51社区

Books Sections refer to the textbook for the course.

Meeting 1

• Topic: Graphical Approach to Limits
• Book Section: 2.1 Introduction to Limits

Meeting 2

• Topic: Analytical Approach to Limits
• Book Section: 2.1 Introduction to Limits

Meeting 3

• Topic: Infinite Limits and Vertical Asymptotes
• Book Section: 2.2 Infinite Limits and Limits at Infinity

Meeting 4

• Topic: Infinite Limits and Vertical Asymptotes
• Book Section: 2.2 Infinite Limits and Limits at Infinity

Meeting 5

• Topic: Limits at Infinity and Horizontal Aysmptotes
• Book Section: 2.2 Infinite Limits and Limits at Infinity

Meeting 6

• Topic: Introduction to Continuity
• Book Section: 2.3 Continuity

Meeting 7

• Topic: Determining the Sign of a Function on an Interval
• Book Section: 2.3 Continuity

Meeting 8

• Topic: Rates of Change
• Book Section: 2.4 The Derivative

Meeting 9

• Topic: Introduction to the Derivative
• Book Section: 2.4 The Derivative

Meeting 10

• Topic: Computing Derivatives
• Book Section: 2.4 The Derivative

Meeting 11

• Topic: Constant Function Rule; Power Rule
• Book Section: 2.5 Basic Differentiation Properties

Meeting 12

• Topic: Sum Rule; Constant Multiple Rule
• Book Section: 2.5 Basic Differentiation Properties

Meeting 13

• Topic: Marginal Anaylsis
• Book Section: 2.7 Marginal Analysis in Business and Economics

Meeting 14

• Topic: Marginal Anaylsis
• Book Section: 2.7 Marginal Analysis in Business and Economics

Meeting 15

>>> In-Class Exam 1 on Chapter 2 <<<

Meeting 16

• Topic: Simple Interest; Periodically Compounded Interest; the Constant e
• Book Section: 3.1 The Constant e and Continuously Compounded Interest

Meeting 17

• Topic: Continuously Compounded Interest
• Book Section: 3.1 The Constant e and Continuously Compounded Interest

Meeting 18

• Topic: Derivatives of Exponential Functions
• Book Section: 3.2 Derivatives of Exponential and Logarithmic Functions

Meeting 19

• Topic: Derivatives of Logarithmic Functions
• Book Section: 3.2 Derivatives of Exponential and Logarithmic Functions

Meeting 20

• Topic: Derivatives of Products
• Book Section: 3.3 Derivatives of Products and Quotients

Meeting 21

• Topic: Derivatives of Quotients
• Book Section: 3.3 Derivatives of Products and Quotients

Meeting 22

• Topic: Derivatives of Quotients
• Book Section: 3.3 Derivatives of Products and Quotients

Meeting 23

• Topic: Chain Rule Applied to Nested Functions with a Power Function as the Outer Function
• Book Section: 3.4 The Chain Rule

Meeting 24

• Topic: Chain Rule Applied to General Nested Functions
• Book Section: 3.4 The Chain Rule

Meeting 25

• Topic: Rate of Change Problems
• Book Section: Concepts from Book Sections 2.5, 3.2, 3.3, 3.4

Meeting 26

>>> In-Class Exam 2 on Chapter 3 <<<

Meeting 27

• Topic: Horizontal Tangent Lines; Increasing & Decreasing Functions
• Book Section: 4.1 First Derivative and Graphs

Meeting 28

• Topic: Local Extrema and the 1^st Derivative Test
• Book Section: 4.1 First Derivative and Graphs

Meeting 29

• Topic: More Examples Involving the 1^st Derivative Test
• Book Section: 4.1 First Derivative and Graphs

Meeting 30

• Topic: Concavity and the 1^st Derivative
• Book Section: 4.2 Second Derivative and Graphs

Meeting 31

• Topic: Concavity and the 2^nd Derivative
• Book Section: 4.2 Second Derivative and Graphs

Meeting 32

• Topic: Curve Sketching
• Book Section: 4.2 Second Derivative and Graphs

Meeting 33

• Topic: Absolute Max and Min; Finding Absolute Max and Min Using Closed Interval Method
• Book Section: 4.5 Absolute Maxima and Minima

Meeting 34

• Topic: Finding Absolute Max and Min on Open Interval; Second Derivative Test
• Book Section: 4.5 Absolute Maxima and Minima

Meeting 35

• Topic: Single Variable Optimization: Maximizing Revenue and Profit
• Book Section: 4.6 Optimization

Meeting 36

• Topic: Two Variable Abstract Optimization Problems
• Book Section: 4.6 Optimization

Meeting 37

• Topic: Two Variable Applied Optimization Problems Involving Fences
• Book Section: 4.6 Optimization

Meeting 38

>>> In-Class Exam 3 on Chapter 4 <<<

Meeting 39

• Topic: Antiderivatives
• Book Section: 5.1 Antiderivatives and Indefinite Integrals

Meeting 40

• Topic: Indefinite Integrals
• Book Section: 5.1 Antiderivatives and Indefinite Integrals

Meeting 41

• Topic: Indefinite Integrals
• Book Section: 5.1 Antiderivatives and Indefinite Integrals

Meeting 42

• Topic: Introduction to the Substitution Method and Basic Substitution Integrals
• Book Section: 5.2 Integration by Substitution

Meeting 43

• Topic: Harder Substitution Integrals
• Book Section: 5.2 Integration by Substitution

Meeting 44

• Topic: Application of Substitution Integrals
• Book Section: 5.2 Integration by Substitution

Meeting 45

• Topic: Approximating Areas by Left and Right Sums
• Book Section: 5.4 The Definite Integral

Meeting 46

• Topic: The Definite Integral as a Limit of Sums
• Book Section: 5.4 The Definite Integral

Meeting 47

• Topic: The Fundamental Theorem of Calculus
• Book Section: 5.5 The Fundamental Theorem of Calculus

Meeting 48

• Topic: The Fundamental Theorem of Calculus Applied to Total Change Problems
• Book Section: 5.5 The Fundamental Theorem of Calculus

Meeting 49

• Topic: The Average Value of a Function Over an Interval
• Book Section: 5.5 The Fundamental Theorem of Calculus

Meeting 50

>>> In-Class Exam 4 on Chapter 5 <<<

Meeting 51

• Topic: The Area Between a Curve and the x-axis; The Area Between Two Curves;
• Book Section: 6.1 Area Between Curves

Meeting 52

• Topic: Applications of the Area Between Two Curves
• Book Section: 6.1 Area Between Curves

Meeting 53

• Topic: Total Income and Future Value for a Continuous Income Stream
• Book Section: 6.2 Applications of the Area Between Curves in Business and Economics

Meeting 54

• Topic: Consumers' Surplus; Producers' Surplus
• Book Section: 6.2 Applications of the Area Between Curves in Business and Economics

Meeting 55

• Topic: Equilibrium Price
• Book Section: 6.2 Applications of the Area Between Curves in Business and Economics