| Sept. 4 |
1.1 (pgs 2-6) |
function, domain, range, linear function, difference quotient, increasing and decreasing functions |
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| Sept. 6 |
1.2, 1.3 (pgs 12-16, 23-25) |
exponential function, exponential growth and decay, inverse function |
Inverses |
| Sept. 9 |
1.4, 1.5 (pgs 29-32, 36-40) |
natural logarithm, properties of logarithms (pg 30), radians, sine, cosine, and tangent functions | |
| Sept. 11 |
1.5 (pgs 40-41) |
inverse trig functions (arcsin and arctan), power function, polynomial, rational function | Trig Functions |
| Sept. 13 |
1.3, 1.6 (pgs 21-23, 45-50) |
horizontal and vertical asymptotes, shift and stretch rules (box on pg 21), composition function
| Asymptotes |
| Sept. 16 |
1.7 (pgs. 53-55) |
even and odd functions, informal definition of continuous (pg 53), Intermediate Value Theorem |
|
| Sept. 18 |
1.8 (pgs. 57-62) |
idea of the limit of a function (top of page 58), definition of limit (bottom of page 58), properties of limits, one-sided limits, |
|
| Sept. 20 |
1.8 (pgs. 63-64) |
limits at infinity, formal definition of continuous |
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| Sept. 23 |
2.1-2.2 (pgs. 76, 79, 83-87) |
average velocity, instantaneous velocity, derivative of a function at a point | Formal defn. of derivative |
| Sept. 25 |
2.3 (pgs. 90-92) |
derivative function | |
| Sept. 27 |
Exam 1 | |
|
| Sept. 30 |
2.3 (pgs. 92-95) |
derivatives and increasing or decreasing functions (pg. 92) derivative of a constant, derivative of a linear function, derivative of a power functions | |
| Oct. 2 |
2.5 (pgs. 104-108) |
second derivative, concave up, concave down | |
| Oct. 4 |
2.6, 2.4 (pgs. 111-113, 98-101) | differentiable |
|
| Oct. 7 |
2.4, 3.1 - 3.2 (pgs. 132-134) |
recap derivative rules (not a word for your wordlist just recap what we've learned so far), derivative of exponential function | |
| Oct. 9 |
3.3, 3.4 (pgs. 136-139, 143-146 ) |
product and quotient rule, chain rule, review composition of functions (not a word, just review it) | |
| Oct. 11 |
3.5 (pgs. 149-153) | derivatives of trig functions |
|
| Oct. 16 |
3.6 (pgs. 156-159) |
derivative of ln x, derivative of exponentials, derivative of inverse trig functions |
|
| Oct. 18 |
3.9 (pgs. 169-172) |
local linearization |
|
| Oct. 21 |
4.1 (pgs. 186-188) |
local maximum, local minimum, critical point, critical value |
|
| Oct. 23 |
Exam 2 |
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|
| Oct. 25 |
no class |
LEAP Symposium |
|
| Oct. 28 |
4.1 (pgs. 189-192) |
first derivative test, second derivative test, inflection point |
|
| Oct. 30 |
4.2 (pgs. 196-198) |
global maximum, global minimum, Extreme Value Theorem |
|
| Nov. 1 |
4.3 (pgs. 205-209) |
practical tips for modeling optimization problems (pg 206) |
|
| Nov. 4 |
4.3 |
no new words: recap optimization problems |
|
| Nov. 6 |
4.7 (pgs. 242-247) |
L'Hopital's rule |
|
| Nov. 8 |
4.6 (pgs. 234-236) |
no new word: read the Related Rates section |
|
| Nov. 11 |
5.1 (pgs 272-277) |
formula relating distance and velocity (top of page 272), connection between distance and area (bottom of page 274), left and right sums |
|
| Nov. 13 |
5.2 (pgs. 281-285) |
definite integral, general Riemann sum |
Riemann Sums |
| Nov. 15 |
5.3 (pgs. 289-294) |
Fundamental Theorem of Calculus |
|
| Nov. 18 |
|
no words: exam review |
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| Nov. 20 |
Exam 3 |
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| Nov. 22 |
6.2 (pgs. 326-328) |
antiderivatives of f(x)=0, f(x)=k trig functions, and exponential function, indefinite integral |
|
| Nov. 25 |
5.4 (pgs. 298-302) |
Properties of Limits of Integration, Properties of Sums and Constant Multiples of the Integrand, area between curves |
|
| Dec. 2 |
7.1 (pgs. 354-359) |
method of substitution (pg. 355), definite integrals by substitution (box in middle of pg. 358) |
|
| Dec. 4 |
5.4 (pgs. 303-305) |
average value of a function |
|
| Dec. 6 |
Appendix C (pgs. 1112-1114) |
Netwon's method |
|
| Dec. 9 |
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final exam review |
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