SYLLABUS
AP CALCULUS
Mr. Kakaley – Room 209
mkakaley@bloomsd.k12.pa.us
Website: www.bloomsburgasd.schoolwires.com > high school > faculty
1. Text and Materials: Larson, Calculus of a Single Variable, 8th Ed.
Calculator: TI-89 (required)
2. Content: The first 8 chapters (or parts of) in the book must be covered. Notes will be
provided on Power Point Handouts. Each student will be required to take the AP Test in
May. The nature of the course requires the pace to be quite brisk!
Each chapter will typically have 1 quiz (20-30 points each), 1 test (30-40 points
each), and 4 collected homework assignments (10 points each). The first and last chapter
tests will be take-home tests. Tests and quizzes are composed entirely of AP Multiplechoice and Free-response Questions from workbooks and prior exams.
Homework is due the beginning of the next class, or upon returning from an
excused absence. It will not be accepted late. Be prepared to ask questions about the
homework when it is due.
3. Grading: Grades will be calculated on a point basis. They will include tests, quizzes,
some collected homework, and extra credit (notebooks). Notebooks will be collected for
extra credit at the end of every marking period.
The final exam will be an AP Practice Test, scored as the AP Test will be scored,
given during the fourth marking period (1 = 140/200, 2 = 152/200, 3 = 164/200,
4 = 176/200, 5 = 188/200). The Free Response will be the current year’s questions.
4. Example :
Quiz 1
Test 1
Test 2
Homework
Bonus
Total
Points Earned
45
80
90
50
5
270
Points Available
50
100
100
50
0
300
Grade = 270/300 * 100% = 90 (A)
5. Final Grade: MP1 x .22 + MP2 x .22 + MP3 x .22 + MP4 x .22 + FE x .12
6. Classroom Rules:
 1. Listen during instruction. Ask sincere, relevant questions.
 2. Be on time and sit in your assigned seat. Attendance will always be
taken.
 3. Bring all materials to class. (pencil, calculator, notebook, textbook)
 4. If you don’t want me to hear it, THEN DON’T SAY IT!!! (school
appropriate only)
TOPICS
Entrance Test: Functions, derivatives, and graphing calculator activities
P.1 Graphs and Models
HW: Page 8: 3-45 every 3rd, 69-79 odd
P.2 Linear Models and Rates of Change
HW: Page 16: 1, 5, 7-35 odd, 57, 69, 79
P.3 Functions and Their Graphs
HW: Page 27: 1-17 odd, 25, 31, 37, 41, 49, 54, 83
P.4 Fitting Models to Data
HW: Page 34: 1, 3, 5, 12, 14, 17
Test: P.1-P.4
1.1 A Preview of Calculus
HW: Page 47: 4, 6, 8, 10
1.2 Finding Limits Graphically and Numerically
HW: Page 54: 2-24 even, 25, 52
1.3 Evaluating Limits Analytically
HW: Page 67: 2-60 even, 99
1.4 Continuity and One-Sided Limits
HW: Page 78: 2-16 even, 25, 26, 73, 87, 88
1.5 Infinite Limits
HW: Page 88: 3-45 every 3rd, 50, 55, 57, 67
Test: 1.1-1.5
2.1 The Derivative and the Tangent Line Problem
HW: Page 103: 1-4, 6, 8, 10, 23, 43-47, 49-52, 81-86
2.2 Basic Differentiation Rules and Rates of Change
HW: Page 115: 1, 2, 4-38 even, 55, 67, 69, 72
2.3 The Product and Quotient Rules and Higher-Order Derivatives
