PHYSICAL SCIENCE, MATHEMATICS & ENGINEERING DIVISION (PSME)

MATHEMATICS DEPARTMENT

MATH 1A, 10, 11, 48A/B/C, 105, 108, 220, 217, 235: 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.

Legend: | • Online Course | % Honors Course | √ Off Campus Course | Evening Course | ||

M=Monday T=Tuesday W=Wednesday Th=Thursday F=Friday S=Saturday U=Sunday |

Course ID | Course Title | Units | ||||

CRN # |
Course |
Activity |
Time |
Days |
Instructor |
Location |

MATH 1A | CALCULUS | 5 Units | ||||

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

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

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. | ||||||

20158 | MATH-001A-01 | Lecture | 08:00 AM-09:50 AM | MW | REESE, TYLER | 5601 |

Lecture | 08:00 AM-08:50 AM | F | REESE, TYLER | 5601 | ||

MATH-001A-01: TI-83/83-plus or TI-84/84-plus Graphing Calculator required. Additional costs for online materials or content in place of or in addition to a textbook may be required. | ||||||

20159 | MATH-001A-02 | Lecture | 08:00 AM-09:50 AM | TTh | MUNOZ, SARAH | 5601 |

Lecture | 09:00 AM-09:50 AM | F | MUNOZ, SARAH | 5601 | ||

MATH-001A-02: TI-83/83-plus or TI-84/84-plus Graphing Calculator required. Additional costs for online materials or content in place of or in addition to a textbook may be required.
| ||||||

20160 | MATH-001A-03 | Lecture | 10:00 AM-10:50 AM | F | ZWACK, TERESA | 5614 |

Lecture | 10:00 AM-11:50 AM | MW | ZWACK, TERESA | 5614 | ||

MATH-001A-03: TI-83/83-plus or TI-84/84-plus Graphing Calculator required. Additional costs for online materials or content in place of or in addition to a textbook may be required. Please note, this section may be increased to larger than standard class size to accommodate enrollment demand. | ||||||

20161 | MATH-001A-04 | Lecture | 11:00 AM-11:50 AM | F | REESE, TYLER | 5501 |

Lecture | 10:00 AM-11:50 AM | TTh | REESE, TYLER | 5501 | ||

MATH-001A-04: TI-83/83-plus or TI-84/84-plus Graphing Calculator required. Additional costs for online materials or content in place of or in addition to a textbook may be required.
| ||||||

20162 | MATH-001A-05 | Lecture | 12:00 PM-01:25 PM | TThF | LE, HUONG | 4603 |

MATH-001A-05: TI-83/83-plus or TI-84/84-plus Graphing Calculator required. Additional costs for online materials or content in place of or in addition to a textbook may be required.
| ||||||

20482 | MATH-001A-06 | Lecture | 01:30 PM-03:45 PM | MW | NI, YUH | 4606 |

MATH-001A-06: TI-83/83-plus or TI-84/84-plus Graphing Calculator required. Additional costs for online materials or content in place of or in addition to a textbook may be required. | ||||||

20615 | MATH-001A-07 | Lecture | 01:30 PM-03:45 PM | TTh | STANLEY, BRIAN | 4606 |

MATH-001A-07: TI-83/83-plus or TI-84/84-plus Graphing Calculator required. Additional costs for online materials or content in place of or in addition to a textbook may be required. | ||||||

20683 | • MATH-001A-09W | Lecture | TBA | TBA | MASKALEVICH, TATSIANA | ONLINE |

MATH-F001A-09W: Offered via the internet. After registering, you MUST refer to "Course Information" at foothill.edu/fga/ for information on how to begin. TI-83 or TI-83 plus Graphing Calculator required. Additional costs for online materials or content in place of or in addition to a textbook may be required. | ||||||

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. | ||||||

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

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. | ||||||

20163 | MATH-001B-02 | Lecture | 10:00 AM-10:50 AM | F | STANLEY, BRIAN | 4502 |

Lecture | 10:00 AM-11:50 AM | MW | STANLEY, BRIAN | 4502 | ||

MATH-001B-02: TI-83/83-plus or TI-84/84-plus Graphing Calculator required. Additional costs for online materials or content in place of or in addition to a textbook may be required. | ||||||

20164 | MATH-001B-03 | Lecture | 11:00 AM-11:50 AM | F | STANLEY, BRIAN | 4604 |

Lecture | 10:00 AM-11:50 AM | TTh | STANLEY, BRIAN | 4604 | ||

MATH-001B-03: TI-83/83-plus or TI-84/84-plus Graphing Calculator required. Additional costs for online materials or content in place of or in addition to a textbook may be required. Please note, this section may be increased to larger than standard class size to accommodate enrollment demand. | ||||||

20495 | MATH-001B-04 | Lecture | 06:00 PM-08:15 PM | TTh | WITSCHORIK, CHARLES | 5601 |

MATH-001B-04: TI-83/83-plus or TI-84/84-plus Graphing Calculator required. Additional costs for online materials or content in place of or in addition to a textbook may be required.
| ||||||

20932 | • MATH-001B-06W | Lecture | TBA | TBA | WONG, WINNIE | ONLINE |

MATH-F001B-06W: Offered via the internet. After registering, you MUST refer to "Course Information" at foothill.edu/fga/ for information on how to begin. TI-83 or TI-83 plus Graphing Calculator required. Additional costs for online materials or content in place of or in addition to a textbook may be required. | ||||||

22167 | MATH-001B-07 | Lecture | 08:00 AM-09:50 AM | TTh | CEMBELLIN, ZACHARY | 4502 |

Lecture | 09:00 AM-09:50 AM | F | CEMBELLIN, ZACHARY | 4502 | ||

MATH-001B-07: TI-83/83-plus or TI-84/84-plus Graphing Calculator required. Additional costs for online materials or content in place of or in addition to a textbook may be required. | ||||||

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. | ||||||

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

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. | ||||||

20483 | MATH-001C-01 | Lecture | 09:00 AM-09:50 AM | F | LEE, DEBBIE | 4602 |

Lecture | 08:00 AM-09:50 AM | TTh | LEE, DEBBIE | 4602 | ||

MATH-001C-01: TI-83/83-plus or TI-84/84-plus Graphing Calculator required. Additional costs for online materials or content in place of or in addition to a textbook may be required.
| ||||||

20165 | MATH-001C-02 | Lecture | 10:00 AM-10:50 AM | F | LEE, DEBBIE | 4601 |

Lecture | 10:00 AM-11:50 AM | MW | LEE, DEBBIE | 4601 | ||

MATH-001C-02: TI-83/83-plus or TI-84/84-plus Graphing Calculator required. Additional costs for online materials or content in place of or in addition to a textbook may be required.
| ||||||

20166 | MATH-001C-03 | Lecture | 01:30 PM-03:45 PM | TTh | LUBLIN, DOUGLAS | 4501 |

MATH-001C-03: TI-83/83-plus or TI-84/84-plus Graphing Calculator required. Additional costs for online materials or content in place of or in addition to a textbook may be required.
| ||||||

20338 | MATH-001C-04 | Lecture | 06:00 PM-08:15 PM | TTh | NOSRATIEH, BITA | 5614 |

MATH-001C-04: TI-83/83-plus or TI-84/84-plus Graphing Calculator required. Additional costs for online materials or content in place of or in addition to a textbook may be required.
| ||||||

22274 | √ MATH-001C-05 | Lecture | 09:00 AM-09:50 AM | MTF | LUBLIN, DOUGLAS | LAHS |

√ | Lecture | 08:50 AM-10:30 AM | W | LUBLIN, DOUGLAS | LAHS | |

MATH-001C-05: TI-83 or TI-83 plus Graphing Calculator required.Additional costs for online materials or content in place of or in addition to a textbook may be required. | ||||||

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. | ||||||

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

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. | ||||||

20361 | MATH-001D-01 | Lecture | 10:00 AM-10:50 AM | F | CEMBELLIN, ZACHARY | 4604 |

Lecture | 10:00 AM-11:50 AM | MW | CEMBELLIN, ZACHARY | 4604 | ||

MATH-001D-01: TI-83/83-plus or TI-84/84-plus Graphing Calculator required. Additional costs for online materials or content in place of or in addition to a textbook may be required.
| ||||||

20339 | MATH-001D-02 | Lecture | 01:30 PM-03:45 PM | MW | LUBLIN, DOUGLAS | 4601 |

MATH-001D-02: TI-83/83-plus or TI-84/84-plus Graphing Calculator required. Additional costs for online materials or content in place of or in addition to a textbook may be required.
| ||||||

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. | ||||||

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

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. | ||||||

21162 | MATH-01AH-01 | Lecture | 10:00 AM-11:50 AM | TTh | CEMBELLIN, ZACHARY | 4602 |

Lecture | 11:00 AM-11:50 AM | F | CEMBELLIN, ZACHARY | 4602 | ||

MATH 001AH-001: This is an Honors version of Math 1A (Calculus I). MUST BE CONCURRENTLY ENROLLED IN MATH 1AHP. Registration with the Honors Institute is required before course enrollment. http://www.foothill.edu/hon/. | ||||||

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. | ||||||

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

Prerequisite: Honors Institute participant. | ||||||

Corequisite: MATH 1AH. | ||||||

21163 | MATH-1AHP-01 | Lecture | 12:00 PM-12:50 PM | F | CEMBELLIN, ZACHARY | 4306 |

MATH 1AHP-01: This Honors seminar is linked to MATH 1AH. MUST BE CONCURRENTLY ENROLLED IN MATH 1AH. Registration with the Honors Institute is required before course enrollment. http://www.foothill.edu/hon/. | ||||||

MATH 2A | DIFFERENTIAL EQUATIONS | 5 Units | ||||

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

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

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. | ||||||

20484 | MATH-002A-01 | Lecture | 07:30 AM-09:45 AM | TTh | MORRISS, PATRICK | 4601 |

