- Program Summary
- Undergraduate Curriculum
- Sample Undergraduate Course Schedule
- Undergraduate Curriculum - Previous Years
Program Summary
The Department of Engineering Sciences and Applied Mathematics offers course work in applied mathematics and administers an undergraduate program leading to a BS in applied mathematics and a graduate program in applied mathematics.
The applied mathematics program is intended to provide the knowledge necessary for applying mathematical ideas and techniques to the problems that arise in engineering or science. It is expected that a student receiving a BS in applied mathematics would have the background for suitable employment in industry or for graduate study in either mathematics (pure or applied) or an engineering field, including computer science and operations research. To achieve these goals, the applied mathematics program is designed to be flexible and allow the student to concentrate a substantial part of the course work either in mathematics or one or more areas of application.
Undergraduate Curriculum - Students starting in September '09
Total requirements - 48 courses
Mathematics - 4 courses
MATH 220,224,230,234
Engineering analysis and computer proficiency - 4 courses
GEN ENG 205-1,2,3,4
Basics sciences - 4 courses
PHYSICS 135-2,3; 2 courses in chemistry, biological sciences, and/or earth sciences/astronomy
Design and communications - 3 courses
Basic engineering - 5 courses
EECS 230 or EECS 231 plus 4 courses from at least 3 of the following areas: systems engineering and analysis, thermodynamics, fluids and solids, materials science, electrical science, and computer architecture and numerical methods
Social sciences/humanities - 7 courses
Unrestricted electives - 5 courses
Major program - 16 courses
- Required courses - 7 courses
- ES APPM 311-1,2 Methods of Applied Mathematics
- ES APPM 311-3 Methods of Applied Mathematics: Complex Variables or MATH 325 Complex Variables for Applications
- ES APPM 346 Modeling and Computation in Science and Engineering
- ES APPM 322 Applied Dynamical Systems
- ES APPM 421-1 Models in Applied Mathematics plus one approved modelling course
- Additional courses - 3 courses
- MATH 334 Linear Algebra: Second Course
- One course from the following probability and statistics list: IEMS 202, IEMS 303 or Math 310-1,2,3 or EECS 302
- One other course chosen either from the probability and statistics list or from IEMS 310 or IEMS 313
- Concentration area - 4 courses
- 300 level or higher leading to an approved concentration in an application area. The concentration area can be in engineering, the sciences, mathematical social sciences, e.g., economics, math, e.g., discrete math or analysis, or numerics
- Technical electives - 2 courses
- 300 level or higher in engineering, science, or mathematics
Sample Undergraduate Course Schedule
The Course schedules below give a general outline of the courses a student majoring in Applied Mathematics will take. There is a great flexibility in the specific courses that can be taken. The required core courses are marked by asterisks. Undergraduates decide their courses in cooperation with the undergraduate advisor M. Silber
Four-Year Program
First Year
| Fall Quarter | Winter Quarter | Spring Quarter |
|---|---|---|
| Mathematics 220* Differential and integral calculus |
Mathematics 224* Differential and integral calculus (cont) |
Mathematics 230* Calculus of several variables |
| General Engineering 205-1* Engineering Analysis I |
General Engineering 205-2* Engineering Analysis II |
General Engineering 205-3* Engineering Analysis III |
| Chemistry 101 General chemistry |
Chemistry 102 General inorganic chemistry |
Unrestricted Elective |
| Speech* | General Engineering 106-1* Engineering Design and Communications I |
General Engineering 106-2* Engineering Design and Communications II |
Second Year
| Fall Quarter | Winter Quarter | Spring Quarter |
|---|---|---|
| Mathematics 234* Multiple Integration and Vector Calculus |
Basic Engineering | Mathematics 334* Linear Algebra: Second Course |
| General Engineering 205-4* Engineering Analysis IV |
Basic Engineering | Basic Engineering |
| Physics 135-2* Electricity and Magnetism |
Physics 135-3* Waves and Oscillations |
Basic Engineering |
| Theme | Theme | Theme |
Third Year
| Fall Quarter | Winter Quarter | Spring Quarter |
|---|---|---|
| ESAM 311-1* Methods of Applied Mathematics |
ESAM 311-2* Methods of Applied Mathematics |
ESAM 311-3* Methods of Applied Mathematics: Complex Variables |
| Basic Engineering | ESAM 346* Modeling and Computation in Science and Engineering |
IE 303 Statistics I |
| Unrestricted Elective | IE 202 Probability |
Concentration |
| Theme | Theme | Theme |
Fourth Year
| Fall Quarter | Winter Quarter | Spring Quarter |
|---|---|---|
| ESAM 421-1* Models in Applied Mathematics |
Modelling Course |
ESAM 322* Applied Dynamical Systems |
| Concentration | Technical Elective | Unrestricted Elective |
| Theme | Concentration | Concentration |
| Technical Elective | Unrestricted Elective | Unrestricted Elective |
COOP Program
COOP Junior
| Fall Quarter | Winter Quarter | Spring Quarter |
|---|---|---|
| ESAM 311-1* Methods of Applied Mathematics |
ESAM 311-2* Methods of Applied Mathematics |
COOP |
| Basic Engineering | ESAM 346* Modeling and Computation in Science and Engineering |
COOP |
| Unrestricted Elective | IE 202 Probability |
COOP |
| Theme | Theme | COOP |
COOP Pre Senior
| Fall Quarter | Winter Quarter | Spring Quarter |
|---|---|---|
| ESAM 421-1* Models in Applied Mathematics |
COOP | ESAM 311-3* Methods of Applied Mathematics: Complex Variables |
| Concentration | COOP | Concentration |
| Theme | COOP | IE 303 Statistics I |
| Unrestricted Elective | COOP | Theme |
COOP Senior
| Fall Quarter | Winter Quarter | Spring Quarter |
|---|---|---|
| COOP | Modelling Course |
ESAM 322* Applied Dynamical Systems |
| COOP | Technical Elective | Unrestricted Elective |
| COOP | Concentration | Concentration |
| COOP | Unrestricted Elective | Unrestricted Elective |
