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MATH283-W09-syllabus

Course: MATH 283, Winter 2009
School: Wilfrid Laurier
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OF FACULTY SCIENCE Department of Mathematics and Statistics MATHEMATICS 283 &quot;HONOURS CALCULUS II&quot; Calendar Description: H(3-1T-1) Methods of integration, improper integrals. Sequence and series, Taylor series, functions defined by series. Ordinary differential equations. Partial derivatives. Prerequisite: Mathematics 281 or a grade of B+ or better in Mathematics 249 or 251 or Applied Mathematics...

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OF FACULTY SCIENCE Department of Mathematics and Statistics MATHEMATICS 283 "HONOURS CALCULUS II" Calendar Description: H(3-1T-1) Methods of integration, improper integrals. Sequence and series, Taylor series, functions defined by series. Ordinary differential equations. Partial derivatives. Prerequisite: Mathematics 281 or a grade of B+ or better in Mathematics 249 or 251 or Applied Mathematics 217 or equivalent. Syllabus Topics Methods of integration: Integration by parts including reduction formulas, Trigonometric integrals, Inverse trigonometric substitutions, Partial fractions. Improper integrals Applications to length of curves, area, and volume Sequences and convergence: Cauchy Monotone sequences, Convergence Theorem. Completeness Infinite sequences and series: Convergence and convergence tests. Absolute and conditional convergence Power series, Taylor Series and functions defined by series Ordinary differential equations: Solution. Initial value problems, Integration curves Separable equations, First-order homogeneous equations, Exact equations, Integrating factors, First-order linear eq...

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