Math 1a syllabus

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

Michael Hutchings, Fall 2011

Please note that topics listed for a given lecture may be covered in the previous or subsequent lecture.
Homework assignments are from Stewart, Calculus: early transcendentals, sixth edition.
Except where otherwise stated, homework assigned for a Thursday lecture is due at the beginning of discussion section on the following Monday, i.e. four days later. Homework assigned for a Tuesday lecture is due at the beginning of discussion section on Friday, i.e. three days later. If you have a Tuesday/Thursday section, then homework is due in the first section after the regular due date.
For extra practice, the review problems at the ends of the chapters are highly recommended.
You should read each section of the book that appears in the right hand column, ideally before the corresponding lecture. The sections of the book that are omitted in the right hand column (e.g. 1.4) will not be covered in the course, and reading these is optional.
Problem numbers in parentheses indicate bonus problems.

	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