Lectures for Mathematics 111 F04, Fall 2020-21

  • Monday, 8/31: Preview, start 1.1
  • Tuesday, 9/1: Finish 1.1, start 1.2
  • Wednesday, 9/2: Finish 1.2, start 1.3
  • Friday, 9/4: Finish 1.3, go over homework

  • Monday, 9/7: Labor Day Holiday
  • Tuesday, 9/8: Start chapter 2
  • Wednesday, 9/9: More chapter 2
  • Friday, 9/11: [Add/section-change deadline] Go over homework (first quiz out, due Monday at classtime)

  • Monday, 9/14: Cover 2.3: integrate x^{2/3} from 1 to 8
  • Tuesday, 9/15: Discuss 2.4
  • Wednesday, 9/16: Go over homework, cover 2.5, preview homework
  • (First quiz optional redo due Thursday, 9/17 at 5pm)
  • Friday, 9/18: Ending chapter 2 remarks, preview homework, skim 3.1

  • Monday, 9/21: Discuss 3.1, skim absolute value and strong approximation
  • Tuesday, 9/22: Definition of sequence limit, five basic sequence limits
  • Wednesday, 9/23: Example divergent sequences, index-shift irrelevance, uniqueness of limit
  • Friday, 9/25: Generative sequence rules, go over homework

  • Monday, 9/28: Geometric series, Inequality Rule, Squeeze Rule, start integrability
  • Tuesday, 9/29: Definition of integrability, bootstrap result
  • Wednesday, 9/30: Piecewise monotonic functions, other functions, generative integral rules
  • Friday, 10/2: Finish chapter 3, go over homework (second quiz out, due Monday at classtime)

  • Monday, 10/5: [No-W drop deadline] Start chapter 4, basic and generative function limits
  • Tuesday, 10/6: Continue through 4.2
  • Wednesday, 10/7: Various shapes of the power function, skim Chain Rule, preview homework
  • (Second quiz optional redo due Thursday, 10/8 at 5pm)
  • Friday, 10/9: Start chapter 5: basic property of the logarithm,

  • Monday, 10/12: Logarithm properties, logarithmic growth; derivative of the logarithm
  • Tuesday, 10/13: Integral of the logarithm
  • Wednesday, 10/14: Signed integration; area between curves
  • Friday, 10/16: Go over homework

  • Monday, 10/19: Start chapter 6: continuity, Intermediate Value Theorem, nth roots, e
  • Tuesday, 10/20: Definition of exp, properties, raising to real powers
  • Wednesday, 10/21: Exponential growth, derivative of exp, integral of exp
  • Friday, 10/23: Exp as limit of powers, compound interest, go over hw

  • Monday, 10/26: Start chapter 7: definition of cosine and sine, basic identities
  • Tuesday, 10/27: More trig identities, derivative of sine and cosine at 0
  • Wednesday, 10/28: Derivative of cosine and sine, integral of cosine and sine
  • Friday, 10/30: Go over homework

  • Monday, 11/2: [Withdraw/leave deadline] Chapter 7 wrap-up: review integration of arccos and differentiate arccos, start chapter 9, extreme value theorem
  • Tuesday, 11/3: Go over homework, start optimization
  • Wednesday, 11/4: Optimization story-problems
  • Friday, 11/6: Go over homework, binomial theorem (third quiz out, due Monday at classtime)

  • Monday, 11/9: Mean value theorem and its consequences
  • Tuesday, 11/10: Curve-sketching
  • Wednesday, 11/11: Go over homework
  • (Third quiz optional redo due Thursday, 11/12 at 5pm)
  • Friday, 11/13: Related rates story-problems

  • Monday, 11/16: Start Fundamental Theorem
  • Tuesday, 11/17: More Fundamental Theorem; go over homework
  • Wednesday, 11/18: Basic antidifferentiation
  • Friday, 11/20: (no meeting)

    Thanksgiving Holiday

  • Monday, 11/30: Forward substitution
  • Tuesday, 12/1: More forward substitution, including integrals
  • Wednesday, 12/2: Inverse substitution; go over homework
  • Friday, 12/4: Antidifferentiation by parts; go over homework

  • Monday, 12/7: Wrap-up (fourth quiz out, due Friday at noon)

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