Math 111
Course Syllabus
BC = Brief Calculus
TOTC=Tour of the Calculus
Unit 1: Rates, Functions, Linear Functions and Slope (week 1)
BC 1.1, 1.2, 1.3
TOTC Chap 1
Historical Interlude: Archimedes, Eudoxus and the Real Numbers (week 2)
TOTC: Chaps 2-9
Unit 2: Exponential, Power Functions and Concavity (week 3)
BC: 1.5, 1.6
TOTC: Chaps 10, 11
Unit 3: The Derivative (weeks 4-5)
BC: 2.1, 2.2, 2.3, 2.4, 2.5
TOTC: Chaps 16, 17
MIDTERM EXAM #1 (Weds, October 2)
Historical Interlude: Newton and Leibniz (week 6)
Readings Distributed
FALL BREAK
Unit 4: The Integral (weeks 8-9)
BC 3.1, 3.2, 3.3, 3.4,3.5
TOTC Chaps 21,22,23
MIDTERM EXAM #2 (Weds, November 6)
Historical Interlude: Cauchy And Bolzano (week 10)
TOTC:Chaps 14, 15
Unit 5: Derivative Shortcuts (week 11)
BC: 5.1, 5.2, 5.3, 5.4
Historical Interlude: 20th Century and the Loss of Certainty (week 12)
Readings Distributed
Unit 6: Applications (week 13)
BC: 6.1, 6.2, 6.4
Historical Interlude: Certainty Regained (somewhat) (week 14)
Readings Distributed
Unit 7: Fractals (week 14)
Readings Distributed