Injective (One to One) Functions Example (video)

CALC 1000 (Calculus 1) Videos

1.1a - Function Notation & Lines with Hole (Review)

Function Notation Example 1 (video)
Function Notation Example 2 (video)
Line vs Line with Hole (video)
Tricky Function Notation Problem (video)

1.1b - Difference Quotient Algebra (Review)

Difference Quotient Algebra Example 1 (video)
Difference Quotient Algebra Example 2 (video)

1.1c - Domain and Range (Review)

Finding Domain and Range from Complex Graph Example 1 (video)
Finding Domain and Range from Complex Graph Example 2 (video)
Finding Domain from Complex Functions Example 1 (video)
Finding Domain from Complex Functions Example 2 (video)
Finding Domain from Complex Functions Example 3 (video)
Finding Domain from Complex Functions Example 4 (video)
Finding Domain from Complex Functions Example 5 (video)

1.1d - Creating Functions from Word Problems (Review)

Domain and Range Word Problem 1 (video)
Domain and Range Word Problem 2 (video)
Creating Polynomial Equation given x-intercepts Example 1 (video)
Creating Polynomial Equation given x-intercepts Example 2 (video)
Creating Polynomial Equation given x-intercepts Example 3 (video)
Volume of Box Example 1 (video)
Volume of Box Example 2 (video)

1.1e - Absolute Value (Review)

Absolute Value Function Overview (video)
Advanced Absolute Value Function 1 (video)
Advanced Absolute Value Function 2 (video)
Advanced Absolute Value Function 3 (video)
Advanced Absolute Value Function 4 (video)

1.1f - Piecewise Functions (Review)

Graphing Piecewise Function Example 1 (video)
Graphing Piecewise Function Example 2 (video)
Piecewise Function Word Problem Example 1 (video)
Piecewise Function Word Problem Example 2 (video)

1.1g - Symmetry (Review)

Symmetry Overview (video) (6:07)
Symmetry Example 1 (video)
Symmetry Example 2 (video)
Symmetry Example 3 (video)
Symmetry Example 4 (video)
Symmetry Example 5 (video)
Symmetry Example 6 (video)
Symmetry Example 7 (video)
Assignment Question 1 (video)

1.3 - Combinations of Functions (Review)

Combinations of Functions & Domain Example 1 (video)
Combinations of Functions & Domain Example 2 (video)
Composite Functions & Domain Example 1 (video)
Composite Functions & Domain Example 2 (video)
Composite Functions Example 3 (video)
Composite Functions Example 4 (video)
Composite Functions Example 5 (video)
Composite Functions from Graphs Example (video)
Combinations of Functions vs Symmetry Example (video)

3.1 - Derivatives Of Polynomial Functions (Review)

The Power Rule for Derivatives Overview (video)
The Power Rule for Derivatives Example 1 (video)
The Power Rule for Derivatives Example 2 (video)
Proving Tangents are Perpendicular (video)
Equation of Tangent using Power Rule (video)
Where is a Tangent parallel to a Line? (video)
TOUGH! Equation of a Tangent through Coordinate (video)
Create Function given Tangent Slope (video)
Complex Derivative Question (video)
Find Constants in Function using Power Rule (video)
Same Tangent with Multiple Points Example (video)
WebWork Question 1 (video)

3.2 - Product and Quotient Rule for Derivatives (Review)

Product Rule of Derivatives Overview (video)
The Quotient Rule for Derivatives (video)
Proving Tangent is always Positive using Quotient Rule (video)
Finding the Equation of a Tangent using Product Rule (video)
Finding Horizontal Tangents using Product Rule (video)
Find Constants given Horizontal Tangent using Quotient Rule (video)
Product Rule of Derivatives Example (video)
Conditions on Constants for Tangent to be Positive (video)
Finding Tangent that is Horizontal and Parallel to Line (video)
When are Tangent Slopes Equal using Quotient Rule (video)
Where is the Tangent Perpendicular using Quotient Rule (video)
TOUGH Derivative Example (video)

Appendix D (Trigonometry) - Part 1 of VIP Package A - $40 for Full Package A

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1.4 - Exponential Functions

Simplifying Exponential Expressions Part 1 (video)
Simplifying Exponential Expressions Part 2 (video)
Simplifying Exponential Expressions Part 3 (video)
Simplifying Exponential Expressions Part 4 (video)
Simplifying Exponential Expressions Part 5 (video)
Simplify with Variables in Exponents (video)
Graphing Exponential Functions Part 1 (video)
Graphing Exponential Functions Part 2 (video)
Graphing Exponential Functions Part 3 (video)
Graphing Exponential Functions Part 4 (video)
Creating Exponential Equation given Graph (video)
Assignment Question 1 (video)

1.5a - Inverse and One to One Functions

Inverse of a Function Overview (video)
Inverse of a Function Example 1 (video)
Inverse of a Function Example 2 (video)
Inverse of a Function Example 3 (video)
Inverse of a Function Example 4 (video)
Inverse of a Function Example 5 (video)
Inverse of a Function Example 6 (video)
Injective (One to One) Functions Overview (video)
Injective (One to One) Functions Example (video)
Inverse Function vs Inverse of a Function (video)
Finding Inverse for Functions Example (video)
Find Inverse of a Function Formula Part 1 (video)
Find Inverse of a Function Formula Part 2 (video)
Super Tough Inverse Question (video)
Assignment Question 1 (video)

1.5b - Logarithms (Part 2 of VIP Package A) - $40 for Full Package A

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1.5c - Inverse Trig Functions (Part 3 of VIP Package A) - $40 for Full Package A

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2.2a - The Limit Of A Function

Limit of a Function Overview (video)
Limit of a Function Example 1 (video)
Limit of a Function Example 2 (video)
Limit of a Function Example 3 (video)
Limit of a Function Example 4 (video)
Limit of a Function Example 5 (video)
Drawing a Function given Limits (written)

2.2b - Infinite Limits

Infinite Limits Overview (video)
Infinite Limits Example 1 (video)
Infinite Limits Example 2 (video)
Infinite Limits Example 3 (video)
Infinite Limits Example 4 (video)
Infinite Limits Example 5 (video)
Infinite Limits Example 6 (video)

2.3a - Limit Laws

Properties of Limits Overview (video)
Properties of Limits Example 1 (video)
Properties of Limits Example 2 (video)
Solving Limits - Direct Substitution (video)
Solving Limits - Factoring (video)
Solving Limits - Factoring Example 1 (video)
Solving Limits - Factoring Example 2 (video)
Solving Limits - Factoring Example 3 (video)
Solving Limits - Factoring Example 4 (video)
Solving Limits - Rationalizing (video)
Solving Limits - Rationalization Example 1 (video)
Solving Limits - Algebraic Manipulation Example 1 (video)
Solving Limits - Algebraic Manipulation Example 2 (video)
Solving Limits - Change of Variable Overview (video)
Solving Limits - Change of Variable Example 1 (video)
Solving Limits - Change of Variable Example 2 (video)
Solving Limits - Change of Variable Example 3 (video)
Solving Limits - Change of Variable Example 4 (video)
Solving Limits - Change of Variable Example 5 (video) (4:31)
Solving Limits - Change of Variable Example 6 (video)
Solving Limits - Rationalization vs Change of Variable (video)
Solving Limits - One Sided Limits Overview (video)
Solving Limits - One Sided Limits Example 1 (video)
Solving Limits - One Sided Limits Example 2 (video)
Solving Limits - One Sided Limits Example 3 (video)
Solving Limits - One Sided Limits Example 4 (video)
Solving Limits - One Sided Limits Example 5 (video)
Solving Limits - One Sided Limits Example 6 (video)
Student Sent Unique Limit Questions (written)
Rationalization + Factoring Limit (video)
Different Methods for the Same Limit (video)
Assignment Question 1 (video)
Assignment Question 2 (video)
Assignment Question 3 (video)
Assignment Question 4 (video)
Assignment Question 5 (video)

2.3b - Limits Worksheet

Questions (pdf)
Written Solutions (pdf)

2.3c - Squeeze Theorem

Squeeze Theorem Overview (video)
Squeeze Theorem Example (video)

2.5a - Continuity

Continuity Conditions and Overview (video)
Continuity Example 1 (video)
Continuity Example 2 (video)
Types of Discontinuity (video)
Find Constant so Piecewise Function Limit Exists (video)
Find Where Function is Discontinuous from Graph (video)
Explain in Detail Why Function is Continuous (video)
Explain in Detail Why Function is Discontinuous (video)
Continuity Definition Example Part 1 (video)
Continuity Definition Example Part 2 (video)
Continuity Definition Example Part 3 (video)
Properties of Limits and Continuity Example (video)
Assignment Question 1 (video)