MATH-002A-01: TI-83/83-plus or TI-84/84-plus Graphing Calculator required. Additional costs for online materials or content in place of or in addition to a textbook may be required.
| ||||||

21164 | MATH-002A-02 | Lecture | 01:30 PM-03:45 PM | TTh | PARIS, NORMAN | 4603 |

MATH-002A-02: TI-83/83-plus or TI-84/84-plus Graphing Calculator required. Additional costs for online materials or content in place of or in addition to a textbook may be required.
| ||||||

21953 | MATH-002A-03 | Lecture | 06:30 PM-08:45 PM | MW | FLORERO SALINAS, WILSON | 4604 |

MATH-002A-03: TI-83/83-plus or TI-84/84-plus Graphing Calculator required. Additional costs for online materials or content in place of or in addition to a textbook may be required. | ||||||

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. | ||||||

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

Prerequisite: MATH 1C. | ||||||

20738 | MATH-002B-01 | Lecture | 08:00 AM-09:50 AM | MW | ANDERSON, JEFFREY | 4306 |

Lecture | 08:00 AM-08:50 AM | F | ANDERSON, JEFFREY | 4306 | ||

MATH-002B-01: TI-83/83-plus or TI-84/84-plus Graphing Calculator required. Additional costs for online materials or content in place of or in addition to a textbook may be required.
| ||||||

20689 | MATH-002B-02 | Lecture | 06:30 PM-08:45 PM | TTh | FLORERO SALINAS, WILSON | 4601 |

MATH-002B-02: TI-83/83-plus or TI-84/84-plus Graphing Calculator required. Additional costs for online materials or content in place of or in addition to a textbook may be required. | ||||||

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. | ||||||

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

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. | ||||||

20167 | • MATH-010.-02Y | Lecture | TBA | TBA | MARTINEZ, RICARDO | ONLINE |

Lecture | 08:00 AM-09:30 AM | M | MARTINEZ, RICARDO | 4502 | ||

MATH-010.-02Y: TI-83/83-plus or TI-84/84-plus Graphing Calculator required. Additional costs for online materials or content in place of or in addition to a textbook may be required. This section of Math 10 will employ a "flipped classroom" teaching methodology, requiring a moderate amount of lecture material to be acquired from online resources. Please contact the instructor for details. | ||||||

20740 | MATH-010.-03 | Lecture | 10:00 AM-11:50 AM | MW | MORRISS, PATRICK | 4606 |

Lecture | 10:00 AM-10:50 AM | F | MORRISS, PATRICK | 4606 | ||

MATH-010.-03: TI-83/83-plus or TI-84/84-plus Graphing Calculator required. Some sections may use online content in place of, or in addition to a textbook. Please contact the instructor for details. Additional costs for online materials or content in place of or in addition to a textbook may be required. | ||||||

20169 | • MATH-010.-05Y | Lecture | TBA | TBA | MUDGE, RACHEL | ONLINE |

Lecture | 10:00 AM-11:50 AM | T | MUDGE, RACHEL | 4501 | ||

MATH-010.-05Y: TI-83/83-plus or TI-84/84-plus Graphing Calculator required. Additional costs for online materials or content in place of or in addition to a textbook may be required. This section of Math 10 will employ a "flipped classroom" teaching methodology, requiring a moderate amount of lecture material to be acquired from online resources. Please contact the instructor for details. | ||||||

20170 | MATH-010.-06 | Lecture | 11:00 AM-11:50 AM | F | LOW, MATTHEW | 4220 |

Lecture | 10:00 AM-11:50 AM | TTh | LOW, MATTHEW | 4220 | ||

MATH-010.-06: TI-83/83-plus or TI-84/84-plus Graphing Calculator required. Some sections may use online content in place of, or in addition to a textbook. Please contact the instructor for details. Additional costs for online materials or content in place of or in addition to a textbook may be required. | ||||||

20171 | MATH-010.-07 | Lecture | 12:00 PM-01:25 PM | TThF | FRANCISCO, MARNIE | 5614 |

MATH-010.-07: TI-83/83-plus or TI-84/84-plus Graphing Calculator required. Some sections may use online content in place of, or in addition to a textbook. Please contact the instructor for details. Additional costs for online materials or content in place of or in addition to a textbook may be required. | ||||||

20486 | MATH-010.-08 | Lecture | 01:30 PM-03:45 PM | MW | PSOMAS, NIKOLAS | 5610 |

MATH-010.-08: TI-83/83-plus or TI-84/84-plus Graphing Calculator required. Some sections may use online content in place of, or in addition to a textbook. Please contact the instructor for details. Additional costs for online materials or content in place of or in addition to a textbook may be required. | ||||||

20172 | MATH-010.-09 | Lecture | 01:30 PM-03:45 PM | TTh | MORRISS, PATRICK | 5610 |

MATH-010.-09: TI-83/83-plus or TI-84/84-plus Graphing Calculator required. Some sections may use online content in place of, or in addition to a textbook. Please contact the instructor for details. Additional costs for online materials or content in place of or in addition to a textbook may be required. | ||||||

