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# MATHEMATICS

(MATH)

The AS degree in Mathematics will be awarded upon satisfactory
completion of the Major course requirements and the
General Education requirements.

Degree Major Requirements:
Completion of at least 18 units in Mathematics courses selected
from the following list:
Must choose one course from MATH 1 or 3A:
MATH 1 Pre-Calculus (4)
MATH 3A Calculus I (5) 4-5
Plus remaining units selected from the following list:
MATH 2 Precalculus with Analytic Geometry (5)
MATH 3B Calculus II (5)
MATH 3C Calculus III (5)
MATH 3D Linear Algebra and Differential Equations (5)
MATH 13 Introduction to Statistics (4)
MATH 15 Mathematics for Liberal Arts Students (3)
MATH 16A Calculus for Business and Life/Social
Sciences (3)
MATH 16B Calculus for Business and Life/Social
Sciences (3)
MATH 50 Trigonometry (3)
MATH 201 Elementary Algebra (4)
MATH 202 Geometry (3)
MATH 203 Intermediate Algebra (4) 13-14
Total required units: 18

1. Pre-Calculus
4 units, 4 hours lecture
Prerequisite: Math 203 or 211D or (204C)
Acceptable for credit: CSU, UC
[CAN Math 10]

Preparation for the calculus sequence or other courses requiring
a sound algebraic background: Inequalities, theory of
equations, sequences and series, matrices, functions and relations,
logarithmic and exponential functions; function concept
used as a unifying notion. 1701.00
AA/AS area 4b; CSU area B4; IGETC area 2

2. Precalculus with Analytic Geometry
5 units, 5 hours lecture
Prerequisite: Math 50 or 52C
Acceptable for credit: CSU, UC
[CAN Math 16]

polynomial, rational, exponential and logarithmic functions;
inverse functions; determinants, matrices and linear systems;
zeros of polynomials, arithmetic and geometric sequences,
mathematical induction; permutations and combinations,
binomial theorem; vectors, conic sections, translation and
rotation of axes, polar coordinates, lines and surfaces in space,
AA/AS area 4b; CSU area B4; IGETC area 2

3A. Calculus I
5 units, 5 hours lecture
Prerequisite: Math 2; or Math 1, and 50 or 52C
Acceptable for credit: CSU, UC
[CAN Math 18]

[Math 3A+Math 3B: CAN Math Seq B]
[Math 3A+Math 3B+Math 3C: CAN Math Seq C]
Theorems on limits and continuous functions, derivatives,
differentials and applications: Fundamental theorems of calculus
and applications; properties of exponential, logarithmic,
and inverse trigonometric functions, and hyperbolic functions.
1701.00
AA/AS area 4b; CSU area B4; IGETC area 2

3B. Calculus II
5 units, 5 hours lecture
Prerequisite: Math 3A or (4B)
Acceptable for credit: CSU, UC
[CAN Math 20]
[Math 3A+Math 3B: CAN Math Seq B]
[Math 3A+Math 3B+Math 3C: CAN Math Seq C]

Applications of the definite integral: Methods of integration,
polar coordinates, parametric equations, infinite series and
power series. 1701.00
AA/AS area 4b; CSU area B4; IGETC area 2

3C. Calculus III
5 units, 5 hours lecture
Prerequisite: Math 3B or (4C)
Acceptable for credit: CSU, UC
[CAN Math 22]
[Math 3A+Math 3B+Math 3C: CAN Math Seq C]

Partial differentiation, Jacobians, transformations, multiple
integrals, theorems of Green and Stokes, differential forms,
vectors and vector functions, geometric coordinates, and vector
calculus. 1701.00
AA/AS area 4b; CSU area B4; IGETC area 2

3D. Linear Algebra and Differential Equations
5 units, 5 hours lecture
Prerequisite: Math 3B or (4C)
Math 3D is equivalent to Math 3E and 3F at Alameda, Laney,
and Vista. Not open for credit to students who have completed
or are currently enrolled in Math 3E or 3F.
Acceptable for credit: CSU, UC
[CAN Math 24]

