PHYSICAL SCIENCE, MATHEMATICS & ENGINEERING DIVISION (PSME)

MATHEMATICS DEPARTMENT

MATH 1A, 10, 11, 44, 49, 51, 105, 220, 224, 230, 230J, 234: If you have not taken the prerequisite(s) at Foothill College, you will not be allowed to register without an equivalency form from the counseling office or a waiver from the division office.

30 Course Descriptions found.

MATH 1A | CALCULUS | 5 Units |

Introduction to differential calculus, including limits, derivatives and their applications to curve-sketching, families of functions, and optimization. | ||

Prerequisite: Satisfactory score on the mathematics placement test or MATH 48C. | ||

Advisory: Demonstrated proficiency in English by placement as determined by score on the English placement test OR through an equivalent placement process OR completion of ESLL 25 & ESLL 249; not open to students with credit in MATH 1AH. | ||

Repeatability: Not Repeatable. | ||

5 hours lecture. (60 hours total per quarter.) | ||

GE Area: Communication & Analytical Thinking | ||

Transferability: CSU and UC | ||

View Schedule. | ||

MATH 1AH | HONORS CALCULUS I | 5 Units |

An introductory differential calculus class including limits, derivatives and their applications to curve sketching, families of functions, and optimization. Honors work emphasizes a deeper study of differential calculus via the study of proofs using analytic techniques, real-world problems, and special applied projects. | ||

Prerequisite: Satisfactory score on the mathematics placement test or MATH 48C; Honors Institute participant. | ||

Corequisite: MATH 1AHP | ||

Advisory: Not open to students with credit in MATH 1A. | ||

Repeatability: Not Repeatable. | ||

5 hours lecture. (60 hours total per quarter.) | ||

GE Area: Communication & Analytical Thinking | ||

Transferability: CSU and UC | ||

Not scheduled for the Winter quarter. | ||

MATH 1AHP | HONORS CALCULUS I SEMINAR | 1 Unit |

An honors seminar linked to MATH 1AH. In this course, students will explore a multitude of advanced problems from the calculus I honors course, including proofs of limit laws, differentiation rules, and corresponding theorems concerning the behavior of differentiable functions. As the calculus I honors course will require students to submit typed technical solutions to applied problems, this seminar will support students in learning how to use mathematical typesetting software. Best practices for mathematical writing will also be discussed. | ||

Prerequisite: Honors Institute participant. | ||

Corequisite: MATH 1AH. | ||

Repeatability: Not Repeatable. | ||

1 hour lecture. (12 hours total per quarter.) | ||

GE Area: Non-GE Applicable | ||

Transferability: CSU and UC | ||

Not scheduled for the Winter quarter. | ||

MATH 1B | CALCULUS | 5 Units |

Introduction to integral calculus including definite and indefinite integrals, the first and second Fundamental Theorems and their applications to geometry, physics, and the solution of elementary differential equations. | ||

Prerequisite: MATH 1A or 1AH. | ||

Advisory: Demonstrated proficiency in English by placement as determined by score on the English placement test OR through an equivalent placement process OR completion of ESLL 25 & ESLL 249. | ||

Repeatability: Not Repeatable. | ||

5 hours lecture. (60 hours total per quarter.) | ||

GE Area: Communication & Analytical Thinking | ||

Transferability: CSU and UC | ||

View Schedule. | ||

MATH 1C | CALCULUS | 5 Units |

Introduction to functions of more than one variable, including vectors, partial differentiation, the gradient, contour diagrams and optimization. Additional topics include infinite series, convergence and Taylor series. | ||

Prerequisite: MATH 1B. | ||

Advisory: Demonstrated proficiency in English by placement as determined by score on the English placement test OR through an equivalent placement process OR completion of ESLL 25 & ESLL 249. | ||

Repeatability: Not Repeatable. | ||

5 hours lecture. (60 hours total per quarter.) | ||

GE Area: Communication & Analytical Thinking | ||

Transferability: CSU and UC | ||

View Schedule. | ||

MATH 1D | CALCULUS | 5 Units |

Introduction to integration of functions of more than one variable, including double, triple, flux and line integrals. Additional topics include polar, cylindrical and spherical coordinates, parameterization, vector fields, path-independence, divergence and curl. | ||

Prerequisite: MATH 1C. | ||

Advisory: Demonstrated proficiency in English by placement as determined by score on the English placement test OR through an equivalent placement process OR completion of ESLL 25 & ESLL 249. | ||

