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Details of Class Meetings for Math 1350

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 1st Derivative Test
  • Book Section: 4.1 First Derivative and Graphs

Meeting 29

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

Meeting 30

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

Meeting 31

  • Topic: Concavity and the 2nd 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