 Algebra 1  Part 1, Part 2  Algebra 1, Part 1 is the first part in a multipart sequence of Algebra
1. This course generally covers the same topics as the first semester of
Algebra 1, including the study of properties of rational numbers (i.e.,
number theory), ratio, proportion, and estimation, exponents and
radicals, the rectangular coordinate system, sets and logic, formulas,
and solving firstdegree equations and inequalities.
Algebra 1,
Part 2 is the second part in a multipart sequence of Algebra 1. This
course generally covers the same topics as the second semester of
Algebra 1, including the study of properties of the real number system
and operations, evaluating rational algebraic expressions, solving and
graphing firstdegree equations and inequalities, translating word
problems into equations, operations with and factoring of polynomials,
and solving simple quadratics.  Pre/Corequisite(s):
   Algebra 1, 2  Algebra 1 includes the study of properties and operations of the real
number system; evaluating rational algebraic expressions; solving and
graphing firstdegree equations and inequalities; translating word
problems into equations; operations with and factoring of polynomials;
and solving simple quadratic equations.
Algebra 2 topics
typically include field properties and theorems; set theory; operations
with rational and irrational expressions; factoring of rational
expressions; indepth study of linear equations and inequalities;
quadratic equations; solving systems of linear and quadratic equations;
graphing of constant, linear, and quadratic equations; properties of
higherdegree equations; and operations with rational and irrational
exponents.  Pre/Corequisite(s):
   Algebra Functions Data Analysis  Within the context of mathematical modeling and data analysis, students
will study functions and their behaviors, systems of inequalities,
probability, experimental design and implementation, and analysis of
data.  Pre/Corequisite(s):
   AP Calculus AB  Following the College Board’s suggested curriculum designed to parallel
collegelevel calculus courses, AP Calculus AB provides students with an
understanding of the concepts of calculus and experience with its
methods and applications. These courses introduce calculus and include
the following topics: functions, graphs, limits, and continuity;
differential calculus (including definition, application, and
computation of the derivative; derivative at a point; derivative as a
function; and second derivatives); and integral calculus (including
definite integrals and antidifferentiation).  Pre/Corequisite(s):
   AP Calculus BC  Following the College Board’s suggested curriculum designed to parallel
collegelevel calculus courses, AP Calculus BC courses provide students
with an understanding of the concepts of calculus and experience with
its methods and applications. These courses cover all of the calculus
topics in AP Calculus AB as well as the following topics: parametric,
polar, and vector functions; applications of integrals; and polynomial
approximations and series, including series of constants and Taylor
series.  Pre/Corequisite(s):
   College Algebra/Trigonometry  Trigonometry/Algebra courses combine trigonometry and advanced algebra
topics, and are usually intended for students who have attained Algebra 1
and Geometry objectives. Topics typically include right trigonometric
and circular functions, inverses, and graphs; trigonometric identities
and equations; solutions of right and oblique triangles; complex
numbers; numerical tables; field properties and theorems; set theory;
operations with rational and irrational expressions; factoring of
rational expressions; indepth study of linear equations and
inequalities; quadratic equations; solving systems of linear and
quadratic equations; graphing of constant, linear, and quadratic
equations; and properties of higherdegree equations.  Pre/Corequisite(s):
   Consumer Math  Consumer Mathematics courses reinforce general mathematics topics (such
as arithmetic using rational numbers, measurement, ratio and proportion,
and basic statistics) and apply these skills to consumer problems and
situations. Applications typically include budgeting, taxation, credit,
banking services, insurance, buying and selling products and services,
home and/or car ownership and rental, managing personal income, and
investment.  Pre/Corequisite(s):
   Geometry  Geometry courses, emphasizing an abstract, formal approach to the study
of geometry, typically include topics such as properties of plane and
solid figures; deductive methods of reasoning and use of logic; geometry
as an axiomatic system including the study of postulates, theorems, and
formal proofs; concepts of congruence, similarity, parallelism,
perpendicularity, and proportion; and rules of angle measurement in
triangles.  Pre/Corequisite(s):
   Geometry and the Visual Arts  Students will discover how mathematics is related to art by studying
examples of works of art from cultures around the world, examining the
mathematical concepts and techniques underlying these works, and using
graphic design software and other software tools to create original
works of art employing these ideas and techniques. A tentative list of
topics to be covered includes: recursion, symmetry transformations,
perspective and projections, color mixing, the golden ratio, and
sequences. Examples will be drawn from Asian, African and Arabic art, as
well as European art.  Pre/Corequisite(s):
   IB Math: Analysis and Approaches I  This course focuses on developing important mathematical concepts in a coherent and rigorous way, with an emphasis on communication and independent inquiry. The course reviews the fundamentals of algebra, geometry and trigonometry, before delving into an indepth investigation of statistics and singlevariable calculus.