2.5b - Some Tough Limit and Continuity Questions

Tough Limit Example 1 (video) (4:51)
Tough Limit Example 2 (video) (10:35)
One Sided Limit within Continuity Question (video) (7:45)
Tough Limit Example 3 (written)

2.5c - Intermediate Value Theorem

Overview (video)
Example 1 (video)
Example 2 (video)
Example 3 (video)
Example 4 (video)

2.6 - Limits at Infinity

Limits at Infinity Overview (video)
Limits at Infinity Example 1 (video)
Limits at Infinity Example 2 (video)
Limits at Infinity Example 3 (video)
Limits at Infinity Example 4 (video)
Limits at Infinity with Complex Functions Part 1 (video)
Limits at Infinity with Complex Functions Part 2 (video)
Limits at Infinity with Rationalizing (video)
Limits at Infinity with Trig and Inverse Trig Functions (video)
Limits at Infinity with Exponential Functions (video)
Limits at Infinity and Squeeze Theorem Example (video)
Limits at Infinity and Asymptotes (video)

2.7 - Derivatives and Rates of Change

Alternative Definition of Derivative (video)
Using Alternative Definition to Find Tangent Slope (video)
Find Slope of Tangent for Radical Function (video)
Find Slope of Tangent for Rational Function (video)
Find Derivative of Rational Function (video)
Find Derivative of Radical Function (video)
Find Derivative of Linear over Linear Function (video)
Find Tangent Equation of Cubic Function (video)
State Function given Derivative Limit Part 1 (video)
State Function given Derivative Limit Part 2 (video)
Tangent Word Problem 1 (video)
Tangent Word Problem 2 (video)

2.8 - The Derivative Function

The Definition of a Derivative Overview (video)
The Derivative of a Rational Function (video)
Equation of a Tangent on a Radical Function (video)
Equation of a Normal on a Polynomial Function (video)
Finding a Limit using the Derivative Definition (video)
Derivative Definition of Complex Function 1 (video)
Alternative Derivative Definition of Complex Function 1 (video)
Derivative Definition of Complex Function 2 (video)
Alternative Derivative Definition of Complex Function 2 (video)
Derivative Definition of Complex Function 3 (video)
Alternative Derivative Definition of Complex Function 3 (video)
Differentiability - When does a Limit Exist? (video)
Non-Differentiability Case 1 (Corner)
Non-Differentiability Case 2 (Cusp)
Non-Differentiability Case 3 (Vertical Tangent)
Non-Differentiability Case 4 (Asymptote)
Non-Differentiability Case 5 (Point Discontinuity Part 1)
Non-Differentiability Case 6 (Point Discontinuity Part 2)
Non-Differentiability Case 7 (Jump Discontinuity)
Non-Differentiability Case 8 (Continuous Piecewise Function)
Show a Function is Differentiable at a Point (video)
Show a Function is Not Differentiable at a Point (video)

3.3a - Derivatives of Trig Functions (Part 4 of VIP Package A) - $40 for Full Package A

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3.3b - Trig Limits

Trig Limits Example 1 (video)
Trig Limits Example 2 (video)
Trig Limits Example 3 (video)
Trig Limits Example 4 (video)
Trig Limits Example 5 (video)
Trig Limits Example 6 (video)
Trig Limits Example 7 (video)
Trig Limits Example 8 (video)
Trig Limits Example 9 (video)
Trig Limits Example 10 (video)
Trig Limits Example 11 (video)
Trig Limits Example 12 (video)
Trig Limits Example 13 (written, student sent)

3.4a - Chain Rule Part 1

Chain Rule for Derivatives Overview (including Leibniz notation) - (video)
Chain Rule with Complex Function 1 (video)
Chain Rule with Complex Function 2 (video)
Chain Rule with Complex Function 3 (video)
Chain Rule Thinking Problem 1 (video)
Chain Rule Thinking Problem 2 (video)
Chain Rule Thinking Problem 3 (video)
Chain Rule Thinking Problem 4 (video)
Student Sent Chain Rule Example (written)
WebWork Question 1 (video)
WebWork Question 2 (video)
WebWork Question 3 (video)

3.4b - Chain Rule Part 2 (Part 5 of VIP Package A) - $40 for Full Package A

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3.5a - Implicit Differentiation (Part 6 of VIP Package A)

