Lectures for Mathematics 111 F01, Fall 202425
 M 9/2: Labor Day
 T 9/3: Preview, start 1.1
 W 9/4: Finish 1.1, start 1.2
 F 9/6: Finish 1.2, start 1.3
go over homework
(1.1 exercises due)
 M 9/9: Finish 1.3
 T 9/10: Start chapter 2,
go over homework
(1.2 exercises due)
 W 9/11: The rational power function, its increasing/decreasing
behavior
 F 9/13: [Add/sectionchange deadline]
Go over homework
(1.3 exercises due)
(first quiz out, due Monday at classtime)
 M 9/16: Cover 2.3: integrate x^{2/3} from 1 to 8
 T 9/17: Discuss 2.4, start 2.5
 W 9/18: Go over homework
(2.1,2.2 exercises due),
finish 2.5, preview homework
 (First quiz optional redo due Thursday,
9/19 at 5pm)
 F 9/20: Go over homework
(2.3 exercises due),
skim 3.1
 M 9/23: Discuss 3.1, skim absolute value and strong approximation
 T 9/24: Definition of sequence limit, five basic sequence limits,
go over homework
(2.4, 2.5 exercises due)
 W 9/25: Example divergent sequences, indexshift irrelevance,
uniqueness of limit
 F 9/27: Generative sequence rules,
go over homework
(3.2 exercises due)
 M 9/30: Geometric series, Inequality Rule, Squeeze Rule,
start integrability
 T 10/1: Definition of integrability, bootstrap result,
go over homework
(more 3.2 exercises due)
 W 10/2: Piecewise monotonic functions, other functions, generative integral rules
 F 10/4: Finish chapter 3,
go over homework
(3.3 exercises due)
(second quiz out, due Monday at classtime)
 M 10/7: [NoW drop deadline]
Start chapter 4, basic and generative function limits
 T 10/8: Continue through 4.2
 W 10/9: Various shapes of the power function, skim Chain Rule,
preview homework
 (Second quiz optional redo due Thursday,
10/7 at 5pm)
 F 10/11: Start chapter 5: basic property of the logarithm,
go over homework
(4.2 exercises due)
 M 10/14: Logarithm properties, logarithmic growth; derivative
of the logarithm
 T 10/15: Integral of the logarithm,
go over homework
(5.1 exercises due)
 W 10/16: Signed integration; area between curves
 F 10/18: Go over homework
(5.2,5.3,5.4 exercises due)
Fall break week
 M 10/28: Start chapter 6: continuity, Intermediate Value
Theorem, nth roots, e
 T 10/29: Definition of exp, properties, raising to real powers
(5.5 exercises not collected)
 W 10/30: Exponential growth, derivative of exp, integral
of exp
 F 11/1: Exp as limit of powers, compound interest,
go over homework
(6.1,6.2 exercises due)
 M 11/4: Start chapter 7: definition of cosine and sine,
basic identities
 T 11/5: More trig identities, derivative of sine and
cosine at 0,
go over homework
(6.4,6.6 exercises due)
 W 11/6: Derivative of cosine and sine, integral of cosine
and sine, other trigonometric functions
 F 11/8: Integrate and differentiate
arccos, go over homework
(7.3,7.4 exercises due)
 M 11/11: [Withdraw/CRNC/leave
deadline]
Start chapter 9, extreme value theorem, optimization storyproblems
 T 11/12: Finish optimization storyproblems,
go over homework
(7.5,7.6,7.7 exercises due),
start optimization
 W 11/13: Mean value theorem and its consequences
 F 11/15: Binomial theorem,
go over homework
(9.1 exercises due)
(third quiz out, due Monday at classtime)
 M 11/18: Skim curvesketching, cover related rates
 T 11/19: Work on 9.1, 9.2 homework
 W 11/20: Start 10.1: indefinite integrals,
antiderivatives, if one i.i. is also an a.d. then every a.d. is an i.i.
 (Third quiz optional redo due Thursday,
11/11 at 5pm)
 F 11/22: Reiterate from Wednesday, prove FTIC1 and FTIC2 follows
go over homework
(9.1,9.2 exercises due)
 M 11/25: 10.1 wrapup, 10.2 basic antidifferentiation, start
10.3 forward substitution
 T 11/26: Finish 10.3 forward substitution,
go over homework
(9.4,10.1 exercises due)
 W 11/27: LotkaVolterra predatorprey equations
 F 11/29: Thanksgiving Holiday
 M 12/2: 10.4 inverse substitution, including integrals
 T 12/3: Finish 10.4 inverse substitution,
go over homework
(10.3 exercises due)
 W 12/4: 10.5 antidifferentiation by parts
 F 12/6: Taylor's theorem: x^n/n!>0, statement of theorem, exp, ln
(10.4 exercises due)
 M 12/9: Taylor's theorem
(10.5 exercises due)
 T 12/10: No meeting (college on Thursday
schedule)
 W 12/11: Course evaluations
(fourth quiz out, due Monday 12/16 at 7pm)
Assignments

Solutions
(at a Google drive)

Course notes

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