Mathematics

• Description: Introduction to differential calculus, including limits, derivatives and their applications to curve-sketching, families of functions, and optimization.
• Prerequisite: MATH 47 or MATH 48C or equivalent.
• Corequisite:
• Advisory: Advisory: Demonstrated proficiency in English by placement via multiple measures OR through an equivalent placement process OR completion of ESLL 125 & ESLL 249; not open to students with credit in MATH 1AH.
• Repeatability: Not Repeatable.
• Hours: 5 hours lecture per week. 60 hours total per quarter.
• Foothill GE Area:Mathematical Concepts & Quantitative Reasoning
• Transferability: Both
• Transfer GE: Information regarding how this course is applied toward CSU GE/Breadth or IGETC certification is available at:
• Foothill Transfer GE Guide

Department Note:

• Description: Introduction to differential calculus, 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: MATH 47 or MATH 48C or equivalent.
• Corequisite: MATH 1AHP.
• Advisory: Advisory: Demonstrated proficiency in English by placement via multiple measures OR through an equivalent placement process OR completion of ESLL 125 & ESLL 249; not open to students with credit in MATH 1A.
• Repeatability: Not Repeatable.
• Hours: 5 hours lecture per week. 60 hours total per quarter.
• Foothill GE Area:Mathematical Concepts & Quantitative Reasoning
• Transferability: Both
• Transfer GE: Information regarding how this course is applied toward CSU GE/Breadth or IGETC certification is available at:
• Foothill Transfer GE Guide

Department Note:

• Description: 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:
• Corequisite: MATH 1AH.
• Advisory:
• Repeatability: Not Repeatable.
• Hours: 1 hours lecture per week. 12 hours total per quarter.
• Foothill GE Area:
• Transferability: Both
• Transfer GE: Information regarding how this course is applied toward CSU GE/Breadth or IGETC certification is available at:
• Foothill Transfer GE Guide

Department Note:

• Description: 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.
• Corequisite:
• Advisory: Advisory: Demonstrated proficiency in English by placement via multiple measures OR through an equivalent placement process OR completion of ESLL 125 & ESLL 249; not open to students with credit in MATH 1BH.
• Repeatability: Not Repeatable.
• Hours: 5 hours lecture per week. 60 hours total per quarter.
• Foothill GE Area:Mathematical Concepts & Quantitative Reasoning
• Transferability: Both
• Transfer GE: Information regarding how this course is applied toward CSU GE/Breadth or IGETC certification is available at:
• Foothill Transfer GE Guide

Department Note:

• Description: 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 or 1BH.
• Corequisite:
• Advisory: Advisory: Demonstrated proficiency in English by placement via multiple measures OR through an equivalent placement process OR completion of ESLL 125 & ESLL 249.
• Repeatability: Not Repeatable.
• Hours: 5 hours lecture per week. 60 hours total per quarter.
• Foothill GE Area:Mathematical Concepts & Quantitative Reasoning
• Transferability: Both
• Transfer GE: Information regarding how this course is applied toward CSU GE/Breadth or IGETC certification is available at:
• Foothill Transfer GE Guide

Department Note:

• Description: 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.
• Corequisite:
• Advisory: Advisory: Demonstrated proficiency in English by placement via multiple measures OR through an equivalent placement process OR completion of ESLL 125 & ESLL 249.
• Repeatability: Not Repeatable.
• Hours: 5 hours lecture per week. 60 hours total per quarter.
• Foothill GE Area:
• Transferability: Both
• Transfer GE: Information regarding how this course is applied toward CSU GE/Breadth or IGETC certification is available at:
• Foothill Transfer GE Guide

Department Note:

• Description: Differential equations and selected topics of mathematical analysis.
• Prerequisite: MATH 1C.
• Corequisite:
• Advisory: Advisory: Demonstrated proficiency in English by placement via multiple measures OR through an equivalent placement process OR completion of ESLL 125 & ESLL 249; not open to students with credit in MATH 12A.
• Repeatability: Not Repeatable.
• Hours: 5 hours lecture per week. 60 hours total per quarter.
• Foothill GE Area:
• Transferability: Both
• Transfer GE: Information regarding how this course is applied toward CSU GE/Breadth or IGETC certification is available at:
• Foothill Transfer GE Guide