Repeatability: Not Repeatable. | ||

5 hours lecture. (60 hours total per quarter.) | ||

GE Area: Non-GE Applicable | ||

Transferability: CSU and UC | ||

View Schedule. | ||

MATH 2A | DIFFERENTIAL EQUATIONS | 5 Units |

Differential equations and selected topics of mathematical analysis. | ||

Prerequisite: MATH 1C. | ||

Advisory: Demonstrated proficiency in English by placement as determined by score on the English placement test OR through an equivalent placement process OR completion of ESLL 25 & ESLL 249; not open to students with credit in MATH 12A. | ||

Repeatability: Not Repeatable. | ||

5 hours lecture. (60 hours total per quarter.) | ||

GE Area: Non-GE Applicable | ||

Transferability: CSU and UC | ||

View Schedule. | ||

MATH 2B | LINEAR ALGEBRA | 5 Units |

A first course in Linear Algebra, including systems of linear equations, matrices, linear transformations, determinants, abstract vector spaces and subspaces, eigenvalues and eigenvectors, inner product spaces and orthogonality, and selected applications of these topics. | ||

Prerequisite: MATH 1C. | ||

Advisory: Demonstrated proficiency in English by placement as determined by score on the English placement test OR through an equivalent placement process OR completion of ESLL 25 & ESLL 249. | ||

Repeatability: Not Repeatable. | ||

5 hours lecture. (60 hours total per quarter.) | ||

GE Area: Non-GE Applicable | ||

Transferability: CSU and UC | ||

View Schedule. | ||

MATH 10 | ELEMENTARY STATISTICS | 5 Units |

An introduction to modern methods of descriptive statistics, including collection and presentation of data; measures of central tendency and dispersion; probability; sampling distributions; hypothesis testing and statistical inference; linear regression and correlation; analysis of variance; use of microcomputers for statistical calculations. Illustrations taken from the fields of business, economics, medicine, engineering, education, psychology, sociology, social sciences, life science, and health science. | ||

Prerequisite: Satisfactory score on the mathematics placement test or MATH 105 or 108. | ||

Advisory: Demonstrated proficiency in English by placement as determined by score on the English placement test OR through an equivalent placement process OR completion of ESLL 25 & ESLL 249; UC will grant transfer credit for a maximum of one course from the following: PSYC 7, SOC 7, MATH 10 or 17. Students are strongly encouraged to meet with a counselor for appropriate course selection. | ||

Repeatability: Not Repeatable. | ||

5 hours lecture. (60 hours total per quarter.) | ||

GE Area: Communication & Analytical Thinking | ||

Transferability: CSU and UC | ||

View Schedule. | ||

MATH 11 | FINITE MATHEMATICS | 5 Units |

Set theory, basic combinatorial analysis, introduction to probability, linear equations and inequalities, introduction to linear programming and the simplex method, introduction to matrix algebra with applications, Markov chains, game theory and mathematics of finance. | ||

Prerequisite: Satisfactory score on the mathematics placement test or MATH 105 or 108. | ||

Advisory: Demonstrated proficiency in English by placement as determined by score on the English placement test OR through an equivalent placement process OR completion of ESLL 25 & ESLL 249. | ||

Repeatability: Not Repeatable. | ||

5 hours lecture. (60 hours total per quarter.) | ||

GE Area: Communication & Analytical Thinking | ||

Transferability: CSU and UC | ||

Not scheduled for the Winter quarter. | ||

MATH 12 | CALCULUS FOR BUSINESS & ECONOMICS | 5 Units |

A study of the techniques of differential and integral calculus, with an emphasis on the application of these techniques to problems in business and economics. | ||

Prerequisite: MATH 48A. | ||

Advisory: Demonstrated proficiency in English by placement as determined by score on the English placement test OR through an equivalent placement process OR completion of ESLL 25 & ESLL 249. | ||

Repeatability: Not Repeatable. | ||

5 hours lecture. (60 hours total per quarter.) | ||

GE Area: Communication & Analytical Thinking | ||

Transferability: CSU and UC | ||

View Schedule. | ||

MATH 17 | INTEGRATED STATISTICS II | 5 Units |

Formerly: MATH 57 | ||

The second of two in the Statway sequence. Covers concepts and methods of statistics with an emphasis on data analysis. Topics include methods for collecting data, graphical and numerical descriptive statistics, correlation, simple linear regression, basic concepts of probability, confidence intervals and hypothesis tests for means and proportions, chi-square tests, and ANOVA. Application problems will be taken from the fields of business, economics, medicine, engineering, education, psychology, sociology and from culturally diverse situations. This sequence is recommended for students with majors that require no mathematics beyond freshman-level statistics. | ||

