Week | Argument | Sections | HWs |
1st | Precalculus review and limits | 1.5, 1.6, 1.7, 1.8 2.1, 2.2 | 1.5/5,7,11,16,30,37,48,54,71 1.7/4,12,28,45,52 2.1/2,5,13,18,31,37 |
2nd | Limit Theorems and continuity | 2.2, 2.3, 2.4, 2.5, 2.6 | 2.2/1,7,9,21,22,25,41,52 2.3/5,10,11,17,18,29,35 2.4/3,6,10,13,14,17,21,29,31,32 |
3rd | Derivatives, rates of change, chain rule | 3.1, 3.2, 3.3, 3.4, 3.5 | 3.1/3, 4, 12, 26, 31, 35 3.2/3, 11, 13, 15, 33 3.3/2, 5, 27, 33, 45, 47 3.4/1, 3, 7, 14 3.5: 3, 11, 13, 21, 23, 33 68 |
4th | Trig dervatives, implicit differentiation | 3.6, 3.7 | 3.6: 5, 15, 21, 23, 32, 61, 72 3.7: 3, 5, 13, 14, 16 |
5th | Real number, completeness. Sequences and their limit. L'Hospital's rule. | 11.1, 11.2,11.3 | 11.1/1,5,10,15,16 11.2/1,5,9,11,29,35,41,47,49,51 11.3/1-5,7,9,15,17,21,31,54 |
6th | The Mean Value Theorem. Increasing/deacreasing functions. Local/global extrema | 4.1, 4.2, 4.3, 4.4, 4.5 | 4.1/1,3,7,9,12,14,16,17,23,29 4.2/1,3,5,14,15,21,23,33,35,39 |
7th | Curves sketching. Introduction to integration, antiderivatives. | 4.6, 4.7, 4.8, 5.1, 5.2, 5.3 | 4.5/3,11,15,25,29,41,55 4.6/1,3,7,9,11,19 4.7/1,2,3,5,7,9,13,19,21,23,25,29,37,39 4.8/3,5,9,11,21,22,39,41 4.11/3,4,19 |
8th | Foundamental Theorem of Calculus, areas, indefinite integrals | 5.4, 5.5, 5.6 | 5.2/1,3,5,19 5.3/1,3,5,11,17,21,25,29 5.4/1,5,9,21,25,29,35,39,41,43,45,50,53 5.5/3,5,9,11,13,17,19,29 5.6/1,5,9,15,19,23,37,39 |
9th | More on integrals, areas and volumes. | 5.7, 5.8, 5.9, 6.1, 6.2 | 5.7/1,3,5,7,9,21,23,25,41,43,49, 55,57,59,65,67, 69,83 5.8/1-4,7,9,10,11,17,21,23 5.9/1,3,5,15,25 |
10th | Applications of integrals. Inverse functions. | 6.3, 6.4, 6.5, 7.1 | 6.1/1,3,5,7,27,31,35 6.2/1,3,5,9,17,21,25,27 6.3/1,3,5,9,13,15,17 6.4/1,3,5,7,15 6.5/7,9,13 |
11th | Logarith, exponentials, hyperbolic and applications. | 7.2, 7.3, 7.4, 7.5, 7.6, 7.7 | 7.1/1,5,7,13,21,27,31,33,37,39,49
7.2/11,13,17,18,19,22 7.3/1,5,7, 15,17,19,21,25,37,39,41 |
12th | Review of functions. Integration by part. Trig. functions. | 8.1, 8.2, 8.3 | 7.4/1-15odd,21,23,25,29-35odd,43,45,47 7.6/1,7 |
13th | Square roots, rational funtions and partial fractions. | 8.4, 8.5 | 8.1/13,15,52 8.2/1,5,7,9,11,13,19,23,46,47,73,78 8.3/1,3,5,7,11,19 |
14th | Numerical integration. | 8.7 | 8.4/1,3,5,7, 9,11,13,15,19,26 8.5/1,3,5,7,8,9,11,13,17,19,21,31,32 |
15th | Numerical methods and software. | Supplementary notes | |
16th | Complex Numbers. | Supplementary notes |