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
  • 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