20100804 Wed

Covered Final Exam Topics:
1) Inequality with absolute values
2) Equation with exponents
3) Finding roots of a third degree polynomial
4) Determining an equation of a line
5) Definition of a function
6) Find difference quotient
7) Is this an even function? odd function?
8) Finding asymptotes
9) Amount formula (Compounded periodically, compounded continuously)
10) Equation with logarithms
11) Evaluate trigonometric functions
12) Composition of trigonometric functions, for example: find sin(arccos(x)).
13) Using identities
14) More using identities
15) Finally more using identities

Note: I forgot to mention #9 in class. This is simply plugging the right numbers into a formula.

Homework:
Review for the exam, but at the same time, get a good night's sleep. There will be no make-up exam for a missed final.

[20100805]
The above topics have been posted since Monday, 20100802, perhaps with a small change. They did not change, however, between the review on Wednesday, 20100804, and the exam on Thursday, 20100805. Sometimes, its not about how hard you study, but knowing what to study. Sometimes, the material is just plain difficult. That's life. You need to pick yourself up and move on.

20100803 Tue

Went over problems , , ,

Covered sections 6.5, 6.6

Key Concepts:
Section 6.5
pg 547 Product-to-Sum Identities
Section 6.6
pg 558 Summary: Solving cos x = a
pg 559 Summary: Solving sin x = a
pg 560 Summary: Solving tan x = a
pg 564 Strategy: Solving Trigonometric Equations

Homework:
Section 6.5 1-15 (odd)
Section 6.6 1-25 (every 8)
Not due.

20100802 Mon

Went over two problems

Covered sections 6.1, 6.3, 6.4, 3.6

Key Concepts:
Section 6.1
pg 510 Pythagorean Identities [in particular sin^2(x) + cos^2(x) = 1]
pg 513 Odd and Even Identities
Section 6.3
pg 528 Identity: Cosine of a Sum
pg 529 Identity: Cosine of a Difference
pg 530 Cofunction Identities
pg 531 Identities: Sine of a Sum or Difference
Section 6.4
pg 537 Double-Angle Identities
pg 540 Half-Angle Identities
Section 3.6
pg 330 Definition: Rational Function
pg 334 Summary: Finding Asymptotes for a Rational Function
pg 337 Example 7: A graph with a hole in it

Homework:
Section 6.1 1-57 (every 8), also 11, 13, 15, 29-36, 87-97 (odd)
Section 6.3 1-49 (every 8)
Section 6.4 1-49 (every 8)
Due Thursday

The due date on the extra credit assignment has been extended to tomorrow.