Department Note:

• Description: 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.
• Corequisite:
• Advisory: Advisory: Demonstrated proficiency in English by placement via multiple measures OR through an equivalent placement process OR completion of ESLL 125 & ESLL 249.
• Repeatability: Not Repeatable.
• Hours: 5 hours lecture per week. 60 hours total per quarter.
• Foothill GE Area:
• Transferability: Both
• Transfer GE: Information regarding how this course is applied toward CSU GE/Breadth or IGETC certification is available at:
• Foothill Transfer GE Guide

Department Note:

• Description: Laboratory course to accompany MATH 2B. Introduces students to live, hands-on laboratory and design experiences as part of common mathematical modeling processes. Students learn how to interact with the material world or from data drawn from the material world, using the tools and data collection techniques. Students learn to use linear algebra to create, develop, and analyze mathematical models of real-world problems related to their academic and career interests.
• Prerequisite:
• Corequisite: Completion of or concurrent enrollment in MATH 2B.
• Advisory: Advisory: Experience in using mathematics software such as MATLAB, Octave, Python Excel, Mathematica.
• Repeatability: Not Repeatable.
• Hours: 3 hours lab per week. 36 hours total per quarter.
• Foothill GE Area:
• Transferability: Both
• Transfer GE: Information regarding how this course is applied toward CSU GE/Breadth or IGETC certification is available at:
• Foothill Transfer GE Guide

Department Note:

• Description: 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: Intermediate Algebra or equivalent.
• Corequisite:
• Advisory: Advisory: Demonstrated proficiency in English by placement via multiple measures OR through an equivalent placement process OR completion of ESLL 125 & ESLL 249.
• Repeatability: Not Repeatable.
• Hours: 5 hours lecture per week. 60 hours total per quarter.
• Foothill GE Area:Mathematical Concepts & Quantitative Reasoning
• Transferability: Both
• Transfer GE: Information regarding how this course is applied toward CSU GE/Breadth or IGETC certification is available at:
• Foothill Transfer GE Guide

Department Note:

• Description: This course is for any student majoring in math or computer science, as well as for students interested in the topics taught in this course. Discrete mathematics: set theory, logic, Boolean algebra, methods of proof, mathematical induction, number theory, discrete probability, combinatorics, functions, relations, recursion, algorithm efficiencies, graphs, trees.
• Prerequisite: Prerequisites: C S 1A or C S 2A or C S 3A or equivalent; MATH 47 or MATH 48C or equivalent.
• Corequisite:
• Advisory: Advisory: Demonstrated proficiency in English by placement via multiple measures OR through an equivalent placement process OR completion of ESLL 125 & ESLL 249; not open to students with credit in CIS 18 or C S 18.
• Repeatability: Not Repeatable.
• Hours: 5 hours lecture per week. 60 hours total per quarter.
• Foothill GE Area:Mathematical Concepts & Quantitative Reasoning
• Transferability: Both
• Transfer GE: Information regarding how this course is applied toward CSU GE/Breadth or IGETC certification is available at:
• Foothill Transfer GE Guide

Department Note:

• Description: This course is designed for any student, in any major, who is interested in exploring the connections between math concepts and the quantitative skills we use in everyday life. The course focuses on problem solving using mathematical methods and modeling and quantitative investigation strategies. Applications include linear and exponential models, multivariable relationships, conversions, estimation, elementary probability, and descriptive statistics. Students will learn individually and collaboratively to analyze quantitative information and apply quantitative skills in a variety of real life contexts and express their findings verbally and in writing.
• Prerequisite: Intermediate Algebra or equivalent.
• Corequisite: For students who do not meet the prerequisite requirement, concurrent enrollment in MATH 240A or NCBS 440A is required.
• Advisory: Advisory: Demonstrated proficiency in English by placement via multiple measures OR through an equivalent placement process OR completion of ESLL 125 & ESLL 249; not open to students with credit in MATH 80.
• Repeatability: Not Repeatable.
• Hours: 5 hours lecture per week. 60 hours total per quarter.
• Foothill GE Area:Mathematical Concepts & Quantitative Reasoning
• Transferability: Both
• Transfer GE: Information regarding how this course is applied toward CSU GE/Breadth or IGETC certification is available at:
• Foothill Transfer GE Guide

