991-微積分(一)-54001

報名期間：從 即日起 到 無限期
上課期間：從 2010-09-06 到 2011-01-31

• 大綱與第P章
• 1.1 A Preview of Calculus
• 1.2 Finding Limits Graphically and numerically
• 1.3 Evaluating Limits Analytically
• 1.4 Continuity and One-Sided Limits
• 1.5 Inifinite Limits
• 2.1 The Derivative and the Tangent Line Problem
• 2.2 Basic Differentiation Rules
• 2.3 Product and Quotient Rules and Higher-Order Derivatives
• 2.4 The Chain Rule
• 2.5 Implicit Differentiation
• 3.1 Extrema on an Interval
• 3.2 Rolle’s Theorem and the Mean Value Theorem
• 3.3 Increasing and Decreasing Functions and the First Derivative Test
• 3.4 Concavity and the Second Derivative Test
• 3.5 Limits at Infinity
• 3.6 A Summary of Curve Sketching
• 3.9 Differentials
• 4.1 Antiderivatives and Indefinite Integration
• 4.2 Area
• 4.3 Riemann Sums and Definite Integrals
• 4.4 The Fundamental Theorem of Calculus
• 4.5 Integration by Substitution
• 5.1 The Natural Logarithmic Function: Differentiation
• 5.2 The Natural Logarithmic Function: Integration
• 5.3 Inverse Functions
• 5.4 Exponential Functions: Differentiation and Integration
• 5.5 Bases Other Than e and Applications
• 5.6 Inverse Trigonometric Functions: Differentiation
• 5.7 Inverse Trigonometric Functions: Integration
• 5.8 Hyperbolic Functions
• 8.1 Basic Integration Rules