| Jan. 28 |
1.1 (pgs 2-6) |
function, domain, range, linear function, difference quotient, increasing and decreasing functions |
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| Jan. 30 |
1.2, 1.3 (pgs 12-16, 23-25) |
exponential function, exponential growth and decay, inverse function |
Exponential functions |
| Feb. 2 |
1.4 |
natural logarithm, properties of logarithms (pg 30) | Inverse |
| Feb. 4 |
1.5 |
radians, sine, cosine, and tangent functions inverse trig functions (arcsin and arctan), power function, polynomial, rational function | Trig Functions |
| Feb. 6 |
1.3, 1.6 (pgs 21-22, 45-50) |
horizontal and vertical asymptotes, shift and stretch rules (box on pg 21), composition function
| Asymptotes |
| Feb. 9 |
1.7 (pgs. 53-54) |
even and odd functions (pg 23), informal definition of continuous (pg 53), |
Even/Odd/Continuous |
| Feb. 11 |
1.8 (pgs. 55, 57-60) |
Intermediate Value Theorem, idea of the limit of a function (top of page 58), definition of limit (bottom of page 58), properties of limits (page 60) |
|
| Feb. 13 |
1.8 (pgs. 61-64) |
one-sided limits, limits at infinity, formal definition of continuity |
|
| Feb. 16 |
2.1-2.2 (pgs. 76, 79, 83-87) |
average velocity, instantaneous velocity, derivative of a function at a point | Formal defn. of derivative |
| Feb. 18 |
2.3 (pgs. 90-92) |
derivative function | |
| Feb. 20 |
Exam 1 | |
|
| Feb. 23 |
Snow Day! |
| |
| Feb. 25 |
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 | |
| Feb. 27 |
2.5 (pgs. 104-108) |
second derivative, concave up, concave down | |
| Mar. 2 |
3.1, 2.6 (pgs. 124-126, 111-113) | derivative of a constant multiple, derivative of sum and difference, differentiable |
|
| Mar. 4 |
2.4 (pgs.99-101) |
no word: recap derivative rules so far | |
| Mar. 6 |
3.2, 3.3 (pgs. 132-134, 136-139) |
derivative of exponential function, product and quotient rule | |
| Mar. 9 |
3.4, 3.5 (pgs.143-146, 149-153) | chain rule, derivatives of trig functions |
|
| Mar. 11 |
3.6 (pgs. 156-159) |
derivative of ln x, derivative of exponentials, derivative of inverse trig functions |
|
| Mar. 13 |
3.9 (pgs. 169-172) and 4.1 (pgs. 186-188) |
local linearization, local maximum, local minimum, critical point, critical value |
|
| Mar. 23 |
4.1 (pgs. 189-192) |
first derivative test |
|
| Mar. 25 |
4.1 (pgs. 189-192) |
second derivative test, inflection point |
|
| Mar. 27 |
Exam 2 |
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| Mar. 30 |
4.2 (pgs. 196-198) |
global maximum, global minimum, Extreme Value Theorem |
|
| Apr. 1 |
4.3 (pgs. 205-209) |
practical tips for modeling optimization problems (pg 206) |
|
| Apr. 3 |
4.5, 3.7, 4.6 |
no new words: recap optimization problems |
|
| Apr. 6 |
4.6 (pgs. 234-236) |
no new word: read the Related Rates section |
|
| Apr. 8 |
4.7 (pgs. 242-247) |
L'Hopital's rule |
|
| Apr. 10 |
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 |
|
| Apr. 13 |
5.2 (pgs. 281-285) |
definite integral, general Riemann sum |
Riemann Sums |
| Apr. 15 |
5.3 (pgs. 289-294) |
Fundamental Theorem of Calculus |
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| Apr. 17 |
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no words: finish Fundamental Theorem |
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