Department Note:

• Description: 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: Intermediate Algebra or equivalent.
• Corequisite:
• Advisory: Advisory: Demonstrated proficiency in English by placement via multiple measures OR through an equivalent placement process OR completion of ESLL 125 & ESLL 249.
• Repeatability: Not Repeatable.
• Hours: 5 hours lecture per week. 60 hours total per quarter.
• Foothill GE Area:
• Transferability: Both
• Transfer GE: Information regarding how this course is applied toward CSU GE/Breadth or IGETC certification is available at:
• Foothill Transfer GE Guide

Department Note:

• Description: Introduction to functions and families of functions, including linear functions, quadratics, power and radical functions, absolute value functions, piece-wise defined functions, transformations of these functions, composition of these functions and their use in solving application problems.
• Prerequisite: Intermediate Algebra or equivalent.
• Corequisite: For students who do not meet the prerequisite requirement, concurrent enrollment in MATH 248A or NCBS 448A is required.
• Advisory: Advisory: Demonstrated proficiency in English by placement via multiple measures OR through an equivalent placement process OR completion of ESLL 125 & ESLL 249; UC credit for MATH 48A, 48B and 48C is limited to a maximum of 7.5 units for the combination or any portion of the series completed.
• Repeatability: Not Repeatable.
• Hours: 5 hours lecture per week. 60 hours total per quarter.
• Foothill GE Area:Mathematical Concepts & Quantitative Reasoning
• Transferability: Both
• Transfer GE: Information regarding how this course is applied toward CSU GE/Breadth or IGETC certification is available at:
• Foothill Transfer GE Guide

Department Note:

• Description: This course is a continuation of topics from MATH 48A. Topics include polynomial, rational, exponential and logarithmic functions, transformations of these functions and their use in solving application problems.
• Prerequisite: MATH 48A or equivalent.
• Corequisite:
• Advisory: Advisory: Demonstrated proficiency in English by placement via multiple measures OR through an equivalent placement process OR completion of ESLL 125 & ESLL 249; UC credit for MATH 48A, 48B and 48C is limited to a maximum of 7.5 units for the combination or any portion of the series completed.
• Repeatability: Not Repeatable.
• Hours: 5 hours lecture per week. 60 hours total per quarter.
• Foothill GE Area:Mathematical Concepts & Quantitative Reasoning
• Transferability: Both
• Transfer GE: Information regarding how this course is applied toward CSU GE/Breadth or IGETC certification is available at:
• Foothill Transfer GE Guide

Department Note:

• Description: 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 applications with various functions.
• Prerequisite: MATH 48B.
• Corequisite:
• Advisory: Advisory: Demonstrated proficiency in English by placement via multiple measures OR through an equivalent placement process OR completion of ESLL 125 & ESLL 249; UC credit for MATH 48A, 48B and 48C is limited to a maximum of 7.5 units for the combination or any portion of the series completed.
• Repeatability: Not Repeatable.
• Hours: 5 hours lecture per week. 60 hours total per quarter.
• Foothill GE Area:Mathematical Concepts & Quantitative Reasoning
• Transferability: Both
• Transfer GE: Information regarding how this course is applied toward CSU GE/Breadth or IGETC certification is available at:
• Foothill Transfer GE Guide

Department Note:

• Description: 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.
• Prerequisite:
• Corequisite:
• Advisory:
• Repeatability: Not Repeatable.
• Hours: 3 hours lab per week. 36 hours total per quarter.
• Foothill GE Area:
• Transferability: CSU
• Transfer GE: Information regarding how this course is applied toward CSU GE/Breadth or IGETC certification is available at:
• Foothill Transfer GE Guide

Department Note:

• Description: 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.
• Prerequisite:
• Corequisite:
• Advisory:
• Repeatability: Not Repeatable.
• Hours: 6 hours lab per week. 72 hours total per quarter.
• Foothill GE Area:
• Transferability: CSU
• Transfer GE: Information regarding how this course is applied toward CSU GE/Breadth or IGETC certification is available at:
• Foothill Transfer GE Guide

Department Note:

