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