## john a. lind

Reed College

### math 111 calculus // fall 2016

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
• 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
• 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
• 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
• 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.
• 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.
• 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
• (no homework due this week)

• Week 9: 10/31, 11/2, 11/4
• The definite integral and the fundamental theorem of calculus
• 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
• 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
• 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
• 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
• 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