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Degree in Mathematics-Scientific Computation
B.S. Effective Winter 2003
This is a specialized applied mathematics program with a concentration in the development of sophisticated mathematical computer models utilized in scientific investigation. Scientific computation is a complement to traditional methods of laboratory and theoretical research which uses high performance computers to simulate natural phenomena.
All courses used to satisfy major requirements must be taken for a letter grade, and must be completed with a C- or better.
Lower Division Requirements
| 1. |
One of the following sequences: |
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a. Math 20A-B-C-D-E-F
Calculus, Linear Algebra, Differential Equations |
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b. Math 31AH-BH-CH, 20D
Honors Calculus, Linear Algebra, Differential Equations |
| 2. |
One of the following: |
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MAE 9 or
MAE 10 |
C/C++Programming
Fortran for Engineers |
| 3. |
One of the following: |
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CSE 8A/AL-B or
CSE 11 |
Intro to CS: Java
Intro to CS and Object-Oriented Programming: Java |
| 4. |
Math 15A |
Discrete Mathematics (or CSE 20) |
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Math 15B |
Mathematics for Algorithms & Systems (or CSE 21) |
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CSE 12 |
Basic Data Structures & Object-Oriented Design |
Upper Division Requirements
| 1. |
Math 109 |
Mathematical Reasoning
(students completing Math 31CH may replace Math 109 with a 4-unit Upper-division Math elective) |
| 2. |
Math 102 |
Applied Linear Algebra |
| 3. |
Math 183 |
Mathematical Programming-Numerical Optimization |
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or |
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(Math 181A &
Math 180A) |
Introduction to Mathematical Statistics
Introduction to Probability |
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Math 140A-B |
Foundations of Real Analysis |
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or |
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| 4. |
Math 142A-B |
Intro to Analysis |
| 5. |
Math 170A-B-C |
Numerical Mathematics |
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or |
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(Math 170A-B &
Math 172) |
Numerical Mathematics
Numerical Partial Differential Equations |
| 6. |
Math 171A-B |
Mathematical Programming-Numerical Optimization |
| 7. |
Math 179 |
Projects in Computational and Applied Mathematics |
| 8. |
Upper division electives chosen from the following list, combined with the above requirements, to total at least 15 four unit upper division courses: |
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Math 107A-B |
Computer Algebra |
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Math 110A-B |
Partial Differential Equations |
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Math 120A-B |
Elements of Complex Analysis |
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Math 130A-B |
Ordinary Differential Equations |
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Math 131 |
Variation Methods in Optimization |
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Math 152 |
Applicable Mathematics and Computing |
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Math 155A-B |
Computer Graphics |
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Math 170C |
Numerical Ordinary Differential Equations |
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Math 175 |
Numerical Partial Differential Equations |
| 9. |
A total of 15 four unit upper-division mathematics courses, including the required courses in items 1-7 above and the electives from list 8.
Math 195-199 cannot be counted towards the major.
To be prepared for a strong major curriculum, students should complete the last three quarters of the 20 sequence and Mathematics 109 before the end of their sophomore year. |
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