AP Calculus
Course Syllabus
Mr. Slater
2015-2016
Course Description: AP Calculus AB is roughly equivalent to a first semester college
calculus course. The AP course covers topics in areas including concept and skills of
limits, derivatives, definite integrals, and the Fundamental Theorem of Calculus. This
course teaches students to approach calculus concepts and problems when they are
represented graphically, numerically, analytically, and verbally, and to make
connections amongst these representations. Students learn how to use technology
(graphing calculators, i pads) to solve problems, experiment, interpret results, and
support conclusions.
Course Format: This course has an online component and we will be “flipping” the
classroom. You will be watching instructional videos at home and doing the
homework in class. It is extremely important that you participate and watch the
videos since this is when the instruction is taking place. If you do not watch the
videos, it will be difficult to complete the in class assignments. You will also be given
i pads (tentatively) with other apps that you can use to enhance your learning.
Prerequisite: Before studying calculus, all students should complete four years of
secondary mathematics designed for college-bound students: courses in which they
study algebra, geometry, trigonometry, analytic geometry, and elementary functions.
These functions include linear, polynomial, rational, exponential, logarithmic,
trigonometric, inverse trigonometric, and piecewise-defined functions. In particular,
before studying calculus, students must be familiar with the properties of functions,
the algebra of functions, and the graphs of functions. Students must also understand
the language of functions (domain and range, odd and even, periodic, symmetry,
zeros, intercepts, and so on) and know the values of the trigonometric functions at
the numbers 0, π/6, π/4, π/3, π/2, and their multiples.
Use of Graphing Calculators: Professional mathematics organizations have strongly
endorsed the use of calculators in mathematics instruction and testing. The use of a
graphing calculator in AP Calculus AB is considered an integral part of the course.
Topic Outline:
I.
Functions, Graphs, and Limits
 Analysis of Graphs
 Limits of Functions (including one-sided limits)
 Asymptotic and Unbounded Behavior
 Continuity as a Property of Functions
Derivatives
 Concept of the Derivative
 Derivative at a Point
 Derivative as a Function
 Second Derivatives
 Applications and Computation of Derivatives
Integrals
 Interpretations and Properties of Definite Integrals
 Applications of Integrals
 Fundamental Theorem of Calculus
 Techniques and Applications of Antidifferentiation
 Numerical Approximations to Definite Integrals
II.
III.
Assessment Overview: The AP Calculus AB Exam questions measure students’
understanding of the concepts of calculus, their ability to apply these concepts, and
their ability to make connections among graphical, numerical, analytical, and verbal
representations of mathematics. The free-response section tests students’ ability to
solve problems using an extended chain of reasoning. During the second timed
portion of the free-response section (Part B), students are permitted to continue
work on problems in Part A, but they are not permitted to use a calculator during this
time. The format of the AP Calculus AB exam is show below:
Grades: Your average for each marking period will be based on a total points scale.
[(points earned)/(total possible points)] x 100
Here are the assignments for which you will be earning points:
1.
2.
3.
4.
Classwork/Homework: 4 points
Online posts: 2 points
Quizzes: 20-30 points **I may give pop quizzes**
Exams: points vary
Your final average will include the 4 marking period grades and a final exam.
Supplies: Notebook/Binder
Loose-leaf paper
Pen/pencil
Graphing calculator
i pad
Thinkwell’s Video Calculus
Stewart’s 7th edition calculus
Absences: If you are absent, you have as many days to make up the assignment(s) as
you are absent. If you miss a quiz or test, you must arrange a time to attend my
resource period or stay after school. Missing work will be placed in your subject
folder near the door.
Expectations: 1) Be on time, 2) Be prepared, 3) Be respectful, 4) Stay on task.
Absolutely no use of electronic devices (other than calculator) including cell phones
or any other music devices. You may not use your phone’s calculator.
Discipline: Failure to meet expectations may result in the following: 1) a warning,
2) a call home, 3) being sent to office, 4) referral.
Extra help: I am available after school Monday-Thursday. I will let you know when I
am unavailable.
My contact information:
Email: jslater@canastotacsd.org
Phone number: (315) 697-2003
Please view my website as needed. Go to www.canastotacsd.org. On the main page
click on Jr./HS then mathematics. Click my name on the side window.