20376 | • MATH-010.-10W | Lecture | TBA | TBA | MARTINEZ, RICARDO | ONLINE |

MATH-010.-10W:Offered via the internet. After registering, you MUST refer to "Course Descriptions" at foothill.edu/fga/ for information on how to begin. TI-83 or TI-83 plus Graphing Calculator required.Additional costs for online materials or content in place of or in addition to a textbook may be required. | ||||||

20487 | • MATH-010.-11W | Lecture | TBA | TBA | MUDGE, RACHEL | ONLINE |

MATH-010.-11W:
Offered via the internet. After registering, you MUST refer to "Course Descriptions" at foothill.edu/fga/ for information on how to begin.
TI-83 or TI-83 plus Graphing Calculator required.
Additional costs for online materials or content in place of or in addition to a textbook may be required. | ||||||

20488 | • MATH-010.-12W | Lecture | TBA | TBA | WONG, WINNIE | ONLINE |

MATH-010.-12W: Offered via the internet. After registering, you MUST refer to course descriptions at foothill.edu/fga/ for information on how to begin.
TI-83 or TI-83 plus Graphing Calculator required.
Additional costs for online materials or content in place of or in addition to a textbook may be required. | ||||||

22168 | MATH-010.-13 | Lecture | 11:00 AM-11:50 AM | F | FRANCISCO, MARNIE | 4310 |

Lecture | 10:00 AM-11:50 AM | TTh | FRANCISCO, MARNIE | 4310 | ||

MATH-010.-13: Offered partially via the internet. Instructions will be given in-person on the first day of classes. Students must be able to access the internet and are required to have a TI-83 or TI-83 Plus Graphing Calculator.
Additional costs for online materials or content in place of or in addition to a textbook may be required. | ||||||

21693 | √ MATH-010.-50 | Lecture | 06:00 PM-08:15 PM | MW | PAPAY, LAURI | FC206 |

MATH-010.-50: This course is offered at the Foothill College Sunnyvale Center located at 1070 Innovation Way in Sunnyvale. Please visit https://foothill.edu/sunnyvale/ for campus information and directions. | ||||||

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. | ||||||

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

Prerequisite: MATH 48A. | ||||||

20531 | MATH-012.-01 | Lecture | 01:30 PM-03:45 PM | TTh | LE, HUONG | 4301 |

MATH-012.-01: TI-83/83-plus or TI-84/84-plus Graphing Calculator required.
Additional costs for online materials or content in place of or in addition to a textbook may be required. | ||||||

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. | ||||||

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

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. | ||||||

20700 | MATH-022.-01 | Lecture | 12:00 PM-01:25 PM | TThF | WITSCHORIK, CHARLES | 5601 |

MATH-022.-01: TI-83/83-plus or TI-84/84-plus Graphing Calculator required.
Additional costs for online materials or content in place of or in addition to a textbook may be required. | ||||||

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. | ||||||

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

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. | ||||||

20368 | MATH-048A-01 | Lecture | 08:00 AM-09:50 AM | MW | PSOMAS, NIKOLAS | 4220 |

Lecture | 08:00 AM-08:50 AM | F | PSOMAS, NIKOLAS | 4220 | ||

MATH-048A-01: TI-83/83-plus or TI-84/84-plus Graphing Calculator required. Additional costs for online materials or content in place of or in addition to a textbook may be required. | ||||||

20370 | MATH-048A-03 | Lecture | 10:00 AM-11:50 AM | MW | PSOMAS, NIKOLAS | 4603 |

Lecture | 10:00 AM-10:50 AM | F | PSOMAS, NIKOLAS | 4603 | ||

MATH-048A-03: TI-83/83-plus or TI-84/84-plus Graphing Calculator required. Additional costs for online materials or content in place of or in addition to a textbook may be required. | ||||||

20371 | MATH-048A-04 | Lecture | 11:00 AM-11:50 AM | F | ZWACK, TERESA | 4603 |

Lecture | 10:00 AM-11:50 AM | TTh | ZWACK, TERESA | 4603 | ||

MATH-048A-04: TI-83/83-plus or TI-84/84-plus Graphing Calculator required. Additional costs for online materials or content in place of or in addition to a textbook may be required. | ||||||

20372 | MATH-048A-05 | Lecture | 10:00 AM-11:50 AM | TTh | UILECAN, DIANA | 4221 |

Lecture | 11:00 AM-11:50 AM | F | UILECAN, DIANA | 4221 | ||

MATH-048A-05: TI-83/83-plus or TI-84/84-plus Graphing Calculator required. Additional costs for online materials or content in place of or in addition to a textbook may be required. | ||||||

20690 | MATH-048A-06 | Lecture | 12:00 PM-01:25 PM | TThF | ZWACK, TERESA | 4221 |

MATH-048A-06: TI-83/83-plus or TI-84/84-plus Graphing Calculator required. Additional costs for online materials or content in place of or in addition to a textbook may be required. | ||||||

20954 | MATH-048A-07 | Lecture | 01:30 PM-03:45 PM | TTh | LIEBERMAN, ROBERT | 5609 |

MATH-048A-07: TI-83/83-plus or TI-84/84-plus Graphing Calculator required. Additional costs for online materials or content in place of or in addition to a textbook may be required. | ||||||

21695 | √ MATH-048A-50 | Lecture | 06:30 PM-08:45 PM | MW | LIEBERMAN, ROBERT | FC204 |

This course is offered at the Foothill College Sunnyvale Center located at 1070 Innovation Way in Sunnyvale. Please visit https://foothill.edu/sunnyvale/ for campus information and directions. | ||||||

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. | ||||||

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

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. | ||||||

20489 | MATH-048B-01 | Lecture | 08:00 AM-09:50 AM | TTh | UILECAN, DIANA | 4603 |

Lecture | 09:00 AM-09:50 AM | F | UILECAN, DIANA | 4603 | ||

MATH-048B-01: TI-83/83-plus or TI-84/84-plus Graphing Calculator required. Additional costs for online materials or content in place of or in addition to a textbook may be required. | ||||||

20490 | MATH-048B-02 | Lecture | 10:00 AM-10:50 AM | F | REESE, TYLER | 4602 |

Lecture | 10:00 AM-11:50 AM | MW | REESE, TYLER | 4602 | ||

MATH-048B-02: TI-83/83-plus or TI-84/84-plus Graphing Calculator required. Additional costs for online materials or content in place of or in addition to a textbook may be required. | ||||||

20496 | MATH-048B-03 | Lecture | 11:00 AM-11:50 AM | F | SUKUMAR, SUMITHIRA | 4301 |

Lecture | 10:00 AM-11:50 AM | TTh | SUKUMAR, SUMITHIRA | 4301 | ||

MATH-048B-03: TI-83/83-plus or TI-84/84-plus Graphing Calculator required. Additional costs for online materials or content in place of or in addition to a textbook may be required. | ||||||

20691 | MATH-048B-04 | Lecture | 01:30 PM-03:45 PM | TTh | NI, YUH | 4601 |

MATH-048B-04: TI-83/83-plus or TI-84/84-plus Graphing Calculator required. Additional costs for online materials or content in place of or in addition to a textbook may be required. | ||||||

21166 | MATH-048B-05 | Lecture | 06:00 PM-08:15 PM | TTh | KARBASI AMEL, MAHMOOD | 4605 |

MATH-048B-05: TI-83/83-plus or TI-84/84-plus Graphing Calculator required. Additional costs for online materials or content in place of or in addition to a textbook may be required. | ||||||

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. | ||||||

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

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. | ||||||

20492 | MATH-048C-02 | Lecture | 10:00 AM-10:50 AM | F | FRANCISCO, MARNIE | 4301 |

Lecture | 10:00 AM-11:50 AM | MW | FRANCISCO, MARNIE | 4301 | ||

MATH-048C-02: TI-83/83-plus or TI-84/84-plus Graphing Calculator required. Additional costs for online materials or content in place of or in addition to a textbook may be required. | ||||||

20493 | MATH-048C-03 | Lecture | 10:00 AM-11:50 AM | TTh | LEE, DEBBIE | 4606 |

Lecture | 11:00 AM-11:50 AM | F | LEE, DEBBIE | 4606 | ||

MATH-048C-03: TI-83/83-plus or TI-84/84-plus Graphing Calculator required. Additional costs for online materials or content in place of or in addition to a textbook may be required. | ||||||

20638 | MATH-048C-04 | Lecture | 12:00 PM-01:25 PM | TThF | RYKER, JODY | 4310 |

MATH-048C-04: TI-83/83-plus or TI-84/84-plus Graphing Calculator required. Additional costs for online materials or content in place of or in addition to a textbook may be required. | ||||||

20639 | MATH-048C-05 | Lecture | 01:30 PM-03:45 PM | MW | BRASELTON, MIRANDA | 4602 |

MATH-048C-05: TI-83/83-plus or TI-84/84-plus Graphing Calculator required. Additional costs for online materials or content in place of or in addition to a textbook may be required. | ||||||

20950 | MATH-048C-06 | Lecture | 06:00 PM-08:15 PM | MW | SCHOENBRUN, MITCHELL | 4605 |

MATH-048C-06: TI-83/83-plus or TI-84/84-plus Graphing Calculator required. Additional costs for online materials or content in place of or in addition to a textbook may be required. | ||||||

22052 | MATH-048C-07 | Lecture | 08:00 AM-09:50 AM | MW | LEE, DEBBIE | 4606 |

Lecture | 08:00 AM-08:50 AM | F | LEE, DEBBIE | 4606 | ||

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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. | ||||||

