Calculus
Limits and continuity
- About the course
- Defining limits and using limit notation
- Estimating limit values from graphs
- Estimating limit values from tables
- Determining limits using algebraic properties of limits: limit properties
- Determining limits using algebraic properties of limits: direct substitution
- Determining limits using algebraic manipulation
- Selecting procedures for determining limits
- Determining limits using the squeeze theorem
- Exploring types of discontinuities
- Defining continuity at a point
- Confirming continuity over an interval
- Removing discontinuities
- Connecting infinite limits and vertical asymptotes
- Connecting limits at infinity and horizontal asymptotes
- Working with the intermediate value theorem
Register for a session to review this topic with a small group of learners.
Lc
Calculus · series session
Limits and continuity
Introducing Calculus: Can Change Occur at an Instant?
Interpret the rate of change at an instant in terms of average rates of change over intervals containing that instant.
GL
JL
Jeremy L
0
8/30
Lc
Calculus · series session
Limits and continuity
Defining Limits and Using Limit Notation
Represent limits analytically using correct notation.
GL
JL
Jeremy L
0
8/30
Lc
Calculus · series session
Limits and continuity
Defining Limits and Using Limit Notation
Interpret limits expressedin analytic notation.
GL
JL
Jeremy L
0
8/30
Lc
Calculus · series session
Limits and continuity
Estimating Limit Values from Graphs
Estimate limtis of functions given their graphs.
GL
JL
Jeremy L
0
8/30
Lc
Calculus · series session
Limits and continuity
Estimating Limit Values from Tables
Estimatelimits of functions given their tables.
GL
JL
Jeremy L
0
8/30
Lc
Calculus · series session
Limits and continuity
Determining Limits Using Algebraic Properties of Limits
Determine the limits of functions using limit theorems.
GL
JL
Jeremy L
0
8/30
Lc
Calculus · series session
Limits and continuity
Determining Limits Using Algebraic Manipulation
Determine the limits of functions using equivalent expressions for the functions.
GL
JL
Jeremy L
0
8/30
Lc
Calculus · series session
Limits and continuity
Selecting Procedures for Determining Limits
Practise applying all skills relating to determining limits.
GL
JL
Jeremy L
0
8/30
Lc
Calculus · series session
Limits and continuity
Determining Limits Using the Squeeze Theorem
Determine the limits of functions using the squeeze theorem.
GL
JL
Jeremy L
0
8/30
Lc
Calculus · series session
Limits and continuity
Connecting Multiple Representations of Limits
Practise applying all skills relating to limits and translating mathematical information from a single representation or across multiple representations.
GL
JL
Jeremy L
0
8/30
Lc
Calculus · series session
Limits and continuity
Exploring Types of Discontinuities
Reason with definitions about continuity
GL
JL
Jeremy L
0
8/30
Lc
Calculus · series session
Limits and continuity
Defining Continuity at a Point
Justify conclusions about continuity at a point using the definition.
GL
JL
Jeremy L
0
8/30
Lc
Calculus · series session
Limits and continuity
Confirming Continuity over an Interval
Determine intervals over which a function is continuous.
GL
JL
Jeremy L
0
8/30
Lc
Calculus · series session
Limits and continuity
Removing Discontinuities
Determine values of x or solve for parameters that make discontinuous function continuous, if possible.
GL
JL
Jeremy L
0
8/30
Lc
Calculus · series session
Limits and continuity
Connecting Infinite Limits and Vertical Asymptotes
Interpret the behaviour of functions using infinite limits.
GL
JL
Jeremy L
0
8/30
Lc
Calculus · series session
Limits and continuity
Connecting Limits at Infinity and Horizontal Asymptotes
Interpret the behaviour of functions using limits at infinity.
GL
JL
Jeremy L
0
8/30
Lc
Calculus · series session
Limits and continuity
Working with the Intermediate Value Theorem (IVT)
Expalin the behaviour of a function on an interval using the Intermediate Value Theorem.
GL
JL
Jeremy L
0
8/30