Ordinary differential equations, first and second order equations,
homogeneous linear differential equations, nonhomogeneous
linear differential equations, the Laplace transform
method of solutions, infinite series solutions, and systems of
linear differential equations. 1701.00
AA/AS area 4b; CSU area B4; IGETC area 2

13. Introduction to Statistics
4 units, 4 hours lecture
Prerequisite: Math 203 or 211D or (204C)
Acceptable for credit: CSU, UC
[CAN Stat 2]

Introduction to theory and practice of statistics: Collecting
data: Sampling, observational and experimental studies.
Organizing data: Univariate and bivariate tables and graphs,
histograms. Describing data: Measures of location, spread, and
correlation. Theory: Probability, random variables, binomial
and normal distribution. Drawing conclusions from data:
Confidence intervals, hypothesis testing, z-tests, t-tests and
chi-square tests; one-way analysis of variances. Regression and
non-parametric methods. 1701.00
AA/AS area 4b; CSU area B4; IGETC area 2

15. Mathematics for Liberal Arts Students
3 units, 3 hours lecture
Prerequisite: Math 203 or 211D or (204C)
Acceptable for credit: CSU, UC
[CAN Math 2]

Fundamental ideas underlying modern mathematics: Elements
from logic, sets, and number systems; concepts of elementary
algebra, geometry, topology, and combinatorics. 1701.00
AA/AS area 4b; CSU area B4

16A. Calculus for Business and Life/Social
Sciences
3 units, 3 hours lecture
Prerequisite: Math 1 or 2
Acceptable for credit: CSU, UC
[CAN Math 30]
[Math 16A+Math 16B: CAN Math Seq D]

Introduction to analytic geometry, and differential and integral
calculus of algebraic functions: Particular attention paid
to simple applications. 1701.00
AA/AS area 4b; CSU area B4; IGETC area 2

16B. Calculus For Business and Life/Social
Sciences
3 units, 3 hours lecture
Prerequisite: Math 16A or 3A or (4B)
Acceptable for credit: CSU, UC
[CAN Math 32]
[Math 16A+Math 16B: CAN Math Seq D]

Continuation of differential and integral calculus: Transcendental
functions, methods of integration, partial differentiation,
and multiple integration; particular attention to applications.
1701.00
AA/AS area 4b; CSU area B4; IGETC area 2

48NA-TZ. +Selected Topics in Mathematics
.5-5 units

See section on Selected Topics. 1701.00

49. Independent Study in Mathematics
.5-5 units

Course study under this section may be repeated three times.
See section on Independent Study. 1701.00

50. Trigonometry
3 units, 3 hours lecture
Prerequisite: Math 202, and 203 or 211D or (204C)
Acceptable for credit: CSU
[CAN Math 8]

Introduction to functional trigonometry: Basic definitions,
identities, graphs, inverse functions, trigonometric equations
and applications, and solution of triangles and applications.
1701.00
AA/AS area 4b; CSU area B4

113. ++Math Workshop for Statistics
1 unit, 1 hour lecture
Prerequisite: Math 203 or 211D or (204C)
Recommended preparation: Math 13 (recommended to be
taken concurrently)

Reinforcement of problem-solving skills in Statistics: Workshop
in solving routine problems dealing with theory and
practice of statistics; Collection of data: sampling, observational
and experimental studies; Organizing data: univariate
and bivariate to table and graphs, histograms; Describing data:
measures of location, spread and correlation; Theory: probability,
random variables, binomial and normal distribution;
Drawing conclusions from data: confidence intervals, hypothesis
testing, z-tests, t-tests and chi-square tests, one-way analysis
of variances; and regression and nonparametric methods.
1701.00

201. Elementary Algebra
4 units, 5 hours lecture
Prerequisite: Math 250 or 251D or 225 or 253 or appropriate
placement through multiple-measures assessment

Basic algebraic operations: Linear equations and inequalities,
relations and functions, factoring quadratic polynomials,
word problems, and graphing and number systems. 1701.00
AA/AS area 4b

202. Geometry
3 units, 3 hours lecture
Prerequisite: Math 201 or 210D or (204B) or appropriate
placement through multiple-measures assessment

Introduction to plane geometry: Emphasis on mathematical
logic and proofs; geometric constructions, congruent triangles,
parallel lines and parallelograms, proportions, similar
triangles, circles, polygons, and area. 1701.00
AA/AS area 4b

