Reed College

MWF 13:10-14:00 in Library 389 [F05]

MWF 15:10-16:00 in Physics 240A [F06]

Syllabus

Office Hours: M 12:00-13:00, T 13:00-14:00, and Th 15:00-16:30 in Library 390; also by appointment

Math Help Center: SuMTWTh 19:00-21:00, in Library 387

Math 111 Tutoring center: TTh 15:00-16:30 in Library 204

*Week 1: 8/29, 8/31, 9/2*- Functions and limits
- Read: §1.1, 1.5, 1.6, 1.8
__HW #0__(due Wednesday, 8/31):- Write down the rigorous definition of the limit

*Week 2: 9/7, 9/9*- Limits and continuity
- Read: §1.7, 1.8
- Handout on epsilon-delta proofs.
__HW #1__(due Wednesday 9/7):- §1.1: 14, 46, 48
- §1.5: 44, 48
- §1.6: 18, 30(a)(b), 36
- §1.8: 8, 32

*Week 3: 9/12, 9/14, 9/16*- Introducing the Derivative
- Read: §2.1-2.3
__HW #2__(due Wednesday 9/14):- §1.7: 20, 38, 44
- §1.8: 2, 60, 90
- Exercises 1-5 and 8 from the handout on epsilon-delta proofs

*Week 4: 9/19, 9/21, 9/23*- More derivatives and more functions
- Read: §1.2, 2.4-3.2
__HW #3__(due Wednesday 9/21):- Exercises 6, 7, and 9 from the handout on epsilon-delta proofs
- §2.1: 20, 24, 26, 38
- §2.2: 12, 32, 44, 54
- §2.3: 4, 6

*Week 5: 9/26, 9/28, 9/30*- The product rule and the chain rule
- Read: §1.3, 3.3-3.4
__HW #4__(due Wednesday 9/28):- §2.3: 22, 36, 40, 48, 60
- §2.4: 28, 33
- §2.5: 1, 14, 26, 30
- §3.1: 12, 22, 30, 42
- §3.2: 2, 6

*Week 6: 10/3, 10/5, 10/7*- The derivatives of trig, hyperbolic, and inverse functions. Practice.
- Read: §1.4, 1.5, 2.5--3.9
__HW #5__(due Wednesday 10/5):- §3.2: 10, 24, 44
- §3.3: 6, 16, 24, 30, 56, 64
- §3.4: 4, 12, 30, 36, 48, 68, 90, 100
- §3.5: 4, 10, 20

*Week 7: 10/10, 10/12, 10/14*- The mean value theorem and its corollaries. Maxima, minima, and optimization.
- Read: §3.10, 4.1-4.3
**MIDTERM EXAM**: take-home exam distributed on 10/12, due in class on 10/14__HW #6__(due Wednesday 10/12):- §3.5: 34, 42, 48, 56, 62
- §3.6: 20, 32, 34, 44, 68
- §3.7: 6, 20, 40
- §3.8: 12, 28, 29
- §3.9: 22(a)(b)(c), 14, 34, 38, 42

*Fall Break*

*Week 8: 10/24, 10/26, 10/28*- Optimization, l'Hôpital's rule, parametric equations
- Read: §4.1-4.3, 4.7, 4.8
- (no homework due this week)
*Week 9: 10/31, 11/2, 11/4*- The definite integral and the fundamental theorem of calculus
- Read: §5.1-5.4
__HW #7__(due Wednesday 11/2):- §3.10: 12, 13, 36
- §4.1: 28, 38
- §4.2: 8, 10, 38, 40
- §4.3: 30, 42, 44, 48
- §4.7: 4, 10, 30, 42, 60
- §4.8: 10, 46
*Week 10: 11/7, 11/9, 11/11*- Calculating anti-derivatives
- Read: §5.4, 6.1-6.3
__HW #8__(due Friday 11/11):- §5.1: 6, 24
- §5.2: 4, 20 (use Riemann sums!), 32, 36, 45, 54, 56
- §5.3: 10, 16, 32
- §5.4: 8, 16, 18, 24
*Week 11: 11/14, 11/16, 11/18*- Numerous integration techniques
- Read: §7.1-7.2
__HW #9__(due Friday 11/18):- §6.1: 8, 22
- §6.2: 38, 42, 50, 56, 60, 76, 82
- §6.3: 16, 22, 42
- §6.4: 24, 38
- §7.1: 4, 14, 26
*Week 12: 11/21, 11/23*- More integration practice, improper integrals
- Read: §7.3-7.4, 7.6
__HW #10__(due Wednesday 11/23):- §7.1: 18, 28, 54, 60, 64, 78, 106
- §7.2: 10, 12, 16, 32
*Week 13: 11/28, 11/30, 12/2*- Improper integrals, trig substitutions, applications
- Read: §7.4, 7.7, 8.1-8.2
__HW #11__(due Wednesday 11/30):- §7.2: 36, 48, 56, 70
- §7.3: 34, 38, 40
- §7.4: 16, 18, 46, 50,
~~60~~, 78 - §7.6: 16, 22, 32, 36
*Week 14: 12/5, 12/7*- More applications, practice
- Read §8.1-8.2, 8.7-8.8
__HW #12__(due Wednesday 12/7):- §7.4: 48, 64
- §7.6: 40, 45, 46
- §7.7: 18
- §8.1: 18
- §8.2: 8, 36, 42
- §8.5: 14
- §8.7: 16
- §8.8: 8, 10, 17