• Description: 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.
• Prerequisite:
• Corequisite:
• Advisory:
• Repeatability: Not Repeatable.
• Hours: 9 hours lab per week. 108 hours total per quarter.
• Foothill GE Area:
• Transferability: CSU
• Transfer GE: Information regarding how this course is applied toward CSU GE/Breadth or IGETC certification is available at:
• Foothill Transfer GE Guide

Department Note:

• Description: 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.
• Prerequisite:
• Corequisite:
• Advisory:
• Repeatability: Not Repeatable.
• Hours: 12 hours lab per week. 144 hours total per quarter.
• Foothill GE Area:
• Transferability: CSU
• Transfer GE: Information regarding how this course is applied toward CSU GE/Breadth or IGETC certification is available at:
• Foothill Transfer GE Guide

Department Note:

• Description: This course is intended for students interested in equity, diversity, and inclusion in the sciences. Students will explore research on inclusion and diversity in STEM and health science, as well as research on interventions to enhance inclusion and diversity in those fields in higher education contexts. Students will reflect on how their own identities have impacted their experiences in science and develop strategies to promote equity in their future STEM or health science careers. Through service learning, students will co-author culturally relevant curricular materials that will expand faculty capacity to connect students' personal lives to course content. Materials developed by students will be used and assessed in STEM and/or health science courses at Foothill College, local middle schools, and/or local high schools, and will be made available for a nationwide audience of teachers and professors.
• Prerequisite:
• Corequisite:
• Advisory: Advisory: BIOL 1A, 40A, 41, or equivalent; ENGL 1A or 1AH or ESLL 26 or equivalent; not open to students with credit in BIOL 81, CHEM 81, or C S 81.
• Repeatability: Not Repeatable.
• Hours: 4 hours lecture per week. 48 hours total per quarter.
• Foothill GE Area:Lifelong Learning
• Transferability: CSU
• Transfer GE: Information regarding how this course is applied toward CSU GE/Breadth or IGETC certification is available at:
• Foothill Transfer GE Guide

Department Note:

• Description: A just-in-time approach to the core prerequisite skills, competencies, and concepts needed in Calculus I. Intended for students who are concurrently enrolled in MATH 1A at Foothill College and who want extra support in calculus. Topics include: a review of skills developed in precalculus, including developing a knowledge of function families with their graphs and behavior, transformations, average rate of change, inverses, and compositions.
• Prerequisite:
• Corequisite: MATH 1A.
• Advisory:
• Repeatability: Not Repeatable.
• Hours: 2.5 hours lecture per week. 30 hours total per quarter.
• Foothill GE Area:
• Transferability: None
• Transfer GE: Information regarding how this course is applied toward CSU GE/Breadth or IGETC certification is available at:
• Foothill Transfer GE Guide

Department Note:

• Description: A just-in-time approach to the core prerequisite skills, competencies, and concepts needed in Quantitative Reasoning. Intended for students who are concurrently enrolled in MATH 40A at Foothill College. Topics include: a review of computational skills developed in beginning and intermediate algebra, including proportional reasoning, order of operations, simplifying expressions, solving equations, use of variables, creating and using graphical displays.
• Prerequisite:
• Corequisite: MATH 40A.
• Advisory: Advisory: Demonstrated proficiency in English by placement via multiple measures OR through an equivalent placement process OR completion of ESLL 125 & ESLL 249; not open to students with credit in MATH 280.
• Repeatability: Not Repeatable.
• Hours: 2.5 hours lecture per week. 30 hours total per quarter.
• Foothill GE Area:
• Transferability: None
• Transfer GE: Information regarding how this course is applied toward CSU GE/Breadth or IGETC certification is available at:
• Foothill Transfer GE Guide

Department Note:

• Description: 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: Intermediate Algebra or equivalent.
• Corequisite:
• Advisory: Advisory: Demonstrated proficiency in English by placement via multiple measures OR through an equivalent placement process OR completion of ESLL 125 & 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.
• Hours: 5 hours lecture per week. 60 hours total per quarter.
• Foothill GE Area:Mathematical Concepts & Quantitative Reasoning
• Transferability: Both
• Transfer GE: Information regarding how this course is applied toward CSU GE/Breadth or IGETC certification is available at:
• Foothill Transfer GE Guide

Department Note: