# Independent Study (MATH) courses Las Positas College · 2026-2027 Catalog · 22 courses Source: https://laspositas.curriqunet.com/catalog/iq/1097/1125/1166 "Offered" lists sections in this catalog year's class schedules: Summer 2026, Fall 2026. ### MATH 10 — Discrete Mathematical Structures - **Units:** 4 - **Hours:** 72 hours lecture - **Prerequisite:** CS 1, (may be taken concurrently); MATH 1, (may be taken concurrently) - **C-ID:** COMP 152 - **Transfers to:** CSU, UC - **Offered:** Fall 2026, 1 section (/c/las-positas-college/schedule/fall-2026/math.md) - Also listed as CS 17 - Credit - Degree Applicable - Grading Option: Letter Grade Only - Cal-GETC: 2 - LPC-GE: 2 Designed for majors in mathematics and computer science, this course provides an introduction to discrete mathematical structures used in Computer Science and their applications. Course content includes: Propositional and predicate logic; rules of inference; quantifiers; elements of integer number theory; set theory; methods of proof; induction; combinatorics and discrete probability; functions and relations; recursive definitions and recurrence relations; elements of graph theory and trees. Applications include: analysis of algorithms, Boolean algebras and digital logic circuits. Students may receive credit for CS 17 or MATH 10, but not both. ### MATH 29 — Independent Study, Mathematics - **Units:** 0.5-2 - **Hours:** 108 hours laboratory - **Transfers to:** CSU - **Offered:** not on the Summer 2026, Fall 2026 schedules - Credit - Degree Applicable - Grading Option: Optional Supervised study in the area of Mathematics. Any student interested in registering for an Independent Studies course should contact a full/part-time instructor or dean in the appropriate area. ### MATH 1 — Calculus I - **Units:** 5 - **Hours:** 90 hours lecture - **Prerequisite:** (MATH 30 and MATH 39) or MATH 21 or MATH 22 - **C-ID:** MATH 211 - **Transfers to:** CSU, UC - **Offered:** Summer 2026, 7 sections (/c/las-positas-college/schedule/summer-2026/math.md); Fall 2026, 23 sections (/c/las-positas-college/schedule/fall-2026/math.md) - Credit - Degree Applicable - Grading Option: Letter Grade Only - Cal-GETC: 2 - LPC-GE: 2 An introduction to single-variable differential and integral calculus including: functions, limits and continuity; techniques and applications of differentiation and integration; the Fundamental Theorem of Calculus; areas and volumes of solids of revolution. ### MATH 2 — Calculus II - **Units:** 5 - **Hours:** 90 hours lecture - **Prerequisite:** MATH 1 - **C-ID:** MATH 221 - **Transfers to:** CSU, UC - **Offered:** Summer 2026, 2 sections (/c/las-positas-college/schedule/summer-2026/math.md); Fall 2026, 6 sections (/c/las-positas-college/schedule/fall-2026/math.md) - Credit - Degree Applicable - Grading Option: Letter Grade Only - Cal-GETC: 2 - LPC-GE: 2 Continuation of single-variable differential and integral calculus. Topics covered include: inverse and hyperbolic functions; techniques of integration; polar and parametric equations; infinite sequences, series, power series and Taylor series; applications of integration. Primarily for mathematics, physical science and engineering majors. ### MATH 3 — Multivariable Calculus - **Units:** 5 - **Hours:** 90 hours lecture - **Prerequisite:** MATH 2 - **C-ID:** MATH 230 - **Transfers to:** CSU, UC - **Offered:** Summer 2026, 1 section (/c/las-positas-college/schedule/summer-2026/math.md); Fall 2026, 6 sections (/c/las-positas-college/schedule/fall-2026/math.md) - Credit - Degree Applicable - Grading Option: Letter Grade Only - Cal-GETC: 2 - LPC-GE: 2 Vector valued functions, functions of several variables, partial differentiation, multiple integration, change of variables theorem, scalar and vector fields, gradient, divergence, curl, line integral, surface integral, Green’s, Stokes’, and divergence theorem, applications. ### MATH 5 — Ordinary Differential Equations - **Units:** 3.5 - **Hours:** 54 hours lecture,, 27 hours laboratory - **Prerequisite:** MATH 3 - **C-ID:** MATH 240 - **Transfers to:** CSU, UC - **Offered:** Summer 2026, 1 section (/c/las-positas-college/schedule/summer-2026/math.md); Fall 2026, 1 section (/c/las-positas-college/schedule/fall-2026/math.md) - Credit - Degree Applicable - Grading Option: Letter Grade Only - Cal-GETC: 2 - LPC-GE: 2 Introduction to differential equations including the conditions under which a unique solution exists, techniques for obtaining solutions, and applications. Techniques include generation of series solutions, use of Laplace Transforms, and the use of eigenvalues to solve linear systems. Generation of exact solutions, approximate solutions, and graphs of solutions using MATLAB. ### MATH 7 — Elementary Linear Algebra - **Units:** 3.5 - **Hours:** 54 hours lecture,, 27 hours laboratory - **Prerequisite:** MATH 2 - **C-ID:** MATH 250 - **Transfers to:** CSU, UC - **Offered:** Summer 2026, 1 section (/c/las-positas-college/schedule/summer-2026/math.md); Fall 2026, 2 sections (/c/las-positas-college/schedule/fall-2026/math.md) - Credit - Degree Applicable - Grading Option: Letter Grade Only - Cal-GETC: 2 - LPC-GE: 2 An introduction to linear algebra including: techniques and theory needed to solve and classify systems of linear equations using Gaussian elimination and matrix algebra; properties of vectors in n-dimensions; generalized vector spaces, inner product spaces, basis, norms, orthogonality; eigenvalues, eigenspaces; and linear transformations. Selected applications of linear algebra, including the use of MATLAB™ to solve problems involving advanced numerical computation. ### MATH 21 — Precalculus - **Units:** 4 - **Hours:** 72 hours lecture - **Prerequisite:** MATH 39 - **C-ID:** MATH 155 - **Transfers to:** CSU, UC - **Offered:** Summer 2026, 3 sections (/c/las-positas-college/schedule/summer-2026/math.md); Fall 2026, 10 sections (/c/las-positas-college/schedule/fall-2026/math.md) - Credit - Degree Applicable - Grading Option: Letter Grade Only - Cal-GETC: 2 - LPC-GE: 2 Precalculus core concepts relating to Science, Technology, Engineering and Mathematics (STEM) and Business fields are explored, such as polynomial, absolute value, radical, rational, exponential, logarithmic, and trigonometric functions and their graphs; analytic geometry, polar coordinates. Multiple representations, applications and modeling with functions are emphasized throughout. ### MATH 27 — Number Systems for Educators - **Units:** 3 - **Hours:** 54 hours lecture - **Prerequisite:** Intermediate Algebra or a higher level of mathematics. - **C-ID:** MATH 120 - **Transfers to:** CSU, UC - **Offered:** not on the Summer 2026, Fall 2026 schedules - Credit - Degree Applicable - Grading Option: Letter Grade Only - LPC-GE: 2 This course focuses on the development of quantitative reasoning skills through in-depth, integrated explorations of topics in mathematics, including real number systems and subsystems. Emphasis is on comprehension and analysis of mathematical concepts and applications of logical reasoning. ### MATH 33 — Finite Mathematics - **Units:** 4 - **Hours:** 72 hours lecture - **Prerequisite:** Intermediate Algebra or a higher level of mathematics. - **C-ID:** MATH 130 - **Transfers to:** CSU, UC - **Offered:** not on the Summer 2026, Fall 2026 schedules - Credit - Degree Applicable - Grading Option: Letter Grade Only - Cal-GETC: 2 - LPC-GE: 2 Linear functions, systems of linear equations and inequalities, exponential and logarithmic functions and applications, matrices, linear programming, mathematics of finance, sets and Venn diagrams, combinatorial techniques and an introduction to probability. Applications in business, economics and social sciences. ### MATH 34 — Business Calculus - **Units:** 4 - **Hours:** 72 hours lecture - **Prerequisite:** Intermediate Algebra or a higher level of mathematics. - **C-ID:** MATH 140 - **Transfers to:** CSU, UC - **Offered:** Summer 2026, 3 sections (/c/las-positas-college/schedule/summer-2026/math.md); Fall 2026, 3 sections (/c/las-positas-college/schedule/fall-2026/math.md) - Credit - Degree Applicable - Grading Option: Letter Grade Only - Cal-GETC: 2 - LPC-GE: 2 Functions and their graphs; limits of functions; differential and integral calculus of algebraic, exponential and logarithmic functions. Applications in business, economics, and social sciences. Functions of several variables and partial derivatives. ### MATH 39 — Trigonometry - **Units:** 4 - **Hours:** 72 hours lecture - **Prerequisite:** Intermediate Algebra or a higher level of mathematics. - **C-ID:** MATH 851 - **Transfers to:** CSU - **Offered:** Summer 2026, 3 sections (/c/las-positas-college/schedule/summer-2026/math.md); Fall 2026, 9 sections (/c/las-positas-college/schedule/fall-2026/math.md) - Credit - Degree Applicable - Grading Option: Letter Grade Only - LPC-GE: 2 Trigonometry includes definitions of the trigonometric functions and their inverses, graphs of the trigonometric functions and their inverses, trigonometric equations, trigonometric expressions and identities, including proofs, an introduction to vectors, polar coordinates and complex numbers. Applications include solving right triangles and solving triangles using the law of sines and the law of cosines. ### MATH 47 — Mathematics for Liberal Arts - **Units:** 3 - **Hours:** 54 hours lecture - **Prerequisite:** Intermediate Algebra or a higher level of mathematics. - **Transfers to:** CSU, UC - **Offered:** Summer 2026, 2 sections (/c/las-positas-college/schedule/summer-2026/math.md); Fall 2026, 9 sections (/c/las-positas-college/schedule/fall-2026/math.md) - Credit - Degree Applicable - Grading Option: Letter Grade Only - Cal-GETC: 2 - LPC-GE: 2 An introduction to a variety of mathematical concepts for students interested in liberal arts. Intended to cultivate an appreciation of the significance of mathematics in daily life and help develop students’ mathematical reasoning. Topics include personal finance, logic, and exponential growth. ### MATH 55 — Intermediate Algebra - **Units:** 5 - **Hours:** 90 hours lecture - **Prerequisite:** Elementary Algebra or a higher level of mathematics. - **Offered:** Fall 2026, 1 section (/c/las-positas-college/schedule/fall-2026/math.md) - Credit - Degree Applicable - Grading Option: Optional - LPC-GE: 2 Intermediate Algebra concepts will be explored in this course including: an introduction to functions; linear and absolute value functions; absolute value equations and inequalities; compound linear inequalities; rational expressions, functions and equations; radical expressions, functions and equations; rational exponents; complex numbers; quadratic functions and equations; inverse of a function; exponential and logarithmic functions; properties of logarithms; exponential and logarithmic equations; conic sections; and systems of equations and inequalities. Multiple representations, applications and modeling with functions are emphasized throughout. ### MATH 55C — Concurrent Support for Intermediate Algebra - **Units:** 1 - **Hours:** 54 hours laboratory - **Corequisite:** MATH 55 or NMAT 255, These are one-way corequisites. Everyone taking this MATH 55C concurrent support course must be taking a MATH 55 class or an NMAT 255 class concurrently. However, a student enrolled in a MATH 55 class or an NMAT 255 class is not required to take this MATH 55C concurrent support course. - **Offered:** Fall 2026, 1 section (/c/las-positas-college/schedule/fall-2026/math.md) - Credit - Not Degree Applicable - Grading Option: Pass/No Pass This course is concurrent support for Intermediate Algebra. The course is designed to provide additional, formal support to students who are currently taking an Intermediate Algebra. It includes a review of arithmetic, algebraic and geometric concepts that are relevant to their Intermediate Algebra course, study strategies that promote understanding and improve performance, and more in-depth investigation of core concepts that are difficult for students to master. Embedded are learning skills such as growth mindset, brain research, time management, study skills, test taking, math anxiety and more. ### MATH 66 — Math Jam for Calculus I - **Units:** 0.5-1 - **Hours:** 27-54 hours laboratory - **Offered:** Fall 2026, 1 section (/c/las-positas-college/schedule/fall-2026/math.md) - Credit - Degree Applicable - Grading Option: Pass/No Pass Math Jam for Calculus I is a credit course for students preparing for Calculus I. Embedded are essential study and life skills to develop each student holistically, including career development. Students will be learning basic skills and transfer-level material with the goal of preparing them to be successful in their upcoming class. It is strongly recommended that students taking this course are enrolled in a calculus course. ### MATH 66C — Concurrent Support for Calculus I - **Units:** 1 - **Hours:** 54 hours laboratory - **Corequisite:** MATH 1 - **Offered:** Summer 2026, 2 sections (/c/las-positas-college/schedule/summer-2026/math.md); Fall 2026, 13 sections (/c/las-positas-college/schedule/fall-2026/math.md) - Credit - Degree Applicable - Grading Option: Pass/No Pass This course offers structured support to students who are concurrently enrolled in Calculus I. The support course includes material to prepare students for the rigor of the