2 | Calendar | ||||||||
---|---|---|---|---|---|---|---|---|---|
3 | WEEK | DAY | TOPICS | RESOURCES | HOMEWORK | EXTRA PROBLEMS | |||
4 | Next class: | #N/A | #N/A | #N/A | #N/A | #N/A | #N/A | #N/A | |
5 | 1 | 1/25 | Introductions (maybe) some review of u-sub | ||||||
6 | 1/27 | review of u-sub (1.5) Integration by parts (3.1) | table of antiderivatives | graphs to know | HW1 (due 2/3) | solns | 1.5: 271, 272, 275, 277, 279, 284, 293, 296, 297, | ||
7 | 1/29 | Integration by parts (3.1) | 3.1: 9, 10, 12, 21, 27, 28, 38, 39, 42, 55 | ||||||
8 | 2 | 2/1 | Improper integrals type 1 (3.7) | improper ints summary | |||||
9 | 2/3 | Improper integrals type 2 (3.7) | HW2 (due 2/10) | solns | 3.7: 351, 356, 357, 358, 359, 363, 386, 387, 396 | ||||
10 | 2/5 | Trig ints/Trig substitution (3.2/3.3) | 3.2: 81, 82, 83, 85, 106, 108 | ||||||
11 | 3 | 2/8 | Trig substitution (3.3) | 3.3: 138, 139, 145, 146, 162, 163, 169 | |||||
12 | 2/10 | Direct comparison test (3.7) | HW3 (due 2/26) | solns | |||||
13 | 2/12 | Asymptotics & little-o | asymptotics | comparison tests extra problems | |||||
14 | 4 | 2/15 | ERCOTastrophe: NO CLASS | ||||||
15 | 2/17 | NO CLASS | |||||||
16 | 2/19 | ERCOTastrophe: NO CLASS | |||||||
17 | 5 | 2/22 | Asymptotics & little-o pt. 2 | midterm 1 review problems | midterm 1 review solns | ||||
18 | 2/24 | Partial Fractions (3.4) | 3.4: 182, 183, 184, 187, 194, 199, 209, 212, 217 | ||||||
19 | 2/26 | REVIEW | Sequences (asynchronous) | HW4 (due 3/8) | solns | 5.1: 27, 28, 30, 32, 33, 35, 46, 49, 50, 51, 52, | |||
20 | 6 | 3/1 | NO CLASS | ||||||
21 | 3/3 | Sequences, MCT (5.1) | |||||||
22 | 3/4 | MIDTERM EXAM 1 | MIDTERM 1 SOLUTIONS | ||||||
23 | 3/5 | Intro to Series (5.2) Divergence Test (5.3) | 5.2: 69, 72, 73, 74, 75, 76, 78, 83, 85, 129 | ||||||
24 | 7 | 3/8 | Geometric Series (5.2) Telescoping Series (5.2) | HW5 (due 3/15) | solns | 5.2: 90, 91, 92, 101, 104, 105, 106, 130, 134, 135, 136, | |||
25 | 3/10 | Harmonic & P-series, Integral test (5.3) | 5.3: 153, 155, 156, 160, 164, 165 | ||||||
26 | 3/12 | Integral test remainder (5.3) | 5.3: 170, 172, 175, 176, 180, 190, 193 | ||||||
27 | 8 | 3/15 | Integral test examples (5.3) Comparison Tests (5.4) | HW6 (due 3/24) | solns | 5.4: 205, 207, 211, 212, 215, 224, 227, | |||
28 | 3/17 | Alternating series test/remainder (5.5) | 5.5: 253, 255, 262, 263, 266, 275, 276, 281, 293, 294, 303 | ||||||
29 | 3/19 | Conditional & absolute convergence (5.5) | |||||||
30 | 9 | 3/22 | Ratio test (5.6) | 5.6: 322, 323, 325, 327, 345, 364, 366, 368, 370, | |||||
31 | 3/24 | Intro to power series Power series basics (6.1) | summary of convergence tests | HW7 (due 3/31) | solns | 6.1: 1, 2, 3, 4, 5, 7, 8, 9, 10, 13, 14, 34, 35, 42 | |||
32 | 3/26 | NO CLASS | |||||||
33 | 10 | 3/29 | Properties of power series (6.2) | ||||||
34 | 3/31 | Properties of power series (6.2) Taylor Series (6.3) | HW8 (due 4/7) | solns | 6.2: 65, 87, 88, 89, 90, 95, 97, 98, 99, 113 115 | ||||
35 | 4/2 | Taylor series (6.3) | Midterm 2 review problems | Midterm 2 rev solutions | |||||
36 | 11 | 4/5 | Taylor polynomials (6.3) | 6.3: 116, 118, 120, 123, 141, 144, 160, 161, 162, 163 | |||||
37 | 4/7 | Taylor series remainder (6.3) | HW9 (due 4/14) | solns | 6.3: 125, 126, 130, 131, 132, 135, 136, 164, 168 | ||||
38 | 4/9 | Power series applications (computing gross limits, high order derivatives) | |||||||
39 | 12 | 4/12 | Parametric Equations (7.1) | 7.1: 1, 6, 7, 8, 10, 12, 21, 27 | |||||
40 | 4/13 | MIDTERM EXAM 2 | MIDTERM 2 SOLUTIONS | ||||||
41 | 4/14 | Cycloid example (7.1) derivatives of parametrics (7.2) | HW10 (due 4/21) | solns | 7.2: 66, 68, 69, 72, 74, 79, 88, 89 | ||||
42 | 4/16 | Parametrics: tangents and arc length (7.2) | 7.2: 109, 110, 112, 114, 115 | ||||||
43 | 13 | 4/19 | Polar Coordinates and functions (7.3) | 7.3: 125, 128, 130, 132, 133, 134, 135, 136, 139, 141, 154, 155 | |||||
44 | 4/21 | Polar symmetry (7.3) Identifying polar curves (7.3) | HW11 (due 4/28) | solns | 7.3: 149, 150, 153, 158, 160, 163, 164, 182, 184 | ||||
45 | 4/23 | Polar curve area and arc length (7.4) | 7.4: 188, 190, 191, 197, 201, 202, 204, 214, 215, 217, 219, 220 | ||||||
46 | 14 | 4/26 | Polar curve area (examples) | complex numbers | |||||
47 | 4/28 | Complex numbers (arithmetic, polar form) | HW12 (not due) | solns | |||||
48 | 4/30 | Complex numbers (Euler's formular, exponents and roots) | Final Exam review problems |