## MATH 53: Ordinary Differential Equations with Linear Algebra

Ordinary differential equations and initial value problems, systems of linear differential equations with constant coefficients, applications of second-order equations to oscillations, matrix exponentials, Laplace transforms, stability of non-linear systems and phase plane analysis, numerical methods. Prerequisite: 51 and 42 or equivalents.

Terms: Aut, Win, Spr
| Units: 5
| UG Reqs: GER:DB-Math, WAY-FR

Instructors:
Cheng, D. (PI)
;
Dozier, B. (PI)
;
Mantoulidis, C. (PI)
...
more instructors for MATH 53 »

Instructors:
Cheng, D. (PI)
;
Dozier, B. (PI)
;
Mantoulidis, C. (PI)
;
Poulson, J. (PI)
;
Savvas, M. (PI)
;
Wieczorek, W. (PI)
;
Ying, L. (PI)
;
Greer, F. (TA)
;
Pan, D. (TA)

## MATH 53H: Honors Multivariable Mathematics

Continuation of 52H. Prerequisite: 52H.

Terms: Spr
| Units: 5
| UG Reqs: GER:DB-Math, WAY-FR

Instructors:
Eliashberg, Y. (PI)
;
Lazarev, O. (TA)

## ME 161: Dynamic Systems, Vibrations and Control (ME 261)

(Graduate students only enroll in 261.) Modeling, analysis, and measurement of mechanical and electromechanical systems. Numerical and closed form solutions of ordinary differential equations governing the behavior of single and multiple degree of freedom systems. Stability, resonance, amplification and attenuation, and control system design. Demonstrations and laboratory experiments. Prerequisite: Calculus (differentiation and integration), ordinary differential equations (e.g.,
CME 102 or
MATH53), basic linear algebra (determinants and solving linear equations), and familiarity with basic dynamics (F=m*a) and electronics (v=i*R). ME undergraduates must enroll for 4 units with lab. All others should enroll for 3 units without lab.

Terms: Aut
| Units: 3-4
| UG Reqs: GER:DB-EngrAppSci

Instructors:
Mitiguy, P. (PI)
;
Choi, I. (TA)
;
Juarez Navar, J. (TA)
...
more instructors for ME 161 »

Instructors:
Mitiguy, P. (PI)
;
Choi, I. (TA)
;
Juarez Navar, J. (TA)
;
Peiros, L. (TA)
;
Pete, A. (TA)
;
Ploch, C. (TA)
;
Shi, L. (TA)

## ME 261: Dynamic Systems, Vibrations and Control (ME 161)

(Graduate students only enroll in 261.) Modeling, analysis, and measurement of mechanical and electromechanical systems. Numerical and closed form solutions of ordinary differential equations governing the behavior of single and multiple degree of freedom systems. Stability, resonance, amplification and attenuation, and control system design. Demonstrations and laboratory experiments. Prerequisite: Calculus (differentiation and integration), ordinary differential equations (e.g.,
CME 102 or
MATH53), basic linear algebra (determinants and solving linear equations), and familiarity with basic dynamics (F=m*a) and electronics (v=i*R). ME undergraduates must enroll for 4 units with lab. All others should enroll for 3 units without lab.

Terms: Aut
| Units: 3-4

Instructors:
Mitiguy, P. (PI)
;
Choi, I. (TA)
;
Juarez Navar, J. (TA)
...
more instructors for ME 261 »

Instructors:
Mitiguy, P. (PI)
;
Choi, I. (TA)
;
Juarez Navar, J. (TA)
;
Peiros, L. (TA)
;
Pete, A. (TA)
;
Ploch, C. (TA)
;
Shi, L. (TA)

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