Mathematics Associate in Science Degree Program

Program Overview

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Program Overview

Mathematics provides the foundation for studying engineering; the biological, physical and health sciences; economics; business; computer science; statistics; and many other fields. A major in mathematics itself opens up job opportunities in numerous fields, as mathematical problemsolving skills are widely applicable.

Career Opportunities

The Mathematics major may be used as a basis for professional careers which include accountant, actuary, appraiser, assessor, auditor, banker, biometrician, budget analyst, casualty rater, controller, computer programmer, data processing manager, demographer, econometrician, educator at all levels, engineering analyst, epidemiologist, financial analyst/planner, insurance agent/broker, loan officer, management trainee, market research analyst, mathematician, securities trader, statistician, surveyor, and systems analyst. Additional professional areas for which a degree in Mathematics prepares individuals are the aircraft and space industries, architectural and surveying services, civil service, communications, and science, including work in high technology industries such as research and development laboratories.

Program Learning Outcomes

Students completing this program will be able to:

• Synthesize ideas expressed in mathematical language by:
  • Demonstrating the ability to understand both written and spoken mathematics.
  • Demonstrating a basic understanding of proof.
  • Communicating arguments clearly.
  • Demonstrating the ability to collaborate in problem solving (i.e. study groups, group projects).
• Demonstrate analytical thinking by:
  • Identifying what a problem is really asking.
  • Breaking complex problems into manageable smaller problems.
  • Identifying the relationships among verbal, symbolic, graphical and numerical representations within the same problem.
  • Solving non-algorithmic problems.
• Demonstrate resourcefulness in problem solving by:
  • Choosing appropriate methods.
  • Synthesizing appropriate strategies, techniques or information from prerequisite courses.
  • Using alternative representations of mathematical ideas.
  • Recognizing and explaining source of errors and impossible solutions.
• Employ mathematical strategies with confidence.

Recommended High School Preparation

Four years of Mathematics

University Transfer Program

Use Assist to identify lower division major preparation for the California State University and the University of California systems. For independent or out-of-state colleges and universities use their catalogs to locate this information. Transfer Services can assist you to gather this information.

Program Requirements

Major Requirements

• Required Core Courses:
  • MATH 251: Calculus with Analytic Geometry I (5 units)
  • MATH 252: Calculus with Analytic Geometry II (5 units)
  • MATH 253: Calculus with Analytic Geometry III (5 units)
• Required Selective Courses: List A: One 3 unit course from the following:
  • MATH 270: Linear Algebra (3 units)
  • MATH 275: Ordinary Differential Equations (3 units)
• Required Selective Courses: List B: One 3-4 unit course from the following:
  • MATH 270: Linear Algebra (3 units)
  • MATH 275: Ordinary Differential Equations (3 units)
  • MATH 268: Discrete Mathematics (4 units)
  • CIS 278: (CS1) Programming Methods: C++ (4 units)
  • PHYS 250: Physics with Calculus I (4 units)

Total Required Major Units: 21 - 22

General Education Coursework and Electives

And required General Education coursework and electives as needed to meet the minimum 60 units required for the Associate degree.

Program Overview

Mathematics provides the foundation for studying engineering; the biological, physical and health sciences; economics; business; computer science; statistics; and many other fields. A major in mathematics itself opens up job opportunities in numerous fields, as mathematical problemsolving skills are widely applicable.

Program Outline

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Extracted Information from Mathematics Associate in Science Degree Program at College of San Mateo:

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Degree Overview:

• Provides the foundation for various fields including engineering, biological and physical sciences, economics, business, computer science, and statistics.
• job opportunities in numerous fields
• professional careers
• Also prepares individuals for additional professional areas in the **aircraft and space industries, architectural and surveying services, civil service, communications, and science, including research and development laboratories.

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Program Learning Outcomes:

• Synthesize ideas expressed in mathematical language by demonstrating understanding of written and spoken mathematics, basic understanding of proof, clear communication of arguments, and collaborative problem-solving skills.
• Demonstrate analytical thinking by identifying problem essence, breaking down complex problems, identifying relationships among various representations, and solving non-algorithmic problems.
• Demonstrate resourcefulness in problem-solving by choosing appropriate methods, synthesizing strategies and techniques, utilizing alternative representations, and recognizing and explaining errors and impossible solutions.
• **Employ mathematical strategies with confidence.

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Outline:

• Required Core Courses (15 units):
• MATH 251: Calculus with Analytic Geometry I (5 units)
• MATH 252: Calculus with Analytic Geometry II (5 units)
• MATH 253: Calculus with Analytic Geometry III (5 units)
• Required Selective Courses: List A (3 units):
• Choose one course from MATH 270 (Linear Algebra) or MATH 275 (Ordinary Differential Equations)
• Required Selective Courses: List B (3-4 units):
• Choose one course from MATH 270 (Linear Algebra), MATH 275 (Ordinary Differential Equations), MATH 268 (Discrete Mathematics), CIS 278 (CS1) Programming Methods: C++, or PHYS 250 (Physics with Calculus I)
• General Education coursework and electives to meet the minimum 60 units required for the Associate degree.

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Careers:

• Accountant: Analyze financial records, prepare financial statements, and advise organizations on financial matters.
• Actuary: Use mathematical and statistical methods to assess risk in insurance, finance, and other industries.
• Appraiser: Estimate the value of real estate and other assets.
• Assessor: Evaluate property for taxation purposes.
• Auditor: Examine financial records to ensure accuracy and compliance with regulations.
• Banker: Provide financial services to individuals and businesses.
• Biometrician: Apply statistical methods to biological data.
• Budget Analyst: Analyze and forecast government spending.
• Casualty Rater: Determine insurance premiums based on risk factors.
• Controller: Oversee the financial operations of an organization.
• Computer Programmer: Write and test code for computer applications.
• Data Processing Manager: Plan, direct, and coordinate computer-related activities within an organization.
• Demographer: Study population trends and characteristics.
• Econometrician: Develop and apply statistical models to economic data.
• Educator at all levels: Teach mathematics to students of all ages.
• Engineering Analyst: Solve engineering problems using mathematical methods.
• Epidemiologist: Investigate the causes and patterns of disease outbreaks.
• Financial Analyst/Planner: Provide financial advice to individuals and businesses.
• Insurance Agent/Broker: Sell insurance policies to individuals and businesses.
• Loan Officer: Evaluate loan applications and make lending decisions.
• Management Trainee: Develop the skills necessary for a management career.
• Market Research Analyst: Collect and analyze data on consumer trends.
• Mathematician: Conduct research in the field of mathematics.
• Securities Trader: Buy and sell securities on behalf of clients.
• Statistician: Collect, analyze, and interpret data.
• Surveyor: Measure and map land areas.
• Systems Analyst: Design and implement computer systems.

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Other:

• transfer to four-year institutions
• meet with a counselor
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