420 Differential Equations

Units:4
Hours:72 hours LEC
Prerequisite:MATH 401 with a grade of "C" or better
Transferable:CSU; UC
General Education:AA/AS Area II(b); CSU Area B4
C-ID:C-ID MATH 240
Catalog Date:August 1, 2024

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 495 Independent Studies in Mathematics

Units:1 - 3
Hours:54 - 162 hours LAB
Prerequisite:None.
Transferable:CSU
Catalog Date:August 1, 2024

MATH 499 Experimental Offering in Mathematics

Units:0.5 - 4
Prerequisite:None.
Transferable:CSU
Catalog Date:August 1, 2024

This is the experimental courses description.

Mathematics Support (MATHS) Courses

MATHS 15 Support for Intermediate Algebra

Units:3
Hours:54 hours LEC
Prerequisite:None.
Corequisite:MATH 120
Catalog Date:August 1, 2024

This course provides intensive instruction and practice in the core mathematical skills, competencies, and concepts necessary for success in MATH 120, Intermediate Algebra. You must be enrolled in the corresponding section of Math 120 while taking this course. Topics and homework assignments are often connected to the students' assignments in MATH 120. This class is graded on a pass/no pass basis and does not meet math competency.

MATHS 33 Support for Introduction to College Algebra

Units:2
Hours:36 hours LEC
Prerequisite:None.
Corequisite:MATH 333
Catalog Date:August 1, 2024

This course provides intensive instruction and practice in the core mathematical skills, competencies, and concepts necessary for success in Math 333, Introduction to College Algebra. You must be enrolled in the corresponding section of Math 333 while taking this course. Topics and homework assignments are often connected to the students' assignments in MATH 333. The course includes applications of the concepts and skills covered. This class is graded on a pass/no pass basis and does not meet math competency. A calculator may be required for this course.

MATHS 46 Support for Calculus for Business and Economics

Units:3
Hours:54 hours LEC
Prerequisite:None.
Corequisite:MATH 341
Catalog Date:August 1, 2024

This course provides intensive instruction and practice in the core mathematical skills, competencies, and concepts necessary for success in Math 341, Calculus for Business and Economics. You must be enrolled in the corresponding section of Math 341 while taking this course. Topics and homework assignments are often connected to the students' assignments in MATH 341. The course includes applications of the concepts and skills covered. This class is graded on a pass/no pass basis and does not meet math competency. A scientific calculator will be required for this course.

MATHS 55 Support for Trigonometry with College Algebra

Units:3
Hours:54 hours LEC
Prerequisite:None.
Corequisite:MATH 335
Catalog Date:August 1, 2024

This course provides intensive instruction and practice in the core mathematical skills, competencies, and concepts necessary for success in MATH 335: Trigonometry with College Algebra. You must be enrolled in the corresponding section of Math 335 while taking this course. Topics and homework assignments are often connected to the students' assignments in MATH 335. The course includes applications of the concepts and skills covered. A scientific calculator is required for this course. See notes on the e-schedule for more information. This class is graded on a pass/no pass basis and does not meet math competency.

MATHS 70 Support for College Algebra for Calculus

Units:3
Hours:54 hours LEC
Prerequisite:None.
Corequisite:MATH 372
Catalog Date:August 1, 2024

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 as well as affective domain skills. Topics and homework assignments are often connected to the students' assignments in MATH 372. The course includes applications of the concepts and skills covered. A calculator may be required. This course is graded on a Pass/No Pass basis and does not meet local math competency.

MATHS 73 Support Course for Trigonometry for Calculus

Units:2
Hours:36 hours LEC
Prerequisite:None.
Corequisite:MATH 373
Catalog Date:August 1, 2024

This course provides intensive instruction and practice in the core mathematical skills, competencies, and concepts necessary for success in Trigonometry for Calculus (MATH 373). Students taking this course must be concurrently enrolled in the corresponding section 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. A calculator is required. This course is graded on a Pass/No Pass basis and does not meet local math competency.

MATHS 75 Support for Pre-Calculus

Units:3
Hours:54 hours LEC
Prerequisite:None.
Corequisite:MATH 375
Catalog Date:August 1, 2024

This course provides intensive instruction and practice in the core mathematical skills, competencies, and concepts necessary for success in MATH 375 (Pre-Calculus). Students taking this course must be concurrently enrolled in the corresponding section of MATH 375. 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. A calculator will be required for this course. This course is graded on a Pass/No Pass basis and does not meet local math competency.

MATHS 80 Support for Calculus I

Units:0.25 - 2
Hours:13.5 - 108 hours LAB
Prerequisite:None.
Corequisite:MATH 400
Catalog Date:August 1, 2024

This course provides additional problem solving practice, theory practice, and study skills support for students concurrently enrolled in MATH 400, Calculus I. A student may take this class up to 2.0 units or 3 times, whichever comes first. A graphing calculator may be required. This class is graded on a pass/no pass basis and does not meet math competency.

