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Mrs. La Massa - Math Classes |
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AP CALCULUSAP CALCULUS CHAPTER 1 TOPICS TOPIC 1: What is a function? Sec. 1.1 #1-5, 6-14(calc), 15, 16, 17a, 18, 19, 20, 25-28 TOPIC 2: Basic Functions and Transformations Sec. 1.2 #1-6, 7-12, 13-17, 19, 20-25 http://people.hofstra.edu/Stefan_Waner/calctopic1/scaledgraph.html TOPIC 3: Linear functions and equations of lines Sec. 1.3 #1-4 TOPIC 4: Exponential functions and rules for exponents Sec. 1.4 # 1-5 TOPIC 5: Inverse functions Sec. 1.6 # 1-4, 5-8, 9, 12-15, 16-23
http://www.ltcconline.net/greenl/java/IntermedCollegeAlgebra/Inverse/inverse1.html TOPIC 6: Logs and the properties of logs Sec. 1.7 #2-4 TOPIC 7: Combining functions Sec. 1.8 # 1
http://www.ltcconline.net/greenl/java/IntermedCollegeAlgebra/FunctionOps/FunctionOps.html TOPIC 8: Polynomial functions and their graphs Sec. 1.8 # 5, 6, 10, 14 TOPIC 9: Rational functions Sec. 1.8 # 2, 8, 11, 12, 13 TOPIC 10: Symmetry Sec. 1.8 # 3, 21-24 TOPIC 11: Composite functions Sec. 1.9 #1-8
http://www.ltcconline.net/greenl/java/IntermedCollegeAlgebra/PairOfTable/PairOfTable.html TOPIC 12: Trig functions Sec. 19 #1, 2 http://www.themathpage.com/atrig/graphs-trig.htm
AP CALCULUS - LIMITS AND CONTINUITY TOPIC 1: WHAT IS A LIMIT? WHEN DOES A LIMIT EXIST? WWW.CALCULUS-HELP.COM – LIMIT LESSONS TOPIC 2; THEOREMS ON LIMITS TEXT P. 129 – COPY INTO NOTEBOOK WORKSHEET SEC. 2.1 FINNEY #1-18 TOPIC 3: FIND LIMIT FROM GRAPH WORKSHEET 2.1 #19-26, 63-66 TOPIC 4: FIND LIMIT FROM A CHART OF VALUES WORKSHEET 2.1 #27-32 TOPIC 5: LEFT-HAND AND RIGHT-HAND LIMITS WORKSHEET 2.. PART II #39-56 WORKSHEET N BEST TEXT P. 138 #12-21, 30 C-F TOPIC 6: WHEN IS A FUNCTION CONTINUOUS? WORKSHEET P #1-6, 15-30 ` WORKSHEET Q TOPIC 7: REMOVABLE DISCONTINUITIES WORKSHEET P #31-38 TOPIC 8: DRAWING FUNCTIONS WITH DISCONTINUITIES WORKSHEET S TOPIC 9: MAX/MIN THEOREM INTERMEDIATE VALUE THEOREM TOPIC 10: TRIG LIMITS WORKSHEET R TOP #1-16 TOPIC 11: LIMITS AT INFINITY WORKSHEET R BOTTOM #1-20, 31-40 TOPIC 12: LIMITS WITH RADICALS IN NUMERATOR OR DENOMINATOR TOPIC 13: END BEHAVIOR ASYMPTOTES WORKSHEET R BOTTOM #21-28 REVIEW OF LIMITS AND CONTINUITY: WORKSHEET U AP CALCULUS CHAPTER 2 – DERIVATIVES TOPIC 1: AVERAGE RATE OF CHANGE ESTIMATING INSTANTANEOUS RATE OF CHANGE CALCULATOR WORKSHEET #10, WORKSHEET V H/H TEXT P. 94 #4, 5, 6, 7
http://www.ies.co.jp/math/java/calc/heihen/heihen.html
