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微積分先修班
課程作業
課程進度
相關資源
微積分先修班
課程作業
課程進度
相關資源
More
課程作業
課程進度
相關資源
課程進度
08/09(日)
1.1 Functions and Their Graphs
1.2 Combining Functions; Shifting and Scaling Graphs
1.3 Trigonometric Functions
08/16(日)
2.1 Rates of Change and Tangents to Curves
2.2 Limit of a Function and Limit Laws
研討:1.1-1.3
08/23(日)
2.3 The Precise Definition of a Limit
2.4 One-Sided Limit
研討:2.1-2.2
08/30(日)
2.5 Continuity
2.6 Limits Involving Infinity; Asymptotes of Graphs
研討:2.3-2.4
09/06(日)
3.1 Tangents and the Derivative at a Point
3.2 The Derivative as a Function
3.3 Differentiation Rules
研討:2.5-2.6、Exam 1
09/13(日)
3.5 Derivatives of Trigonomietric Functions
3.6 The Chain Rule
3.7 Implicit Differentiation
研討:3.1-3.3
09/20(日)
3.9 Linearization and Differentials
4.1 Extreme Values of Functions
4.2 The Mean Value Theorem
研討:3.5-3.7
10/11(日)
4.3 Monotonic Functions and the First Derivative Test
4.4 Concavity and Curve Sketching
研討:3.9、4.1-4.2
10/18(日)
4.7 Antiderivatives
5.1 Area and Estimating with Finite Sums
5.2 Sigma Notation and Limits of Finite Sums
5.3 The Definite Integral
研討:4.3-4.4、Exam 2
10/25(日)
5.4 The Fundamental Theorem of Calculus
5.5 Indefinite Integrals and the Substitution Method
5.6 Substitution and Area Between Curves
研討:4.7、5.1-5.3
11/01(日)
6.1 Volumes Using Cross-Sections
6.2 Volumes Using Cylindrical Shells
研討:5.4-5.6
11/15(日)
6.3 Arc Length
6.4 Areas of Surfaces of Revolution
研討:6.1-6.2
11/22(日)
7.1 Inverse Functions and Their Derivatives
7.2 Natural Logarithms
7.3 Exponential Functions
研討:6.3-6.4、Exam 3
11/29(日)
7.5 Indeterminate Forms and L’Hôpital's Rule
7.6 Inverse Trigonometric Functions
研討:7.1-7.3
12/06(日)
8.1 Integration by Parts
8.2 Trigonometric Integrals
8.3 Trigonometric Substitutions
研討:7.5-7.6
12/13(日)
8.4 Integration of Rational Functions by Partial Fractions
8.7 Improper Integrals
研討:8.1-8.3
研討:8.4、8.7、Exam 4
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