Calculus (Period 4) Assignments

Instructor
Mr. Jason Cottrell
Term
2016-2017
Department
HS Math
Description
 The purpose of this course is to prepare students to meet the requirements of AP Calculus AB as determined by the College Board Advanced Placement Program in order to attain college credit. With that end in mind the following class procedures, policies, and schedule of work, assessments, and topics will be covered.

Topics

  1. Limits
    1. Graphically
    2. Numerically
    3. Analytically
    4. Continuity
  2. Differentiation
    1. Rules
    2. Implicit
    3. Related rates
  3. Application of Differentiation
    1. Extrema
    2. Rolle’s theorem
    3. Mean value theorem
    4. First derivative test
    5. Second derivative test
    6. Curve Sketching
  4. Integration
    1. Antiderivative
    2. Integrals
    3. Area
    4. Riemann Sum
    5. The Fundamental Theorem of Calculus
    6. Integration by parts
  5. Logarithmic and Exponential Functions
    1. Differentiation
    2. Integration
  6. Differential equations
    1. Slope Fields
    2. Growth and decay
  7. Applications of Integration
    1. Area between Curves
Volume of Revolution

Assignment Calendar

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Past Assignments

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Just in case

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Please answer the questions. This is tying dy/dx to dv/dt.

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Stuff You Should Know

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6.1 Slope Fields pg 410: 37 - 59 odd
6.2 pg 419 61,63
6.3 Separation of variables: pg 429: 1-21odd

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7.1 Area Between Curves pg. 452: 1-13odd, 17,21,23,27,29,33,39,41

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7.2 volume pg463: 1-13od,33,35,61,62ac,63

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This is just a sample Exam, it is not for a grade.
The answer key is included.

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Ch 4 Integration Review EXAM 2/15/2017
Pg 3161-13odd, 27,41-49odd, 63 -73odd

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4.6 Trapezoid Rule
pg 314: 11-15odd, 51

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4.5 Integration by Substitution
Pg 304: 1-33odd, 39,41,71-81odd

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4.4 FTC 1&2
pg 291: 3-37odd,73-85odd

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4.3 Reimann Sums
pg 279: 33-43odd, 47,49

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(new book) 4.1 Antiderivative and Indefinite Integration
Pg 255: 1-7odd, 15-51odd, 55-63odd, 71-74all

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6.1 Estimate with Finite sums
pr 277: 1-7odd, 8,17,22,23,27,31,32

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9.2 L'Hospitals Rule
scanned page: 1,4,5,7,11-20all, 23,25

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Linearization and differentials
pg 247: 1-7 odd, 15 - 21 odd

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inverse trig functions
Pg178: 1,3,5,7

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Derivative Review: exam 11.18.2016
pg 262: 2,5,7,12,14,19,21,23,25,26,32,34,36,37,38,48,52,69,70,71

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5.6 Related rates
pg. 257: 1-21odd, 25,35

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5.4 optimization
pg 231: 1-25 odd, 

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5.3 connecting graphs
pg220: 1,3,7,9,21,23,39,43,45,49

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5.2 Mean Value Theorem (MVT), Antiderivative
pg 208: 1,3,11,13,29-39odd,43

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ch 5.1 Extreme Values
see attached file

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4.4 Exponential and logs
pg 186: 1-25odd, 51,53

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9 weeks exam
Anything Limits and Derivatives

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Implicit differentiation: 4.2
pg 170: 1-41odd, 47,53

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Chain Rule 4.1
pg160: 1-37 EOO, 56, 63

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Derivative of trig. functions 3.5
pg147: 1-10all

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3.4 Velocity and Other Rates of Change
pg 137: 1,3,9,13,19,23,25,29,31

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3.3 Rules for Differentiation
pg 126 1 - 47 odd
 

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due 9/20 pg116: 1-9odd,17,21

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due 9/15 pg107: 1-11odd,13-17all,23,27,29,31