calculus course by teaching learning skills necessary to succeed in college courses as well as review of relevant prerequisite algebraic, geometric and trigonometric concepts, and more in-depth investigation of core concepts in their concurrent math course. ### MATH 67 — Math Jam for Calculus II - **Units:** 0.5 - **Hours:** 27 hours laboratory - **Offered:** Fall 2026, 1 section (/c/las-positas-college/schedule/fall-2026/math.md) - Credit - Degree Applicable - Grading Option: Pass/No Pass Math Jam for Calculus II is a credit course for students preparing for Calculus II. Embedded are essential study and life skills to develop each student holistically, including career development. Students will be learning basic skills and transfer-level material with the goal of preparing them to be successful in their upcoming class. It is strongly recommended that students taking this course are enrolled in a calculus course. ### MATH 67C — Concurrent Support for Calculus II - **Units:** 1 - **Hours:** 54 hours laboratory - **Corequisite:** MATH 2 - **Offered:** Summer 2026, 2 sections (/c/las-positas-college/schedule/summer-2026/math.md); Fall 2026, 6 sections (/c/las-positas-college/schedule/fall-2026/math.md) - Credit - Degree Applicable - Grading Option: Pass/No Pass This course offers structured support to students who are concurrently enrolled in Calculus II. The support course includes material to prepare students for the rigor of the calculus course by teaching learning skills necessary to succeed in college courses as well as review of relevant prerequisite algebraic, geometric and trigonometric concepts, and more in-depth investigation of core concepts in their concurrent math course. ### MATH 68 — Math Jam for Calculus III - **Units:** 0.5 - **Hours:** 27 hours laboratory - **Offered:** Fall 2026, 1 section (/c/las-positas-college/schedule/fall-2026/math.md) - Credit - Degree Applicable - Grading Option: Pass/No Pass Math Jam for Calculus III is a credit course for students preparing for Calculus III. Embedded are essential study and life skills to develop each student holistically, including career development. Students will be learning basic skills and transfer-level material with the goal of preparing them to be successful in their upcoming class. It is strongly recommended that students taking this course are enrolled in a calculus course. ### MATH 100C — Concurrent Support for SLAM Mathematics - **Units:** 1 - **Hours:** 54 hours laboratory - **Corequisite:** STAT C1000 or MATH 47 or MATH 33 - **Offered:** Summer 2026, 2 sections (/c/las-positas-college/schedule/summer-2026/math.md); Fall 2026, 8 sections (/c/las-positas-college/schedule/fall-2026/math.md) - Credit - Not Degree Applicable - Grading Option: Pass/No Pass Concurrent Support for SLAM Math is for students interested in disciplines that require Statistics and Liberal Arts Mathematics (SLAM) courses. This course offers structured support to students who are concurrently enrolled in a first-level transfer course, such as Statistics and Mathematics for Liberal Arts, and Finite Mathematics. The support course includes material to prepare students for the rigor of the transfer math course by teaching learning skills necessary to succeed in college courses as well as review of relevant prerequisite algebraic and geometric concepts, and more in-depth investigation of core concepts in their concurrent math course. ### MATH 101C — Concurrent Support for BSTEM Mathematics - **Units:** 1 - **Hours:** 54 hours laboratory - **Corequisite:** MATH 21 or MATH 34 or MATH 39 - **Offered:** Summer 2026, 2 sections (/c/las-positas-college/schedule/summer-2026/math.md); Fall 2026, 12 sections (/c/las-positas-college/schedule/fall-2026/math.md) - Credit - Not Degree Applicable - Grading Option: Pass/No Pass Concurrent Support for BSTEM Mathematics is for students interested in Business, Science, Technology, Engineering and Mathematical fields. This course offers structured support to students who are concurrently enrolled in a STEM-sequence math course, such as Calculus I, Precalculus, Trigonometry, and Business Calculus. The support course includes material to prepare students for the rigor of the transfer math course by teaching learning skills necessary to succeed in college courses as well as review of relevant prerequisite algebraic and geometric concepts, and more in-depth investigation of core concepts in their concurrent math course.