Mathematics

P051 – Intermediate Algebra – 5 units

Prerequisite: A “C” or higher in Math P055, equivalent, or a “B” or higher in second semester of high school geometry.

Total lecture 90 hours. Includes the study of elementary algebraic theory and techniques. Extends beyond elementary algebra, including quadratics, rational functions, complex numbers, binomial theorem, ratio, proportion, variation, progressions, and logarithms. This course is also offered partially online (hybrid face-to-face and online). (A) PC-Area D

P051L – Intermediate Algebra Lab – .5 unit

Prerequisite: Concurrent enrollment in Mathematics P051.

Total laboratory 27 hours. The practice of computational skills and theoretical aspects of intermediate algebra. This is an open-entry/open-exit course. This course is offered only on a pass/no-pass grading system. (A)

P055 – Elementary Algebra – 5 units

Prerequisite: A “C” or higher in Math P061, or a “B’ or higher in high-school pre-algebra course.

Total lecture 90 hours. A study of the elementary concepts of algebra, including the structure of algebra, formulas, signed numbers, nominals, polynomials, products and factorings, linear equations, algebraic fractions, exponents and radicals, quadratic equations, ratio, proportion, variation and graphing of functions. Does not fulfill the associate degree in mathematics.

P055L – Elementary Algebra Lab – .5 unit

Prerequisite: Concurrent enrollment in Mathematics P055.

Total laboratory 27 hours. The practice of computational skills and theoretical aspects of elementary algebra. This is an open-entry/open-exit course. This course is offered only on a pass/no-pass grading system. This course may be repeated one time. Credits do not count towards the Associate Degree.

P061 – Pre-Algebra – 5 units

Prerequisite: None.

Total lecture 90 hours. A careful treatment of the fundamental arithmetic concepts and the application of mathematical operations to the solution of mathematically oriented problems that are commonly encountered in industry. Designed to lead the students to discover relations and form generalizations involving fundamental operations. Emphasis is on the reading and comprehension of word problems. Includes the computational skills for linear, area, and volumetric measurements; the metric system; U.S. Customary System; ratio and proportion; percents and interest on loans and investments; motion; statistics; geometric shapes; mathematical tables; taxes; signed numbers; and introduction to algebra. Does not fulfill associate degree requirements in mathematics

P061L – Pre-Algebra Laboratory – 1 unit

Prerequisite: None.

Total laboratory 54 hours. The practice of computational skills, theoretical aspect of fundamental arithmetic concepts and processes, common fractions, decimals, percentages, ratios and proportions, rectangles, triangles, regular polygons, circles, solids, metric measure, practical algebra, and geometrical construction. Designed to lead the students to discover relations and form generalizations involving fundamental operations. This is an open-entry/open-exit course. This course is offered only on a pass/no-pass grading system. Does not fulfill associate degree requirements in mathematics.

P101 – Trigonometry – 5 units

Prerequisite: Mathematics P051 or a “C” or higher in second semester of high school intermediate algebra.

Total lecture 90 hours. A study of the meaning of the trigonometric ratios, unit circle relations, graphs of the trigonometric function, logarithmic and exponential functions, solution of oblique and right angles, complex numbers. Course is also offered partially online (hybrid face-to-face and online). (A/CSU) PC-Area D; PC-Area I; CSU-B4

P102 – Precalculus Functions and Graphs – 5 units

Prerequisite: Mathematics P101 or equivalent.

Total lecture 90 hours. The study of basic algebraic and geometric techniques and concepts considered essential for students preparing to study calculus, science or engineering. The course includes truth tables, the number systems through complex numbers, equations and inequalities, functions and graphs, determinants, theory of equation, exponential and logarithmic functions, vectors, binomial theorem, series and progressions, the algebra of matrices, permutation, combination, probability. (A/CSU/UC) PC-Area D; PC-Area I; CSU-B4; IGETC-Area 2A

P103 – Calculus 1 with Analytic Geometry – 4 units

Prerequisite: Mathematics P102.

Total lecture 90 hours. Begins a sequence of three courses in calculus. Coverage includes the study of limits, continuity, derivatives, and integration. Extensive applications of the calculus to include related rates; optimization of functions of one variable; calculation of areas, volumes, arc length, surface area, work, fluid force, and centers of mass. (A/CSU/UC) PC-Area D; PC-Area I; CSU-B4; IGETC-Area 2A

P104 – Calculus 2 with Analytic Geometry – 4 units

Prerequisite: Mathematics P103.

Total lecture 90 hours. Continues the study of calculus begun in MATH P103. Attention and greater detail is given to the techniques of integration and applications of integration. Other topics include the study of exponential, logarithmic, and inverse trigonometric functions; Infinite series and the expansion of functions into power series; parametric and polar representations of curves. The course ends with a brief introduction to differential equations. (A/CSU/UC) PC-Area D; PC-Area I; CSU-B4; IGETC-Area 2A

P122 – Introduction to Probability and Statistics – 5 units

Prerequisite: Mathematics P051 or a grade of “C” or higher in second semester of high school intermediate algebra.

Total lecture 90 hours. A study of basic descriptive and inferential statistics. Topics will include graphs and frequency distributions, measures of central tendency and variation, probability, Baye’s Theorem, discrete and continuous probability distributions, including the normal and binomial distributions, hypothesis testing with one and two samples, estimation, linear correlation and regression, chi-square procedures (tests for goodness of fit and independence), analysis of variance, non-parametric statistics and conducting a study. Course is also offered online. (A/CSU/UC) PC-Area D; PC-Area I; CSU-B4; IGETC-Area 2A

P205 – Calculus 3 with Analytic Geometry – 4 units

Prerequisite: Mathematics P104.

Total lecture 90 hours. Concludes the study of calculus begun in MATH P103. The concepts of the derivative and the definite integral are extended to functions of several variables in the form of partial derivatives and multiple integrals. In addition, the theory of limits, derivatives, and integrals are extended to vector-valued functions. Considerable attention is given to topics in vector calculus such as vector fields, line integrals, divergence and curl, the Fundamental Theorem of Line Integrals, Green’s Theorem, Stokes’s Theorem, and the Divergence Theorem. C-ID MATH 230 (A/CSU/UC) PC-Area D; PC-Area I; CSU-B4; IGETC-Area 2A

P206 – Differential Equations – 4 units

Prerequisite: Mathematics P205.

Total lecture 90 hours. The study of linear ordinary differential equations with applications to real-world examples: numerical and analytical solutions; higher-order differential equations; solutions by Laplace transforms; an introduction to linear algebra, including techniques for solving linear systems of equations and the concepts of basis and dimension; exploration of the relationships between linear algebra and differential equations; boundary-value problems. C-ID MATH 240 (A/CSU/UC) PC-Area D; PC-Area I; CSU-B4; IGETC-Area 2A