2009-2010 Academic Year

Mr. Stephen J. Lange

Hollywood High School

1521 N. Highland

Los Angeles, CA 90028

 

Webpages:

www.mrlangemath.com, www.hollywoodhighschool.net

 

Contact:

slange@lausd.net, slange@mrlangemath.com

Phone: (323) 993-1700   Fax(323)957-0238

 

Course Description:

 

Texts:

Calculus, 8th Edition.  Larson, Hostetler, Edwards.  Houghton Mifflin

AP Study Books (Barron's, Kaplan, Princeton Review, etc) 

 

Materials:

        Graphing calculators, internet access, graph paper notebook, ruler, pencils.

Content:

 http://www.cde.ca.gov/be/st/ss/documents/mathstandard.pdf

 

Grading Policy:

90-100%: A

80-90%: B

70-80%: C

60-70%: D

Less than 60%: F 

 

Course Calendar:

Unit

Topic/Standard 

Dates 

Files 

01. Tangent Lines
(AB01 Tangent Lines.pdf)

September

Download

02. Slopes of Secant and Tangent Lines
(AB02 msec mtan.pdf)

September 

Download

03. Graphical Approach to Limits
(AB03 Limits graphical.pdf)

September 

Download

04. Finding Limits Algebraically
(AB04 Limits algebraic.pdf)

September 

Download

05. Definition of Derivative
(AB05 Derivatives def.pdf)

September

Download

06. Derivatives Using Technology
(AB06 Technology.pdf)

September 

Download

07. Techniques of Differentiation
(AB07 Differentiation.pdf)

September

Download

08. Differentiation by the Chain Rule
(AB08 Chain Rule.pdf)

October

Download

09. Differentiation of Trig Functions
(AB09 Trig Differentiation.pdf)

October 

Download

10. Implicit Differentiation
(AB10 Implicit.pdf)

October 

Download

11. Continuity and Differentiation
(AB11 Continuity.pdf)

October

Download

12. Related Rates
(AB12 Related Rates.pdf)

November 

Download

13. Straight Line Motion
(AB13 Motion.pdf)

December 

Download

14. Rolle's and the Mean Value Theorem
(AB14 Rolles MVT.pdf)

December 

Download

15. Function Analysis
(AB15 Function Anal.pdf)

December 

Download

16. Finding Absolute Extrema
(AB16 Abs MaxMin.pdf)

December 

Download

17. Newton's Method of Roots (*)
(AB17 Newton.pdf)

December

Download

18. Approximation Using Differentials (*)
(AB18 Differentials.pdf)

December 

Download

19. Optimization Problems
(AB19 Optimization.pdf)

December 

Download

20. Economic Optimization Problems
(AB20 Economic.pdf)

December 

Download

21. Indefinite Integration
(AB21 Integration.pdf)

January 

Download

22. u-Substitution
(AB22 u-substitution.pdf)

January 

Download

23. Sigma Notation
(AB23 Sigma.pdf)

January 

Download

24. Area Under Curve
(AB24 Area Under Curve.pdf)

January 

Download

25. Riemann Sums
(AB25 Riemann Sums.pdf)

January

Download

26. Exact Area Under a Curve (*)
(AB26 Exact Area.pdf)

January

Download

27. Definite Integral as Area
(AB27 Definite Integral.pdf)

January 

Download

28. Accumulation Function
(AB28 Accumulation.pdf)

January

Download

29. Fundamental Theorem of Calculus
(AB29 Fund Thm.pdf)

February 

Download

30. Definite Integration with u-Substitution
(AB30 usub FTC.pdf)

February 

Download

31. Straight Line Motion Revisited
(AB31 Motion revisited.pdf)

February 

Download

32. Average Value/2nd Fundamental Theorem
(AB32 avg 2nd FTC.pdf)

February

Download

33. Area of Region Between 2 Curves
(AB33 Areas.pdf)

March

Download

34. Volume by Disks and Washers
(AB34 Disks Washers.pdf)

March

Download

35. Volume by Cylindrical Shells (*)
(AB35 Shells.pdf)

March 

Download

36. Review of Exponentials and Logarithms
(AB36 Exp ln Review.pdf)

March 

Download

37. Differentiation of the ln function
(AB37 ln differentiation.pdf)

March 

Download

38. Integration and the ln function
(AB38 ln integration.pdf)

March 

Download

39. Derivatives and Integrals with 'e'
(AB39 Calculus of e.pdf)

March 

Download

40. Inverse Trig Functions
(AB40 Inverse Trig.pdf)

April

Download

41. Integration and Inverse Trig Functions
(AB41 Inverse Trig Int.pdf)

April 

Download

42. Derivatives of Inverse Functions
(AB42 Inverse Derivatives.pdf)

April 

Download

43. Differential Equations by Separation of Variables
(AB43 DEQ.pdf)

April 

Download

44. Slope Fields
(AB44 Slope Fields.pdf)

April 

Download

45. Exponential Growth
(AB45 Exp Growth.pdf)

April 

Download

46. Exponential Growth Continuation
(AB46 Exp Growth II.pdf)

April 

Download

47. Taking Impossible integrals
(AB47 Impossible Integrals.pdf)

May 

Download

48. L'Hopital‘s Rule for Indeterminate Forms (*)
(AB48 lHopital.pdf)

June 

Download

49. Review
(AB49 Review.pdf)

June 

Download