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Chapter 3 Syllabus

Differentiation

I will Derive!


Dare to be differential


Useful Web links for Ch. 3:

  • Surfing Derivatives
  • Calculus Applets - See what you can learn about Derivatives!
  • Explore Functions, Derivatives and Integrals interactively
  • Applet on tangent lines to graphs of a single variable.
  • Applet on secant lines and their relation to tangent lines for graphs of a single variable.
  • Differential Calculus on Web Primitives
  • Differential Calculus on the Math Forum
  • Step by Step Derivatives - check your derivatives and see the steps to solving your derivatives.
  • Notes from this Chapter

    Thursday, October 22

    Section 3.2: Basic Differentiation Rules and Rates of Change

     

    Objectives:

    ·          Find the derivative of a function using the Constant Rule.

    ·         Find the derivative of a function using the Power Rule.

    ·         Find the derivative of a function using the Constant Multiple Rule.

    ·         Find the derivative of a function using the Sum and Difference Rules.

                               

    Homework: Read and take notes on Section 3.2 (p. 127-135) AND

    Do p. 136-139 #4-7,10,12,13,18,26,27,29,40,41,76,83-85

    Friday, October 23

    3.2 Continued

    Objectives:

    ·          Find the derivative of the sine, cosine, and exponential functions.

    ·         Use derivatives to find rates of change.

     

    Homework: Do p. 136-139

    # 11,15,21,24,33,43-45,54,59,86-88,90,103,116

    Monday, October 26

     

     

    No School – Parent Teacher Conferences

     

     

    Tuesday, October 27

    Quick Quiz 3.2

     

    Section 3.3: Product and Quotient Rules and Higher-Order Derivatives

     

    Objectives:

    ·          Find the derivative of a function using the Product Rule.

    ·         Find the derivative of a function using the Quotient Rule.

     

    Homework: Do p. 147-150

    # 2,3,6,8,9,15,18,19,22,25,32,38,41,52,57, 133,134

    Wednesday, October 28

    3.3 Continued

    Objectives:

    ·          Find the derivative of a trigonometric function.

    ·         Find a higher-order derivative of a function.

     

    Homework: Do p. 147-150

    # 4,10,17,50,69,99,102,103,109-111,115,121,135,136 AND

    Read and Take Notes on Section 3.4 (p. 151- 160)

     

    Thursday, October 29

    Section 3.4: The Chain Rule

     

    Objectives:

    ·          Find the derivative of a composite function using the Chain Rule.

    ·         Find the derivative of a function using the General Power Rule.

    ·         Simplify the derivative of a function using algebra.

    ·         Find the derivative of a transcendental function using the Chain Rule.

     

    Homework: Do p. 161-165 #2,5,7,9,12,16,17,29,55,58,62,66,101,183

    Friday, October 30

    3.4 Continued

    Objectives:

    ·          Find the derivative of a function involving the natural logarithmic function.

    ·         Find the derivative of a function involving absolute value.

    ·         Define and differentiate exponential functions that have bases other than e.

     

    Homework: Do p. 161-165

    #15,28,33,59,63,77,80,93,103,123,129, 134,154,173

    Monday, November 2

    Quiz 3.1 – 3.4

     

    Homework: Read and Take Notes on Section 3.5 (p. 166-171)

    Tuesday, November 3

    Section 3.5: Implicit Differentiation

     

    Objectives:

    ·          Distinguish between functions written in implicit form and explicit form.

    ·         Use implicit differentiation to find the derivative of a function.

    ·         Find derivatives of functions using logarithmic differentiation.

     

    Homework: Do p. 171-174 # 1,5,7,10,14,18,19,23,25,31,35,52,65,85

    Wednesday, November 4

    3.5 Continued

    Objectives:

    ·          Distinguish between functions written in implicit form and explicit form.

    ·         Use implicit differentiation to find the derivative of a function.

    ·         Find derivatives of functions using logarithmic differentiation.

     

    Homework: Do p. 171-174 # 2,6,12,15,20,27,44,48b,55,59,69-70,92 AND Read and Take Notes on Section 3.6 (p. 175-179)

    Thursday, November 5

    Section 3.6: Inverse Functions

     

    Objectives:

    ·          Find the derivative of an inverse function.

    ·         Differentiate an inverse trigonometric function.

     

    Homework: Do p. 179-181 # 1,5,7,9,12,15,17,19,22,28,31,65,71a-c

    Friday, November 6

    3.6 Continued

    Objectives:

    ·          Find the derivative of an inverse function.

    ·         Differentiate an inverse trigonometric function

     

    Homework: Do p. 179-181 # 21,24,25,29,41,49,57,69,71de AND

    Read and Take Notes on Section 3.7 (p. 182-186)

     

    Monday, November 9

    Quick Quiz 3.5 – 3.6

     

    Section 3.7: Related Rates

     

    Objectives:

    ·          Find a related rate.

    ·         Use related rates to solve real-life problems.

     

    Homework: Do p. 186-190 # 1,11,15,16,18,23,25,27

    Tuesday, November 10

    3.7 Continued

    Objectives:

    ·          Find a related rate.

    ·         Use related rates to solve real-life problems.

     

    BEGIN RELATED RATES LAB

     

    Homework: Do p. 186-190 # 28,30,31,33,35,44

    Wednesday, November 11

     Related Rates Lab (Lab Due Friday, November 13)

     

    Objectives:

    ·          Explore related rates.

     

    Homework: Do p. 186-190 # 16,20,26,29,33,52 AND

    Read and Take Notes on Section 3.8 (p. 191-194)

    Thursday, November 12

    Section 3.8: Newton’s Method

     Use this website to perform Newton's Method if you don't have it on your calculator:  http://www.math.sc.edu/cgi-bin/sumcgi/Newton.pl

    Objectives:

    ·          Approximate a zero of a function using Newton’s Method.

     

    Homework: Finish Related Rates Lab (Due Tomorrow) AND

    Do p. 195-196 # 1,5,17,27-29,43

    Friday, November 13

    3.8 Continued

    Objectives:

    ·          Approximate a zero of a function using Newton’s Method.

     

    Homework: STUDY FOR YOUR GATEWAY – Know # 1-24 on the inside front cover of your book.

    Take Home Exam Due Friday

     

    Monday, November 16

    Gateway Test – Derivatives

     

    Homework: Do p. 197-200

    # 1,4,5,9,16,20,25,29,34,41,51,56,61,70, 78,121,146 and

    Take-Home Exam

    Tuesday, November 17

    Review Day

     

    Homework: Work on TAKE HOME EXAM and STUDY!!!

    Wednesday, November 18

    Review Day

     

    Homework: Finish TAKE HOME EXAM and STUDY!!!

    Thursday, November 19

    Chapter 3 IN CLASS EXAM

    Friday, November 20

    Start Chapter 4

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    02/14/2010 02:45 PM

     

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    BHS Mathematics Department