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Lecture |
Text |
Topics |
Suggested Problems |
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1
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Appendices
A,B,D; 1.1--1.5 |
Review
of real numbers, absolute value, inequalities, lines, functions, exponential
and trig functions} |
App.
A: 6, 7, 23, 28, 49, 52, 61, 62 |
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App.
B: 1, 7, 23, 25, 29, 35 |
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App.
D: 15, 19, 27, 31, 67, 74 |
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1.1:
2, 7, 8, 19, 21, 22, 25, 38, 50, 51 |
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1.2:
4, 11, 15, 16 |
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1.3:
4, 5, 9, 16, 20, 23, 27, 36, 53 |
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1.4:
1, 14, 15, 19, 25, 27 |
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1.5:
11, 13, 17, 18, 22 |
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2
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Appendix
D, 1.6 |
Inverse
functions; logs and inverse trig functions |
1.6:
6, 12, 14, 26, 27, 35, 38, 48, 49, 50, 52 |
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3
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2.1,
2.2 |
Tangents
and velocity; limits |
2.1:
1, 3, 6, 8 |
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2.2:
5, 6, 8, 9, 14, 19, 23, 27, 28, 30, 31 |
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4
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2.3,
2.4 |
Limit
laws and definition of limit |
2.3:
1, 3, 6, 7, 10, 13, 20, 26, 29, 37, 35, 38, 40, 47, 58 |
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2.4:
1, 3, 4, 6, 7, 20, 41, 42 |
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5
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2.5
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Continuity;
Intermediate Value Theorem |
2.5:
3, 4, 15, 16, 19, 20, 25, 26, 37, 40, 47, 50, 51 |
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6
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2.6
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Infinity;
asymptotes |
2.6:
4, 11, 16, 18, 19, 23, 26, 39, 40, 55, 58 |
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7
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2.7,
2.8, 2.9 |
Rates
of change; derivatives |
2.7:
5, 8, 11, 12, 15 |
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2.8:
3, 7, 11, 15, 16 |
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2.9:
2, 4, 11, 22, 29, 30, 34, 37, 41 |
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8
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3.1,
3.2 |
Differentiation
formulas; derivatives of exponential functions |
3.1:
5, 7, 13, 16, 20, 33, 39, 46, 51, 54, 57 |
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3.2:
3, 4, 5, 8, 9, 20, 27, 41, 42 |
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9
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3.3,
3.4 |
Rates
of change; derivatives of trig functions |
3.3:
3, 8, 13, 18, 25, 31 |
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3.4:
3, 5, 8, 10, 13, 16, 18, 23, 29, 35, 36, 39 |
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10
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3.5,
3.6 |
The
chain rule, implicit differentiation |
3.5:
1, 2, 9, 14, 15, 16, 21, 22, 25, 33, 35, 44, 47 |
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3.6:
3, 9, 16, 29, 41--44, 47, 48 |
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11
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First
exam (usual class time and place) |
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12
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3.6,
3.7, 3.8 |
Derivatives
of logs and inverse trig functions, higher derivatives |
3.7:
1, 5, 8, 11, 19, 20, 39, 48, 51, 57 |
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3.8:
3, 4, 7, 8, 13, 15, 24, 25, 26, 32, 35, 38, 41 |
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13
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3.10
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Related
rates |
3.10:
1, 6, 14, 23, 24, 31 |
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14
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3.11,
4.9 |
Linear
approximation, Newton's Method |
3.11:
5, 7, 10, 13, 31, 36, 42 |
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4.9:
1, 5, 14, 36 |
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15
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4.4
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L'H\^opital's
Rule |
4.4:
1, 2, 3, 7, 10, 15, 21, 22, 29, 36, 37, 38, 47, 53, 54, 68 |
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16
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4.1,
4.2 |
Max
and min; the Mean Value Theorem |
4.1:
3, 22, 34, 39, 46, 55, 61, 62, 65, 68, 77 |
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4.2:
5, 11, 14, 17, 23, 24, 29 |
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17
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4.3
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f'(x),
f''(x) and the graph of f |
4.3:
1, 5, 7, 11, 21, 22, 31, 32, 33, 36, 37, 42, 45, 47 |
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18
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4.5,
4.6 |
Sketching
graphs |
4.5:
3, 18, 30, 35, 45, 48 |
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4.6:
7, 14, 15, 26, 27 |
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19
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4.7
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Applied
max/min |
4.7:
2, 9, 17, 22, 27, 33, 40, 56 |
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20
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4.10
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Antiderivatives
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4.10:
3, 10, 12, 15, 25, 28, 35, 40, 48, 53, 55, 60, 63 |
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21
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5.1,
Appendix E |
Area,
distance, sigma notation |
5.1:
4, 11, 18, 21 |
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22
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Second
exam (usual class time and place) |
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App.
E: 1, 6, 12, 14, 25, 30, 44 |
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23
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5.2
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The
definite integral |
5.2:
3, 5, 12, 23, 33, 34, 37, 38, 48, 49, 53, 54 |
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24
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5.3,
5.4 |
The
Fundamental Theorem of Calculus |
5.3:
2, 8, 11, 17, 18, 25, 30, 31, 35, 37, 68 |
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5.4:
1, 2, 5, 7, 8, 10, 11, 18, 19, 22, 29, 30, 38, 47, 54, 55 |
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25
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5.5
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Substitution
rule |
5.5:
1, 3, 4, 5, 10, 12, 19, 20, 21, 25, 32, 44, 51, 53, 58, 63, 66, 68 |
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26
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6.1
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Computation
of areas |
6.1:
1, 2, 3, 4, 9, 14, 17, 18, 43, 44, 45 |
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27
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5.6
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Logarithm
defined as an integral |
5.6:
1, 3 |
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28
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Catch
up or review for final exam |
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