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

21263 | MATH-070R-01 | Lecture | TBA | TBA | STAFF, M | TBA |

MATH-070R-01: Students need to complete an independent study contract with an instructor during the first two weeks of the quarter to enroll. Please discuss with interested faculty members about potential projects. Contact the PSME Division Office for more information at chenruyu@foothill.edu (Ruyu Chen, Administrative Assistant) or 650-949-7259. | ||||||

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. | ||||||

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

21264 | MATH-071R-01 | Lecture | TBA | TBA | STAFF, M | TBA |

MATH-071R-01: Students need to complete an independent study contract with an instructor during the first two weeks of the quarter to enroll. Please discuss with interested faculty members about potential projects. Contact the PSME Division Office for more information at chenruyu@foothill.edu (Ruyu Chen, Administrative Assistant) or 650-949-7259. | ||||||

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. | ||||||

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

21265 | MATH-072R-01 | Lecture | TBA | TBA | STAFF, M | TBA |

MATH-072R-01: Students need to complete an independent study contract with an instructor during the first two weeks of the quarter to enroll. Please discuss with interested faculty members about potential projects. Contact the PSME Division Office for more information at chenruyu@foothill.edu (Ruyu Chen, Administrative Assistant) or 650-949-7259. | ||||||

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

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

21266 | MATH-073R-01 | Lecture | TBA | TBA | STAFF, M | TBA |

MATH-073R-01: Students need to complete an independent study contract with an instructor during the first two weeks of the quarter to enroll. Please discuss with interested faculty members about potential projects. Contact the PSME Division Office for more information at chenruyu@foothill.edu (Ruyu Chen, Administrative Assistant) or 650-949-7259. | ||||||

MATH 105 | INTERMEDIATE ALGEBRA | 5 Units | ||||

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

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

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

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

20174 | MATH-105.-02 | Lecture | 08:00 AM-09:50 AM | TTh | SUKUMAR, SUMITHIRA | 4605 |

Lecture | 09:00 AM-09:50 AM | F | SUKUMAR, SUMITHIRA | 4605 | ||

MATH-105.-02: TI-83/83-plus or TI-84/84-plus Graphing Calculator required. Additional costs for online materials or content in place of or in addition to a textbook may be required. | ||||||

20175 | MATH-105.-03 | Lecture | 10:00 AM-11:50 AM | MW | WILLIAMS, SARAH | 5609 |

Lecture | 10:00 AM-10:50 AM | F | WILLIAMS, SARAH | 5609 | ||

MATH-105.-03: TI-83/83-plus or TI-84/84-plus Graphing Calculator required. Additional costs for online materials or content in place of or in addition to a textbook may be required. | ||||||

20176 | MATH-105.-04 | Lecture | 10:00 AM-11:50 AM | TTh | SENDI, CHOKRI | 4302 |

Lecture | 11:00 AM-11:50 AM | F | SENDI, CHOKRI | 4302 | ||

MATH-105.-04: TI-83/83-plus or TI-84/84-plus Graphing Calculator required. Additional costs for online materials or content in place of or in addition to a textbook may be required. | ||||||

20746 | • MATH-105.-05Y | Lecture | TBA | TBA | MARTINEZ, RICARDO | ONLINE |

Lecture | 10:00 AM-11:30 AM | T | MARTINEZ, RICARDO | 3106 | ||

MATH-105.-05Y: TI-83/83-plus or TI-84/84-plus Graphing Calculator required. Additional costs for online materials or content in place of or in addition to a textbook may be required. This section of Math 105 will employ a "flipped classroom" teaching methodology, requiring a moderate amount of lecture material to be acquired from online resources. Please contact the instructor for details. | ||||||

20177 | MATH-105.-06 | Lecture | 12:00 PM-01:25 PM | TThF | LOW, MATTHEW | 4220 |

MATH-105.-06: TI-83/83-plus or TI-84/84-plus Graphing Calculator required. Additional costs for online materials or content in place of or in addition to a textbook may be required. | ||||||

20747 | MATH-105.-07 | Lecture | 01:30 PM-03:45 PM | MW | ROBLEDO, LUCINDA | 5601 |

MATH-105.-07: TI-83/83-plus or TI-84/84-plus Graphing Calculator required. Additional costs for online materials or content in place of or in addition to a textbook may be required. | ||||||

20340 | MATH-105.-08 | Lecture | 01:30 PM-03:45 PM | TTh | NOSRATIEH, BITA | 4605 |

MATH-105.-08: TI-83/83-plus or TI-84/84-plus Graphing Calculator required. Additional costs for online materials or content in place of or in addition to a textbook may be required. | ||||||

20178 | • MATH-105.-09W | Lecture | TBA | TBA | PERINO, KATHRYN | ONLINE |

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20908 | • MATH-105.-10W | Lecture | TBA | TBA | WILLIAMS, SARAH | ONLINE |

MATH-105.-10W: Offered via the internet. After registering, you MUST refer to "Course Descriptions" at foothill.edu/fga/ for information on how to begin. Students will not be charged a fee for a subscription to beoga.net if they are repeating this course and have previously paid the subscription fee. TI-83/83-plus or TI-84/84-plus Graphing Calculator required.
Additional costs for online materials or content in place of or in addition to a textbook may be required. | ||||||

