微積分1
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第一週
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2.1
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The Tangent and Velocity Problems
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2.2
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The Limit of a Function
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2.3
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Calculating Limits Using the Limit Laws
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2.4
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The Precise Definition of a Limit (✽)
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第二週
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2.5
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Continuity
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2.6
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Limits at Infinity; Horizontal Asymptotes
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2.7
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Derivatives and Rates of Change
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2.8
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The Derivative as a Function
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第三週
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3.1
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Derivatives of Polynomials and Exponential Functions
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3.2
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The Product and Quotient Rules
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3.3
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Derivatives of Trigonometric Functions
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3.4
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The Chain Rule
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第四週
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3.5
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Implicit Differentiation
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3.6
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Derivatives of Logarithmic and Inverse Trigonometric Functions
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3.8
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Exponential Growth and Decay (Compounded Interest, and Present Value)
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3.10
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Linear Approximations and Differentials (不教 differentials)
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10/14(四) 17:30-18:20 Quiz 1 (範圍:2.1-2.8)
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第五週
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4.1
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Maximum and Minimum Values
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4.2
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The Mean Value Theorem
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4.3
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What Derivatives Tell Us about the Shape of a Graph
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第六週
11/2(二)微積分1停修截止
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4.4
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Indeterminate Forms and l’Hospital‘s Rule
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4.5
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Summary of Curve Sketching
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4.7
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Optimization Problems
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10/28(四) 17:30-18:20 Quiz 2 (範圍:3.1-3.6、3.8、3.10)
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第七週
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4.9
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Antiderivatives
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Applications: Profit Maximization and Cost Minimization
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Applications: Demand and Elasticity
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第八週
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11/11(四) 17:30-18:20 Quiz 3 (範圍:4.1-4.5、4.7)
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期考 11/13(六) 英文命題
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