Ely-AP Calculus Syllabus 2015-1-REVISED AW

AP Calculus AB
Semester Two
Tina Ely
Room #1149
Math CATS Hours:
Tuesdays & Thursdays, 2:45-3:45
Finney, Ross L., Demana, Franklin, D., Waits, Bert K., and Kennedy, Daniel. Calculus:
Graphical, Numerical, Algebraic. Menlo Park: Scott Foresman, Addison Wesley, 1999, first
The objective of this class is to give students a thorough understanding of calculus concepts and
to help students learn to appreciate the beauty of calculus and its development over time.
Calculus is not a memorization of formulas but rather a collection of concepts to be discussed,
understood, applied, and practiced.
Supplies needed
3-ring binder (Assignments should be done on loose leaf paper.)
Paper and pencil
Graphing calculator (TI-83 or TI-84 is recommended)
Students will have an assignment every class period. A schedule of assignments and tests will be
provided. Students are responsible for assignments regardless of attendance. Each problem will
be corrected, re-done when necessary, and kept in his/her notebook. Students should always try
to do each problem on every assignment and to show all steps he/she took to get the answer.
Keeping up with assignments is very important for having a successful year.
Students will have a test or a quiz almost every week. You may refer to the student planner to
see the school-wide grading systems for assigning letter and semester grades. This course will
have a cumulative exam at the end of each semester. There are no retakes allowed for this
Quizzes (2-3 per chapter): 100 points each
Chapter Tests (4 first semester/ 3 second semester): 200 points each
Explaining problems on the board (1-2 per chapter): 10 points each
Problem Sets & Notes: points vary depending on length of assignment
Video assignment: 10 points
Free Response Presentation: 100 points
Chapter 1
1.1 Lines
1.2 Functions and Graphs
1.3 Exponential Functions
1.4 Parametric Functions
1.5 Functions and Logarithms
1.6 Trigonometric Functions
Review and Test
11 classes
Chapter 2
2.1 Rates of Change and Limits
2.2 Limits Involving Infinity
2.3 Continuity
2.4 Rates of Change and Tangent Lines
Review and Test
14 classes
Chapter 3
3.1 Derivative of a Function
3.2 Differentiability
3.3 Rules for Differentiation
3.4 Velocity and Other Rates of Change
3.5 Derivatives of Trigonometric Functions
3.6 Chain Rule
3.7 Implicit Differentiation
3.8 Derivatives of Inverse Trigonometric Functions
3.9 Derivatives of Exponential and Logarithmic Functions
Review and Test
24 classes
Chapter 4
4.1 Extreme Values of Functions
4.2 Mean Value Theorem
4.3 Connecting f’ and f” with the Graph of f
4.4 Modeling and Optimization
4.5 Linearization and Newton’s Method
4.6 Related Rates
Review and Test
26 classes
Review for the first semester exam and Exam
The exam is constructed as half an AP® Calculus Exam –
-half the number of multiple choice questions
-half the number of free response questions
-calculator and non-calculator portions
-half the amount of time
6 classes
Chapter 5
5.1 Estimating with Finite Sums
5.2 Definite Integrals
5.3 Definite Integrals and Antiderivatives
5.4 Fundamental Theorem of Calculus
5.5 Trapezoidal Rule
Review and Test
14 classes
Chapter 6
6.1 Antiderivatives and Slope Fields
6.2 Integration by Substitution
6.3 Integration by Parts
6.4 Exponential Growth and Decay
6.5 Population Growth
6.6 Numerical Methods
Review and Test
20 classes
Chapter 7
7.1 Integration as Net Change
7.2 Areas in the Plane
7.3 Volumes
Review and Test
18 classes
Chapter 8
8.1 L’Hôpital’s Rule
1 class
Review for the AP® Calculus Exam (includes a practice exam)
14 classes