http://www.ies.co.jp/math/java/calc/limsec/limsec.html TOPIC 2: ESTIMATING SLOPES WORKSHEET W H/H TEXT P. 102 # 2, 3, 4, 8, 9, 12 TOPIC 3: USE THE DEFINITION OF THE DERIVATIVE TO FIND THE DERIVATIVE AND THE EQUATION OF THE TANGENT LINE H/H TEXT P. 103 #13, 14, 20, 15, 19, 17, 22 TOPIC 4: SKETCH THE GRAPH OF THE DERIVATIVE CALCULATOR WORKSHEET #11, WORKSHEET X H/H TEXT P. 110 #1-10, 17, 18, 23-29 WORKSHEET Y – MATCHING COLUMN
http://mathdemos.gcsu.edu/mathdemos/derivative_sketch/sketch_the_derivative.html TOPIC 5: EXISTENCE OF DERIVATIVES WORKSHEET Z TOPIC 6: DERIVATIVE RULES POWER RULE (INC. FRACTIONAL AND NEGATIVE POWERS) WORKSHEET 2A #1-16 TOPIC 7: SIMPLIFY FIRST TO FIND DERIVATIVES WORKSHEET 2A #23, 24, 27, 28 WORKSHEET 2B #1, 2, 3, 7, 25-30 H/H TEXT P. 195 #4-23
http://www.ltcconline.net/greenl/DerivativeRules/WebForm1.aspx TOPIC 8: DERIVATIVES OF ex, ln(x), sin(x), cos(x), ax H/H TEXT P. 201 #1-10 TOPIC 9: PRODUCT RULE FOR DERIVATIVES WORKSHEET 2A #17-22 WORKSHEET 2B # 31, 40, 43, 50-52, 54, 55 H/H TEXT P. 206 #3-10 TOPIC 10: QUOTIENT RULE FOR DERIVATIVES AND DERIVATIVE OF tan(x) and sec(x) WORKSHEET 2A # 25, 26, 33, 34 WORKSHEET 2B #8-11, 32, 33, 38, 18, 19 H/H TEXT P. 206 # 11-23, 34, 35 TOPIC 11: CHAIN RULE WITH POLYNOMIALS, au, eu H/H TEXT P. 211 #1-24, 34, 35 WORKSHET 2C, 2D TOPIC 12: CHAIN RULE WITH TRIG FUNCTIONS H/H TEXT P. 217 #1-26 WORKSHEET 2E TOPIC 13: CHAIN RULE WITH ln(u) H/H TEXT P. 222 #1-12 TOPIC 14: IMPLICIT DIFFERENTIATION H/H TEXT P. 226 #1-6, 8, 13 TOPIC 15: DERIVATIVES OF ARCSIN(u) AND ARCTAN(u) H/H TEXT P. 222 #15-18 REVIEW QUESTIONS: H/H TEXT P. 237 #1-99 BEST TEXT P.
Applications of Derivatives 1. Equation of the tangent line Best p. 200 #18, p. 206 #17,18, p216 # 31,36 p. 206 #17,18 p. 225 #38-41 2. Find where the tangent is horizontal. Best p. 200 #19 3. Find where the tangent is equal to a given (non-zero) value. Best p. 201 #24, 25 4. Velocity and acceleration Best p. 200 #20, 21,30, 31, 32 p. 206# 20, 21, 22 p. 269 # 22-27 5. Where a function is increasing, decreasing, concave up, down. Best p. 201 #23, 28, 29 6. Find maximum, minimum, points of inflection Best p. 260 # 1 – 12 p. 268 #1, 4 – 21 p. 269 # 28 - 31 7. Implicit differentiation Best p. 229 # 1 - 26 8. Related rates Best p. 235 # 1 -15, 18 – 24 9. Linear approximations and differentials Best p. 243 # 1 - 9 10. Graph of derivative Best p. 201 #26 p. 117 # 13-16, 18 – 21 p. 126 #5 p. 268 #3 11. Graph of second derivative Best p. 201 #27 p. 126 #5 12. Absolute (global) maximum and minimum Best p. 261 #20 – 31 13. Applied Maximum and Minimum Best p. 281 # 1 – 18 14. Mean Value theorem Best p. 285 # 1 -12
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