FCC Mathematics Competency Requirement
3-5 units
DS
21
Finite Mathematics
DS
21
Finite Mathematics
3 units
Effective Term: 2023 Fall Semester
In this course students will learn the following mathematical concepts: applications of linear; exponential and logarithmic functions; solving systems of linear equations using matrix operations and inverses; solving linear programming techniques using graphing methods and simplex methods; applying interest theory concepts to solve mathematical finance problems; calculate probability; determine the number of values within sets using Venn Diagrams and counting principles; use graphs and properties to determine limits, rates of change, and derivatives of a function. (A, CSU-GE, UC, I)
In this course students will learn the following mathematical concepts: applications of linear; exponential and logarithmic functions; solving systems of linear equations using matrix operations and inverses; solving linear programming techniques using graphing methods and simplex methods; applying interest theory concepts to solve mathematical finance problems; calculate probability; determine the number of values within sets using Venn Diagrams and counting principles; use graphs and properties to determine limits, rates of change, and derivatives of a function. (A, CSU-GE, UC, I)
Course Details:
- Prerequisite: MATH 103
- A: Mathematic
- B4 - Mathematics/Quantitative Thinking
- CSU Transfer Course
- D2 - Analytical Thinking: Mathematics
DS
23
Business Statistics
DS
23
Business Statistics
3 units
Effective Term: 2023 Fall Semester
This course covers using probability and predictive techniques to facilitate decision-making using data from disciplines including business, social sciences, psychology, life sciences, health sciences, and education. The analysis will incorporate EXCEL/Other Statistical Software and a graphing calculator. Descriptive measures include central tendency and dispersion, probability theory, discrete and continuous probability distributions, sampling distributions, central limit theorem, time series, index numbers, statistical inference using one and two sample hypothesis tests using both the standard and t distributions for both means and proportions, estimation, correlation, regression, analysis of variance (ANOVA), and nonparametric methods including Chi-squared. (A, CSU-GE, UC, I)
This course covers using probability and predictive techniques to facilitate decision-making using data from disciplines including business, social sciences, psychology, life sciences, health sciences, and education. The analysis will incorporate EXCEL/Other Statistical Software and a graphing calculator. Descriptive measures include central tendency and dispersion, probability theory, discrete and continuous probability distributions, sampling distributions, central limit theorem, time series, index numbers, statistical inference using one and two sample hypothesis tests using both the standard and t distributions for both means and proportions, estimation, correlation, regression, analysis of variance (ANOVA), and nonparametric methods including Chi-squared. (A, CSU-GE, UC, I)
Course Details:
- Prerequisite: MATH 103
- A: Mathematic
- B4 - Mathematics/Quantitative Thinking
- CSU Transfer Course
- D2 - Analytical Thinking: Mathematics
MATH
3A
College Algebra
MATH
3A
College Algebra
4 units
Effective Term: 2024 Fall Semester
This is a college level course in algebra for majors in business, science, technology, engineering, and mathematics. Students will study polynomial, rational, radical, exponential, absolute value, and logarithmic functions; systems of equations; theory of polynomial equations; analytic geometry; and sequences/series. (A, CSU-GE, UC, I)
This is a college level course in algebra for majors in business, science, technology, engineering, and mathematics. Students will study polynomial, rational, radical, exponential, absolute value, and logarithmic functions; systems of equations; theory of polynomial equations; analytic geometry; and sequences/series. (A, CSU-GE, UC, I)
MATH
4A
Trigonometry
MATH
4A
Trigonometry
4 units
Effective Term: 2024 Fall Semester
This is a college-level course with topics including angles, trigonometric and inverse trigonometric functions, right and oblique triangles, graphs, identities, trigonometric equations, vectors, polar coordinates, DeMoivre’s Theorem, and applications. (A, CSU-GE)
This is a college-level course with topics including angles, trigonometric and inverse trigonometric functions, right and oblique triangles, graphs, identities, trigonometric equations, vectors, polar coordinates, DeMoivre’s Theorem, and applications. (A, CSU-GE)
MATH
4B
Pre-Calculus
MATH
4B
Pre-Calculus
4 units
Effective Term: 2024 Fall Semester
This course covers advanced algebra and trigonometric topics including; equations and inequalities; polynomial, rational, exponential, logarithmic, and trigonometric functions; graphing; analytic geometry; and conic sections; vectors; matrices; systems of equations, the binomial theorem, sequences, and series. (A, CSU-GE, UC, I)
This course covers advanced algebra and trigonometric topics including; equations and inequalities; polynomial, rational, exponential, logarithmic, and trigonometric functions; graphing; analytic geometry; and conic sections; vectors; matrices; systems of equations, the binomial theorem, sequences, and series. (A, CSU-GE, UC, I)
MATH
5A
Mathematical Analysis I
MATH
5A
Mathematical Analysis I
5 units
Effective Term: 2024 Fall Semester
This course is an introduction to differential and integral calculus. This includes analytical geometry, differentiation and integration of functions, limits, continuity, the Fundamental Theorem of Calculus, and applications of differentiation. (A, CSU-GE, UC, I)
This course is an introduction to differential and integral calculus. This includes analytical geometry, differentiation and integration of functions, limits, continuity, the Fundamental Theorem of Calculus, and applications of differentiation. (A, CSU-GE, UC, I)
MATH
5B
Mathematical Analysis II
MATH
5B
Mathematical Analysis II
4 units
Effective Term: 2024 Fall Semester
This is a second course in single variable differential and integral calculus that covers advanced applications and techniques of integration, differential equations, and sequences and series. (A, CSU-GE, UC, I)
This is a second course in single variable differential and integral calculus that covers advanced applications and techniques of integration, differential equations, and sequences and series. (A, CSU-GE, UC, I)
MATH
6
Mathematical Analysis III
MATH
6
Mathematical Analysis III
4 units
Effective Term: 2024 Fall Semester
This course includes solid analytical geometry; partial differentiation; integral calculus of multivariable functions; two and three dimensional vectors; vector valued functions; topics in vector calculus including Green’s, Divergence, and Stokes’ Theorems. (A, CSU-GE, UC, I)
This course includes solid analytical geometry; partial differentiation; integral calculus of multivariable functions; two and three dimensional vectors; vector valued functions; topics in vector calculus including Green’s, Divergence, and Stokes’ Theorems. (A, CSU-GE, UC, I)
MATH
7
Introduction to Differential Equations
MATH
7
Introduction to Differential Equations
4 units
Effective Term: 2024 Fall Semester
This course is an introduction to ordinary differential equations including applications from a variety of disciplines. The course introduces the theoretical aspects of differential equations, including establishing when solution(s) exist, and techniques for obtaining solutions, including, series solutions, Laplace transforms and linear systems. This course is not intended for students who have taken Math 17. (A, CSU, UC)
This course is an introduction to ordinary differential equations including applications from a variety of disciplines. The course introduces the theoretical aspects of differential equations, including establishing when solution(s) exist, and techniques for obtaining solutions, including, series solutions, Laplace transforms and linear systems. This course is not intended for students who have taken Math 17. (A, CSU, UC)
Course Details:
- Anti Requisite: MATH 17
- Prerequisite: MATH 6
- CSU Transfer Course
- D2 - Analytical Thinking: Mathematics
MATH
10A
Structure and Concepts in Mathematics I
MATH
10A
Structure and Concepts in Mathematics I
3 units
Effective Term: 2024 Fall Semester
In this course students will develop quantitative reasoning through an in-depth study of topics including real number systems and subsystems. The emphasis is on comprehension and analysis of mathematical concepts and applications of logical reasoning. (A, CSU-GE, UC, I)
In this course students will develop quantitative reasoning through an in-depth study of topics including real number systems and subsystems. The emphasis is on comprehension and analysis of mathematical concepts and applications of logical reasoning. (A, CSU-GE, UC, I)
MATH
10B
Structure and Concepts in Mathematics II
MATH
10B
Structure and Concepts in Mathematics II
3 units
Effective Term: 2024 Fall Semester
This course includes topics of probability, statistics, geometry, measurement, motion geometry, and tessellations. (A, CSU-GE, UC, I)
This course includes topics of probability, statistics, geometry, measurement, motion geometry, and tessellations. (A, CSU-GE, UC, I)
MATH
11
Elementary Statistics
MATH
11
Elementary Statistics
4 units
Effective Term: 2024 Fall Semester
This course includes the following topics: descriptive measures, probability and sampling distributions, central limit theorem, one and two sample hypothesis tests, analysis of variance, predictive techniques, correlation and regression. (A, CSU-GE, UC, I)
This course includes the following topics: descriptive measures, probability and sampling distributions, central limit theorem, one and two sample hypothesis tests, analysis of variance, predictive techniques, correlation and regression. (A, CSU-GE, UC, I)
MATH
11H
Honors Elementary Statistics
MATH
11H
Honors Elementary Statistics
4 units
Effective Term: 2024 Fall Semester
This course includes the following topics: descriptive measures, probability and sampling distributions, central limit theorem, one and two sample hypothesis tests, analysis of variance, predictive techniques, correlation and regression. (A, CSU-GE, UC, I) include descriptive measures, probability, probability distributions, sampling distributions, central limit theorem, one and two sample hypothesis tests, estimation, correlation, regression and analysis of variance. Honors work challenges students to be more analytical through expanded assignments. (A, CSU-GE, UC, I)
This course includes the following topics: descriptive measures, probability and sampling distributions, central limit theorem, one and two sample hypothesis tests, analysis of variance, predictive techniques, correlation and regression. (A, CSU-GE, UC, I) include descriptive measures, probability, probability distributions, sampling distributions, central limit theorem, one and two sample hypothesis tests, estimation, correlation, regression and analysis of variance. Honors work challenges students to be more analytical through expanded assignments. (A, CSU-GE, UC, I)
MATH
17
Differential Equations and Linear Algebra
MATH
17
Differential Equations and Linear Algebra
5 units
Effective Term: 2024 Fall Semester
This is an introductory course in ordinary differential equations and linear algebra. Topics for this course include first-order ordinary differential equations, including separable, linear, homogeneous of degree zero, Bernoulli and exact with applications and numerical methods. Students will also study solutions to higher order differential equations using undetermined coefficients, variation of parameters, power series, with applications; solutions to linear and non-linear systems of differential equations, including numerical solutions; matrix algebra, solutions of linear systems of equations, and determinants; vector spaces, linear independence, basis and dimension, subspace and inner product space, including the Gram-Schmidt procedure; as well as linear transformations, kernel and range, eigenvalues, eigenvectors, diagonalization and symmetric matrices. (A, CSU-GE, UC, I)
This is an introductory course in ordinary differential equations and linear algebra. Topics for this course include first-order ordinary differential equations, including separable, linear, homogeneous of degree zero, Bernoulli and exact with applications and numerical methods. Students will also study solutions to higher order differential equations using undetermined coefficients, variation of parameters, power series, with applications; solutions to linear and non-linear systems of differential equations, including numerical solutions; matrix algebra, solutions of linear systems of equations, and determinants; vector spaces, linear independence, basis and dimension, subspace and inner product space, including the Gram-Schmidt procedure; as well as linear transformations, kernel and range, eigenvalues, eigenvectors, diagonalization and symmetric matrices. (A, CSU-GE, UC, I)
MATH
21
Finite Mathematics
MATH
21
Finite Mathematics
3 units
Effective Term: 2024 Fall Semester
This course includes applications of linear, exponential, and logarithmic functions; matrix operations; and inverse matrices; linear programming techniques, mathematics of finance, probability, and counting theory; as well as limits, rates of change, and derivatives. (A, CSU-GE, UC, I)
