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# Description of Mathematics

**Mathematics
Associate in Science Degree**

**Program Information
**The mathematics program provides students the opportunity to complete the
lower-division coursework required for four-year programs in mathematics.
Declared majors will be invited to an orientation with the opportunity to meet
with mathematics faculty for advising. Majors will be encouraged to participate
in mathematical activities such as seminars, conferences, and poster sessions.

**Career Opportunities**

Mathematicians work as statisticians, analysts, computer programmers, actuaries,
researchers, planners and educators.

This major is designed to meet some of the lower-division requirements for a
major in Mathematics.

**Upon completion of this program, the student will be
able to:**

• explain and apply basic concepts of single variate calculus

including various forms of derivatives and integrals, their

interconnections, and their uses in analyzing and solving real-world problems.

• explain and apply basic concepts of multivariate calculus,

linear algebra, or differential equation techniques, their

interconnections, and their uses in analyzing and solving real-world problems.

• write logical proofs of basic theorems.

• use appropriate computer applications to demonstrate

mathematical problem solving.

**Required Program Units
**A minimum of 21 units from the
following:......................................21

MATH 400 Calculus I (5)

MATH 401 Calculus II (5)

MATH 402 Calculus III (5)

MATH 410 Introduction to Linear Algebra (3)

MATH 420 Differential Equations (4)

MATH 482 Honors Introduction to Proof and Analysis (3)

A minimum of 3 units from the
following:...........................................3

CISP 360 Introduction to Structured Programming (4)

CISP 370 Beginning Visual Basic (4)

CISP 400 Object Oriented Programming with C++ (4)

CISP 401 Object Oriented Programming with Java (4)

ENGR 405 Engineering Problem Solving (3)

STAT 480 Introduction to Probability and Statistics - Honors (4)

or STAT 300 Introduction to Probability and Statistics (4)

**Total Units Required 24**

Note: Students planning to transfer to four-year institutions are advised to meet with a counselor for general education requirements.

**Associate in Science (A.S.) Degree**

The Associate in Science degree may be obtained by completion of all courses in
the required program, plus general education requirements, plus sufficient
electives to meet a 60-unit total. See SCC graduation requirements.

Note: The University of California has a credit restriction on certain combinations of mathematics courses. See counselor for detailed information on the current UC Articulation Agreement.

## Mathematics (MATH)

**MATH 27 Self-Paced
Basic Skills .5-2 Units
Mathematics
**Prerequisite: None

Hours: 24 hours LEC; 108 hours LAB

This is a self-paced course in basic mathematics skills including the basic operations of addition, subtraction, multiplication, and division applied to the whole numbers, fractions, and decimals. This course is graded Pass/No Pass. Credit is earned in one-half unit increments, and is dependent on progress in the course and class participation. This is an open-entry/open-exit course with admission as late as the 12th week, and may be taken up to four times for a maximum of two units. This course does not fulfill the learning skills requirement for graduation.

**MATH 34 Pre-algebra
4 Units
**Prerequisite: MATH 27 with a “P” or by placement through the assessment
process. A grade of “P” is completion of the MATH 27 curriculum, regardless of
the number of units earned.

Hours: 72 hours LEC

The emphasis in this course will be on skills necessary for success in elementary algebra. Course content will include review of fundamentals of arithmetic including whole numbers, common fractions, decimal fractions, and percentages. Other topics include order of operations, signed numbers, complex fractions, exponents, and scientific notation. There will be an introduction to the algebra of polynomials and/or an introduction to graphing lines, as time permits.

## Math Sequence

**MATH 80 Mathematics Study Skills
1 Unit
**Prerequisite: MATH 27 with a “P” (Pass) or by placement through the
assessment process. A grade of “P” is completion of the Math 27 curriculum,
regardless of the number of units earned. A list consisting of current students
with a “P” grade in Math 27 will be issued from the Mathematics,Statistics, and
Engineering Division to the instructor prior to the first day of instruction.

Advisory: ENGRD 110 with a grade of “C” or better

Hours: 18 hours LEC

This course will help students increase their motivation and confidence and maximize their abilities in any mathematics course. Students will consider their current levels of math and test anxieties and make progress in lowering them to a productive level. Students will gain strategies to overcome barriers to mathematical success. Specific concepts will be designed for the current level of each student. Students may take this course along with another Mathematics or Statistics course or may wish to take the course as preparation before enrolling in a Mathematics or Statistics course. This course is graded as Pass/No Pass.

