SYLLABUS

CALCULUS H

Mr. Kakaley – Room 209

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 Prep Chapter through Chapter 5 will be covered (approximate). Notes will be provided on Power Point Handouts.

Each chapter will typically have 1 quiz (50 points each), 1 test (100 points each), and 4 collected homework assignments (10 points each). Tests will include a calculator and a non-calculator section.

Homework is due the beginning of the next class, or upon returning from an excused absence. It will not be accepted late.

3. Grading: Grades will be calculated on a point basis. They will include tests, quizzes, some collected homework, and periodic extra credit (notebooks). Notebooks will be collected for extra credit at the end of every marking period.

The final exam is given during the fourth marking period and will be primarily based on material covered during the fourth marking period, but it will include material from throughout the year.

4. Example : Points Earned Points Available

Quiz 1 45 50

Test 1 80 100

Test 2 90 100

Homework 50 50

Bonus 5 0

Total 270 300

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 and graphs, solving equations, and graphing calculator activities

P.1 Graphs and Models

HW: Page 8: 3-45 every 3rd, 69, 73
P.2 Linear Models and Rates of Change

HW: Page 16: 1, 5, 7-35 odd, 57
P.3 Functions and Their Graphs

HW: Page 27: 1-25 odd, 41, 47, 53
P.4 Fitting Models to Data

HW: Page 34: 1-9 odd

Test: P.1-P.4
1.1 A Preview of Calculus

HW: Page 47: 7 and 9
1.2 Finding Limits Graphically and Numerically

HW: Page 54: 1-23 odd, 33
1.3 Evaluating Limits Analytically

HW: Page 67: 3-60 every 3rd, 89
1.4 Continuity and One-Sided Limits

HW: Page 78: 1-15 odd 25, 37, 79
1.5 Infinite Limits

HW: Page 88: 1-11 odd, 33-39 odd, 49

Test: 1.1-1.5
2.1 The Derivative and the Tangent Line Problem

HW: Page 103: 1-7 odd, 25, 37-40, 49
2.2 Basic Differentiation Rules and Rates of Change

HW: Page 115: 1-31 odd, 53, 72
2.3 The Product and Quotient Rules and Higher-Order Derivatives

HW: Page 126: 1-25 odd, 39, 41, 43, 93, 95, 97

Quiz: 2.1-2.3

2.4 The Chain Rule

HW: Page 137: 7-21 odd, 41-47 odd, 67, 91, 98
2.5 Implicit Differentiation

HW: Page 146: 1-11 odd, 21, 27 29, 31, 51, 53
2.6 Related Rates

HW: Page 154: 1-7 odd, 18, 27a, 33

Test: 2.1-2.6

3.1 Extrema on an Interval

HW: Page 169: 1-25 odd
3.3 Increasing and Decreasing Functions and the First Derivative Test

HW: Page 186: 3-27 every 3rd, 39, 47, 57, 63
3.4 Concavity and the Second Derivative Test

HW: Page 195: 1-21 odd, 41, 49, 51

Quiz: 3.1-3.4

3.5 Limits at Infinity

HW: Page 205: 3-9 odd, 17-31 odd, 51
3.6 A Summary of Curve Sketching

HW: Page 215: 1-4, 7, 11, 15, 17, 35, 47, 49
3.9 Differentials

HW: Page 240: 1-21 odd, 43, 45

Test: 3.1-3.9

4.1 Antiderivatives and Indefinite Integration

HW: Page 255: 9-33 odd, 49-53, 55, 57, 61, 62
4.2 Area

HW: Page 267: 3-33 every 3rd, 47, 49, 63, 67
4.3 Riemann Sums and Definite Integrals

HW: Page 278 9-31 odd, 39, 41, 59-62

Quiz: 4.1-4.3

4.4 The Fundamental Theorem of Calculus

HW: Page 291: 3-39 every 3rd, 67, 73, 81
4.5 Integration by Substitution

HW: Page 304: 7-21 odd, 35, 39, 43, 49, 71, 73, 81
4.6 Numerical Integration

HW: Page 314: 1-11 odd (Trapezoids only), 39a, 42-44

Test: 4.1-4.6

5.1 The Natural Logarithmic Function: Differentiation

HW: Page 329: 3, 7, 11, 25, 33, 35, 41-57 odd, 77
5.2 The Natural Logarithmic Function: Integration

HW: Page 338: 1-11 odd, 29-35 odd, 43-46, 47, 49, 51
5.3 Inverse Functions

HW: Page 347: 1, 3, 9-19 odd, 29, 31, 37, 71
5.4 Exponential Functions: Differentiation and Integration

HW: Page 356: 1, 15, 21, 33-45 odd

HW: Page 356: 85-105 odd, 111, 112

Test: 5.1-5.4

6.1 Slope Fields

HW: Page 409: 1, 9, 13, 37-43 odd, 49-55 odd, 61, 62
6.2 Differential Equations: Growth and Decay

HW: Page 418: 1, 5, 11, 15, 16, 25, 33
6.3 Separation of Variables

HW: Page 429: 1-15 odd, 45-48

Test: 6.1-6.3

7.1 Area of a Region Between Two Curves

HW: Page 452: 1, 3, 5, 13, 17, 25, 33, 43
7.2 Volume: The Disk Method

HW: Page 463: 1, 3, 5, 7, 11, 23, 33, 37, 62, 68

Test 7.1-7.2