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Grading Scheme：70% Final Exam + 30% Class Performance Class Performance: Attendence + Discipline + Homework Text Book：You may use this book for references This is a simplified and adapted version of the course "Advanced Mathematics C2/D2" typically taught in Chinese universities for non-STEM majors

Lectures

Lecture 01：Mean Value Theorems Lecture 02：L'Hospital's Rule Lecture 03：The Taylor Expansion Lecture 04：Monotonicity, Convexity, Extrema Lecture 05：Indefinite Integrals Lecture 06：Integration Exercises Lecture 07：Integration of Rational Functions Lecture 08：Integration of Trignometric Functions Lecture 09：Definite Integrals Lecture 10：The Fundamental Theorem of Calculus Lecture 11：Improper and Singular Integrals Lecture 12：Applications

Selected Topics

Ex 1：Ordinary Differential Equations Ex 2：Linear ODE Ex 3：Second Order Liner ODE with Constant Coefficients

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