**MATH 100 Elementary
Algebra 5 Units
**Prerequisite: MATH 34 with a grade of “C” or better; or placement through
the assessment process.

General Education: AA/AS Area II(b)

Hours: 90 hours LEC

This course includes the fundamental concepts and operations of algebra with problem solving skills emphasized throughout. Topics include: properties of real numbers, linear equations and inequalities, integer exponents, polynomials, polynomial factorization, rational expressions and equations, radical expressions and equations, rational exponents, systems of linear equations and inequalities, the rectangular coordinate system, graphs and equations of lines, and quadratic equations.

**MATH 103 Elementary
Algebra, Part I 3 Units
**Prerequisite: MATH 34 with a grade of “C” or better; or placement through
the assessment process.

Hours: 54 hours LEC

This course will cover the first half of the traditional MATH 100 course. Topics include: properties of real numbers, linear equations and inequalities, integer exponents, polynomials, systems of linear equations and inequalities, the rectangular coordinate system, graphs and equations of lines, and applications.

**MATH 104 Elementary
Algebra, Part II 3 Units
**Prerequisite: MATH 103 with a grade of “C” or better

General Education: AA/AS Area II(b)

Hours: 54 hours LEC

This course covers the second half of the traditional MATH 100 course. Topics include: polynomial factorization, rational expressions and equations, radical expressions and equations, rational exponents, quadratic equations, and applications.

**MATH 110 Elementary
Geometry 5 Units
**Prerequisite: MATH 100 or 104 with a grade of “C” or better; or placement
through the assessment process.

General Education: AA/AS Area II(b)

AA/AS: Mathematics Competency

Hours: 90 hours LEC

This course introduces Euclidean Geometry. Topics include sets, definitions, postulates, theorems, deductive and inductive reasoning, proof, parallel lines, triangles, polygons, congruence, similarity, constructions, the Pythagorean Theorem, right triangle trigonometry, circles, analytic geometry, and elementary solid geometry.

**MATH 120 Intermediate
Algebra 5 Units
**Prerequisite: MATH 100 or 104 with a grade of “C” or better; or placement
through the assessment process.

General Education: AA/AS Area II(b)

AA/AS: Mathematics Competency

Hours: 90 hours LEC

This course reviews and extends the concepts of elementary algebra, with problem solving skills emphasized throughout. Topics that are reviewed and extended include: linear and quadratic equations, factoring polynomials, rational expressions, exponents, radicals, equations of lines, and systems of equations. New topics include graphs and their translations and reflections, functions, exponential and logarithmic functions, graphs of quadratic and polynomial functions, nonlinear systems of equations, polynomial, rational and absolute value inequalities, sequences, series and The Binomial Theorem.

**MATH 123 Intermediate
Algebra, Part I 3 Units
**Prerequisite: MATH 100 or 104 with a grade of “C” or better; or placement
through the assessment process.

General Education: AA/AS Area II(b)

Hours: 54 hours LEC

This course reviews and extends the concepts of elementary algebra with problem solving skills emphasized throughout. Topics include solving linear equations and inequalities, factoring of polynomials, rational expressions, exponents, radicals, solving equations containing rational and radical expressions, equations of lines, functions and absolute value equations and inequalities, and complex numbers.

**MATH 124
Intermediate Algebra, Part II 3 Units
**Prerequisite: MATH 123 with a grade of “C” or better

General Education: AA/AS Area II(b)

AA/AS: Mathematics Competency

Hours: 54 hours LEC

This course reviews and extends the concepts of elementary algebra and MATH 123 with problem solving skills emphasized throughout. Topics include quadratic expressions, equations, inequalities and graphs, systems of equations, composite and inverse functions, exponential and logarithmic functions, and sequences and series.

**MATH 140 Mathematical
Literacy 4 Units
**Prerequisite: MATH 100 or 104 with a grade of “C” or better; or placement
through the assessment process.

General Education: AA/AS Area II(b);

AA/AS: Mathematics Competency

Hours: 72 hours LEC

This course introduces students to every day uses of mathematics. Mathematical literacy is necessary to fully participate in the democratic decision-making process. Topics will include measurement systems, reasoning and logic, elections, inflation and other indexes, chance and risk, and finances, and may include other topics, such as environmental or health issues.