### MATH 20 Arithmetic

Units: 5

Hours: 90 hours LEC

Prerequisite: None.

This course provides instruction in the fundamentals of arithmetic with emphasis on computational skills. Topics include whole numbers, fractions, decimals, percents, ratios, proportions, problem solving, and applications.

#### Student Learning Outcomes

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

SLO (1): CORRECTLY USE THE ORDER OF OPERATIONS TO EVALUATE EXPRESSIONS. ACCURATELY COMPUTE PROBLEMS INVOLVING THE BASIC OPERATIONS OF ARITHMETIC (ADDITION, SUBTRACTION, MULTIPLICATION, DIVISION, EXPONENTS, ORDER OF OPERATIONS) ON WHOLE NUMBERS, FRACTIONS, AND DECIMALS.

### MATH 30 Pre-Algebra Mathematics

Units: 5

Hours: 90 hours LEC

Prerequisite: MATH 20 with a grade of "C" or better; or equivalent skills demonstrated through the assessment process.

This pre-algebra mathematics course emphasizes: fundamental operations on integers, fractions, and decimals; formulas involving geometric figures; measurement; and solving basic equations. Topics include: fractions; decimals; signed numbers; properties of exponents; scientific notation; conversions; metric system; square and cube roots; formula evaluation; solving equations; ratios; proportions; algebraic manipulations; descriptive statistics; the rectangular coordinate system; and elementary calculator use.

#### Student Learning Outcomes

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

SLO 1: ARTICULATE THE IMPORTANCE OF THE ORDER OF OPERATIONS AND HOW THEY RELATE TO THE REAL NUMBER SYSTEM, EXPRESSIONS, EQUATIONS AND EVALUATION OF MATHEMATICAL FORMULAS.

### MATH 70 Arithmetic Skills Lab

Units: 0.25 - 2

Hours: 13.5 - 108 hours LAB

Prerequisite: None.

Corequisite: MATH 20

This laboratory course provides the student with assistance in arithmetic skills via enrollment in the campus' Math Center. It is recommended for students who are encountering difficulties in the areas of math anxiety, basic skills, problem solving, and/or arithmetic concepts. Students may enter the Skills Lab course at any time during the first 12 weeks of the semester. It is recommended that the student register for 0.25 units. This recommended unit enrollment will require the student to spend a minimum of 13.5 hours throughout the semester in the Math Center studying for the relevant course. Students can take this course again in subsequent semesters until 2.0 total units have been completed. Students must be concurrently enrolled in an arithmetic-level course (MATH 20 - 29) in order to enroll in MATH 70. Placement into this Skills Lab can be made through student request, instructor recommendation, or an assessment process. This course is graded on a pass/no-pass basis.

#### Student Learning Outcomes

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

SLO(1): BUILD STUDY SKILLS AND LEARNING STRATEGIES NEEDED FOR CONTINUED SUCCESS IN MATHEMATICS EDUCATION.

### MATH 71 Pre-Algebra Skills Lab

Units: 0.25 - 2

Hours: 13.5 - 108 hours LAB

Prerequisite: None.

Corequisite: MATH 30

This laboratory course provides the student with assistance in pre-algebra skills via enrollment in the campus' Math Center. It is recommended for students who are encountering difficulties in the areas of math anxiety, basic skills, problem solving, algebraic manipulations and/or algebra concepts. Students may enter the Skills Lab course at any time during the first 12 weeks of the semester. It is recommended that the student register for 0.25 units. This recommended unit enrollment will require the student to spend a minimum of 13.5 hours throughout the semester in the Math Center studying for the relevant course. Students can take this course again in subsequent semesters until 2.0 total units have been completed. Students must be concurrently enrolled in a pre-algebra-level course (MATH 30 - 39) in order to enroll in MATH 71. Placement into this Skills Lab can be made through student request, instructor recommendation, or an assessment process. This course is graded on a pass/no-pass basis.

#### Student Learning Outcomes

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

SLO(1): BUILD STUDY SKILLS AND LEARNING STRATEGIES NEEDED FOR CONTINUED SUCCESS IN MATHEMATICS EDUCATION.

### MATH 72 Elementary Algebra Skills Lab

Units: 0.25 - 2

Hours: 13.5 - 108 hours LAB

Prerequisite: None.

Corequisite: MATH 100, 101, or 102

This laboratory course provides the student with assistance in elementary algebra skills via enrollment in the campus' Math Center. It is recommended for students who are encountering difficulties in the areas of math anxiety, basic skills, problem solving, algebraic manipulations and/or algebra concepts. Students may enter the Skills Lab course at any time during the first 12 weeks of the semester. It is recommended that the student register for 0.25 units. This recommended unit enrollment will require the student to spend a minimum of 13.5 hours throughout the semester in the Math Center studying for the relevant course. Students can take this course again in subsequent semesters until 2.0 total units have been completed. Students must be concurrently enrolled in an elementary algebra-level course (MATH 100 - 109) in order to enroll in MATH 72. Placement into this Skills Lab can be made through student request, instructor recommendation, or an assessment process. This course is graded on a pass/no-pass basis.

