Lectures for Mathematics 112, Fall 201718 (tentative)
 M 8/28: Overview
 T 8/29: Skim through Ch1
 W 8/30: Start 2.1: Binary operators, identity, inverses, associativity
 F 9/1: Go over homework
 M 9/4: Labor Day Holiday
 T 9/5: Continue through field axioms, some of their consequences
 W 9/6: Go over homework
 F 9/8: [Add/sectionchange deadline]
Subtraction and division
 M 9/11: Finish 2.5, start order
 T 9/12: Go over homework, start inequalities
 W 9/13: Finish inequalities, start absolute value
 F 9/15: Finish absolute value; inductive sets, the natural numbers
of a field
 M 9/18: Induction theorem, addition and multiplication in the
integers of a field, no natural number between 0 and 1
 T 9/19: Least Integer Principle; no square root of 2 in the
rational field
 W 9/20: Recursive definitions, a^{m+n} = a^m a^n for all natural
n,m,
go over homework
 F 9/22: The integers and rational numbers of a field; finish 3.3
 M 9/25: 3.4; skim 3.5; Catalan numbers by grid; pirates
 T 9/26: 4.1
 W 9/27: Go over homework, start binary search
 F 9/29: More binary search
 M 10/2: [NoW drop deadline]
More binary search, finish 5.2
 T 10/3: Go over homework, most of 5.3
 W 10/4: Redo pth roots, rational exponents
 F 10/6: Go over homework, start complex numbers
 M 10/9: Through end of 6.3
 T 10/10: Rest of Ch6; picture of stereographic projection
 W 10/11: 7.1, go over homework
 F 10/12: Convergence, null sequences, dull sequences
 Fall break week
 M 10/23: More null sequences
 T 10/24: Results on null sequences
 W 10/25: Convergence results through the reciprocal rule
 F 10/27: Preview homework; start geometric series
 M 10/30: Geometric series; translation; golden ratio as continued
fraction
 T 10/31: Quote {n^{1/n}}>1; start continuity
 W 11/1: Most of 8.2
 F 11/3: Start limit of a function
 M 11/6: [Withdraw/leave deadline]
Limit of a function; start Ch9
 T 11/7: Intermediate Value Theorem; Extreme Value Theorem
 W 11/8: Start derivatives
 F 11/10: Chain rule; start 10.2
 M 11/13: Finish 10.2 up to 10.31; skim 10.3
 T 11/14: Start series: nth term test, harmonic series diverges
 W 11/15: ptest, comparison test, {t^n/n!} summable
 F 11/17: Limitcomparison, ratio test, alternating series test
 M 11/20: Absolute convergence implies convergence,
go over homework,
18th century calculation
 T 11/21: Power series, radius of convergence
 W 11/22: Differentiation theorem; start exp(z)
 F 11/24: Thanksgiving Holiday
 M 11/27: More on the exponential function
 T 11/28: Exponential and trigonometric functions via power series
 W 11/29: Geometry of exp(z)
 F 12/1: Geometry of sine, zeta(s) for negative integers s
 M 12/4: Series for cotangent; cos(72deg)
 W 12/6: Comments on the Differentiation Theorem, summary
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