Prerequisite: MATH 217. | ||

Advisory: Demonstrated proficiency in English by placement as determined by score on the English placement test OR through an equivalent placement process OR completion of ESLL 25 & ESLL 249; UC will grant transfer credit for a maximum of one course from the following: PSYC 7, SOC 7, MATH 10 or 17. Students are strongly encouraged to meet with a counselor for appropriate course selection. Not open to students with credit in MATH 57. | ||

Repeatability: Not Repeatable. | ||

5 hours lecture. (60 hours total per quarter.) | ||

GE Area: Communication & Analytical Thinking | ||

Transferability: CSU and UC | ||

View Schedule. | ||

MATH 22 | DISCRETE MATHEMATICS | 5 Units |

Discrete mathematics: set theory, logic, Boolean algebra, methods of proof, mathematical induction, number theory, discrete probability, combinatorics, functions, relations, recursion, algorithm efficiencies, graphs, trees. | ||

Prerequisites: C S 1A or 1AH; satisfactory score on the mathematics placement test or MATH 48C. | ||

Advisory: Demonstrated proficiency in English by placement as determined by score on the English placement test OR through an equivalent placement process OR completion of ESLL 25 & ESLL 249; not open to students with credit in CIS 18 or C S 18. | ||

Repeatability: Not Repeatable. | ||

5 hours lecture. (60 hours total per quarter.) | ||

GE Area: Communication & Analytical Thinking | ||

Transferability: CSU and UC | ||

View Schedule. | ||

MATH 42 | MATH FOR ELEMENTARY SCHOOL TEACHERS | 5 Units |

Focuses on the development of quantitative reasoning skills through in-depth, integrated explorations of topics in mathematics, including real numbers systems and subsystems. Emphasis is on comprehension and analysis of mathematical concepts and applications of logical reasoning. | ||

Prerequisite: Satisfactory score on the mathematics placement test or MATH 105 or 108 with a grade of C or better. | ||

Advisory: Demonstrated proficiency in English by placement as determined by score on the English placement test OR through an equivalent placement process OR completion of ESLL 25 & ESLL 249. | ||

Repeatability: Not Repeatable. | ||

5 hours lecture. (60 hours total per quarter.) | ||

GE Area: Non-GE Applicable | ||

Transferability: CSU and UC | ||

Not scheduled for the Winter quarter. | ||

MATH 44 | MATH FOR THE LIBERAL ARTS | 5 Units |

A survey of mathematical models and other tools to introduce the nonspecialist to the methods of quantitative reasoning. Problem solving by Polya's method with analytic, numeric, graphical, and verbal investigation. Selecting, constructing, and using mathematical models. Interpreting quantitative results in qualitative context. Emphasis on deductive reasoning and formal logic; algebraic, exponential, logarithmic, and trigonometric models; probability and the normal distribution; data analysis; and selected topics from discrete math, finite math, and statistics. | ||

Prerequisite: Satisfactory score on the mathematics placement test or MATH 105 or 108. | ||

Advisory: Demonstrated proficiency in English by placement as determined by score on the English placement test OR through an equivalent placement process OR completion of ESLL 25 & ESLL 249. | ||

Repeatability: Not Repeatable. | ||

5 hours lecture. (60 hours total per quarter.) | ||

GE Area: Communication & Analytical Thinking | ||

Transferability: CSU and UC | ||

View Schedule. | ||

MATH 48A | PRECALCULUS I | 5 Units |

Introduction to functions and families of functions including quadratics, polynomials, power and root functions, transformations of these functions, and their use in solving applications problems. | ||

Prerequisite: Satisfactory score on the mathematics placement test or MATH 105 or 108. | ||

Advisory: Demonstrated proficiency in English by placement as determined by score on the English placement test OR through an equivalent placement process OR completion of ESLL 25 & ESLL 249; UC credit for MATH 48A, B & C is limited to a maximum of 7.5 units for the combination or any portion of the series completed. | ||

Repeatability: Not Repeatable. | ||

5 hours lecture. (60 hours total per quarter.) | ||

GE Area: Communication & Analytical Thinking | ||

Transferability: CSU and UC | ||

View Schedule. | ||

MATH 48B | PRECALCULUS II | 5 Units |

This course is a continuation of topics from MATH 48A. Topics include rational, exponential and logarithmic functions, piecewise functions, combination and composition of functions and an introduction to trigonometry. | ||

