**Mathematics**

Apply Now## Mathematics at Skyline College

Math is a powerful tool for understanding our world. It is used to model weather and climate, to understand financial and human systems, and is the language of science and engineering used to design the technology of tomorrow.

Mathematics forms the foundation of modern science and as such it is essential for those who want to understand and take part in the important scientific developments of our time. But it is also extremely useful for students in the social sciences as well as anyone who wants to comprehend, more fully, the world around us. At its crux, mathematics is a way for us to deepen our understanding and expand our horizons.

## Employment Statistics

### Average Salary in California

### Jobs Growth Rate over 10 Years*

#### Actuaries

$116,540

21%

#### Data Scientists

$133,110

36%

Source: U.S. Department of Labor

A degree in Mathematics can be a gateway to many jobs in the sciences, including education, engineering, computer science, and physics.

Many broad skills are gained by studying mathematics: individuals must keep an open mind, ask frequent questions and seek out the reasons behind their work instead of simply memorizing. Perseverance, organization and critical thinking are also important for any mathematics student, no matter their skill level.

Almost all students at Skyline College will need to take at least one Mathematics course. It is important that you start in the appropriate class and that you do so within in your first or second semester. Please consult with a counselor to find out what is the best path for you.

### Career Outlook

No matter your career, a basic understanding of mathematics is extremely useful, and often essential to success. A degree in Mathematics can be a gateway to many jobs in the sciences, including education, engineering, computer science, and physics.

Looking for a list of classes offered this semester?

Check out the current class schedule.## All Courses

**MATH 130 Trigonometry (4 units)**

Trigonometric functions of real numbers and angles; solution of triangles; radian measure; graphs of trigonometric functions; trigonometric equations and identities; inverse trigonometric functions; complex numbers; applications of trigonometry. A TI-83, 83+, 84, or 84+ graphing calculator is required for the course.

**MATH 150 Mathematics for Elementary School Teachers (3 units)**

Intended for future elementary school teachers. Topics include basic set theory, elementary number theory, numeration, number systems and operations, and problem solving techniques associated with the real number system.

**MATH 200 Elementary Probability & Statistics (4 units)**

Basic concepts underlying statistical methods and covers descriptive statistics, probability, probability distributions, hypothesis testing, estimates and sample sizes, correlation and regression, chi–square tests, and analysis of variance. Computer analysis of statistical data is integrated into the course. Applications of statistics to business, life sciences and other areas are included.

**MATH 201 Math in Society (3 units)**

Development of the necessary concepts and skills for reasoning logically and quantitatively and applies these concepts to practical, real–life situations. Topics include: number systems, logic, geometry, probability and statistics, linear and exponential modeling.

**MATH 211 Introduction to Data Science (4 units)**

An introduction to the foundations of data science from three perspectives: inferential thinking, computational thinking, and real-world relevance. The course teaches critical concepts and skills in computer programming and statistical inference in conjunction with hands-on analysis of real-world datasets, as well as social issues surrounding data analysis such as privacy and design.

**MATH 222 Precalculus (5 units)**

Functional and graphing approach to the concepts and skills necessary as background for success in Calculus. Study of more advanced algebra, including logic, theory of equations, translation, rotation and composition approach to graphing, exponential and logarithmic functions, conic sections and a brief review of trigonometry.

**MATH 225 Path to Calculus (6 units)**

Equivalent to MATH 130 and 222. This accelerated course combines the topics of Trigonometry and Pre-Calculus and is designed to fulfill the requirements of both courses in a single course. Topics include a study of functions, function families, their properties and transformations, compositions, inverses and combinations, complex numbers, and vectors. Function families include linear, trigonometric, logarithmic, exponential, polynomial, power, and rational. Multiple representations of functions are emphasized.

**MATH 241 Applied Calculus I (5 units)**

Basic techniques of differential and integral calculus of functions of one variable, including polynomial, rational, exponential, logarithmic and exponential functions. Selected topics from applications in analytic geometry, limits, differentiation, applications of the derivative, and applications of the integral.

**MATH 242 Applied Calculus II (3 units)**

Basic techniques of integral calculus. The definition, calculation, and application of the integral. Logarithmic, exponential, and trigonometric functions. Partial derivatives, multiple integrals, differential equations, and Taylor Series. A TI-83, 83+, 84, or 84+ graphing calculator is required for the course.

**MATH 243 Applied Calculus II with Trigonometry (4 units)**

The second half of a two-semester calculus sequence designed for business and applied science majors. Topics include the integral, techniques of integration, an introduction to trigonometry, multivariable calculus, and differential equations.

**MATH 251 Calculus with Analytic Geometry I (5 units)**

The study of limits and continuity, the derivative, applications of the derivative, the definite integral, and the fundamental theorem of calculus. Primarily for science, technology, engineering, and math majors.

**MATH 252 Calculus with Analytic Geometry II (5 units)**

The study of applications of the definite integral, techniques of integration involving polynomial, rational, trigonometric, inverse trigonometric, exponential, and logarithmic functions, vectors, differentiation and integration of functions in polar coordinates and parametric form, analysis of sequences, series, and power series, including differentiation and integration of power series, Taylor series, and Fourier series. Note: TI-83 or TI-84 Graphing Calculator required.

**MATH 253 Calculus with Analytic Geometry III (5 units)**

The study of vector valued functions, sequences and series, Taylor’s formula, multivariable functions, differential calculus and integral calculus of multivariable functions, line and surface integrals and differential equations, Green's Theorem, Stokes' Theorem, divergence theorem. Note: TI-83 or TI-84 Graphing Calculator required.

**MATH 270 Linear Algebra (3 units)**

The study of systems of linear equations, the algebra of matrices, determinants, vector spaces, linear transformations, the algebra of linear transformations with an introduction to dual spaces, eigenvalues and eigenvectors, and the applications of vectors and matrices to linear equations and linear transformations.

**MATH 275 Ordinary Differential Equations (3 units)**

This course in ordinary differential equations includes quantitative and qualitative methods incorporating a variety of applications from many disciplines. Theoretical aspects of differential equations including existence of solutions and techniques for finding solutions including power series (infinite series) solutions, ordinary points, singular points, linear systems, nonlinear systems, dynamical systems, Laplace transforms and operator techniques.

**MATH 650 Mathematics Supplement (0.5- 2 units)**

Based on individual needs, students will have directed learning experiences to improve their mathematical skills which will promote mastery of skills necessary for success in college level mathematics and science courses. These supplementary lessons will be arranged and supervised in the Math Assistance Lab of The Learning Center. Class hours are devoted to work on specific content areas as prescribed for the individual student. (Open entry.) (Units do not count toward the Associate Degree.)

**MATH 800 Just-In-Time Support for Elementary Probability & Statistics (2 units)**

A review of the core prerequisite skills, competencies, and concepts needed in statistics. Intended for students who are concurrently enrolled in MATH 200, Elementary Statistics, at Skyline College. Topics include concepts from arithmetic, pre-algebra, elementary and intermediate algebra, and descriptive statistics that are needed to understand the basics of college-level statistics. Concepts are taught through the context of descriptive data analysis. Additional emphasis is placed on solving and graphing linear equations and modeling with linear functions. (Units do not count toward Associate Degree.)

**MATH 819 Mathematics Development (3 units)**

Prepares students for college-level Mathematics. Topics include whole numbers, decimals, fractions, percents, ratio and proportion, measurement, geometry, statistics, introductory symbolic manipulation, order of operations and analytic methods for solving linear applications. Course emphasis will be on using these ideas and skills to solve problems from everyday life. Students will be required to complete individual and collaborative work with assignments both in-class, outside class. Students will be required to use tutoring facilities for assignments as well. Note: This course does not replace any course in Skyline College’s required course sequence based on placement testing. (Units do not count toward the Associate Degree.)

**MATH 825 Just-In-Time Support for Path to Calculus (2 units)**

A review of the core prerequisite skills, competencies, and concepts needed in pre-calculus. Intended for majors in science, technology, engineering, and mathematics who are concurrently enrolled in MATH 225, Path to Calculus. Topics include: a review of computational skills developed in intermediate algebra, factoring, operations on rational and radical expressions, absolute value equations and inequalities, exponential and logarithmic expressions and equations, functions including composition and inverses, an in-depth focus on quadratic functions, and a review of topics from geometry.

**MATH 830 Just-In-Time Support for Analytical Trigonometry (1 units)**

A review of the core prerequisite skills, competencies, and concepts needed in trigonometry. Intended for students who are concurrently enrolled in MATH 130, Analytical Trigonometry.

**MATH 841 Just-In-Time Support for Applied Calculus I (1 units)**

A review of the core prerequisite skills, competencies, and concepts needed in college algebra. Intended for majors in science, technology, engineering, and mathematics who are concurrently enrolled in MATH 241, Applied Calculus I, at Skyline College. Topics include: a review of computational skills developed in intermediate algebra, factoring, operations on rational and radical expressions, absolute value equations and inequalities, exponential and logarithmic expressions and equations, conic sections, functions including composition and inverses, and an in-depth focus on quadratic functions. Appropriate for students who are confident in their graphing and beginning algebra skills. A graphing calculator is required. (Units do not count toward the Associate Degree.)

Program | Type | Total Units |
---|---|---|

Mathematics | AA | 60 Units |

Mathematics for Transfer | AS-T | 60 Units |

Math Jam is a FREE two-week intensive math preparation program designed to:

- Prepare students for their upcoming Math courses
- Connect with a community of support
- Develop successful study skills

Mathematics Engineering Science Achievement (MESA) is an academic enrichment program which helps educationally disadvantaged students excel in math and science and graduate from college with degrees in math-based fields.

Learn more about MESAThe Skyline College Math Assistance Lab brings together academic and student support services for students taking science, technology, engineering and math courses.

- One-on-one and small group assistance with math assignments for all levels of Math and Statistics
- Specialized software applications and web resources
- Academic Success Workshops for mathematics, from basic Math skills to Calculus
- Learning Center staff are available in virtual tutoring rooms across disciplines for synchronous, video, or chat drop-in tutoring.

The Skyline College STEM Center brings together academic and student support services for students taking science, technology, engineering and math courses.

The center supports student success by ensuring students have access to resources such as academic tutoring, counseling services, a resource depository for STEM pathways and transfer, a hub for internships and work based learning opportunities, as well as a place where students and staff can collaborate and build a community and supportive connection.

Check out the STEM CenterUpon completion of the program students will be able to:

- ANALYZE problems in mathematics in order to appropriately choose and correctly apply concepts and techniques.
- COMMUNICATE solutions in mathematics by using the multiple representations of graphs, tables, symbols, and words.
- PARTICIPATE in activities that reinforce the use of success strategies while solving problems in mathematics.
- CREATE mathematical models or hypothesis tests for real-world data sets and evaluate their implications for society.

Students may use a variety of measures for appropriate placement into the pathways depicted below. These include EAP, 1B, ELM, SAT, ACT, and AP exam scores as well as high school transcripts. Please see the Assessment Center for more information: call (650) 738-4150, email skyassessment@smccd.edu, or visit the Assessment Center Website.

IMPORTANT: Which courses you take in either pathway depend on transfer destination and your intended major. To select your appropriate math class, see your counselor or use assist.org to retrieve course articulation information.

View the Math Placement Chart### Statistics and Liberal Arts Mathematics {SLAM) Pathway

##### Math 150

Math for Elementary School Teachers (3 units)

##### Math 200

Intro to Statistics (4 units)

With Math 800 corequisite support (2 units)

##### Math 211

Intro to Data Science (4 units)

##### Math 201

Math in Society (3 units)

*PSYC 171 can also satisfy Quantitative Reasoning requirement*

### Business, Science, Technology, Engineering, and Mathematics {B-STEM) Pathway

##### Math 130

Trigonometry (4 units)

With Math 830 corequisite support (1 unit)

##### Math 211

Intro to Data Science (4 units)

##### Math 222

Precalculus (5 units)

##### Math 251

Calculus I (5 units)

##### Math 252

Calculus II (5 units)

##### Math 253

Calculus III (5 units)

##### Math 270

Linear Algebra (5 units)

##### Math 275

Differential Equations I (5 units)

##### Math 225

Path to Calculus (6 units)

With Math 825 corequisite support (2 units)

##### Math 211

Intro to Data Science (4 units)

##### Math 251

Calculus I (5 units)

##### Math 252

Calculus II (5 units)

##### Math 253

Calculus III (5 units)

##### Math 270

Linear Algebra (5 units)

##### Math 275

Differential Equations I (5 units)

##### Math 241

Business Calculus I (5 units)

With Math 841 corequisite support (1 unit)

##### Math 211

Intro to Data Science (4 units)

##### Math 243

Business Calculus II with Trigonometry (4 units)

*BUS 113, 120, 123 can also satisfy Quantitative Reasoning requirement*

### Why Study Data Science?

#### Impact

Have a direct impact on your community and solve real-world problems

#### Research

Strengthen your research skills and enhance work from any major

#### Communication

Data helps you communicate in tech and non-tech fields

#### High Demand

Data Science will see continued growth across all industries

#### Diversity

Bring diverse perspectives to how algorithms are built

#### Creativity

Create new tools and use innovative modeling to tell a story

### Data Science Offered at Skyline College

#### MATH 211: Introduction to Data Science

**Spring 2023 CRN: 48135**

Tuesdays and Thursdays 9:10 to 10:25 am at Skyline

Prof. Swartout

- CSU transferrable & UC Articulation IGETC Approved
- Based on a popular UC Berkeley Course called DATA 8
- A friendly introduction to coding in Python - no experience required

#### COMP 122: Introduction to Computer Programming: Python

**Spring 2023 CRN: 47819**

Tuesdays and Thursdays 2:10 - 3:25 pm ONLINE

Prof. Momeni

- UC and CSU transferrable
- Designed to teach computer programming to Computer Science majors and non-majors
- Introduction to Python Programming in interesting, relevant, and practical contexts

### DataPath to CSU East Bay

- Skyline now offers a Data Science Transfer pathway to CSU East Bay (no calculus required)
- Earn a BS in Statistics with a Concentration in Data Science
- Take any transfer level math class (such as MATH 200), MATH 211, COMP 122 & fulfill the CSU GE requirements to qualify for transfer

#### To learn more,

contact Denise Hum, Math Professor, at humd@smccd.edu