203. Intermediate Algebra
4 units, 5 hours lecture
Prerequisite: Math 201 or 210D or (204B) or appropriate
placement through multiple-measures assessment

Recommended preparation: Math 202
Real number properties and operations; solutions and graphs
of linear equations in one and two variables; absolute value
equations and systems of quadratic equations, conic sections,
determinants; solutions and graphs of first-degree, quadratic
and rational inequalities; exponential and logarithmic functions,
and sequences and series. 1701.00
AA/AS area 4b

248NA-TZ. +Selected Topics in Mathematics
.5-5 units

See section on Selected Topics. 1701.00

250. Arithmetic
3 units, 3 hours lecture
Not open for credit to students who have completed or are
concurrently enrolled in Math 251A-D.
Non-degree applicable

Refresher course in fundamental processes: Whole numbers,
fractions, decimals and percents; metric system incorporated
throughout arithmetic material. 4930.41

251A-D. +Arithmetic [Self-Paced]
1-4 units, 4 hours lecture
(1 unit, 1 hour lecture each module)
Open-entry/open-exit, modular course
Prerequisite for Math 251B: Math 251A or appropriate
placement through multiple-measures assessment
Prerequisite for Math 251C: Math 251B or appropriate
placement through multiple-measures assessment
Prerequisite for Math 251D: Math 251C or appropriate
placement through multiple-measures assessment
Not open for credit to students who have completed or are
currently enrolled in Math 250.
Non-degree applicable

Course study under this section may be repeated three times.
251A: Arithmetic of whole numbers and fractions.
251B: Arithmetic of decimals and percents.
251C: Ratio, proportion, arithmetic of measures, including the
English and Metric Systems.
251D: Application to consumer-oriented problems and introduction
to the solution of equations and formulas. 4930.41

253. Pre-Algebra
3 units, 3 hours lecture
Recommended preparation: Math 250 or 251D or appropriate
placement through multiple-measures assessment
Non-degree applicable

Properties of real numbers; factoring and multiples, ratio and
proportion, signed numbers, linear equations and formulas,
powers and roots, percents and averages, and English and metric
measurements. 4930.41

270. ++Math Workshop for Arithmetic
1 unit, 1 hour lecture
Recommended preparation: Math 250 (recommended to be
taken concurrently)
Non-degree applicable

Reinforcement of problem-solving skills in Arithmetic: Workshop
in solving routine problems dealing with whole numbers
and arithmetic operations, fractions, decimals, ratios, proportions,
percents, measurements and scales, interpretations of
notation, and simple equations and formulas. 4930.41

271. ++Math Workshop for Pre-Algebra
1 unit, 1 hour lecture
Recommended preparation: Math 250 or 251D or appropriate
placement through multiple measures assessment; and Math
253 (recommended to be taken concurrently)
Non-degree applicable

Reinforcement of problem-solving skills in Pre-Algebra: Workshop
in solving routine problems dealing with real numbers,
factoring and multiples, ratio and proportion, signed numbers,
linear equations and formulas, powers and roots, percents and
averages, and English and metric measurements. 4930.41

272. ++Math Workshop for Elementary Algebra
1 unit, 1 hour lecture
Prerequisite: Math 250 or 251D or 225 or 253 or appropriate
placement through multiple-measures assessment
Recommended preparation: Math 201 (recommended to be
taken concurrently)
Non-degree applicable

Reinforcement of problem-solving skills in Elementary Algebra:
Workshop in solving routine problems dealing with basic
algebraic operations, linear equations and inequalities, relations
and functions, factoring quadratic polynomials, solving
problems, and graphic and number systems. 4930.42

273. ++Math Workshop for Intermediate Algebra
1 unit, 1 hour lecture
Prerequisite: Math 201 or 210D or (204B) or appropriate
placement through multiple-measures assessment
Recommended preparation: Math 202; and Math 203
(recommended to be taken concurrently)
Non-degree applicable

Reinforcement of problem-solving skills in Intermediate Algebra:
Workshop in solving routine problems dealing with real
number properties and operations, solutions and graphs of linear
equations in one and two variables; absolute value equations,