The Final Grade Will Be Determined by Weekly Quizzez, One Midterm Exam and a Final Exam. the Real Numbers. Infinite Sequences of Real Numbers. Real Functions of One Variable: Limits, Continuity, Continuity on a Closed Interval, Monotonic Functions and Inverse Functions. Differentiability and the Main Theorem of the Differential Calculus. the Taylor Theorem, the L'Hopital Rule and Study of the Behavior of a Function. the Antiderivative and Methods of Integration. the Definite Integral and Its Properties. Integrable Functions. the Principle Theorems of the Integral Calculus. Improper Integrals. Series of Numbers, Sequences of Functions, Series of Functions and Power Series. in the Course There Is a Greater Emphasis on Theory and Applications Than in 104003.