22172 | MATH-105.-11 | Lecture | 10:00 AM-11:50 AM | MW | ANDERSON, JEFFREY | 4306 |

Lecture | 10:00 AM-10:50 AM | F | ANDERSON, JEFFREY | 4306 | ||

MATH-105.-11: TI-83/83-plus or TI-84/84-plus Graphing Calculator required. Additional costs for online materials or content in place of or in addition to a textbook may be required. | ||||||

21692 | √ MATH-105.-51 | Lecture | 06:30 PM-08:45 PM | MW | SENDI, CHOKRI | FC202 |

This course is offered at the Foothill College Sunnyvale Center located at 1070 Innovation Way in Sunnyvale. Please visit https://foothill.edu/sunnyvale/ for campus information and directions. | ||||||

20173 | MATH-105.-S01 | Lecture | 08:00 AM-09:50 AM | MW | CEMBELLIN, ZACHARY | 4604 |

Lecture | 08:00 AM-08:50 AM | F | CEMBELLIN, ZACHARY | 4604 | ||

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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. | ||||||

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

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

22053 | MATH-217.-02 | Lecture | 12:00 PM-02:15 PM | MTWTh | MUDGE, RACHEL | 5611 |

MATH-217.-02: Chem 30A03 (CRN 20097) and Math 217.02 (CRN 20629) must be taken concurrently. The students will be in a cohort with the goal to complete their Allied Health Chemistry (Chem 30) and CSU college level math in 2 quarters. You need to be eligible to register for Math 220 or 108. Students will take Math 57 and Chem 30B (if required) in winter quarter to complete the college level math requirement for a CSU and/or Foothill Associate degree.Online version of textbook will be located at www.mystatway.org. Instructions on how to log in will be given during the first week of class. Online content will be used in place of, or in addition to a textbook. Students will be expected to access online work through campus labs several hours per week. Additional costs for printing, calculator and online materials may be required. | ||||||

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. | ||||||

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

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

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

20179 | MATH-220.-01 | Lecture | 08:00 AM-09:50 AM | MW | LOW, SOFYA | 4601 |

Lecture | 08:00 AM-08:50 AM | F | LOW, SOFYA | 4601 | ||

MATH-220.-01: Additional costs for online materials or content in place of or in addition to a textbook may be required. | ||||||

20180 | MATH-220.-02 | Lecture | 08:00 AM-09:50 AM | TTh | LITRUS, MATTHEW | 4220 |

Laboratory | 09:00 AM-09:50 AM | F | LITRUS, MATTHEW | 4220 | ||

MATH-220.-02: Additional costs for online materials or content in place of or in addition to a textbook may be required. | ||||||

20181 | • MATH-220.-03Y | Lecture | TBA | TBA | PERINO, KATHRYN | ONLINE |

Lecture | 10:00 AM-11:50 AM | MW | PERINO, KATHRYN | 5501 | ||

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20182 | MATH-220.-04 | Lecture | 10:00 AM-10:50 AM | F | LOW, SOFYA | 4605 |

Lecture | 10:00 AM-11:50 AM | MW | LOW, SOFYA | 4605 | ||

MATH-220.-04: Additional costs for online materials or content in place of or in addition to a textbook may be required. | ||||||

20545 | MATH-220.-05 | Lecture | 11:00 AM-11:50 AM | F | WILLIAMS, SARAH | 4601 |

Lecture | 10:00 AM-11:50 AM | TTh | WILLIAMS, SARAH | 4601 | ||

MATH-220.-05: Additional costs for online materials or content in place of or in addition to a textbook may be required. | ||||||

20549 | MATH-220.-06 | Lecture | 12:00 PM-01:25 PM | TThF | HALLORAN, MARY | 4604 |

MATH-220.-06: Additional costs for online materials or content in place of or in addition to a textbook may be required. | ||||||

20695 | MATH-220.-07 | Lecture | 01:30 PM-03:45 PM | MW | PAPAY, LAURI | 5609 |

MATH-220.-07: Additional costs for online materials or content in place of or in addition to a textbook may be required. | ||||||

21689 | √ MATH-220.-50 | Lecture | 06:00 PM-08:15 PM | TTh | LITRUS, MATTHEW | FC206 |

MATH-220.-50: This course is offered at the Foothill College Sunnyvale Center located at 1070 Innovation Way in Sunnyvale. Please visit https://foothill.edu/sunnyvale/ for campus information and directions. | ||||||

21690 | √ MATH-220.-51 | Lecture | 08:30 AM-10:45 AM | WF | OLUWASANMI, VICTORIANA | FC203 |

This course is offered at the Foothill College Sunnyvale Center located at 1070 Innovation Way in Sunnyvale. Please visit https://foothill.edu/sunnyvale/ for campus information and directions. | ||||||

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. | ||||||

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

Prerequisite: MATH 235. | ||||||

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

20183 | MATH-230.-01 | Lecture | 10:00 AM-10:45 AM | MTWThF | MUNOZ, SARAH | 5613 |

