# 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]

Prerequisite: Math 50 or 52C

Acceptable for credit: CSU, UC

[CAN Math 16]

Advanced algebra and analytic geometry: Linear, quadratic,

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,

and quadric surfaces. 1701.00

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]

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]

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]

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]

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]

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]

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

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]

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)

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

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,

solving quadratic equations, fractions, radicals and exponents,

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

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, advanced factoring, complex numbers, quadratic

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

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

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

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

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

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

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

quadratic equations, fractions, radicals and exponents, word

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

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,

advanced factoring, complex numbers, quadratic 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. 4930.42