Preliminary lecture schedule for 18.100B/C, Spring 2007 by week.

<ol>
<li> T 2/6 -- F 2/9. Sets and fields, the real numbers <br>
Read Rudin pgs. 1-17
<ul>
<li> (2/6) 
100C/<a href="100B.S1-Lects.html#L1">100B.S1-L1</a>
<li> (2/7) 100B.S2 L1
<li> (2/7) 100C R1
<li> (2/8) 100C/<a href="100B.S1-Lects.html#L2">100B.S1-L2</a> L2
<li> (2/9) 100B.S2 L2
</ul>
<li>  M 2/12 -- F 2/16. Countability, metric spaces <br>
Read Rudin pgs. 24-35.
<ul>
<li> (2/12) 100B.S2 L3
<li> (2/13) 100C/<a href="100B.S1-Lects.html#L3">100B.S1-L3</a> L3
<li> (2/14) 100B.S2 L4
<li> (2/14) 100C R2
<li> (2/15) 100C/<a href="100B.S1-Lects.html#L4">100B.S1-L4</a> L4
<li> (2/16) 100B.S2 L5
</ul>
</li>
<li>  T 2/20 (=M) -- F 2/23. Closed sets, compact spaces <br>
Read Rudin pgs. 34-38.
<ul>
<li> (2/20) 100B.S2 L6
<li> (2/21) 100B.S2 L7
<li> (2/21) 100C R3
<li> (2/22) 100C/<a href="100B.S1-Lects.html#L5">100B.S1-L5</a> L5
<li> (2/23) 100B.S2 L8
</ul>
<li>  M 2/26 -- F 3/2. Compact subsets of Euclidean space <br>
Read Rudin pgs. 38-40.
<ul>
<li> (2/26) 100B.S2 L9
<li> (2/27) 100C/<a href="100B.S1-Lects.html#L6">100B.S1-L6</a> L6
<li> (2/28) 100B.S2 L10
<li> (2/28) 100C R4
<li> (3/1) 100C/<a href="100B.S1-Lects.html#L7">100B.S1-L7</a> L7
<li> (3/2) 100B.S2 L11
</ul>
<li>  M 3/5 -- F 3/9. Completeness, sequences and series. <br>
Read Rudin pgs. 42-43, 47-69, 71-75.
<ul>
<li> (3/5) 100B.S2 L12
<li> (3/6) 100C/<a href="100B.S1-Lects.html#L8">100B.S1-L8</a> L8
<li> (3/7) 100B.S2 L13
<li> (3/7) 100C R5
<li> (3/8) 100C/<a href="100B.S1-Lects.html#L9">100B.S1-L9</a> L9
<li> (3/9) 100B.S2 L14
</ul>
<li>  M 3/12 -- F 3/16. Completeness, sequences and series. <br>
Read Rudin pgs. 42-43, 47-69, 71-75.
<ul>
<li> (3/12) 100B.S2 L15
<li> (3/13) 100C/<a href="100B.S1-Lects.html#L10">100B.S1-L10</a> L10
<li> (3/14) 100B.S2 L16
<li> (3/14) 100C R6
<li> (3/15) 100C/<a href="100B.S1-Lects.html#L11">100B.S1-L11</a> L11
<li> (3/15) 100B and C, Test 1: 7:30-8:30 PM, Rooms 4-149, 4-153, 4-163.
<li> (3/16) 100B.S2 L17
</ul>
<li>  M 3/19 -- F 3/23. Continuity and compactness. <br>
Read Rudin pgs. 85-93.
<ul>
<li> (3/19) 100B.S2 L18
<li> (2/20) 100C/<a href="100B.S1-Lects.html#L12">100B.S1-L12</a> L12
<li> (3/21) 100B.S2 L19
<li> (3/21) 100C R7
<li> (3/22) 100C/<a href="100B.S1-Lects.html#L13">100B.S1-L13</a> L13
<li> (3/23) 100B.S2 L20
</ul>
<li>  M 4/2 -- F 4/6. Differentiability, Mean value
theorem. <br>
Read Rudin pgs. 103-110.
<ul>
<li> (4/2) 100B.S2 L21
<li> (4/3) 100C/<a href="100B.S1-Lects.html#L14">100B.S1-L14</a> L14
<li> (4/4) 100B.S2 L22
<li> (4/4) 100C R8
<li> (4/5) 100C/<a href="100B.S1-Lects.html#L15">100B.S1-L15</a> L15
<li> (4/6) 100B.S2 L23
</ul>
<li>  M 4/9 -- F 4/13. Taylor series, Riemann-Stieltjes integral.<br>
Read Rudin pgs. 120-127.
<ul>
<li> (4/9) 100B.S2 L24
<li> (4/10) 100C/<a href="100B.S1-Lects.html#L16">100B.S1-L16</a> L16
<li> (4/11) 100B.S2 L25
<li> (4/11) 100C R9
<li> (4/12) 100C/<a href="100B.S1-Lects.html#L17">100B.S1-L17</a> L17
<li> (4/13) 100B.S2 L26
</ul>
<li>  W 4/18 -- F 4/20. Integrability,  fundamental theorem of calculus. <br>
Read Rudin pgs. 128-136.
<ul>
<li> (4/18) 100B.S2 L27
<li> (4/18) 100C R10
<li> (4/19) 100C/<a href="100B.S1-Lects.html#L18">100B.S1-L18</a> L18
<li> (4/20) 100B.S2 L28
</ul>
<li>  M 4/23 -- F 4/27. Sequences of functions. <br>
Read Rudin pgs. 143-151.
<ul>
<li> (4/23) 100B.S2 L29
<li> (4/24) 100C/<a href="100B.S1-Lects.html#L19">100B.S1-L19</a> L19
<li> (4/25) 100B.S2 L30
<li> (4/25) 100C R11
<li> (4/26) 100C/<a href="100B.S1-Lects.html#L20">100B.S1-L20</a> L20
<li> (4/27) 100B.S2 L31
</ul>
<li>  M 4/30 -- F 5/4. Uniform convergenece. <br>
Read Rudin pgs. 150-154.
<ul>
<li> (4/30) 100B.S2 L32
<li> (5/1) 100C/<a href="100B.S1-Lects.html#L21">100B.S1-L21</a> L21
<li> (5/2) 100B.S2 L33
<li> (5/2) 100C R12
<li> (5/3) 100C/<a href="100B.S1-Lects.html#L22">100B.S1-L22</a> L22
<li> (5/4) 100B.S2 L34
</ul>
<li>  M 5/7 -- F 5/11. Uniform convergence, equicontinuity.
    <br>
Read Rudin pgs. 150-161.
<ul>
<li> (5/7) 100B.S2 L35
<li> (5/8) 100C/<a href="100B.S1-Lects.html#L23">100B.S1-L23</a> L23
<li> (5/9) 100B.S2 L36
<li> (5/9) 100C R13
<li> (5/10) 100C/<a href="100B.S1-Lects.html#L24">100B.S1-L24</a> L24
<li> (5/11) 100B.S2 L37
</ul>
<li>  M 5/14 -- T 5/17. Power series, fundamental theorem of
algebra. <br>
Read Rudin pgs.83-86, 180-185.
<ul>
<li> (5/14) 100B.S2 L238
<li> (5/15) 100C/<a href="100B.S1-Lects.html#L25">100B.S1-L25</a> L25
<li> (5/16) 100B.S2 L39
<li> (5/16) 100C R14
<li> (5/17) 100B.S1/100C L26
</ol>