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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.