Mathematics, Associate of Science (AS)
Program Overview
Mathematics, Associate of Science (AS)
Overview
The Mathematics department strives to provide our students with the educational background necessary to pursue a successful career and to successfully transition into a baccalaureate institution. Each year, the list of careers demanding familiarity with basic mathematical skills grows. Environmental sciences, architecture, business management, nursing, dentistry, computer programming, electronics, forestry management, psychology, and photography represent only a small sample from this list.
Requirements
- Complete all of the following:
- All Department Requirements listed below with a “C” or better or “P” in each course (at least 20% of the department requirements must be completed through SBCC).
- One of the following three General Education options:
- OPTION 1: A minimum of 18 units of SBCC General Education Requirements (Areas A-D) and Institutional Requirements (Area E) and Information Competency Requirement (Area F) OR
- OPTION 2: IGETC Pattern OR
- OPTION 3: CSU GE Breadth Pattern
- A total of 60 degree-applicable units (SBCC courses numbered 100 and higher).
- Maintain a cumulative GPA of 2.0 or better in all units attempted at SBCC.
- Maintain a cumulative GPA of 2.0 or better in all college units attempted.
- A minimum of 12 units through SBCC.
Course List
Course List Code | Title | Units |
---|---|---|
Department Requirements | ||
MATH 150 | Calculus with Analytic Geometry I | 5 |
MATH 160 | Calculus with Analytic Geometry II | 5 |
MATH 200 | Multivariable Calculus 1 | 4 |
MATH 210 | Linear Algebra 1 | 4 |
MATH 220 | Differential Equations 1 | 4 |
Complete two courses from the following: | 6-10 | |
CHEM 155 | General Chemistry I | |
CS 104 | Introduction to Programming | |
CS 105 | Theory and Practice I | |
CS 106 | Theory and Practice II | |
CS 107 | Computer Architecture and Organization | |
CS 108 | Discrete Structures | |
CS 133 | Introduction to Programming for Engineers | |
CS 137 | C Programming | |
CS 140 | Object-Oriented Programming Using C++ | |
MATH 180 | Transition to Advanced Mathematics | |
PHYS 121 | Mechanics Of Solids And Fluids | |
PHYS 122 | Electricity and Magnetism | |
PHYS 123 | Heat, Light and Modern Physics | |
Total Units | 28.00-32.00 |
Learning Outcomes
- Use symbolic, graphical, numerical and written representations to describe mathematical ideas.
- Use mathematical reasoning to solve problems and apply a variety of problem-solving approaches to find and interpret solutions.
- Use mathematics to model and solve problems in the sciences.
- Use appropriate technology to enhance mathematical thinking and understanding, solve mathematical problems, and interpret their results.
- Use the language and notation of differential and integral calculus correctly and use appropriate style and format in written work.
- Recognize the roles of definitions, axioms and theorems, and identify and construct valid deductive arguments.
Recommended Sequence
Make an appointment with your SBCC academic counselor through Starfish to create a Student Education Plan that reflects a recommended course sequence for this program that is tailored to your individual needs.
Program Outline
Degree Overview:
- The Associate of Science (AS) program in Mathematics provides the foundation for further study in mathematics or a related field.
- Graduates of the program can transfer to a four-year university to pursue a bachelor's degree in mathematics, science, or engineering.
Objectives:
- Prepare students for further study in mathematics or a related field.
- Develop students' critical thinking, problem-solving, and communication skills.
- Provide students with a solid foundation in mathematical concepts and principles.
- Use the language and notation of differential and integral calculus correctly and use appropriate style and format in written work.
- Recognize the roles of definitions, axioms, and theorems, and identify and construct valid deductive arguments.
Outline:
- The program consists of 28-32 units of coursework, including:
- Core Courses (20 units):
- Calculus with Analytic Geometry I (MATH 150)
- Calculus with Analytic Geometry II (MATH 160)
- Multivariable Calculus 1 (MATH 200)
- Linear Algebra 1 (MATH 210)
- Differential Equations 1 (MATH 220)
- Electives (6-10 units):
- General Chemistry I (CHEM 155)
- Introduction to Programming (CS 104)
- Theory and Practice I (CS 105)
- Theory and Practice II (CS 106)
- Computer Architecture and Organization (CS 107)
- Discrete Structures (CS 108)
- Introduction to Programming for Engineers (CS 133)
- C Programming (CS 137)
- Object-Oriented Programming Using C++ (CS 140)
- Transition to Advanced Mathematics (MATH 180)
- Mechanics Of Solids And Fluids (PHYS 121)
- Electricity and Magnetism (PHYS 122)
- Heat, Light and Modern Physics (PHYS 123)
- Students are assessed through a variety of methods, including:
- Exams
- Quizzes
- Homework assignments
- Projects
- Presentations
- The program is taught by experienced faculty who are dedicated to student success.
- The program uses a variety of teaching methods, including:
- Lectures
- Discussions
- Problem-solving sessions
- Labs
- Graduates of the program can pursue a variety of careers, including:
- Mathematician
- Statistician
- Actuary
- Software engineer
- Data analyst
- Financial analyst
- Operations research analyst
- Teacher
- Researcher
- Environmental Scientist
- Architect
- Business manager
- Nurse
- Dentist
- Computer programmer
- Electronics engineer
- Forestry manager
- Psychologist
- Photographer
Assessment:
Teaching:
Careers:
Santa Barbara City College
Overview:
Santa Barbara City College (SBCC) is a community college located in Santa Barbara, California. It offers a wide range of academic programs, including transfer degrees, certificates, and non-credit courses. SBCC is known for its diverse student body and its commitment to providing accessible and affordable education.
Services Offered:
SBCC provides a variety of services to its students, including:
Academic advising:
Students can receive personalized guidance on course selection, degree planning, and career exploration.Financial aid:
SBCC offers a variety of financial aid options to help students pay for their education.Career services:
Students can access resources to help them with job searching, resume writing, and career planning.Student support services:
SBCC provides a range of support services, such as tutoring, counseling, and disability services.Library and learning resources:
SBCC has a well-equipped library and learning center with access to books, journals, computers, and other resources.Student Life and Campus Experience:
SBCC offers a vibrant campus experience with opportunities for students to get involved in:
Student clubs and organizations:
Students can join a variety of clubs and organizations based on their interests, such as academic, cultural, and recreational groups.Athletics:
SBCC has a competitive athletics program with teams in various sports.Campus events:
SBCC hosts a variety of events throughout the year, including concerts, lectures, and performances.Key Reasons to Study There:
Affordable tuition:
SBCC offers a relatively low tuition rate compared to other colleges and universities.Transfer opportunities:
SBCC has strong transfer agreements with four-year universities, making it easy for students to continue their education after graduation.Small class sizes:
SBCC offers smaller class sizes, which allows for more personalized attention from instructors.Location:
SBCC is located in a beautiful and vibrant city with access to beaches, mountains, and cultural attractions.Academic Programs:
SBCC offers a wide range of academic programs, including:
Arts and Humanities:
Art, Communication, English, History, Music, Philosophy, Theatre ArtsBusiness and Entrepreneurship:
Business Administration, EntrepreneurshipCulture, Society, and Human Behavior:
Anthropology, Chicano Studies, Communication, Economics, Global and International Studies, History, Law and Society, Political Science, Psychology, SociologyEnglish as a Second Language, Adult High School, GED:
ESL, Adult High School Diploma, GEDHealthcare, Wellness, and Public Service:
Nursing, Dental Hygiene, Emergency Medical Services, Social WorkIndustry and Applied Technologies:
Automotive Technology, Culinary Arts, Welding, Computer ScienceNature, Numbers, and Engineering:
Biology, Chemistry, Mathematics, Physics, EngineeringOther:
SBCC is a Hispanic-Serving Institution (HSI), which means that it serves a significant population of Hispanic students. The college is committed to providing a welcoming and supportive environment for all students.