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Date
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Topic
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Reading Assignment
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Suggested Problems
Homework Problems |
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| Monday, January 14 |
Introducing the Pipeline Project
Limits at infinity and infinite limits. |
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| Wednesday, January 16 |
Rational Functions and their graphs |
Section 11.3 |
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| Friday, January 18 |
Work day: graphing rational functions & pipelines |
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| * |
| Monday, January 21 |
Introducing the family of Exponential Functions
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Sections 9.1 and 9.2 |
Handouts on infinite limits and on graphing rational functions. |
| Wednesday, January 23 |
Exponential parameters. Graphing exponential functions |
Section 9.2 (again!) |
9.1: 1, 4.
9.2: 1, 6, 7, 8, 9, 12, 13, 16, 17, 19, 21, 22.
Pipeline solution due! |
| Friday, January 25 |
Exponential growth and decay.
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Section 9.3 |
9.2: 25 - 29, 31, 34-36. |
| * |
| Monday, January 28 |
Differentiating Exponential Functions
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Section 9.4 |
9.3: 3, 5, 11, 13. |
| Wednesday, January 30 |
Introducing Inverse functions |
Sections 12.1 through 12.3 |
Pipeline Project due! |
| Friday, February 1 |
Inverse functions and their derivatives |
Sections 12.1 through 12.3---again! |
12.1: 1, 5, 6.
12.2: 2, 4, 6, 7, 8, 10. |
| * |
| Monday, February 4 |
Introducing Logarithms and their properties |
Section 13.1
For more information on logarithms: Optional readings---13.2, 13.2, and 13.4. |
12.1: 3, 7, 8.
12.3: 1, 2.
Make-up the graphs of 3 one-to-one functions and sketch their inverses. (At least one of the graphs must be decreasing.) |
| Wednesday, February 6 |
Differentiation of exponentials and logs |
Sections 14.1 and 14.2 |
13.1: 3, 5, 6.
13.2: 1, 2, 6a, 7a, 9a. |
| Friday, February 8 |
Exponentials and logs---a work day. |
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* |
| * |
| Monday, February 11 |
Test # 4 |
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* |
| Wednesday, February 13 |
Graphing functions involving Exponential and Logarithms--part 1 |
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* |
| Friday, February 15 |
Logarithmic scales and perception |
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Handout on graphing exponentials and logs.
First property of logs.
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| * |
| Monday, February 18 |
Introducing differential equations and their solutions |
Section 15.2
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| Wednesday, February 20 |
Initial Value Problems
Solving some special cases.
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Section 15.2---again! |
Handout---Differential Equations and their solutions. |
| Friday, February 22 |
Modeling using Differential Equations: Using rates of change to predict change. |
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Handout---Solving some special Initial Value Problems. |
| * |
| Monday, February 25 |
Student Loan Project |
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Handout---Solving some applied Initial Value Problems. |
| Wednesday, February 27 |
Newton's method for finding roots---a lab exercise. |
Handout on Newton's method---first two pages. |
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| Friday, February 29 |
Newton's method for finding roots---cont. |
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Spring Break
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| Monday, March 17 |
Periodic Functions---introducing trigonometry
Graphing sine and cosine functions---part I. |
Sections 19.1 and 19.2 |
* |
| Wednesday, March 19 |
Graphing sines and cosines, cont.
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19.1: 3, 4, 5.
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| Friday, March 21 |
The tangent function and other trig functions
Trigonometry and right triangles
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Section 19.3
Section 20.1 |
19.2: 6, 7, 9abcd, 13. Finish the temperature problem.
(Remember extra instructions on 9!)
Student Loan Project due! |
| * |
| Monday, March 24 |
Special right triangles and the unit circle |
Section 20.2 |
Do the problems on the "other periodic functions" worksheet for the cotangent, the secant and the cosecant functions. |
| Wednesday, March 26 |
Trigonometry--a work day |
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* |
| Friday, March 28 |
Test # 5 |
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* |
| * |
| Monday, March 31 |
Trigonometric identities |
Section 20.6 |
** |
| Wednesday, April 2 |
Differentiation of trigonometric functions |
Section 21.1 |
* |
| Friday, April 4 |
Differentiating the trig functions, cont. |
Section 21.2 |
* |
| * |
| Monday, April 7 |
Inverse trig functions |
Section 20.3 |
21.2; 2, 3, 4, 8, 9, 10, 11, 12, 13. |
| Wednesday, April 9 |
Differentiating the Inverse trig functions |
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20.3; 1, 9, 10, 11 (not to turn in!) |
| Friday, April 11 |
No Class. Ohio Section Meeting of the Mathematical Association of America |
| * |
| Monday, April 14 |
Differentiation Workout day!!! |
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Homework on Differentiating Inv Trig Funct handout. |
| Wednesday, April 16 |
Differentiation Gateway Exam |
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* |
| Friday, April 18 |
Net change and signed area---introducing the definite integral |
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* |
| * |
| Monday, April 21 |
Properties of the definite integral |
Section 22.4 |
Handout: 2a, 4ab, 5abcgj, 7, 11abc,13, 14ab. |
| Wednesday, April 23 |
Area Accumulation function and its properties |
Section 23.1 and 23.2 |
22.4; 1, 2, 3, 5, 6, 7, 8. |
| Friday, April 25 |
The fundamental theorem of calculus |
Section 23.3 and 24.1 |
23.1; 1, 3.
23.2; 1, 2, 3.
|
| * |
| Monday, April 28 |
Antiderivatives and the indefinite integral |
Section 25.1 |
* |
| Wednesday, April 30 |
More Antiderivatives
|Integration by Substitution |
Section 25.2 |
Definite and indefinite integral problems on the Handout |
| Friday, May 2 |
Integration by substitution---workout day. |
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25.2; 3(ac), 4(abd), 5(bd), 6(abc), 7, 8, 9(cde), 10 |
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Final Examination
Friday, May 9, 2007 from 1:30-4:30 p.m.
(Note: This is the scheduled time for the Period 5 courses)
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