### 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)