"e to the x dx/dy, e to the x dx/dy, tangent-secant-cosine-sine, 3.14159!"
AP Calculus Assignments
Calculus – Graphical, Numerical, Algebraic by Finney/Demana/Waits/Kennedy
Section Assignment
2.1 (3-36) multiples of 3, 38, 47, 50, 51, 54, 55, 61, 64
2.2 (3-54) multiples of 3
2.3 (3-30) multiples of 3, 42
2.4 (1-33) odds
Review TBA
3.1 (1-33) odds
3.2 (1-25) odds
3.3 (3-45) multiples of 3
3.4 1, 9, 10, 14, 15, 18, 19, 21, 24, 25, 32, 34, 35, 38
3.5 (3-37) odds, 43
3.6 (3-39) multiples of 3
3.7 (3-54) multiples of 3
3.8 (3-30) multiples of 3
3.9 (3-48) multiples of 3, 53, 54
Review TBA
4.1 (3-33) multiples of 3, 35, 37, 40, 43
4.2 (3-33) multiples of 3, 37, 43, 45, 58
4.3 (1-11) odds, (15-30) multiples of 3, 44, 48
4.4 1, 3, 5, 9, 12, 17, 19, 20, 27, 31, 36, 40, 41, 45, 46
4.5 1, 3, 5, 9, 11, 12, 19, 22, 25, 28, 37, 40, 47
4.6 (3-33) multiples of 3
Review TBA
5.1 (1-8) all, 10, 13, 15, 18, 22, 24, 25, 28, 30
5.2 (3-27) multiples of 3, 33, 34, 35, 37, 40
5.3 1, 3, 4, 6, 8, 10, 11, 14, 15, 18, 19, 22, 23, 28, 29, 34, 36, 40
5.4 (3-33) multiples of 3, 35, (36-51) multiples of 3, 58
5.5 1, 4, 7, 9, 10, 13, 16, 19, 20, 23, 26
Review TBA
6.1 (1-40)
6.2 (3-42) multiples of 3
6.4 (1-14)
Review TBA
7.1 (1-11) odds, (12-17) all, 20, 21, 22, 25
7.2 (3-42) multiples of 3, 48
7.3 (1-11) all, 16, 19, 22, 23, 27, 34, 35, 38, 39, 41
Review TBA
Chapter 2: Limits and Continuity
2.1: Rates of Change and Limits
The following video will help you with the "definition of a limit" as well as some other "limit" topics:
2.2: Limits Involving Infinity
This video discusses The Sandwich Theorem, otherwise known as The Squeeze Theorem:
The following TWO videos will help you understand the concept of horizontal asymptotes as they relate to limits to infinity:
Here's a fun way to remember how to find horizontal asymptotes of functions involving a numerator and denominator:
BOBO BOTN EATS DC
BOBO: If the exponent is Bigger On the Bottom, then y=0 is the horizontal asymptote
BOTN: If the exponent is Bigger On the Top, then there is No horizontal asymptote
EATS DC: If the Exponents Are The Same, then Divide the Coefficients of the terms and that is your horizontal asymptote.
2.3: Continuity
The following video does a nice job of defining continuity by giving you definitions and examples of discontinuities:
Here is a video that details The Intermediate Value Theorem:
2.4: Rates of Change and Tangent Lines
The following TWO videos discuss the concept of Average Rates of Change:
Chapter 3: Derivatives
3.1: Derivative of a Function
The following video shows a couple of examples of how to use the "long" definition of a derivative:
3.2: Differentiability
The following video does a nice job of helping distinguish between differentiable and continuous:
3.3: Rules for Differentiation
3.4: Velocity and Other Rates of Change
3.5: Derivatives of Trigonometric Functions
The following TWO videos help derive and discuss the concept of derivatives of trigonometric functions:
3.6: Chain Rule
Here is a great introductory video to the "Chain Rule" for Calculus:
3.7: Implicit Differentiation
Here is a very good video dealing with "Implicit Differentiation" for Calculus:
3.8: Derivatives of Inverse Trigonometric Functions
Here is a video discussing "Derivatives of Inverse Trigonometric Functions" for Calculus:
3.9: Derivatives of Exponential and Logarithmic Functions
Chapter 4: Applications of Derivatives
4.1: Extreme Values of Functions
The following TWO videos discuss the concepts of maximum and minimum values as well as critical points:
This video discusses the Extreme Value Theorem:
4.2: Mean Value Theorem
This video discusses the Mean Value Theorem:
4.3: Connecting f' and f'' with the Graph of f
4.4: Modeling and Optimization
4.5: Linearization and Newton's Method
Here is a video which discusses the concept of linearization:
4.6: Related Rates
This video contains a checklist and an example dealing with related rates:
This video contains a nice acronym and another example dealing with related rates:
Another related rates example:
Chapter 5: The Definite Integral
5.1: Estimating with Finite Sums
Beginning explanation for LRAM and RRAM:
5.2: Definite Integrals
5.3: Definite Integrals and Antiderivatives
The following video explains how to evaluate a definite integral:
The video discusses the mean value theorem for integrals:
5.4: Fundamental Theorem of Calculus
This video discusses Part 2 of the Fundamental Theorem of Calculus:
5.5: Trapezoidal Rule
This video gives you an example of how to use the trapezoidal rule:
Chapter 6: Differential Equations and Mathematical Modeling
6.1: Slope Fields and Euler's Method
The next two videos focus on slope fields:
The following video discusses Euler's Method. It is not tested over on the AP exam but might be helpful:
6.2: Antidifferentiation by Substitution
The following three videos deal with antidifferentiation using u-substitution:
6.4: Exponential Growth and Decay
The following video discusses the concept of exponential growth and decay in regards to calculus:
Chapter 7: Applications of Definite Integrals
7.1: Integral as Net Change
7.2: Areas in the Plane
The following videos talk about how to find area and the area between curves using calculus:
7.3: Volumes
These videos discuss finding volumes using the methods of cylindrical shells and disks/washers: