A. P. CALCULUS INTRODUCTION & SYLLABUS
Mrs. Kravetz
Rm. 200
rkravetz@hal-pc.org rkravetz@houstonisd.org
I. Philosophy
The best way to describe calculus is as the mathematics of change. Advanced Placement Calculus emphasizes a multi-representational approach to calculus, with concepts, results and problems being expressed geometrically, numerically, analytically and verbally. Technology is an integral part of the course. It is also fun.
II. Goals and Objectives
|
Week |
Starting |
Topic |
Chapter |
|
Fall |
|
|
|
|
1 & 2 |
Aug. 15, 2005 |
Review |
Prerequisites and Packet |
|
3 & 4 |
Aug. 29 |
Limits & Continuity |
One |
|
5 |
Sept. 12 |
Infinite Limits & Derivatives |
1.5, 2.1 & Harvard Derivative |
|
6 -9 |
Sept. 19 |
Derivatives (rules, rates of change, dist, vel, accel problems) |
2.1-2.3 & other sources |
|
10-11 |
Oct. 17 |
Chain Rule & Implicit Differentiation |
2.4-2.5 |
|
12-13 |
Oct. 31 |
Related Rates (Yeah!) |
2.6 |
|
14-15 |
Nov. 14 |
Curve Sketching using Derivatives |
3.1-3.6 |
|
16-17 |
Dec. 5 |
Max./Min Problems |
3.7, 3.10 |
|
17 |
throughout |
Linear approximation, local linearity |
3.8, 3.9 &other sources |
|
18 |
Dec. 12 |
Review for final |
|
|
|
|
|
|
|
Spring |
|
|
|
|
1-2 |
Jan. 4 |
Antiderivatives & distance, velocity and acceleration |
4.1 & worksheet |
|
3-4 |
Jan. 16 |
Riemann Sums, Definite Integral, 1st & 2nd Fundamental Theorem of Calculus, Definite integral as accumulator of rates of change and its applications (Yeah!)
|
4.2-4.4 |
|
5-6 |
Jan. 30 |
Trap. Approx. & Integration by substitution |
4.5-4.6 |
|
7 |
Feb. 13 |
Inverse Functions + intro. to ln |
5.4, 5.1 |
|
8-9 |
Feb. 20 |
Natural Log & Exponential Functions |
5.1-5.3, 5.5 |
|
10 |
March 6 |
Growth & Decay |
5.6 |
|
|
March 13 |
Spring Break |
6.1 |
|
11 |
March 20 |
Area between 2 curves |
|
|
12 |
March 27 |
Volumes of revolution |
6.2-6.3 |
|
13 |
April 3 |
Inverse trig. Fns. & L’Hopital’s Rule |
5.7-5.8, 7.7 |
|
14-17 |
4/10-5/2 |
AP REVIEW |
practice tests, old AP exams, etc. |
|
17 |
May 3 |
AP EXAM at 8:00am |
|
|
|
May 4 |
Free Day |
|
|
18-19 |
May 8 |
Additional Topics (Trig Sub., Int. by Tables, more int. by parts) |
|
III. Resources: Textbook: Larson/Hostetler Calculus, 7th edition
Supplemental materials include old AP exams, D & S Marketing Practice Exams, AP Institute materials and an on-line calculus resource system.
TI-89 calculutor (optional)
IV.Grades
Homework: 5-15 pts. each
Quizzes: 5-50 pts. Each
Tests: 100 pts. each
Projects: 100 pts. each (one per six weeks grading cycle)
There will be a significant number of TIMED speed drills/quizzes to provide preparation for the AP exam. As the AP exam allows the use of a calculator on only a portion of the exam, some tests will be calculator free. Thus, please do not become too dependent on your calculator. Some tests will be take-home exams.
V. Discipline Management Policies:
Tardies: 3 tardies = 30 minute detention
Missed homework: 2 missed homework assignments=30 minute detention after school
VI. AP Exam
The AP AB Calculus exam will be held at Reagan High School at 8:00am on Tuesday, May 3, 2006 . Every student in this class should plan to take the exam as it is excellent preparation for college. The exam is 3 hours and 15 minutes long. The multiple choice section has 45 questions and students are not allowed to use a calculator on Part A (28 questions in 55 minutes). Part B (17 questions in 50 minutes) contains some questions for which a graphing calculator is reqired. The free response section contains six questions and students may use a calculator on Part A (3 questions in 45 minutes) and may not use a calculator on Part B (3 questions in 45 minutes). Students who finish the last three questions early may go back to the earlier three and continue working without a calculator. We will take a number of practice tests in the spring so as to best prepare you for the style and content of the exam.
I look forward to a joyous and productive time with you.