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3.5b - Inverse Trig Derivatives (Part 7 of VIP Package A)

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3.6a - Derivatives of Log Functions (Part 8 of VIP Package A) - $40 for Full Package A

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3.6b - Logarithmic Differentiation (Part 9 of VIP Package A) - $40 for Full Package A

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3.9 - Related Rates (Part 10 of VIP Package A) - $40 for Full Package A

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Calc 1000 Midterm (2015)

Questions (pdf)
Question 1 Solution (video)
Question 2 Solution (video)
Question 3a Solution (part of package A)
Question 3b Solution (part of package A)
Question 4 Solution (part of Package A)
Question 5 Solution (part of package A)
Question 6 Solution (video)
Question 7 Solution (video)
Question 8 Solution (video)
Question 9 Solution (part of package A)
Question 10 Solution (video)
Question 11 Solution (video)
Question 12 Solution (video)
Question 13 Solution (part of package A)
Question 14 Solution (part of package A)
Question 15 Solution (part of package A)
Question 16 Solution (part of package A)
Question 17 Solution (video)
Question 18 Solution (video)
Question 19 Solution (video)
Question 20 Solution (video)
Question 21 Solution (video)
Question 22 Solution (video)
Question 23 Solution (part of package A)
Question 24 Solution (part of package A)

Calc 1000 Midterm (2018)

Questions (pdf)
Question 6 Solution (video)
Question 8 Solution (video)
Question 10 Solution (video)
Question 11 Solution (video)
Question 12 Solution (video)
Question 13 Solution (video)
Question 14 Solution (video)
Question 15 Solution (video)
Question 16 Solution (video)
Question 17 Solution (video)
Question 18 Solution (video)
Question 19 Solution (video)
Question 20 Solution (video)
Question 25 Solution (video)
Question 29 Solution (video)

4.1 - Max vs Min (Part 11 of VIP Package A) - $40 for Full Package A

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4.3 - Shape of Graph (Part 12 of VIP Package A) - $40 for Full Package A

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4.4 - L'Hospital's Rule

L'Hospital's Rule Overview Part 1 (video)
L'Hospital's Rule Overview Part 2 (video)
L'Hospital's Rule Example 1 (video)
L'Hospital's Rule Example 2 (video)
L'Hospital's Rule Example 3 (video)
L'Hospital's Rule Example 4 (video)
When L'Hospital's Rule Doesn't Work (video)
L'Hospital's Rule Thinking Problem (video)
Indeterminate Products Overview (video)
Indeterminate Products Example 1 (video)
Indeterminate Products Example 2 (video)
Indeterminate Products Example 3 (video)
Indeterminate Differences Overview (video)
Indeterminate Differences Example 1 (video)
Indeterminate Differences Example 2 (video)
Indeterminate Differences Example 3 (video)
Indeterminate Differences Example 4 (video)
Indeterminate Powers Overview (video)
Indeterminate Powers Example 1 (video)
WebWork Example 1 (video) (1:58)
WebWork Example 2 (video) (6:08)
WebWork Example 3 (video) (4:01)
WebWork Example 4 (video) (12:59)

4.7 - Optimization - Part of Package B ($60 or $40 with purchase of Package A)

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4.9 - Antiderivatives - Part of Package B ($60 or $40 with purchase of Package A)

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5.1 - Area Under Curve (Part 1)

Area Under Curve Fundamentals Part 1 (video)
Area Under Curve Fundamentals Part 2 (video)
Area Under Curve Fundamentals Part 3 (video)
Area Under Curve Fundamentals Part 4 (video)
Area Under Curve Fundamentals Part 5 (video)
Area Under Curve Fundamentals Part 6 (video)
Area Under Curve Fundamentals Part 7 (video)

5.1 - Area Under Curve (Part 2) + Appendix E - Part of Package B ($60 or $40 with purchase of Package A)

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5.3 - Fundamental Theorem of Calculus - Part of Package B ($60 or $40 with purchase of Package A)

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5.4 - Indefinite Integrals - Part of Package B ($60 or $40 with purchase of Package A)

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5.5 - The Substitution Rule - Part of Package B ($60 or $40 with purchase of Package A)

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6.1 - Areas Between Curves - Part of Package B ($60 or $40 with purchase of Package A)

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6.2 - Volumes - Part of Package B ($60 or $40 with purchase of Package A)

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Injective (One to One) Functions Example (video)

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