 Pre/Corequisite(s):
   IB Math: Applications and Interpretations I, II  The course focuses on introducing important mathematical concepts with
an emphasis on statistics and introductory calculus. Instruction will
focus on the application of mathematics to realworld phenomena and the
interpretation of advanced mathematical notions in terms of concrete
scenarios.  Pre/Corequisite(s):
Trigonometry/Math Analysis    Mathematical Analysis/PreCalculus  Mathematic Analysis courses include the study of polynomial,
logarithmic, exponential, and rational functions and their graphs;
vectors; set theory; Boolean algebra and symbolic logic; mathematical
induction; matrix algebra; sequences and series; and limits and
continuity. They may also include some study of trigonometry and/or
precalculus topics.  Pre/Corequisite(s):
   Probability & Statistics  Probability and Statistics courses introduce the study of likely events
and the analysis, interpretation, and presentation of quantitative data.
Course topics generally include basic probability and statistics:
discrete probability theory, odds and probabilities, probability trees,
populations and samples, frequency tables, measures of central tendency,
and presentation of data (including graphs). Course topics may also
include normal distribution and measures of variability.  Pre/Corequisite(s):
   PVCC MTH 154/155 Quantitative Reasoning/Statistics  PVCC MTH 154 Quantitative Reasoning presents topics in proportional reasoning, modeling, financial literacy, and validity studies (logic and set theory). Focuses on the process of taking a realworld situation, identifying the mathematical foundation needed to address the problem, solving the problem, and applying what is learned to the original situation. This is a Passport Transfer course.
PVCC MTH 155 Statistics presents elementary statistical methods and concepts including visual data presentation, descriptive statistics, probability, estimation, hypothesis testing, correlation, and linear regression. Emphasis is placed on the development of statistical thinking, simulation, and the use of statistical software. This is a Passport Transfer course.
 Pre/Corequisite(s):
Algebra II    PVCC MTH 161/261 PreCalculus I/Applied Calculus I  MTH 161 PreCalculus I presents topics in power, polynomial, rational, exponential, and logarithmic functions, and systems of equations and inequalities. Credit will not be awarded for both MTH 161: Precalculus I and MTH 167: Precalculus with Trigonometry or equivalent. This is a Passport Transfer course. MTH 261 Applied Calculus I introduces limits, continuity, differentiation and integration of algebraic, exponential and logarithmic functions, and techniques of integration with an emphasis on applications in business, social sciences and life sciences. This is a Passport Transfer course.
 Pre/Corequisite(s):
   PVCC MTH 265/267 Calculus III/Differential Equations  MTH 265 Calculus III focuses on extending the concepts of function, limit, continuity, derivative, integral and vector from the plane to the threedimensional space. Topics include vector functions, multivariate functions, partial derivatives, multiple integrals, and an introduction to vector calculus. Designed for mathematical, physical and engineering science programs. MTH 267 Differential Equations introduces ordinary differential equations. Includes first order differential equations, second and higher order ordinary differential equations with applications, and numerical methods.  Pre/Corequisite(s):
   Skills Development Math 1, 2, 3  This is an individualized and comprehensive course that covers the concepts and skills necessary to be successful in Algebra 1.  Pre/Corequisite(s):
   Trigonometry/Math Analysis  Covering topics of both Trigonometry and Mathematic Analysis, these
courses prepare students for eventual work in calculus. Topics typically
include the study of right trigonometric and circular functions,
inverses, and graphs; trigonometric identities and equations; solutions
of right and oblique triangles; complex numbers; numerical tables;
polynomial, logarithmic, exponential, and rational functions and their
graphs; vectors; set theory; Boolean algebra and symbolic logic;
mathematical induction; matrix algebra; sequences and series; and limits
and continuity.  Pre/Corequisite(s):
 
