Mathematics

• Description: Introduction to differential calculus, including limits, derivatives and their applications to curve-sketching, families of functions, and optimization.
• Prerequisite: 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:English
• 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:English
• 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:English
• 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:English
• 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:English
• 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:English
• 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:English
• 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 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:English
• 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:English
• 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: 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; 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:English
• 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:English
• 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:English
• 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:English
• 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:English
• 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:English
• 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:English
• 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:English
• 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: