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Requirements for the Applied Mathematical Sciences Major at UCM

In addition to adhering to the UC Merced and School of Natural Sciences requirements, the additional requirements that must be met to obtain the B.S. degree in the Applied Mathematical Sciences at UC Merced are:

Applied Mathematical Sciences Requirements (62-64 units)

The Applied Mathematical Sciences major consists of 16 courses (5 or 6 lower division and 10 or 11 upper division, depending on the emphasis track chosen) designed to give all students a common foundation of core knowledge specific to the discipline, plus breadth in an application area.

Lower division courses (20 units)

  • Contemporary Biology (BIS 1), Introduction to Earth Systems Science (ESS 1) or Introduction to Biological Earth Systems (ESS 5) [4 units]
  • Calculus II (MATH 22) [4 units]
  • Vector Calculus (MATH 23) [4 units]
  • Linear Algebra and Differential Equations (MATH 24) [4 units]
  • Physics II (PHYS 9) [4 units]
Upper division courses (24 units)
  • Applied Math Methods I (MATH 121) [4 units]
  • Applied Math Methods II (MATH 122) [4 units]
  • Numerical Analysis I (MATH 131) [4 units]
  • Numerical Analysis II (MATH 132) [4 units]
  • Linear Analysis I (MATH 141) [4 units]
  • Linear Analysis II (MATH 142) [4 units]
Emphasis Tracks (18 - 20 units)
The student must complete at least 17 units of approved course work from other programs toward the completion of an emphasis track. At least 10 of these 17 units must be upper division courses. Some examples of emphasis tracks include physics, computational biology, economics, computer science and engineering, and engineering mechanics. These examples appear in the sample course plans below. More application themes will become available as new programs on campus develop.

Additional requirements for Physics Emphasis Track

  • Introductory Physics III (PHYS 10) [4 units]
  • Analytical Mechanics (PHYS 105) [4 units]
  • Electromagnetics I (PHYS 110) [4 units]
  • Electromagnetics II (PHYS 111) [4 units]
  • Quantum Mechanics I (PHYS 136) [4 units]
Additional requirements for Computational Biology Emphasis Track
  • Contemporary Biology (BIS 1) [4 units]
  • Principles of Organic Chemistry (CHEM 8) [4 units]
  • Molecular Machinery of Life (BIS 100) [4 units]
  • The Cell (BIS 110) [4 units]
  • Introduction to Scientific Modeling (BIS 180) [4 units]
Additional requirements for Economics Emphasis Track
  • Introduction to Economics (ECON 1) [4 units]
  • History of Economic Thought (ECON 11)[4 units]
  • Intermediate Microeconomic Theory (ECON 100)[4 units]
  • Intermediate Macroeconomic Theory (ECON 101)[4 units]
  • Econometrics (ECON 130) [4 units]
Additional requirements for Computer Science & Engineering Emphasis Track
  • Introduction to Computer Science and Engineering I (CSE 30) [4 units]
  • Introduction to Computer Science and Engineering II (CSE 31) [4 units]
  • Algorithm Design and Analysis (CSE 100) [4 units]
  • Database Systems (CSE 111) [4 units]
  • Networking (CSE 160) [4 units]
Additional requirements for Engineering Mechanics Emphasis Track
  • Dynamics (ENGR 57) [3 units]
  • Fluid Mechanics (ENGR 120) [4 units]
  • Finite Element Analysis (ME 135) [3 units]
  • Vibrations and Controls (ME 140) or Analytic Mechanics (PHYS 105) [3 units]
  • Strength of Materials (ENGR 151) [4 units]