Sequences and Series of Functions, Pointwise Convergence and Uniform Convergence, Term-by-term Integration and Differentiation, Domain Of Convergence of a Power Series, Development in Power Series of A Function. Ode# Introduction, Examples and Applications of Ode. First Order Equations# Linear Equations, Separable Equations, Ad-hoc Methods, Direction Field, Existence and Uniqueness Theorem For An Initial Value Problem, Stability. Linear Equations of Order Two Or More# Basis, Wronskian, Equations With Constant Coefficients, Stability, Inhomogeneous Equations# Comparison of Coefficients, Variation of Parameters. Systems of Differential Equations With Initial Conditions, Systems With Constant Coefficients. Foundations Of The Qualitative Theory# Stability, Phase Plane. Solution Via Power Series. Sturm-liouville Theory# Properties of The Eigenvalues And The Eigenfunctions.

Faculty: Mathematics
|Undergraduate Studies

Pre-required courses

(104016 - Algebra 1/extended and 104042 - Differential and Integral Calculus 1m2) or (104016 - Algebra 1/extended and 104036 - Differential and Integral Calculus 1t) or (104016 - Algebra 1/extended and 104018 - Differential and Integral Calculus 1m) or (104016 - Algebra 1/extended and 104031 - Calculus 1m) or (104016 - Algebra 1/extended and 104041 - Differential and Integral Calculus 1m1)


Parallel course

104013 - Differential and Integral Calculus 2t


Course with no extra credit

104035 - Ordinary Dif.equations and Calculus 2h 104285 - Ordinary Differential Equations A


Course with no extra credit (contained)

104131 - Ordinary Differential Equations/h 104135 - Ordinary Differential Equations/t


Semestrial Information