Important Terms and Concepts

Learning OutcomesIn this chapter, students will...

Chapter 2 Sections
21 Numerical Approach to the Definition of Limit
Objective: Find the limits of ƒ(x) as a approaches c if ƒ(x) is undefined.
Homework: None
Aligned Instructional Resources: Khan Academy Video On the Concept of Limits
Objective: Find the limits of ƒ(x) as a approaches c if ƒ(x) is undefined.
Homework: None
Aligned Instructional Resources: Khan Academy Video On the Concept of Limits
22 Graphical Approach to the Definition of Limit
Objective: Given a function ƒ, state whether or not ƒ(x) has a limit L as x approaches c, and if so, explain how close you must keep x to c in order for ƒ(x) to stay within a given number ε units of L
Homework: Q Problems 110, Problems 125 odd
Align Instructional Resources: Khan Academy Videos on Epsilon Delta Definition of Limits and YouTube Video on the Formal Definition of Derivative
Objective: Given a function ƒ, state whether or not ƒ(x) has a limit L as x approaches c, and if so, explain how close you must keep x to c in order for ƒ(x) to stay within a given number ε units of L
Homework: Q Problems 110, Problems 125 odd
Align Instructional Resources: Khan Academy Videos on Epsilon Delta Definition of Limits and YouTube Video on the Formal Definition of Derivative
23 The Limit Theorems
Objective: For the properties listed in the table in this section, be able to state them, use them in a proof, and explain why they are true
Homework  Day 1: Q Problems 110, Problems 113 odd
Homework  Day 2: Problems 1525 odd
Aligned Instructional Resources: YouTube Video of The Limit Theorems
Objective: For the properties listed in the table in this section, be able to state them, use them in a proof, and explain why they are true
Homework  Day 1: Q Problems 110, Problems 113 odd
Homework  Day 2: Problems 1525 odd
Aligned Instructional Resources: YouTube Video of The Limit Theorems
24 Continuity and Discontinuity
Objective: Define continuity. Learn the definition by using it in several ways
Homework  Day 1: Q Problems 110, Problems 129 odd
Homework  Day 2: Problems 3145 odd
Aligned Instructional Resources: Khan Academy Videos on Limits to Define Continuity
Objective: Define continuity. Learn the definition by using it in several ways
Homework  Day 1: Q Problems 110, Problems 129 odd
Homework  Day 2: Problems 3145 odd
Aligned Instructional Resources: Khan Academy Videos on Limits to Define Continuity
25 Limits Involving Infinity
Objective: Find limits of functions where either x becomes infinite or the limit is infinite
Homework: Q Problems 110, 113 odd, 12, 14
Aligned Instructional Resources: Khan Academy Videos on Limits and Infinity
Objective: Find limits of functions where either x becomes infinite or the limit is infinite
Homework: Q Problems 110, 113 odd, 12, 14
Aligned Instructional Resources: Khan Academy Videos on Limits and Infinity
26 The Intermediate Value Theorem and Its Consequences
Objectives: Given an equation for a continuous function
Homework  Day 1: Q Problems, 15 all
Homework  Day 2: 814 all
Aligned Instructional Resources: Khan Academy Video on the Mean Value Theorem
Objectives: Given an equation for a continuous function
Homework  Day 1: Q Problems, 15 all
Homework  Day 2: 814 all
Aligned Instructional Resources: Khan Academy Video on the Mean Value Theorem