Prerequisite: MATH 48A. | ||

Advisory: Demonstrated proficiency in English by placement as determined by score on the English placement test OR through an equivalent placement process OR completion of ESLL 25 & ESLL 249; UC credit for MATH 48A, B & C is limited to a maximum of 7.5 units for the combination or any portion of the series completed. | ||

Repeatability: Not Repeatable. | ||

5 hours lecture. (60 hours total per quarter.) | ||

GE Area: Communication & Analytical Thinking | ||

Transferability: CSU and UC | ||

View Schedule. | ||

MATH 48C | PRECALCULUS III | 5 Units |

This course is a continuation of topics from MATH 48B. Topics include the six trigonometric functions, trigonometric identities, inverse trigonometric functions, trigonometric equations, right triangles, oblique triangles, vectors, parametric equations, and modeling data with various functions. | ||

Prerequisite: MATH 48B. | ||

Advisory: Demonstrated proficiency in English by placement as determined by score on the English placement test OR through an equivalent placement process OR completion of ESLL 25 & ESLL 249; UC credit for MATH 48A, B & C is limited to a maximum of 7.5 units for the combination or any portion of the series completed. | ||

Repeatability: Not Repeatable. | ||

5 hours lecture. (60 hours total per quarter.) | ||

GE Area: Communication & Analytical Thinking | ||

Transferability: CSU and UC | ||

View Schedule. | ||

MATH 54H | HONORS INSTITUTE SEMINAR IN MATHEMATICS | 1 Unit |

A seminar in directed readings, discussions and projects in mathematics. Specific topics to be determined by the instructor. | ||

Prerequisite: Honors Institute participant. | ||

Advisory: Not open to students with credit in MATH 34 or 34H. | ||

Repeatability: Not Repeatable. | ||

1 hour lecture. (12 hours total per quarter.) | ||

GE Area: Non-GE Applicable | ||

Transferability: CSU | ||

Not scheduled for the Winter quarter. | ||

MATH 70R | INDEPENDENT STUDY IN MATHEMATICS | 1 Unit |

Provides an opportunity for the student to expand their studies in Mathematics beyond the classroom by completing a project or an assignment arranged by agreement between the student and instructor. The student is required to contract with the instructor to determine the scope of assignment and the unit value assigned for successful completion. Students may take a maximum of 6 units of Independent Study per department. | ||

Repeatability: Not Repeatable. | ||

3 hours laboratory per week. (36 hours total per quarter.) | ||

GE Area: Non-GE Applicable | ||

Transferability: CSU | ||

View Schedule. | ||

MATH 71R | INDEPENDENT STUDY IN MATHEMATICS | 2 Units |

Provides an opportunity for the student to expand their studies in Mathematics beyond the classroom by completing a project or an assignment arranged by agreement between the student and instructor. The student is required to contract with the instructor to determine the scope of assignment and the unit value assigned for successful completion. Students may take a maximum of 6 units of Independent Study per department. | ||

Repeatability: Not Repeatable. | ||

6 hours laboratory per week. (72 hours total per quarter.) | ||

GE Area: Non-GE Applicable | ||

Transferability: CSU | ||

View Schedule. | ||

MATH 72R | INDEPENDENT STUDY IN MATHEMATICS | 3 Units |

Provides an opportunity for the student to expand their studies in Mathematics beyond the classroom by completing a project or an assignment arranged by agreement between the student and instructor. The student is required to contract with the instructor to determine the scope of assignment and the unit value assigned for successful completion. Students may take a maximum of 6 units of Independent Study per department. | ||

Repeatability: Not Repeatable. | ||

9 hours laboratory per week. (108 hours total per quarter.) | ||

GE Area: Non-GE Applicable | ||

Transferability: CSU | ||

View Schedule. | ||

MATH 73R | INDEPENDENT STUDY IN MATHEMATICS | 4 Units |

Repeatability: Not Repeatable. | ||

12 hours laboratory per week. (144 hours total per quarter.) | ||

GE Area: Non-GE Applicable | ||

Transferability: CSU | ||

View Schedule. | ||

MATH 105 | INTERMEDIATE ALGEBRA | 5 Units |

Quadratic, polynomial, rational, radical, exponential and logarithmic functions and expressions with an emphasis on graphing and applications. | ||

Prerequisite: Satisfactory score on the mathematics placement test or MATH 220. | ||