MATHS 81 Calculus II: Problem Solving

Units:1
Hours:18 hours LEC
Prerequisite:None.
Corequisite:MATH 401
Catalog Date:August 1, 2024

This course provides additional problem solving practice, theory practice, and study skills support for students concurrently enrolled in MATH 401, Calculus II. Please refer to the class notes in the online schedule of classes for details to the particular sections of MATH 401 that will be associated with this section. This class is graded on a pass/no pass basis and does not meet math competency. A graphing calculator may be required.

MATHS 82 Calculus III: Problem Solving

Units:1
Hours:18 hours LEC
Prerequisite:None.
Corequisite:MATH 402
Catalog Date:August 1, 2024

This course provides additional problem solving practice, theory practice, and study skills support for students concurrently enrolled in MATH 402, Calculus III. Please refer to the class notes in the online schedule of classes for details to the particular sections of MATH 402 that will be associated with this section. This class is graded on a pass/no pass basis and does not meet math competency. A graphing calculator may be required.

MATHS 95 Support for Introduction to Mathematical Ideas

Units:2
Hours:36 hours LEC
Prerequisite:None.
Corequisite:MATH 300
Catalog Date:August 1, 2024

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. You must be enrolled in the corresponding section of Math 300 while taking this course. Topics and homework assignments are often related to the students' assignments in MATH 300. The course includes applications of the concepts and skills covered. This class is graded on a pass/no pass basis and does not meet math competency. A scientific calculator may be required for this course.

MATHS 299 Experimental Offering in Mathematics Support

Units:0.5 - 4
Prerequisite:None.
Catalog Date:August 1, 2024

This is the experimental courses description.

MATHS 499 Experimental Offering in Mathematics Support

Units:0.5 - 4
Prerequisite:None.
Catalog Date:August 1, 2024

This is the experimental courses description.

Statistics (STAT) Courses

STAT 10 Support for Introduction to Probability and Statistics

Units:2
Hours:36 hours LEC
Prerequisite:None.
Corequisite:STAT 300
Catalog Date:August 1, 2024

This course provides intensive instruction and practice in the core mathematical skills, competencies, and concepts necessary for success in STAT 300, Introduction to Probability and Statistics. You must be enrolled in the corresponding section of STAT 300 while taking this course. Topics and homework assignments are often connected to the students' assignments in STAT 300. The course includes applications of the concepts and skills covered. Students will be expected to use technology for data analysis. Appropriate technology includes at least one of the following: TI-Graphing calculator, StatCrunch, Excel, SPSS or Minitab. See class notes in the e-schedule for more information. This class is graded on a pass/no pass basis and does not meet math competency.

STAT 101 Pre-Statistics

Units:3
Hours:54 hours LEC
Prerequisite:MATH 100 with a grade of "C" or better, or placement through the assessment process.
Catalog Date:August 1, 2024

This course will satisfy the prerequisite to STAT 300. Topics include ratios, rates, and proportional reasoning; arithmetic with fractions, decimals and percents; evaluating expressions, solving equations, and analyzing formulas to understand statistical measures; use of linear and exponential functions to model bivariate data; graphical and numerical descriptive statistics for quantitative and categorical data. Note: This course is not intended for students who plan to take courses in science, computer information science, engineering, mathematics, physics, chemistry, or business related majors. A scientific or graphing calculator with 2-variable statistics capabilities is required.

STAT 300 Introduction to Probability and Statistics

Units:4
Hours:72 hours LEC
Prerequisite:MATH 120, MATH 125, MATH 333, or STAT 101 with a grade of "C" or better, or placement through the assessment process.
Transferable:CSU; UC (UC credit limitation: 330 and STAT 300 combined: maximum credit, one course)
General Education:AA/AS Area II(b); CSU Area B4; IGETC Area 2
C-ID:C-ID MATH 110
Catalog Date:August 1, 2024

This course is an introduction to probability and statistics. Topics include: elementary principles and applications of descriptive statistics, elementary probability principles, probability distributions, estimation of parameters, hypothesis testing, linear regression and correlation, and ANOVA. Statistical analysis using a computer statistics package or graphing calculator will be required.

STAT 495 Independent Studies in Statistics

Units:1 - 3
Hours:54 - 162 hours LAB
Prerequisite:None.
Transferable:CSU
Catalog Date:August 1, 2024

STAT 499 Experimental Offering in Statistics

Units:0.5 - 4
Prerequisite:None.
Transferable:CSU
Catalog Date:August 1, 2024

(See catalog p. 21)