#### Student Learning Outcomes

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

SLO(1): BUILD STUDY SKILLS AND LEARNING STRATEGIES NEEDED FOR CONTINUED SUCCESS IN MATHEMATICS EDUCATION.

### MATH 73 Intermediate Algebra/Math Literacy Skills Lab

Units: 0.25 - 2

Hours: 13.5 - 108 hours LAB

Prerequisite: None.

Corequisite: MATH 120, 125, or 144

This laboratory course provides the student with assistance in intermediate algebra skills via enrollment in the campus' Math Center. It is recommended for students who are encountering difficulties in the areas of math anxiety, basic skills, problem solving, algebraic manipulations and/or intermediate algebra concepts. Students may enter the Skills Lab course at any time during the first 12 weeks of the semester. It is recommended that the student register for 0.25 units. This recommended unit enrollment will require the student to spend a minimum of 13.5 hours throughout the semester in the Math Center studying for the relevant course. Students can take this course again in subsequent semesters until 2.0 total units have been completed. Students must be concurrently enrolled in an intermediate algebra-level course (MATH 120 - 129), including any mathematical literacy course (MATH 140 - 149) in order to enroll in MATH 73. Placement into this Skills Lab can be made through student request, instructor recommendation, or an assessment process. This course is graded on a pass/no-pass basis.

#### Student Learning Outcomes

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

SLO(1): BUILD STUDY SKILLS AND LEARNING STRATEGIES NEEDED FOR CONTINUED SUCCESS IN MATHEMATICS EDUCATION.

### MATH 74 Statistics/Geometry Skills Lab

Units: 0.25 - 2

Hours: 13.5 - 108 hours LAB

Prerequisite: None.

Corequisite: MATH 110 or STAT 300

This laboratory course provides the student with assistance in statistics and/or geometry skills via enrollment in the campus' Math Center. It is recommended for students who are encountering difficulties in the areas of math anxiety, basic skills, problem solving, algebraic manipulations, statistics and/or geometry concepts. Students may enter the Skills Lab course at any time during the first 12 weeks of the semester. It is recommended that the student register for 0.25 units. This recommended unit enrollment will require the student to spend a minimum of 13.5 hours throughout the semester in the Math Center studying for the relevant course. Students can take this course again in subsequent semesters until 2.0 total units have been completed. Students must be concurrently enrolled in a statistics (STAT 300) or Geometry (MATH 110) course in order to enroll in MATH 74. Placement into this Skills Lab can be made through student request, instructor recommendation, or an assessment process. This course is graded on a pass/no-pass basis.

#### Student Learning Outcomes

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

SLO(1): BUILD STUDY SKILLS AND LEARNING STRATEGIES NEEDED FOR CONTINUED SUCCESS IN MATHEMATICS EDUCATION.

### MATH 75 Skills Lab for Miscellaneous Non-Transferable Math

Units: 0.25 - 2

Hours: 13.5 - 108 hours LAB

Prerequisite: None.

This laboratory course provides the student with assistance in all non-transfer-level math courses via enrollment in the campus' Math Center. It is recommended for students who are encountering difficulties in the areas of math anxiety, basic skills, problem solving, algebraic manipulations, and/or algebra concepts. Students may enter the Skills Lab course at any time during the first 12 weeks of the semester. It is recommended that the student register for 0.25 units. This recommended unit enrollment will require the student to spend a minimum of 13.5 hours throughout the semester in the Math Center studying for the relevant course. Students can take this course again in subsequent semesters until 2.0 total units have been completed. Students must be concurrently enrolled in a non-transferable math course (MATH 20 – 199) in order to enroll in MATH 75. MATH 75 should only be used as a Skills Lab if there is not already a relevant Skills Lab course available that better fits the student's main math course. Placement into this Skills Lab can be made through student request, instructor recommendation, or an assessment process. This course is graded on a pass/no-pass basis.

#### Student Learning Outcomes

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

SLO(1): BUILD STUDY SKILLS AND LEARNING STRATEGIES NEEDED FOR CONTINUED SUCCESS IN MATHEMATICS EDUCATION.

### MATH 76 Trigonometry/Precalculus Skills Lab

Units: 0.25 - 2

Hours: 13.5 - 108 hours LAB

Prerequisite: None.

Corequisite: MATH 335 or 370

This laboratory course provides the student with assistance in trigonometry and/or precalculus (including college algebra) skills via enrollment in the campus' Math Center. It is recommended for students who are encountering difficulties in the areas of math anxiety, advanced algebra skills, problem solving, trigonometric concepts, functions, graphs, etc. Students may enter the Skills Lab course at any time during the first 12 weeks of the semester. It is recommended that the student register for 0.25 units. This recommended unit enrollment will require the student to spend a minimum of 13.5 hours throughout the semester in the Math Center studying for the relevant course. Students can take this course again in subsequent semesters until 2.0 total units have been completed. Students must be concurrently enrolled in a trigonometry (MATH 335) or precalculus (MATH 370) course in order to enroll in MATH 76. Placement into this Skills Lab can be made through student request, instructor recommendation, or an assessment process. This course is graded on a pass/no-pass basis.

#### Student Learning Outcomes

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

SLO(1): BUILD STUDY SKILLS AND LEARNING STRATEGIES NEEDED FOR CONTINUED SUCCESS IN MATHEMATICS EDUCATION.

### MATH 77 Calculus I/II Skills Lab

Units: 0.25 - 2

Hours: 13.5 - 108 hours LAB

Prerequisite: None.

Corequisite: MATH 350, 351, 400, or 401

This laboratory course provides the student with assistance in differential and/or integral calculus skills via enrollment in the campus' Math Center. It is recommended for students who are encountering difficulties in the areas of math anxiety, advanced algebra skills, problem solving, calculus concepts, etc. Students may enter the Skills Lab course at any time during the first 12 weeks of the semester. It is recommended that the student register for 0.25 units. This recommended unit enrollment will require the student to spend a minimum of 13.5 hours throughout the semester in the Math Center studying for the relevant course. Students can take this course again in subsequent semesters until 2.0 total units have been completed. Students must be concurrently enrolled in a differential or integral calculus course (MATH 350, 351, 400 or 401) in order to enroll in MATH 77. Placement into this Skills Lab can be made through student request, instructor recommendation, or an assessment process. This course is graded on a pass/no-pass basis.

#### Student Learning Outcomes

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

SLO(1): BUILD STUDY SKILLS AND LEARNING STRATEGIES NEEDED FOR CONTINUED SUCCESS IN MATHEMATICS EDUCATION.

### MATH 78 Calculus III/DE/Linear Algebra Skills Lab

Units: 0.25 - 2

Hours: 13.5 - 108 hours LAB

Prerequisite: None.

Corequisite: MATH 402, 410, or 420

This laboratory course provides the student with assistance in multi-variable calculus, differential equations, and linear algebra skills via enrollment in the campus' Math Center. It is recommended for students who are encountering difficulties in the areas of math anxiety, advanced algebra skills, problem solving, calculus concepts, etc. Students may enter the Skills Lab course at any time during the first 12 weeks of the semester. It is recommended that the student register for 0.25 units. This recommended unit enrollment will require the student to spend a minimum of 13.5 hours throughout the semester in the Math Center studying for the relevant course. Students can take this course again in subsequent semesters until 2.0 total units have been completed. Students must be concurrently enrolled in a multi-variable calculus (MATH 402), linear algebra (MATH 410), or differential equations (MATH 420) course in order to enroll in MATH 78. Placement into this Skills Lab can be made through student request, instructor recommendation, or an assessment process. This course is graded on a pass/no-pass basis.

#### Student Learning Outcomes

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

SLO(1): BUILD STUDY SKILLS AND LEARNING STRATEGIES NEEDED FOR CONTINUED SUCCESS IN MATHEMATICS EDUCATION.

### MATH 79 Skills Lab for Miscellaneous Transferable Math

Units: 0.25 - 2

Hours: 13.5 - 108 hours LAB

Prerequisite: None.

This laboratory course provides the student with assistance in all transfer-level math courses via enrollment in the campus' Math Center. It is recommended for students who are encountering difficulties in the areas of math anxiety, advanced algebra skills, problem solving, trigonometry, calculus, etc. Students may enter the Skills Lab course at any time during the first 12 weeks of the semester. It is recommended that the student register for 0.25 units. This recommended unit enrollment will require the student to spend a minimum of 13.5 hours throughout the semester in the Math Center studying for the relevant course. Students can take this course again in subsequent semesters until 2.0 total units have been completed. Students must be concurrently enrolled in a transfer-level math course (MATH 300 and above) in order to enroll in MATH 79. MATH 79 should only be used as a Skills Lab if there is not already a relevant Skills Lab course available that better fits the student's main math course. Placement into this Skills Lab can be made through student request, instructor recommendation, or an assessment process. This course is graded on a pass/no-pass basis.

#### Student Learning Outcomes

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

SLO(1): BUILD STUDY SKILLS AND LEARNING STRATEGIES NEEDED FOR CONTINUED SUCCESS IN MATHEMATICS EDUCATION.

### MATH 81 Academic Skills in Mathematics

Units: 0.25 - 6

Hours: 13.5 - 324 hours LAB

Prerequisite: None.

This course is designed for students concurrently enrolled in MATH 20, 30, 100, 101, 102, 110, 120, 125, or 144; placement can be made through student request, instructor recommendation, or an assessment process. This laboratory course provides assistance in math skills to students enrolled in a non-transferable mathematics course. Students may enter the course at any time during the first 12 weeks of the semester and earn 0.25 or 0.5 units. This course is graded on a pass/no-pass basis. MATH 81 is recommended for students who are encountering difficulties in the areas of math anxiety, basic skills, algebraic concepts or manipulation, graphing, problem solving, etc.

#### Student Learning Outcomes

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

SLO(1): BUILD STUDY SKILLS AND LEARNING STRATEGIES NEEDED FOR CONTINUED SUCCESS IN MATHEMATICS EDUCATION.

### MATH 82 Academic Skills in Mathematics for Transfer Level

Units: 0.25 - 6

Hours: 13.5 - 324 hours LAB

Prerequisite: None.

This course is designed for students concurrently enrolled in MATH 300, MATH 310, MATH 315, MATH 335, MATH 341, MATH 343, MATH 344, MATH 350, MATH 351, MATH 370, MATH 400, MATH 401, MATH 402, MATH 410, MATH 420, or STAT 300. This laboratory course provides assistance in math skills to students enrolled in a transferable mathematics or statistics course. Students may enter the course at any time during the first 12 weeks of the semester and earn 0.25 or 0.5 units. This course is graded on a pass/no-pass basis. MATH 82 is recommended for students who are encountering difficulties in the areas of math anxiety, basic skills, algebraic concepts or manipulations, graphing, statistics, problem solving, etc.

#### Student Learning Outcomes

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

SLO(1): BUILD STUDY SKILLS AND LEARNING STRATEGIES NEEDED FOR CONTINUED SUCCESS IN MATHEMATICS EDUCATION.

### MATH 83 Self Study Mathematics Modules

Units: 0.25 - 1

Hours: 13.5 - 54 hours LAB

Prerequisite: None.

The course enables students to review specific math topics which are necessary for success in MATH 20, MATH 30, MATH 100 or any course requiring the skills taught in these classes. Learning objectives and the course of study will be designed for each individual based on the needs of the student. A partial list of modules includes fractions, decimals, signed number arithmetic, percent, simplifying algebraic expressions, factoring, and solving linear equations. Modules cannot replace any existing mathematics course, and successful completion of MATH 83 currently does not satisfy any mathematics prerequisite. MATH 83 is a credit/no-credit class and students can enroll in the class at any time during the semester.

#### Student Learning Outcomes

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

SLO(1): UTILIZE MATHEMATICAL TERMINOLOGY AND ARTICULATE MATHEMATICAL CONCEPTS APPROPRIATE TO THE MODULE BEING STUDIED.

### MATH 85 Math Study Skills

Units: 1

Hours: 18 hours LEC

Prerequisite: None.

This course is designed to assist students in learning mathematics through the development of successful math study skills, specifically at the basic skills level (arithmetic, prealgebra, and beginning algebra). This course addresses topics such as learning styles, tools and techniques for reading a math textbook, using math homework as a learning tool, taking notes in a math class, preparing and taking exams/quizzes in a math class, and techniques for overcoming math anxiety. It is strongly advised that students be concurrently enrolled in a math course, as an opportunity to apply the learned material in real time. For further guidance and/or recommendations, students are advised to speak with someone in the math department.

#### Student Learning Outcomes

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

SLO#1: DEMONSTRATE AN UNDERSTANDING OF THE LEARNING PROCESS AS IT APPLIES TO MATHEMATICS AS SHOWN BY:

### MATH 100 Elementary Algebra

Units: 5

Hours: 90 hours LEC

Prerequisite: MATH 30 with a grade of "C" or better; or equivalent skills demonstrated through the assessment process.

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, factoring polynomials. 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 solving quadratic equations.

#### Student Learning Outcomes

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

SLO#1: Use increased computational skills and number sense, recognize the order of operations and properties of real numbers; include evaluating various mathematical formulas and extending operations to variable expressions and combining like terms.

### MATH 101 Elementary Algebra - Part I

Units: 2

Hours: 36 hours LEC

Prerequisite: MATH 30 with a grade of "C" or better, or equivalent skills demonstrated through the assessment process.

This course presents the fundamental concepts and operations of algebra with problem solving and critical thinking skills incorporated throughout. Topics include: review of properties of real numbers and signed numbers; algebraic expressions, solving linear equations and inequalities; solving linear systems of equations; graphing, properties of exponents; operations on polynomials.

#### Student Learning Outcomes

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

SLO#1: Use increased computational skills and number sense, recognizing the order of operations and the basic operations and properties of real numbers, including evaluating various mathematical formulas and extend operations to variable expressions and combining like terms.

### MATH 102 Elementary Algebra - Part II

Units: 3

Hours: 54 hours LEC

Prerequisite: MATH 101 with a grade of "C" or better, or equivalent skills demonstrated through the assessment process.

A continuation of MATH 101, this course presents the fundamental concepts and operations of algebra with problem solving and critical thinking skills incorporated throughout. Topics covered include: factoring and applications; operations on rational expressions and solving rational equations; rectangular coordinate systems; graphing lines and linear inequalities; equation of lines; roots and radical expressions; solving quadratic equations; complex numbers; continued study of problem solving and applications.

#### Student Learning Outcomes

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

SLO#1: Understand the concept of prime polynomial and record the products of prime factors of polynomials using various techniques.

### MATH 110 Elementary Geometry

Units: 5

Hours: 90 hours LEC

Prerequisite: MATH 100 or 102 with a grade of "C" or better, or equivalent skills demonstrated through the assessment process.

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.

#### Student Learning Outcomes

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

SLO #1: DEMONSTRATE UNDERSTANDING OF THE STEP-BY-STEP DEVELOPMENT OF A LOGICAL MATHEMATICAL SYSTEM

### MATH 120 Intermediate Algebra

Units: 5

Hours: 90 hours LEC

Prerequisite: MATH 100 or 102 with a grade of "C" or better; or equivalent skills demonstrated through the assessment process.

This course extends the concepts of elementary algebra with problem solving skills and applications emphasized throughout. Topics which are briefly reviewed and subsequently extended include: solving equations (quadratic, radical, rational, and systems of linear equations), graphing linear equations, simplifying expressions (polynomial, rational, radical, and those involving integer exponents), and factoring polynomials. New topics include: solving more complex equations and inequalities (exponential, logarithmic, linear and quadratic inequalities, and systems of non-linear equations), graphing more complex equations (quadratics, circles, and various functions using transformations), functions and their properties, exponential and logarithmic functions and their properties.

#### Student Learning Outcomes

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

**SLO 1:** Identify and analyze linear behavior, models, and graphs of linear equations and linear inequalities. Utilize the properties of linear equations to solve linear inequalities, and solve absolute value equations and inequalities

- interpret the slope of a linear equation as a rate of change.
- generate an algebraic model for data that follows linear behavior and interpret the results of this model.
- sketch the graph of a linear inequality using its algebraic representation.

### MATH 125 Intermediate Algebra with Applications

Units: 4

Hours: 72 hours LEC

Prerequisite: MATH 100 or 102 with a grade of "C" or better; or equivalent skills demonstrated through the assessment process.

This course is designed for the intermediate algebra student who plans to continue only into STAT 300, PSYC 330, MATH 300, MATH 310, or MATH 315. The course topics include linear behavior, functions and graphs, exponential and logarithmic functions, systems, and polynomial, rational, exponential, logarithmic and radical expressions and equations. This course will feature discovery activities, applications to real data sets and problems which are current and relevant.

#### Student Learning Outcomes

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

SLO 1: ANALYZE AND FIND BEST FIT EQUATIONS FOR REAL WORLD DATA GIVEN IN MANY FORMS.

### MATH 144 Math for Contemporary Careers

Units: 3

Hours: 54 hours LEC

Prerequisite: MATH 100 or 102 with a grade of "C" or better, or equivalent skills demonstrated through the assessment process.

In the current information age, what mathematics should every person know? This course examines the contributions of mathematics in today's world. Students will explore mathematics' on-going role in society beginning with the need for and development of number systems, logical thinking, and current processes for coding and decoding data. A major focus of the course will be contemporary methods for analyzing data and interpreting statistics to make informed decisions. Students will conclude the course by selecting a module of mathematical interest from a list of available topics drawn from vocational programs and contemporary careers such as automotive technology, construction technology, film, digital media and broadcasting, medical records, pharmacy technology or other emerging career fields.

#### Student Learning Outcomes

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

SLO 1: EXPLORE THE ORIGINS AND CULTURAL CONTRIBUTIONS OF EARLY NUMBER SYSTEMS INCLUDING WRITING AND CALCULATING IN OTHER SYSTEMS

### MATH 295 Independent Studies in Mathematics

Units: 1 - 3

Hours: 54 - 162 hours LAB

Prerequisite: None.

An independent studies project involves an individual student or small group of students in study, research, or activities beyond the scope of regularly offered courses. See the current catalog section of "Special Studies" for full details of Independent Studies.

#### Student Learning Outcomes

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

SLO #1: Actively engage in intellectual inquiry beyond that required in order to pass a course of study (College Wide Learning Outcome – Area 4).

### MATH 300 Introduction to Mathematical Ideas

Units: 3

Hours: 36 hours LEC; 54 hours LAB

Prerequisite: MATH 120 or 125 with a grade of "C" or better; or equivalent skills demonstrated through the assessment process.

Transferable: CSU; UC

Introduction to Mathematical Ideas allows liberal arts students to meet general education mathematics requirements while exploring concepts and objects of mathematics in a meaningful way. This course is designed to show some of the essence and quality of mathematics, and to enhance precision in the evaluation and expression of ideas, thereby developing a student’s quantitative reasoning skills. It is recommended primarily for students who do not plan to major in a math-related field, but may be of interest to others as well. Course content may include topics from numeration systems, logic, geometry, probability, statistics, algebraic modeling, number theory, consumer mathematics, graph theory, voting and apportionment, and perhaps others; concepts of contemporary mathematics may be covered. Emphasis is placed on the deductive process.

#### Student Learning Outcomes

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

SLO 1: Categorize and analyze mathematical objects and apply them to real life problems

### MATH 310 Mathematical Discovery

Units: 3

Hours: 54 hours LEC

Prerequisite: MATH 110 or Geometry; AND MATH 120 or 125 with a grade of "C" or better; or equivalent skills demonstrated through the assessment process.

Transferable: CSU

This course is designed to introduce students to the spirit of mathematics by involving them in the mathematical process of exploration, conjecture, and proof. Students will explore mathematical patterns and relations, formulate conjectures, and prove their conjectures. Areas of mathematics from which content may be derived include number theory, statistics, probability, geometry, and sequences and series. This course is recommended for students interested in a career in education.

#### Student Learning Outcomes

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

SLO(1) EXPLORE MATHEMATICAL PATTERNS AND MAKE CONJECTURES

### MATH 315 Exploratory Field Experience in Mathematics

Units: 3

Hours: 36 hours LEC; 54 hours LAB

Prerequisite: MATH 120 or 125 with a grade of "C" or better; or equivalent skills demonstrated through the assessment process.

Transferable: CSU; UC

This course is an education-based field experience in mathematics designed to allow students to explore learning styles, learning environments and learning methods as they apply to tutoring and teaching mathematics. While exploring teaching as a career choice, students will have the opportunity to learn and practice essential skills to motivate and assist younger students with their progress through the mathematics curriculum. Students will be assigned to area schools to observe and assist in a mathematics classroom and to work with selected students in structured one-on-one or group settings. Weekly seminars will allow students to share experiences and compare observations. Students will also have the opportunity to explore their own cognitive learning styles and consider how these learning styles relate to mathematics both as learner and as teacher. Students will have the opportunity to learn about social, cultural, and educational issues related to mathematics and the school environment. This course is recommended for students considering a major in teaching preparation who may wish to pursue either a multiple subject credential or a single subject credential in mathematics. Prior to beginning work in the schools, students may be required to be fingerprinted and pass a TB test. This course may be taken two times for credit.

#### Student Learning Outcomes

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

SLO 1: UNDERSTAND LEARNING

### MATH 335 Trigonometry with College Algebra

Units: 5

Hours: 90 hours LEC

Prerequisite: MATH 110 or Geometry; AND MATH 120; both with a grade of "C" or better; or equivalent skills demonstrated through the assessment process.

Transferable: CSU

This is a full trigonometry course with algebra concepts reviewed, extended, and integrated when they are relevant to the trigonometric concepts. The trigonometric topics include right triangle trigonometry, unit circle trigonometry, graphs of trigonometric functions, proofs of trigonometric identities, solving trigonometric equations, applications of trigonometric functions (law of sines and cosines), and inverse trigonometric functions. The algebra topics include exponential and logarithmic functions, complex numbers, conic sections, the polar coordinate system, and solving equations, inequalities, and systems of equations.

#### Student Learning Outcomes

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

SLO#1: Cite the six fundamental trigonometric functions and be able to interpret and evaluate them

### MATH 341 Calculus for Business and Economics

Units: 4

Hours: 72 hours LEC

Prerequisite: MATH 120 with a grade of "C" or better; or equivalent skills demonstrated through the assessment process.

Transferable: CSU; UC (MATH 341, 350 and 400 combined: maximum transfer credit of one course)

CID: C-ID MATH 140

This course offers an introduction to the concepts and techniques of sets, functions, limits, analytic geometry and the differential and integral calculus. This course is intended for business students; it is not recommended for mathematics, physical or life science majors.

#### Student Learning Outcomes

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

SLO 1: SIMPLIFY ALGEBRAIC EXPRESSIONS AND SOLVE ALGEBRAIC EQUATIONS RELATED TO BUSINESS PROBLEMS.

### MATH 343 Modern Business Mathematics

Units: 4

Hours: 72 hours LEC

Prerequisite: MATH 120 with a grade of "C" or better, or equivalent skills demonstrated through the assessment process.

Transferable: CSU

This course is designed around applications of mathematics in an economic and business context. The major topics included are functions, finance (interest and exponential models), rates of change, optimization, and linear programming. The content of the course is structured to incorporate tables, graphs and data sets collected from real-world situations. This course is not recommended for mathematics or physical science majors.

#### Student Learning Outcomes

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

SLO 1: Understand and apply the mathematics of finance

### MATH 350 Calculus for the Life and Social Sciences I

Units: 3

Hours: 54 hours LEC

Prerequisite: MATH 335 with a grade of "C" or better; or equivalent skills demonstrated through the assessment process.

Transferable: CSU; UC (1) MATH 350, 351, 400, 401 and 402 combined: maximum transfer credit of one series*; 2) MATH 341, 350 and 400 combined: maximum transfer credit of one course)

This course is an introduction to calculus. Topics include functions, trigonometric functions, limits, analytic geometry, and differential calculus with applications to business, social, and biological sciences. This course is intended for students majoring in social and biological sciences.

#### Student Learning Outcomes

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

SLO 1: Evaluate and understand limits

### MATH 351 Calculus for the Life and Social Sciences II

Units: 3

Hours: 54 hours LEC

Prerequisite: MATH 350 with a grade of "C" or better

Transferable: CSU; UC (MATH 350, 351, 400, 401 and 402 combined: maximum transfer credit of one series*)

This course is a continuation of Math 350. Topics include: definite and indefinite integrals, power series, analytic geometry, multivariate calculus, and differential equations with applications to business, social, and biological sciences. Not open to students who have received credit for MATH 401 or higher level mathematics course. See "Cross-Listed Courses" in the catalog.

#### Student Learning Outcomes

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

SLO #1: COMPARE AND CONTRAST BETWEEN THE CONCEPTS OF DERIVATIVES, ANTIDERIVATIVES, AND INTEGRALS.

### MATH 355 Calculus for Biology and Medicine I

Units: 4

Hours: 72 hours LEC

Prerequisite: MATH 335 with a grade of "C" or better, or equivalent skills demonstrated through the assessment process.

Transferable: CSU; UC

This course is an introduction to differential calculus and elementary differential equations via applications in biology and medicine. It covers limits, derivatives of polynomials, trigonometric and exponential functions, graphing, and applications of the derivative to biology and medicine. Topics include the Fundamental Theorem of Calculus and techniques of integration, including integral tables and numerical methods.

#### Student Learning Outcomes

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

SLO#1: EXAMINE THE GRAPHS AND LIMITS OF FUNCTIONS.

### MATH 356 Calculus for Biology and Medicine II

Units: 4

Hours: 72 hours LEC

Prerequisite: MATH 355 with a grade of "C" or better, or equivalent skills demonstrated through the assessment process.

Transferable: CSU; UC

This course covers matrix algebra with eigenvalues and eigenvectors, systems of linear equations, functions of several variables, partial derivatives, systems of differential equations, and applications to biology and medicine.

#### Student Learning Outcomes

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

SLO #1: SOLVE SYSTEMS OF EQUATIONS.

### MATH 370 Pre-Calculus Mathematics

Units: 5

Hours: 90 hours LEC

Prerequisite: MATH 335 with a grade of "C" or better; or equivalent skills demonstrated through the assessment process.

Transferable: CSU; UC

This course is designed to prepare students for the calculus sequence (MATH 400, 401, 402). Course content includes a brief review followed by an in-depth extension of the properties of polynomial, rational, exponential, logarithmic, and trigonometric functions. Additional topics include systems of linear and non-linear equations and inequalities, conic sections, sequences and series, analytic geometry, vectors, parametric, and polar equations. A graphing calculator may be required for this course.

#### Student Learning Outcomes

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

SLO1: WORK WITH MATHEMATICAL EXPRESSIONS AND SOLVE MATHEMATICAL EQUATIONS.

### MATH 400 Calculus I

Units: 5

Hours: 90 hours LEC

Prerequisite: MATH 370 with a grade of "C" or better; or equivalent skills demonstrated through the assessment process.

Transferable: CSU; UC (1) MATH 350, 351, 400, 401 and 402 combined: maximum transfer credit of one series*; 2) MATH 341, 350 and 400 combined: maximum transfer credit of one course)

CID: C-ID MATH 210

This course explores the basic concepts of analytic geometry, limits, derivatives, and integrals. Topics covered will include the graphs, derivatives, and integrals of algebraic, trigonometric, exponential, logarithmic, and hyperbolic functions, and indeterminate forms. Many applications will be covered, including those involving rectilinear motion, differentials, related rates, graphing, and optimization.

#### Student Learning Outcomes

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

SLO1: Evaluate limits of algebraic and transcendental functions.

### MATH 401 Calculus II

Units: 5

Hours: 90 hours LEC

Prerequisite: MATH 400 with a grade of "C" or better

Transferable: CSU; UC (MATH 350, 351, 400, 401 and 402 combined: maximum transfer credit of one series*)

CID: C-ID MATH 220

This course is a continuation of MATH 400. Topics covered include techniques of integration, numerical integration, improper integrals, infinite series, parametric equations, polar coordinates, and conic sections. Many applications will be covered including those involving areas between plane regions, volumes of revolution, work, moments and concepts of mass, average value, arc length, and surface area.

#### Student Learning Outcomes

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

SLO#1: Understand the concept of using the limit of a Riemann sum to find areas and volumes.

### MATH 402 Calculus III

Units: 5

Hours: 90 hours LEC

Prerequisite: MATH 401 with a grade of "C" or better

Transferable: CSU; UC (MATH 350, 351, 400, 401 and 402 combined: maximum transfer credit of one series*)

CID: C-ID MATH 230

This course extends the concepts of limits, derivatives and integrals to vector-valued functions and functions of more than one variable. Topics covered will include three-dimensional analytic geometry and vectors, partial derivatives, multiple integrals, line integrals, surface integrals, and the theorems of Green, Gauss (Divergence), and Stokes. Many applications of the calculus will be included.

#### Student Learning Outcomes

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

SLO 1:

WORK WITH VECTORS AND GRAPHS IN BOTH TWO AND THREE DIMENSIONS.

### MATH 410 Introduction to Linear Algebra

Units: 3

Hours: 54 hours LEC

Prerequisite: MATH 401 with a grade of "C" or better

Advisory: MATH 402

Transferable: CSU; UC

CID: C-ID MATH 250

This course introduces linear algebra. Topics include matrices, determinants, systems of equations, vector spaces, linear transformations, eigenvectors, and applications. This course is intended for majors in mathematics, engineering, science, and related fields.

#### Student Learning Outcomes

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

SLO 1: SOLVE SYSTEMS OF LINEAR EQUATIONS

### MATH 420 Differential Equations

Units: 4

Hours: 72 hours LEC

Prerequisite: MATH 401 with a grade of "C" or better

Advisory: MATH 402 (may be taken concurrently)

Transferable: CSU; UC

CID: C-ID MATH 240

This course will cover the theory and the applications of the solutions of ordinary differential equations and systems of ordinary differential equations. The course will introduce students to various topics useful in the solution of differential equations including power series, Laplace transforms, matrices, eigenvalues and eigenvectors, and numerical methods.

#### Student Learning Outcomes

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

SLO 1: SOLVE FIRST ORDER DIFFERENTIAL EQUATIONS AND APPLY THEM TO REAL WORLD PROBLEMS.

### MATH 483 Honors Seminar in Mathematics - Introduction to Mathematical Proof

Units: 1

Same As: HONOR 391

Hours: 18 hours LEC

Prerequisite: MATH 370 with a grade of "C" or better

Transferable: CSU; UC

Honors Seminars in Mathematics are special one-unit intensive courses for academically accomplished students or those with the potential for high academic achievement. This particular course will study various methods of mathematical proof in a seminar setting, and will be particularly useful to students planning to study calculus, differential equations, and linear algebra. Topics include: deductive reasoning, proof by axioms, proofs of conditional and biconditional statements, proofs by contrapositive and contradiction, and proof by mathematical induction. Studies will include homework, discussions, oral presentations and lectures. Students will be expected to do independent problem solving and present their solutions to the class. Enrollment is limited to Honors Program students (see catalog). This course is the same as HONOR 391. This course, under either name, may be taken one time for credit. This course will be offered in spring semester only.

#### Student Learning Outcomes

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

SLO 1: EXAMINE METHODS OF PROOF

### MATH 484 Honors Seminar in Mathematics - Topics in Number Theory

Units: 1

Same As: HONOR 392

Hours: 18 hours LEC

Prerequisite: MATH 370 with a grade of "C" or better

Transferable: CSU; UC

Honors Seminars in Mathematics are special one-unit intensive courses for academically accomplished students or those with the potential for high academic achievement. This particular course will study various topics in the field of number theory in a seminar setting. Topics include: the integers and their properties; finding integer solutions to Diophantine equations (equations with more variables than equations); and cryptography (the study of how secret codes are created and broken). Studies will include homework, discussions, oral presentations and lectures. Students will be expected to do independent problem solving and present their solutions to the class. Enrollment is limited to Honors Program students (see catalog). This course is the same as HONOR 392. This course, under either name, may be taken one time for credit. This course will be offered in spring semester only.

#### Student Learning Outcomes

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

SLO 1: EXAMINE THE PROPERTIES OF THE INTEGERS

### MATH 495 Independent Studies in Mathematics

Units: 1 - 3

Hours: 54 - 162 hours LAB

Prerequisite: None.

Transferable: CSU

An independent studies project involves an individual student or small group of students in study, research, or activities beyond the scope of regularly offered courses. See the current catalog section of "Special Studies" for full details of Independent Studies.

#### Student Learning Outcomes

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

SLO #1: Actively engage in intellectual inquiry beyond that required in order to pass a course of study (College Wide Learning Outcome – Area 4).