Math 1a: Schedule of lectures, homework assignments, and exams

Michael Hutchings, Fall 2011

  Date Topic Homework
1 Aug 25 Introduction; functions 1.1: 1,5,7,30,39,45,48,57,64,65
2 Aug 30 New functions from old functions 1.2: 3,4,8,13,17,19,20 1.3: 3,5,27,29,31
3 Sep 1 Exponential functions 1.3: 37,41,51,59,62,65 1.5: 1,13,15,17,18,20,25 (due 9/7 because 9/5 is a holiday)
4 Sep 6 Inverse functions and logarithms 1.6: 5,7,9,11,21,25,35,37,47,49,57,59,61,65
5 Sep 8 Introduction to limits 2.1: 1,3,5,7 2.2: 2,4,5,6,10,12,13,21,25,40
6 Sep 13 Limit rules 2.3: 1,2,3,11,13,23,29,35,39,43,55,59
7 Sep 15 The precise definition of limit 2.4: 1,3,11,14,15,19,24,26,27,(36).
8 Sep 20 Continuity, limits at infinity 2.5: 9,15,27,37,41,47,(60) 2.6: 3,15,23,29,33,39.
9 Sep 22 Introduction to derivatives I 2.7 5,11,13,18,25,29,31,45,51,52
10 Sep 27 Introduction to derivatives II 2.8: 3, 21, 25, 27, 35, 41, 49, 55
11 Sep 29 Derivative rules I 3.1: 3,7,11,15,19,23,27,31,33,55,75,77 (due 10/7 to allow time to study for the midterm)
* Oct 4 Midterm #1, in class, covers lectures 1-10
12 Oct 6 Derivative rules II 3.2: 1,3,5,27,31,46,55 3.3: 1,11,17,21,33
13 Oct 11 The chain rule 3.4: 1,5,11,13,25,47,51,63,75,90 3.5: 3,7,11
14 Oct 13 Exponential growth 3.5: 17,25,57 3.6: 3,15,43,(52) 3.8: 3,10,15
15 Oct 18 Related rates, linear approximation 3.9: 1,7,15,27,37 3.10: 1,3,23,27,35
16 Oct 20 Maxima and minima 4.1: 49,51,53,55,57,59,61
17 Oct 25 Mean value theorem; derivatives and graphs 4.2: 1,5,17,23,29 4.3: 33,35,45,53,75
18 Oct 27 L'Hospital's rule; more about graphs 4.4: 5,17,21,31,59,69,79 4.5: 7,13,37,49
19 Nov 1 Optimization 4.7: 3,11,17,19,35,37,42
20 Nov 3 Newton's method; antiderivatives 4.8: 3,5,(17),30a,(30b) 4.9: 2,21,23,49,50,53,75 (due 11/9)
21 Nov 8 Review for midterm No homework
* Nov 10 Midterm #2, in class, covers lectures 1-20, mainly 11-20
22 Nov 15 Introduction to integrals 5.1: 13,21,26 5.2: 1,21,33,35,53,57
23 Nov 17 Fundamental theorem of calculus 5.3: 3,7,19,23,27,35,43,53,65
24 Nov 22 Indefinite integrals 5.4: 3,5,29,41,43,48,57,59,62. (due 11/30 because 11/24 and 11/25 are holidays)
25 Nov 29 Substitution 5.5: 3,7,9,19,27,31,43,51,75,81
26 Dec 1 Area and volume 6.1: 1,3,9,13,31 6.2: 7,9,41,49 6.3: 1,46
* Dec 6 Optional review session
* Dec 16 Final exam, 7:00-10:00 PM, location TBA covers entire course