Laboratory | 10:45 AM-11:50 AM | MTWThF | MUNOZ, SARAH | 5613 | ||

MATH-230.-01: MATH 235 & MATH 230 are together known as the "Math My Way" Program. Please register for Section 01, as all sections meet at the same time. During the quarter, students enrolled in MATH 230 will receive instruction from multiple instructors. Additional costs for online materials or content in place of or in addition to a textbook may be required. The prerequisite for this course is Math 235. If a student plans to finish both Math 235 and Math 230 in one quarter, then the student needs to register for Math 235. | ||||||

20184 | MATH-230.-02 | Lecture | 10:00 AM-10:45 AM | MTWThF | WONG, WILBUR | 5607 |

Laboratory | 10:45 AM-11:50 AM | MTWThF | WONG, WILBUR | 5607 | ||

MATH-230.-02: MATH 235 & MATH 230 are together known as the "Math My Way" Program. Please register for Section 01, as all sections meet at the same time. During the quarter, students enrolled in MATH 230 will receive instruction from multiple instructors. Additional costs for online materials or content in place of or in addition to a textbook may be required. The prerequisite for this course is Math 235. If a student plans to finish both Math 235 and Math 230 in one quarter, then the student needs to register for Math 235. | ||||||

21956 | MATH-230.-04 | Lecture | 06:00 PM-06:50 PM | MTWTh | REED, ERIC | 5611 |

Laboratory | 07:00 PM-08:15 PM | MTWTh | REED, ERIC | 5611 | ||

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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. | ||||||

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

20185 | MATH-235.-01 | Lecture | 10:00 AM-10:45 AM | MTWThF | MUNOZ, SARAH | 5613 |

Laboratory | 10:45 AM-11:50 AM | MTWThF | MUNOZ, SARAH | 5613 | ||

MATH-235.-01: MATH 235 & MATH 230 are together known as the "Math My Way" Program. MATH 235 has multiple instructors in the program. Please register for Section 01, as all sections meet at the same time. During the quarter, students enrolled in MATH 235 will receive instruction from multiple instructors. Additional costs for online materials or content in place of or in addition to a textbook may be required. | ||||||

20532 | MATH-235.-02 | Lecture | 10:00 AM-10:45 AM | MTWThF | MCLENNAN, DEBORAH | 5611 |

Laboratory | 10:45 AM-11:50 AM | MTWThF | MCLENNAN, DEBORAH | 5611 | ||

MATH-235.-02: MATH 235 & MATH 230 are together known as the "Math My Way" Program. MATH 235 has multiple instructors in the program. Please register for Section 01, as all sections meet at the same time. During the quarter, students enrolled in MATH 235 will receive instruction from multiple instructors. Additional costs for online materials or content in place of or in addition to a textbook may be required. | ||||||

20533 | MATH-235.-03 | Lecture | 10:00 AM-10:45 AM | MTWThF | TOMUTIU, MARIA | 5612 |

Laboratory | 10:45 AM-11:50 AM | MTWThF | TOMUTIU, MARIA | 5612 | ||

MATH-235.-03: MATH 235 & MATH 230 are together known as the "Math My Way" Program. MATH 235 has multiple instructors in the program. Please register for Section 01, as all sections meet at the same time. During the quarter, students enrolled in MATH 235 will receive instruction from multiple instructors. Additional costs for online materials or content in place of or in addition to a textbook may be required. | ||||||

20534 | MATH-235.-04 | Lecture | 10:00 AM-10:45 AM | MTWThF | GRAY, NICOLE | 4223 |

Laboratory | 10:45 AM-11:50 AM | MTWThF | GRAY, NICOLE | 4223 | ||

MATH-235.-04: MATH 235 & MATH 230 are together known as the "Math My Way" Program. MATH 235 has 7 instructors in the program. Please register for Section 01, as all sections meet at the same time. During the quarter, students enrolled in MATH 235 will receive instruction from multiple instructors. Additional costs for online materials or content in place of or in addition to a textbook may be required. | ||||||

21168 | MATH-235.-05 | Laboratory | 10:45 AM-11:50 AM | MTWThF | FINLAY, DONNA | 5602 |

Lecture | 10:00 AM-10:45 AM | MTWThF | FINLAY, DONNA | 5602 | ||

MATH-235.-05: MATH 235 & MATH 230 are together known as the "Math My Way" Program. MATH 235 has 7 instructors in the program. Please register for Section 01, as all sections meet at the same time. During the quarter, students enrolled in MATH 235 will receive instruction from multiple instructors. Additional costs for online materials or content in place of or in addition to a textbook may be required. | ||||||

21958 | MATH-235.-07 | Lecture | 06:00 PM-06:50 PM | MTWTh | OLUWASANMI, VICTORIANA | 5613 |

Laboratory | 07:00 PM-08:15 PM | MTWTh | OLUWASANMI, VICTORIANA | 5613 | ||

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