Advisory: Not open to students with credit in MATH 108. | ||

Repeatability: Not Repeatable. | ||

5 hours lecture. (60 hours total per quarter.) | ||

GE Area: Non-GE Applicable | ||

Transferability: None | ||

View Schedule. | ||

MATH 108 | ACCELERATED ALGEBRA | 10 Units |

This course will cover content from two algebra courses, beginning and intermediate algebra. The content consists of linear equations, linear inequalities, linear systems, polynomials with focus on quadratics, rationals, radicals, absolute values, exponential and logarithmic functions. Relationships between analytical, graphical, numerical, and verbal approaches will be emphasized. | ||

Prerequisite: Satisfactory score on the mathematics placement test or successful completion of MATH 230 or 230J. | ||

Advisory: Not open to students with credit in MATH 105. | ||

Repeatability: Not Repeatable. | ||

10 hours lecture. (120 hours total per quarter.) | ||

GE Area: Non-GE Applicable | ||

Transferability: None | ||

Not scheduled for the Winter quarter. | ||

MATH 217 | INTEGRATED STATISTICS I | 10 Units |

The first of two courses in the Statway sequence. Covers concepts and methods of statistics with an emphasis on data analysis. Topics include methods for collecting data, graphical and numerical descriptive statistics, correlation, simple linear regression, basic concepts of probability, confidence intervals and hypothesis tests for means and proportions, chi-square tests, and ANOVA. Application problems will be taken from the fields of business, economics, medicine, engineering, education, psychology, sociology and from culturally diverse situations. This sequence is recommended for students with majors that require no mathematics beyond freshman-level statistics. | ||

Prerequisites: Satisfactory score on the mathematics placement test; MATH 230 or 230J. | ||

Advisory: Demonstrated proficiency in English by placement as determined by score on the English placement test OR through an equivalent placement process OR completion of ESLL 25 & ESLL 249. | ||

Repeatability: Not Repeatable. | ||

10 hours lecture. (120 hours total per quarter.) | ||

GE Area: Non-GE Applicable | ||

Transferability: None | ||

View Schedule. | ||

MATH 220 | ELEMENTARY ALGEBRA | 5 Units |

Includes linear equations inequalities in one variable, graphs of linear and quadratic functions, solving linear systems, integer exponents, operations on polynomials, factoring, and proportional reasoning. | ||

Prerequisites: Satisfactory score on the mathematics placement test; MATH 230 or 230J. | ||

Advisory: Not open to students with credit in MATH 101 or 224. | ||

Repeatability: Not Repeatable. | ||

5 hours lecture. (60 hours total per quarter.) | ||

GE Area: Non-GE Applicable | ||

Transferability: None | ||

View Schedule. | ||

MATH 230 | PREPARING FOR ALGEBRA: LINEAR EQUATIONS, PROPORTIONS & GEOMETRY | 6 Units |

Review of order of operations with rational numbers. Introduction to algebraic concepts including solving first-degree equations and evaluating and simplifying expressions. Development and applications of ratios, rates, proportions, percents, and geometric concepts. Modeling with linear equations and proportions to solve and interpret results of applications in diverse fields. | ||

Prerequisite: MATH 235. | ||

Advisory: Not open to students with credit in MATH 230J. | ||

Repeatability: Not Repeatable. | ||

4 hours lecture, 6 hours laboratory. (120 hours total per quarter.) | ||

GE Area: Non-GE Applicable | ||

Transferability: None | ||

View Schedule. | ||

MATH 230J | PREPARING FOR ALGEBRA | 3 Units |

Development and applications of ratios, rates, proportions, percents and geometric concepts. Review of addition, subtraction, multiplication and division of whole numbers, fractions, decimals and signed numbers. Review of algebraic concepts including solving first-degree equations and evaluating and simplifying expressions. | ||

Prerequisite: Completion of 2 or more modules from MATH 230; permission of instructor. | ||

Repeatability: Not Repeatable. | ||

3 hours lecture. (36 hours total per quarter.) | ||

GE Area: Non-GE Applicable | ||

Transferability: None | ||

Not scheduled for the Winter quarter. | ||

MATH 235 | PREPARING FOR ALGEBRA: REAL NUMBERS | 6 Units |

Addition, subtraction, multiplication and division of whole numbers, fractions, decimals and signed numbers. Order of operations with real numbers and applications of such operations. | ||

Repeatability: Not Repeatable. | ||

4 hours lecture, 6 hours laboratory. (120 hours total per quarter.) | ||

GE Area: Non-GE Applicable | ||

Transferability: None | ||

View Schedule. | ||