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MATH150 INTRODUCTION TO ORDINARY DIFFERENTIAL EQUATIONS

MATH150 INTRODUCTION TO ORDINARY DIFFERENTIAL EQUATIONS. Instructor: Jeffrey R. Chasnov L1: Thur 9:00-10:50 LTJ L2: Mon 16:00-17:50 LTC. TA Wang Jingjing, Ariel T1a: Fri 18:00-18:50 2464 T1b: Thur 18:00-18:50 1505. Contact Me. Wang Jingjing, Ariel Office: Rm3214/desk6

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MATH150 INTRODUCTION TO ORDINARY DIFFERENTIAL EQUATIONS

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  1. MATH150INTRODUCTION TO ORDINARY DIFFERENTIAL EQUATIONS Instructor: Jeffrey R. Chasnov L1: Thur 9:00-10:50 LTJ L2: Mon 16:00-17:50 LTC TA Wang Jingjing, Ariel T1a: Fri 18:00-18:50 2464 T1b: Thur 18:00-18:50 1505

  2. Contact Me • Wang Jingjing, Ariel • Office: Rm3214/desk6 • Office hour: Monday,Wednesday: 16:00~17:00 • Email: maariel@ust.hk • My homepage: http://ihome.ust.hk/~maariel/ • Tel: 2358-8546 or 92372504 • Whenever you have a problem, feel free to contact me !

  3. About the Course • Learn the techniques and methods to solve ordinary differential equations • Understand the applications of solving ODEs • Suggestions and Tips • DO all the homework problems (20%) • Practice through past exam papers • Ask professor or TAs whenever you have questions

  4. Introduction to ODEs • Definition A differential equation is an equation for a function that relates the values of the function to the values of its derivatives. Eg. • A differential equation whose unknown function depends on a single independent variable is called an ordinary differential equation (ODE). • A differential equation whose unknown function depends on several independent variables is called a partial differential equation (PDE). Eg. Wave equation

  5. Short Review • Differentiation • Integration* • Taylor Series Fundamental knowledge and techniques to solve ODEs

  6. Differentiation • Operation rules • Elementary functions* --- typical examples

  7. Integration* • Fundamental theorem of Calculus • Substitution • Integration by Parts let

  8. Taylor Series

  9. Thank You~

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