Las Positas College - Spring 2025 - Class Schedule

SPRING 2025 9 25. 424. 1 000 | l p c - a d m i s s i o n s @ l a s p o s i t a s c o l l e g e . e d u S P R I N G 2025 - C O U R S E L I S T I N G S Please refer to the onl ine schedule on CLASS-Web to access course section detai ls and the course record numbers (CRNs) for registration. some sections of this course. There may be a fee associated with these materials. Consult with the instructor or bookstore before registering for this course. MATH 2 CALCULUS II 5.0 Units 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. Prerequisite: MATH 1 with a minimum grade of C A TI-84 or TI-83 calculator or internet-based software may be required for some sections of this course. There may be a fee associated with these materials. Consult with the instructor or bookstore before registering for this course. MATH 3 MULTIVARIABLE CALCULUS 5.0 Units 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. Prerequisite: MATH 2 with a minimum grade of C A TI-84 or TI-83 calculator or internet-based software may be required for some sections of this course. There may be a fee associated with these materials. Consult with the instructor or bookstore before registering for this course. MATH 5 ORDINARY DIFFERENTIAL EQUATION 3.5 Units 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. Prerequisite: MATH 3 with a minimum grade of C A TI-84 or TI-83 calculator or internet-based software may be required for some sections of this course. There may be a fee associated with these materials. Consult with the instructor or bookstore before registering for this course. MATH 7 ELEMENTARY LINEAR ALGEBRA 3.5 Units 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. Prerequisite: MATH 2 with a minimum grade of C A TI-84 or TI-83 calculator or internet-based software may be required for some sections of this course. There may be a fee associated with these materials. Consult with the instructor or bookstore before registering for this course. MATH 10 DISCRETE MATHEMATICS 4.0 Units 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 who have completed, or are enrolled in, CS 17 may not receive credit. Prerequisite: MATH 1 and CS 1 with a minimum grade of C (May be taken concurrently) A TI-84 or TI-83 calculator or internet-based software may be required for some sections of this course. There may be a fee associated with these materials. Consult with the instructor or bookstore before registering for this course. MATH 27 NUMBER SYSTEMS FOR EDUCATORS 3.0 Units 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. Prerequisite: Intermediate Algebra or a higher level of mathematics. A TI-84 or TI-83 calculator or internet-based software may be required for some sections of this course. There may be a fee associated with these materials. Consult with the instructor or bookstore before registering for this course. MATH 30 COLLEGE ALGEBRA FOR STEM 4.0 Units College algebra core concepts relating to Science, Technology, Engineering and Mathematics (STEM) and Business fields are explored, such as: polynomial, rational, radical, exponential, absolute value, and logarithmic functions; systems of equations; theory of polynomial equations; and analytic geometry. Multiple representations, applications and modeling with functions are emphasized throughout. Prerequisite: Intermediate Algebra or a higher level of mathematics. A TI-84 or TI-83 calculator or internet-based software may be required for some sections of this course. Materials may be borrowed from the LPC Library or purchased in the bookstore. MATH 33 FINITE MATHEMATICS 4.0 Units 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. Prerequisite: Intermediate Algebra or a higher level of mathematics. A TI-84 or TI-83 calculator or internet-based software may be required for some sections of this course. There may be a fee associated with these materials. Consult with the instructor or bookstore before registering for this course. MATH 34 BUSINESS CALCULUS 4.0 Units Functions and their graphs; limits of functions; differential and integral calculus of algebraic, exponential and logarithmic functions. Applications in business, economics, and social sciences and use of graphing calculators. Partial derivatives and the method of Lagrange multipliers. Prerequisite: Intermediate Algebra or a higher level of mathematics. A TI-84 or TI-83 calculator or internet-based software may be a fee associated with these materials. Consult with the instructor or bookstore before registering for this course. MATH 39 TRIGONOMETRY 4.0 Units 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. Prerequisite: Intermediate Algebra or a higher level of mathematics. MATH 39-P02 has been developed for the Puente and Umoja Learning Programs. Interested Puente students should contact Rafael Valle at rvalle@laspositascollege.edu and Umoja students should contact Kimberly Burks at kburks@laspositascollege.edu. A TI-84 or TI-83 calculator or internet-based software may be required Scan here to visit the current Spring 2025 class schedule online