HW: Page 126: 3-54 every 3rd, 55, 63, 73, 81, 103, 105, 109
Quiz: 2.1-2.3
2.4 The Chain Rule
HW: Page 137: 9-33 every 3rd, 42-57 every 3rd, 71, 91, 93, 98, 99
2.5 Implicit Differentiation
HW: Page 146: 1-19 odd, 23, 28, 30, 52, Section Project a & b
2.6 Related Rates
HW: Page 154: 1-10, 14, 19, 33, 37, 44
Test: 2.1-2.6
5.1 The Natural Logarithmic Function: Differentiation
HW: Page 329: 3-60 every 3rd, 74, 78, 101a
5.4 Exponential Functions: Differentiation
HW: Page 356: 1-23 and 35-49 odd, 77
Quiz: 5.1-5.4
3.1 Extrema on an Interval
HW: Page 169: 3-36 every 3rd, 53-58
3.2 Rolle's Theorem and the Mean Value Theorem (AP Only)
HW: Page 176: 1-19 odd, 26, 31-34, 38, 39-45 odd, 61
3.3 Increasing and Decreasing Functions and the First Derivative Test
HW: Page 186: 1-39 odd, 47, 55-63 odd, 65-70
3.4 Concavity and the Second Derivative Test
HW: Page 195: 1-6, 12-33 every 3rd, 41, 45-52
Quiz: 3.1-3.4
3.5 Limits at Infinity
HW: Page 205: 1-31 odd, 41, 47, 51-54, 88
3.6 A Summary of Curve Sketching
HW: Page 215: 1-7, 11, 15, 23, 35, 47, 48, 49, 52, 54, 65
3.7 Optimization Problems (AP Only)
HW: Page 223: 2, 5, 7, 9, 13, 19, 27, 43
3.9 Differentials
HW: Page 240: 1-6, 7-25 odd, 43-46
Test: 3.1-3.9
4.1 Antiderivatives and Indefinite Integration
HW: Page 255: 3-42 every 3rd, 47-53, 60, 62, 65
4.2 Area
HW: Page 267: 1-31 odd, 47, 51, 66, 70, 71
4.3 Riemann Sums and Definite Integrals
HW: Page 278: 6-42 every 3rd, 48, 51, 59-62
4.4 The Fundamental Theorem of Calculus
HW: Page 291: 1-39 odd, 43, 47, 54, 67, 73, 74, 81, 90
4.5 Integration by Substitution
HW: Page 304: 3-36 every 3rd, 39-42, 45, 48, 72, 75, 87, 90, 119
4.6 Numerical Integration
HW: Page 314: 1-21 odd (Trapezoids only), 40a, 42-44, 51
Test: 4.1-4.6
5.2 The Natural Logarithmic Function: Integration
HW: Page 338: 1-13 odd, 19, 24, 43-46, 48, 53, 67, 79-82, 87
5.3 Inverse Functions
HW: Page 347: 1-21 odd, 31, 33, 39, 71-76
5.4 Exponential Functions: Integration
HW: Page 356: 85-107 odd, 111, 112, 117
Quiz: 5.1-5.4
5.5 Bases Other than e and Applications (AP Only)
HW: Page 366: 1, 5, 15, 21, 37-41, 61-67, 73, 74, 80
5.6 Inverse Trigonometric Functions: Differentiation (AP Only)
HW: Page 377: 5, 7, 13, 17, 31, 42-60 every 3rd, 61, 82
5.7 Inverse Trigonometric Functions: Integration (AP Only)
HW: Page 385: 3-30 every 3rd, 47, 55, 56, 63, 82 a & b
Test: 5.1-5.7
6.1 Slope Fields
HW: Page 409: 1, 9, 13, 37-47 odd, 49-56, 61, 62, 63
6.2 Differential Equations: Growth and Decay
HW: Page 418: 1, 5, 11, 15, 16, 25, 33, 42, 63, 71
6.3 Separation of Variables
HW: Page 429: 1-19 odd, 45-48, 55 a & c, 60
Test: 6.1-6.3
7.1 Area of a Region Between Two Curves
HW: Page 452: 1, 3, 5, 7, 13, 17, 25, 33, 43, 60, 65a, 88
7.2 Volume: The Disk Method
HW: Page 463: 1, 3, 5, 7, 11, 23, 33, 37, 62, 68
Test: 7.1-7.3
Review: Multiple-choice and free-response questions from workbooks and prior AP
exams (3-4 weeks)
Final Exam: AP Practice Test (Administered as an AP exam)