# Mathematics (MATH Courses)

## MATH 100 Nature of Modern Mathematics

3.0 units.

Prerequisite: MATH 331 - Algebra 2 ; or Placement according to AHC placement policy

Acceptable for credit: Transfer CSU

C-ID Course Number: N/A

Grading Method: Letter Grade or Pass/No Pass

A study of contemporary topics in mathematics including statistics, social choice,
management science, and geometric and algebraic patterns.

## MATH 105 Mathematics for Teachers

4.0 units.

Prerequisite: MATH 331 - Algebra 2 ; or prior completion of Math 334 Algebra 2: Part 2

Acceptable for credit: Transfer to UC, CSU

C-ID Course Number: Math 120

Course Offered:
Fall, Spring

Grading Method: Letter Grade Only

A study of basic concepts of mathematics required for the liberal studies major and
the multiple subject teaching credential. It is recommended for current elementary
and junior high school teachers. It is also recommended for the career technical single
subject education credential candidate. Topics include development of critical thinking,
set theory, logic, numeration systems, the set of integers, elementary number theory,
the set of rational numbers, the set of real numbers, and measurement of geometric
figures.

## MATH 121 Trigonometry

3.0 units.

Prerequisite: MATH 331 - Algebra 2 ; or Placement according to AHC placement policy.

Acceptable for credit: Transfer CSU

Grading Method: Letter Grade Only

The study of directed angles, degree/radian measures of angles, trigonometric functions
of angles and of numbers, solutions of right and oblique triangles, identities, functions
of composite angles, graphs, equations, inverse functions, vectors and complex numbers.

## MATH 123 Elementary Statistics

4.0 units.

Prerequisite: MATH 331 - Algebra 2 ; or Placement according to AHC placement policy.

Acceptable for credit: *Transfer to CSU, limited to UC/see counselor

C-ID Course Number: MATH 110

Grading Method: Letter Grade Only

A study of descriptive and inferential statistics including applications in the behavioral
and natural sciences. Topics include classification and analysis of data, probability,
distributions, sampling, the binomial, normal, t, F, and chi-square distributions,
confidence intervals, hypothesis testing, regression analysis, analysis of variance
and non-parametric methods. Calculators and/or computers will be used throughout.

## MATH 123S Support For Math 123: Elementary Statistics

1.0 unit.

Corequisite: MATH 123 - Elementary Statistics

Acceptable for credit: Transfer CSU

Course Offered:
Fall, Spring, Summer

Grading Method: Pass/No Pass

This course is offered as a supplement for students enrolled in Math 123, Elementary
Statistics. It is intended for students for whom support has been recommended or
required. The course reviews prerequisite topics and strategies to be a more successful
math student.

## MATH 131 College Algebra

3.0 units.

Prerequisite: MATH 331 - Algebra 2 ; or Placement according to AHC placement policy.

Acceptable for credit: Transfer to UC, CSU

Grading Method: Letter Grade Only

College level course in algebra for majors in science, technology, engineering, and
mathematics: polynomial, rational, radical, exponential, absolute value, and logarithmic
functions; systems of equations; theory of polynomial equations; analytic geometry.

## MATH 131S Support For Math 131: College Algebra

1.5 units.

Corequisite: MATH 131 - College Algebra

Acceptable for credit: Transfer CSU

Course Offered:
Fall, Spring, Summer

Grading Method: Pass/No Pass

This course is offered as a supplement for students enrolled in Math 131; College
Algebra. It is intended for students for whom support has been recommended or required.
The course reviews prerequisite topics and strategies to be a more successful math
student.

## MATH 135 Calculus with Applications

4.0 units.

Prerequisite: MATH 331 - Algebra 2

Acceptable for credit: Transfer to UC, CSU

C-ID Course Number: Math 140

Course Offered:
Fall, Spring

Grading Method: Letter Grade Only

Techniques of calculus as applied to problem-solving in business and social, behavioral,
and natural sciences, including limits, continuity, differentiation and integration
in one and several dimensions, optimization, transcendental functions, and the use
of computing technology.

## MATH 135S Support For Math 135: Calculus with Applications

1.5 units.