This course includes applications of linear, exponential, and logarithmic functions; matrix operations; and inverse matrices; linear programming techniques, mathematics of finance, probability, and counting theory; as well as limits, rates of change, and derivatives. (A, CSU-GE, UC, I)
MATH
26
Elementary Linear Algebra
MATH
26
Elementary Linear Algebra
3 units
Effective Term: 2024 Fall Semester
This class covers topics including matrices and linear transformations; vector spaces; determinants; eigenvalues and eigenvectors. This course is not intended for students who have taken Math 17. (A, CSU-GE, UC, I)
This class covers topics including matrices and linear transformations; vector spaces; determinants; eigenvalues and eigenvectors. This course is not intended for students who have taken Math 17. (A, CSU-GE, UC, I)
MATH
42
Statistics for the Behavioral Sciences
MATH
42
Statistics for the Behavioral Sciences
4 units
Effective Term: 2024 Fall Semester
This course includes the following topics: descriptive statistics, sampling, hypothesis testing, estimation, selected non-parametric techniques, ANOVA, and regression, with applications from psychology, biology, and social sciences. This course is designed for psychology majors and UC transfers. (A, CSU-GE, UC, I)
This course includes the following topics: descriptive statistics, sampling, hypothesis testing, estimation, selected non-parametric techniques, ANOVA, and regression, with applications from psychology, biology, and social sciences. This course is designed for psychology majors and UC transfers. (A, CSU-GE, UC, I)
MATH
45
Contemporary Mathematics
MATH
45
Contemporary Mathematics
3 units
Effective Term: 2024 Fall Semester
This course is an introduction to mathematical problem-solving, statistics, social choice (voting and fair division), and management science. The mathematical concepts taught in this course emphasize application for quantitative analysis that can be used in daily life. (A, CSU-GE, UC)
This course is an introduction to mathematical problem-solving, statistics, social choice (voting and fair division), and management science. The mathematical concepts taught in this course emphasize application for quantitative analysis that can be used in daily life. (A, CSU-GE, UC)
MATH
102
Plane Geometry
MATH
102
Plane Geometry
3 units
Effective Term: 2022 Spring Semester
Students will study angles; parallel lines; congruent and similar triangles; geometric constructions; right triangle trigonometry; application of formulas for perimeter, area, and volume of geometric figures; and inductive and deductive reasoning. (A)
Students will study angles; parallel lines; congruent and similar triangles; geometric constructions; right triangle trigonometry; application of formulas for perimeter, area, and volume of geometric figures; and inductive and deductive reasoning. (A)
Course Details:
- D2 - Analytical Thinking: Mathematics
MATH
103
Foundations of Algebra
MATH
103
Foundations of Algebra
4 units
Effective Term: 2024 Fall Semester
This course covers topics include polynomial, rational, and algebraic expressions and equations; linear, quadratic, exponential, and logarithmic functions; systems of equations and inequalities; radicals; graphing functions and relations. (A)
This course covers topics include polynomial, rational, and algebraic expressions and equations; linear, quadratic, exponential, and logarithmic functions; systems of equations and inequalities; radicals; graphing functions and relations. (A)
Course Details:
- D2 - Analytical Thinking: Mathematics
PSY
42
Statistics for the Behavioral Sciences
PSY
42
Statistics for the Behavioral Sciences
4 units
Effective Term: 2024 Fall Semester
This course includes the following topics: descriptive statistics, sampling, hypothesis testing, estimation, selected non-parametric techniques, ANOVA, and regression, with applications from psychology, biology, and social sciences. This course is designed for psychology majors and UC transfers. (A, CSU-GE, UC, I)
This course includes the following topics: descriptive statistics, sampling, hypothesis testing, estimation, selected non-parametric techniques, ANOVA, and regression, with applications from psychology, biology, and social sciences. This course is designed for psychology majors and UC transfers. (A, CSU-GE, UC, I)
Satisfies FCC GE area D.2 and D.3