SEMESTER I	SEMESTER II
i. Applied Functional Analysis (C)	i. High-Performance Computing (C)
ii. Numerical Analysis I - Linear Algebra (C)	ii. Numerical Analysis II – ODEs & PDEs (C)
iii. ODEs (C)	iii. PDEs (C)
iv. IAM Seminar	iv. IAM Seminar
SEMESTER III	SEMESTER IV
i. Science & Engr Specialization Course (C)	i. Technical (Math) Elective (E)
ii. Mathematical Methods I (C)	ii. Science & Engr Specialization Course (C)
iii. Technical (Math) Elective (E)	iii. Technical (Science/Engr) Elective (E)
iv. IAM Seminar	iv. IAM Seminar

Student Choosing Scientific Area A: Nonlinear Dynamics

SEMESTER I	SEMESTER II
i. Applied Functional Analysis (C)	i. High-Performance Computing (C)
ii. Numerical Analysis I - Linear Algebra (C)	ii. Numerical Analysis II – ODEs & PDEs (C)
iii. ODEs (C)	iii. PDEs (C)
iv. IAM Seminar	iv. IAM Seminar
SEMESTER III	SEMESTER IV
i. Nonlinear Dynamics & Chaos (C)	i. Asymptotic Methods (E)
ii. Mathematical Methods I (C)	ii. Hamiltonian Dynamics (C)
iii. Computational PDEs or Spectral Methods (E)	iii. Nonlinear Control Theory (E)
iv. IAM Seminar	iv. IAM Seminar

Incoming Engineering or Physics Student

SEMESTER I	SEMESTER II
i. Science & Engr Specialization Course (C)	i. Science & Engr Specialization Course (C) or High-Performance Computing (C)
ii. Numerical Analysis I - Linear Algebra (C)	ii. Numerical Analysis II – ODEs & PDEs (C)
iii. ODEs (C)	iii. PDEs (C)
iv. IAM Seminar	iv. IAM Seminar
SEMESTER III	SEMESTER IV
i. Science & Engr Specialization Course (C) or High-Performance Computing (C)	i. Technical (Math) Elective (E)
ii. Mathematical Methods I (C)	ii. Technical (Math) Elective (E)
iii. Applied Functional Analysis	iii. Technical (Science/Engr) Elective (E)
iv. IAM Seminar	iv. IAM Seminar

Incoming Engineering student choosing Scientific Area B: Fluid Dynamics

SEMESTER I	SEMESTER II
i. Intermediate Fluid Dynamics (C)	i. Incompressible Flow (C)
ii. Numerical Analysis I - Linear Algebra (C)	ii. Hamiltonian Dynamics (C)
iii. ODEs (C)	iii. PDEs (C)
iv. IAM Seminar	iv. IAM Seminar
SEMESTER III	SEMESTER IV
i. Waves in Fluids (E)	i. Asymptotic Methods (E)
ii. High-Performance Computing (C)	ii. Numerical Analysis II – ODEs & PDEs (C)
iii. Mathematical Methods I (C)	iii. Applied Functional Analysis (C)
iv. IAM Seminar	iv. IAM Seminar