Corequisite: MATH 135 - Calculus with Applications

Acceptable for credit: Transfer CSU

Course Offered:
Fall, Spring

Grading Method: Pass/No Pass

This course is offered as a supplement for students enrolled in Math 135, Calculus
with Applications. It is intended for students for whom support has been recommended
or required. The course reviews prerequisite topics and strategies to be a more successful
math student.

## MATH 141 Precalculus

6.0 units.

Prerequisite: MATH 331 - Algebra 2 ; or Placement according to AHC placement policy.

Acceptable for credit: Transfer to UC, CSU

C-ID Course Number: MATH 955

Grading Method: Letter Grade Only

Preparation for calculus: the study of polynomial, absolute value, radical, rational,
exponential, and logarithmic functions, analytic geometry, and polar coordinates.
The study of trigonometric functions, their inverses and their graphs, identities
and proofs related to trigonometric expressions, trigonometric equations, solving
right triangles, solving triangles using the Law of Cosines and the Law of Sines,
and introduction to vectors. This is an accelerated one semester alternative to the
two semesters of trigonometry (Math 121) and College Algebra (Math 131).

## MATH 141S Support For Math 141: Precalculus

1.5 units.

Corequisite: MATH 141 - Precalculus

Acceptable for credit: Transfer CSU

Course Offered:
Fall, Spring, Summer

Grading Method: Pass/No Pass

This course is offered as a supplement for students enrolled in Math 141, Precalculus.
It is intended for students for whom support has been recommended or required. The
course reviews prerequisite topics and strategies to be a more successful math student.

## MATH 181 Calculus 1

4.0 units.

Prerequisite: MATH 141 - Precalculus ; or MATH 121 - Trigonometry ; and MATH 131 - College Algebra

Acceptable for credit: *Transfer to CSU, limited to UC/see counselor

C-ID Course Number: MATH 210, MATH 900S

Course Offered:
Fall, Spring, Summer

Grading Method: Letter Grade Only

The first in a two-semester sequence comprising first-year calculus. Topics include
functions, limits, continuity, the derivative, differentiation of algebraic, trigonometric
and transcendental functions, applications of differentiation, the definite integral,
and the use of technology to solve calculus problems.

## MATH 182 Calculus 2

4.0 units.

Prerequisite: MATH 181 - Calculus 1

Acceptable for credit: Transfer to UC, CSU

C-ID Course Number: MATH 220, MATH 900S

Course Offered:
Fall, Spring

Grading Method: Letter Grade Only

The second in a two-semester sequence comprising first-year calculus. Topics include
methods and applications of integration, sequences and series, Taylor series, an introduction
to differential equations, and the use of technology to solve calculus problems.

## MATH 183 Multivariable Calculus

4.0 units.

Prerequisite: MATH 182 - Calculus 2

Acceptable for credit: Transfer to UC, CSU

C-ID Course Number: MATH 230

Course Offered:
Fall, Spring

Grading Method: Letter Grade Only

Topics include vectors, functions of several variables; differentiation and integration
in several dimensions; change of variables; parameterized curves and vector fields,
line and surface integrals; Green's, Stokes', and divergence theorems.

## MATH 184 Linear Algebra/Differential Equations

5.0 units.

Prerequisite: MATH 182 - Calculus 2

Acceptable for credit: Transfer to UC, CSU

C-ID Course Number: MATH 910S

Course Offered:
Fall, Spring

Grading Method: Letter Grade Only

First order ordinary differential equations, including separable, linear, homogeneous
of degree zero, Bernoulli and exact with applications and numerical methods. Solutions
to higher order differential equations using undetermined coefficients, variation
of parameters, and power series, with applications. Solutions to linear and non-linear
systems of differential equations, including numerical solutions. Matrix algebra,
solutions of linear systems of equations, and determinants. Vector spaces, linear
independence, basis and dimension, subspace and inner product space, including the
Gram-Schmidt procedure. Linear transformations, kernel and range, eigenvalues, eigenvectors,
diagonalization and symmetric matrices.

## MATH 189 Independent Projects

1.0 - 3.0 units.

