# COURSE SYLLABUS

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```							                                          Advance Placement Calculus AB Syllabus
(27072000)
Druid Hills High School

Teacher: Paul Johnson                               Phone Number: 678-874-6411
Room Number: 510C                                   Email: Paul_D_Johnson@fc.dekalb.k12.ga.us
Semester: Fall 2011                                 Tutorial Days: Monday, Thursday, and by
appointment
Textbook: Calculus James Stewart                    Tutorial Hours: 3:20-4:00
Textbook Price: replacement cost                    Tutorial Location: Room 510C

Department Philosophy: We believe that by creating an environment conducive to learning,
building positive rapport with students, and employing differentiated instructional strategies, we
can promote student success. Furthermore we believe that each student can be successful in
learning to: value mathematics, become a mathematical problem solver, communicate and reason
mathematically. We expect that every student will be successful in this course.

Course Description: Our emphasis is on students truly understanding calculus and its application
to the real world. Student discussions and explorations are a big part of the class. Students should
be able to calculate, write about the content, along with the discussions that take place. The first
semester begins with an in depth look at functions, then the limits and continuity of those functions
are explored. Next, the concepts of the derivative are covered. Finally, applications of the
derivative are studied. In the last part of the semester, antiderivatives are investigated. The first
semester concludes with calculating areas below and between curves. Each student has a graphing
calculator, either a TI-83, TI-84, or TI-89. We use our calculators to explore and reinforce
concepts. Assessments are given with calculator required and others without a calculator. Note that
students may continue on with the BC portion of the AP Calculus curriculum in the spring
semester.

Course Prerequisites: Permission of instructor and successful completion of Analysis, Math 4, or
Accelerated Math 3.

Rough Course Outline:
Week 1 Trigonometry Review
Week 2 Limits and Rates of Change
Week 3 Graphical interpretation of first and second derivatives
Week 4 Limit definition of derivative, Power Rule
Week 5 Equations of tangents and normals
Week 6 Product and Quotient Rules
Week 8 Derivatives of trigonometric functions
Week 9 Chain Rule, Implicit differentiation
Week 11 Optimization, Derivatives of exponential and logarithmic functions
Week 12 Curve sketching (graphical look at antiderivatives)
Week 13 Fundamental Theorem of Calculus, Riemann Sums
Week 14 Area beneath/between curves, Volumes of revolution
Weeks 15-16 Differential Equations
Week 17 Wrap-up/Review
Week 18 Review/Exam
Homework /classwork 15%
Quizzes 20%
Tests 45%
Final exam 20%
Total 100%
A - 90-100, B - 80-89, C - 71-79, D - 70, F - 69 and below

Required Materials:
Notebook with lined paper, dividers, graph paper
Pencils and erasers
Ruler
Graphing calculator (TI-83 or equivalent. To be provided by school or student)
Textbook (provided by school)

To achieve an “A” or “B” in this class, the student must:
1. Attend class regularly and be on time.
2. Do all assignments following the specific guidelines given for each assignment making few errors.
3. Turn in all assignments on time and keep up with make up work when absent.
5. Have an organized notebook and take legible notes regularly.
6. Be prepared for and achieve above average scores on exams (including quizzes, tests, midterm,
and final).
7. Seek help when faced with difficulty (personal or school related).

Late Assignments (Department-wide policy): Homework and class work may be redone in the
current 4½ -week grading period only. The grades on these assignments will be discounted by 10% per day
late.

Make-up Policy (Department-wide policy): Students will have two days for each day excused
absence to make up work without penalty. Absence must be excused by the attendance office. Make up
tests and quizzes may be different.

Re-do Policy: A low score on a quiz or test may be mitigated by the following procedure:
1. Review each problem on the quiz/test. Understand what went wrong. Come in for at least one day of
tutoring.
2. Write a similar (but different) quiz or test. You can take problems from the textbook or other sources (or
write them yourself), but make sure they require you to demonstrate the same skills as the original required.
This new quiz/test must be approved by the teacher. This may take one or two revisions. Suggestions will
be made to ensure that the rigor of your questions is on a par with the original.
3. Come take your quiz/test in a proctored environment. (Note that you can work every problem ahead of
time.)
4. Your final grade will be the average of the original and the grade you earn on the retest.

Parents:
Please email or call to let me know that you have seen this syllabus and to give me a way to
contact you if we need to discuss your child’s progress in this course. Thank you!

```
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