Calculus
ALCULUS HONORS AP (Advanced Placement): one credit; full-year course; grade 12
Prerequisite: Pre-Calculus H with a minimum of “C-” and a recommended grade of “B-” or above.
NOTE: Students in the past who failed to meet the above grade recommendations had great
difficulty with the course content. Hence, the math department strongly recommends that those
students not take this class.
Calculus is designed to cover a full first semester of college Calculus. Students would have the
opportunity of testing in the spring for advanced placement (college credit). There is an additional
fee for this test. The course is intended for students who have a thorough knowledge of college
preparatory mathematics, including algebra, trigonometry, and analytic geometry. Functions are
studied, as well as many topics of differential and integral calculus. A graphing calculator is
required for this course. Some examples include the TI-84 and the TI-Nspire, non CAS model.
AP Calculus Syllabus
[email protected]
Our textbook has been made available online. Take advantage of this and other resources.
Text
https://arslanhelpyoucom.files.wordpress.com/2016/05/calculus-early-transcendentals-10th-ed-howard-anton-iril-bivens-stephen-davis-ebook.pdf
Helpful Links by Topics
webspace.ship.edu/msrenault/GeoGebraCalculus/GeoGebraCalculusApplets.html
Helpful Links by Chapter
Chapter 2
Graphing Derivatives 123
Intuitive Look at Graphing the 1st and 2nd Derivatives
The Big Derivative Puzzle (Matching Graphs the their Derivatives' Graph)
Graphs of Functions and their Derivatives in Desmos
Chapter 3
3.1 Implicit differentiation
https://www.youtube.com/watch?v=kk2HilVYAPE
3.1 Implicit differentiation
Sample of a second derivative
https://www.youtube.com/watch?v=X0aw9-kXfY4
Chapter 4
4.5 Notes
Chapter 5
Area under a curve applets
http://www.math.psu.edu/dlittle/java/calculus/area.html Good for estimating area with Rectangles and Trapezoids
Chapter 6
https://www.geogebra.org/m/yn6xudfs#chapter/360102
6.2 Volume Applets Disc/Washer
Notes Samples
http://higheredbcs.wiley.com/legacy/college/anton/0470183454/applets/ch6/figure6_2_13/washer_ex4.htm
http://web.monroecc.edu/manila/webfiles/pseeburger/secure/MyLarson/ch7/LC7_2washer.htm
6.3 Volume Applets Cylindrical Shells
http://archives.math.utk.edu/visual.calculus/5/volumes.6/
http://higheredbcs.wiley.com/legacy/college/anton/0470183454/applets/ch6/figure6_3_7/figure6_3_7.htm
6.2 Cross Section
http://web.monroecc.edu/manila/webfiles/pseeburger/secure/MyLarson/ch7/LC7_2xsection1.htm
http://web.monroecc.edu/manila/webfiles/pseeburger/secure/MyLarson/ch7/LC7_2xsection2.htm
https://www.monroecc.edu/faculty/paulseeburger/dynamic-calculus/secure/MyLarson/ch7/LC7_2xsection1.htm
Chapter 8
8.2 Differential Slope Fields sites. Use these videos to help you with the worksheets
Video 1 http://www.youtube.com/watch?v=FqYdZCxXi5k
Video 2 http://www.youtube.com/watch?v=JplHqzyuYf8
More informational sites
http://www.math.dartmouth.edu/~klbooksite/3.01/301.html
http://covenantchristian.org/bird/Smart/Calc1/SlopeFieldToPost.ppt#266,2,Three/Four%20Pronged%20approach
Study topic pages
http://apcentral.collegeboard.com/apc/public/repository/calculcus-free-exam-1998.pdf
http://apcentral.collegeboard.com/apc/public/repository/Volumes_of_Solids_of_Revolution_Calculus_CM.pdf
http://www.chaoticgolf.com/worksheets/calc/academy/7_3.pdf
http://www.free-test-online.com/ap/Riemann_Sum.html
http://apmathteacher.wikispaces.com/file/view/Riemann+Sums.pdf
http://www.collegeboard.com/student/testing/ap/prep_math.html
http://www.scribd.com/dawpa2000/d/26282185-AP-Calculus-Riemann-Sums-4-2-Notes
http://www.scribd.com/dawpa2000/d/26282185-AP-Calculus-Riemann-Sums-4-2-Notes
Link to old sample free response questions and answers http://www.collegeboard.com/student/testing/ap/calculus_ab/samp.html