Acceptable for credit: Transfer CSU

C-ID Course Number: N/A

Grading Method: Letter Grade or Pass/No Pass

Courses for students capable of independent work who demonstrate the need or desire
for additional study beyond the regular curriculum. Enrollment allows students to
pursue activities such as directed field experience, research, or development of skills
and competencies under faculty advisement and supervision. Independent projects may
be earned in most disciplines. Students wishing to enroll in Independent Projects
should contact the appropriate instructor identified in the class schedule. If the
project proposed is acceptable to that instructor, a contract will be developed. All
contracts for these classes must be completed and submitted to the Records Office
no later than the end of the second week of the semester. Students may enroll for
any combination (unit value) of Independent Projects 189 and/or 389 for a total of
four semesters in a specific discipline. Units are awarded depending upon satisfactory
performance and the amount of time committed by the student to the course. Allowable
units vary according to discipline, and are based on the following formula: 1 unit
- 48 hours per semester 2 units - 96 hours per semester 3 units - 144 hours per semester

## MATH 309 Algebra and Math Literacy

4.0 units.

Prerequisite: MATH 521 - Foundations of Mathematics or MATH 531
;

Acceptable for credit: D - Credit - Degree Applicable

Course Offered:
Fall, Spring, Summer

Grading Method: Letter Grade or Pass/No Pass

This course will focus on mathematical modeling, including linear equations, quadratic
equations and exponential equations. Fundamentals of algebra, geometry, statistics
and measurement will be discussed. Numeracy, graphing and problem solving strategies
will be incorporated throughout the course.

## MATH 311 Algebra 1

4.0 units.

Prerequisite: MATH 521 - Foundations of Mathematics ; or MATH 579A

Acceptable for credit: D - Credit - Degree Applicable

Course Offered:
Fall, Spring, Summer

Grading Method: Letter Grade or Pass/No Pass

A study of the fundamental ideas and methods used to simplify expressions and solve
equations and inequalities, including applications. Topics covered include the real
numbers, linear equations and inequalities, graphing, polynomials, factoring, rational
expressions, introduction to square roots, and quadratic equations. This course is
not open to students who are enrolled in or have received credit for MATH 313 or 314.

## MATH 321 First Year Geometry

3.0 units.

Prerequisite: MATH 309 - Algebra and Math Literacy ; or MATH 311 - Algebra 1 ; or completion of Math 313 and 314

Acceptable for credit: C - Credit - Not Degree Applicable

Course Offered:
Fall, Spring, Summer

Grading Method: Letter Grade or Pass/No Pass

A study of basic geometry principles including constructions, congruence, parallels,
right triangles, similarity, circles, and proofs.

## MATH 331 Algebra 2

4.0 units.

Advisories: MATH 321 - First Year Geometry

Prerequisite: MATH 309 - Algebra and Math Literacy ; or MATH 311 - Algebra 1 ; or MATH 313 and MATH 314

Acceptable for credit: D - Credit - Degree Applicable

Course Offered:
Fall, Spring, Summer

Grading Method: Letter Grade or Pass/No Pass

A continuation of the study of methods used to simplify expressions and solve equations
and inequalities, including applications. Topics covered include exponents and radicals,
rational and radical expressions, complex numbers, nonlinear equations and inequalities,
functions and their graphs, systems of equations, exponential expressions, and logarithms.

## MATH 331S Support For Math 331: Algebra 2

1.0 unit.

Corequisite: MATH 331 - Algebra 2

Acceptable for credit: D - Credit - Degree Applicable

Course Offered:
Fall, Spring, Summer

Grading Method: Pass/No Pass

This course is offered as a supplement for students enrolled in Math 331; Algebra
2. It is intended for students for whom support has been recommended. or required.
The course reviews prerequisite topics and strategies to be a more successful math
student.

## MATH 521 Foundations of Mathematics

5.0 units.

Acceptable for credit: C - Credit - Not Degree Applicable

Course Offered:
Fall, Spring

Grading Method: Letter Grade or Pass/No Pass

Prepares students for the algebra sequence and updates mathematical skills for personal,
career, or academic advancement. Topics include: fractions, decimals, percents, measurement,
signed numbers, simple equations and modeling. The course emphasizes problem solving
techniques that are useful in practical situations. Students should have knowledge
of multiplication tables, division, subtraction, number operations and number sense,
measurement, basic geometry, and patterns. The course is not open to students who
have passed MATH 511.