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Basic Concepts For Partial Equations (pdes) and Associated Conditions. Solving Pdes of First-order, The Cauchy Problem, And The Method of Characteristic. Classification of Second-order Pdes, And Canonical Forms. Well-posedness. The One-dimensional Wave Equation, D'alambert's Method. Trigonometric Fourier Series, Fourier Transform Applications to Odes and Pdes, The Method Of Separation of Variables and Sturm-liouville Problem. The Heat And Wave Equations On a Finite Interval. The Laplace and Poisson Equation. The Maximum Principle and Properties of Harmonic Functions.

Faculty: Mathematics
|Undergraduate Studies

Pre-required courses

(104004 - Differential and Integral Calculus 2 and 104131 - Ordinary Differential Equations/h) or (104004 - Differential and Integral Calculus 2 and 104135 - Ordinary Differential Equations/t) or (104004 - Differential and Integral Calculus 2 and 104285 - Ordinary Differential Equations) or (104013 - Differential and Integral Calculus 2t and 104135 - Ordinary Differential Equations/t) or (104013 - Differential and Integral Calculus 2t and 104285 - Ordinary Differential Equations) or (104022 - Differential and Integral Calculus 2m and 104131 - Ordinary Differential Equations/h) or (104043 - Differential and Integral Calculus 2m1 and 104131 - Ordinary Differential Equations/h) or (104044 - Differential and Integral Calculus 2m2 and 104131 - Ordinary Differential Equations/h)

Course with no extra credit

104218 - Partial Differential Equations/h

Course with no extra credit (contains)

104030 - Int.to Partial Differential Equations 104220 - Partial Differential Equations/t 104223 - Partial Differen.equa.and Fourier Series

• A first course in partial differential equations with complex variables and transform methods / H.F. Weinberger. - Weinberger, Hans F.
• A first course in partial differential equations with complex variables and transform methods. - Weinberger, Hans F.
• Elementary differential equations - Boyce, William E.
• Elementary differential equations and boundary value problems - Boyce, William E.
• Elementary differential equations and boundary value problems, eighth edition, William E. Boyce, Richard C. DiPrima : student solutions manual - Haines, Charles W.
• Elementary partial differential equations - Berg, Paul W.
• Fourier series and boundary value problems - Brown, James Ward
• Fourier series and boundary value problems - Brown, James Ward
• Fourier series and boundary value problems - Churchill, Ruel V.
• Fourier series and boundary value problems. - Churchill, Ruel V.
• Fourier series and integral transforms - Pinkus, Allan,
• Partial differential equations : an introduction - Young, Eutiquio C.
• Student solutions manual to accompany elementary differential equations, 6th ed. and elementary differential equations and boundary value problems, 6th ed., William E. Boyce, Richard C. Diprima - Haines, Charles W.
• טורי פוריה והתמרות אינטגרליות - זעפרני, סמי
• מבוא למשואות דיפרנציאליות רגילות - אליאש, אורי
• מבוא למשוואות דיפרנציאליות חלקיות - פינצ'ובר, יהודה
• מבוא למשוואות דיפרנציאליות חלקיות - פינצ'ובר, יהודה