Overview:

This course is the second half of the trigonometry/calculus sequence for those mathematics students who are tracked for Advanced Placement BC Calculus. It appears on a student's transcript as a 2-credit course.

A packet of problems is used from mid-November until mid-Janaury.  These problems cover a review of major algebra and trigonometry topics, as well as mathematical induction, roots of equations, and the Binomial Theorem and resulting infinite series. There is no final examination on this material.

The calculus is taught during the second semester (mid January until the end of May), and covers precalculus review and differential calculus. The final examination at the end of May covers only the material taught in this calculus section of the course.  This final examination is 20% of the final grade for this 2-credit course.

Syllabus:

Packet of problems used between mid-November and mid-January.

Winter Break Take-home Test

Class Notes:

Assignments:

Packet problems as assigned in class:

1. Mathematical Induction                        Ch1Notes; Hwk1; Hwk2                                     

2. Forming Functions and Equations    Ch2Notes; Hwk1

3. Theory of Equations                              Ch3Notes; Hwk1; Hwk2; Notes; Hwk3; Hwk4

Practice Test 1                                           Solutions

Test 1

4. Solving Equations                                 Ch4Notes

5. Exponential Equations                          Ch5Notes;

6. Exponential Functions                           Ch6Notes; Hwk

7. Logarithmic Functions                           Ch7Notes;                 

Practice Test 2                                            Solutions

Test 2

8. Assorted Funtions

9. Natural Logarithms

10. Exponential Growth

11. Trigonometric Equations and Inequalities

12. Triangle Trigonometry

Practice Test 3

Practice Test 3 Solutions

Test 3

13. Graphs

14. Inequalities

15. Binomial Theorem             Chapter 15 Solutions

Practice Test 4

Practice Test 4 Solutions

Test 4

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Calculus (begining late January)

Text: Calculus Book (mid-January 2007 to May 2008): Calculus: Early Transcendentals, 8th Ed.; Author: Anton/Bivens/Davis; Publisher: Wiley.  ISBN 0-471-48238-2

Assignments (8th Edition)

Class Notes:

2.1 Limits-intro; h/w p. 110, 1-11odd;                                           

2.2 Limits-computing; h/w p121, 3-31 odd                                 

2.3 Limits at infinity; h/w p131, 1-33 odd, 43                              

2.5 Continuity; h/w p152 1-23 odd, 29                                          

2.6 Limits-trig; h/w p160 1-41 odd, 47                                         

Chapter 2 Practice Test

Test, chapter 2

3.1Rates of Change; h/w p176, 1,5, 9-17odd                           

3.2 Definition of Derivative; h/w: see assignment sheet        

3.3 Power Rule; h/w: Assignment Sheet  (AS)                          

3.4 Product and Quotient rules; h/w AS                                    

3.5 Trig Derivatives; h/w AS                                                        

3.6 Chain Rule; h/w 1-21odd;

3.7 Related Rates;  h/w p.221, 1-19odd;    25, 27, 29, 33, 37                                                                       

3.8 Local Linear Approx; p.230, 5,7,13,15,19-27odd                                                     3.8b Differentials p.230, 29-45odd, 53                                             

4.1 Implicit Differentiation p. 241, 9-29odd, 33                    

4.2 Log Differentiation  p.247, 1-23odd, 31,37                     

4.3a Exponential Differentiation p.254, 11-29odd                 

4.3b Inverse Trig Differentiation p.254 33-37,39,43,44      

4.4 L'Hopital's Rule; p.263, 5-33odd                                      

5.1 Function Analysis 1; p.276, 1-11 odd, 15                       

                                                        23,25,27,29,35                  

5.2 Local max/min; p.287, 1-19odd, 31                               

                                                       35,39,41,59                        

Test on 4.3 - 5.1 or 5.2              

Practice AP problems on 5.1 and 5.2 (in class, Friday, 4/11)   Solutions

5.3 Curve Sketching;  p.299, 3,31,35;   39,41,51

5.4 Absolute max/min; p.307, 9,11,13,19,27                      

5.5 Abs. max/min problems  p.318, 1,3,5,6,9                    

                                                    11,13,19,21,49                     

5.6 Newton's Method; p.327, 1-9odd                                    

5.7 MVT/Rolle's Theorem; p.334, 1-11odd                         

5.8 Rectinlinear Motion; p 342, 1,3,7,15,23                        

                                                        13,17,25                            

SPRING BREAK PROBLEMS

Review for final examination using questions from past AP papers:

1972AB;  1972ABsolns;  1973AB;  1973ABsolns

1974AB;  1974ABsolns;  1976AB;  1976ABsolns

1978ABFR;  1979/1980ABFR;

1981 FR,  1982 FR,  1983 FR,  1984 FR,  1985 FR,   1986 FR,  1987 FR

1988AB, 1988Solns; 1989AB, 1989Solns; 1990AB, 1990Solns;

1991AB, 1991Solns; 1992AB, 1992Solns; 1993AB; 1993Solns;

1994AB; 1994Solns;

1995AB, 1995Solns;  1996AB,  1996Solns;  1997AB,  1997Solns;  

1998AB, 1998Solns;  1999AB, 1999Solns

Announcements

Links:

College Board AP Site

www.wiley.com/college/anton

http://www.calculus.org/

Ask Dr. Math calculus questions

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