September Differential Calculus. Warmup. L Hopital: Riemann Sums and Definite Integrals. MVT for Integrals, Intuition,Symbolic QUIZ 2 DUE
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1 September First day of class QUIZ : Fundamental functions, Express as lin comb Sequences: closed form, differences, 8 9 Limits 0 Antidifferentiation Last day P/F QUIZ 2 Area as the limit of a sum. Sequences: Antidifferentiation 4 Last day drop 00% Differential Calculus Review: Intuition,Symbolic Warmup Riemann Sums and Definite Integrals. Sequences: Area 5 Add/Drop and Audit 6 QUIZ DUE Differential Calculus Review. Intuition,Symbolic Warmup. L Hopital: Geometric 2 3 QUIZ 2 DUE Riemann Sums and Definite Integrals Last day Drop Review. Limits of Sequences again 7 8:00 A Exam 9:30 B Exam 8 Fundamental Theorem 20 Fundamental Theorem for sequences Substitution. Series: Geometric 24 QUIZ 3 Substitution. Sequences: Taylor s Theorem 25 ODE Intro 27 QUIZ 3 DUE MVT for Integrals, Average Value Last day Withdraw Trapezoid Rule. Sequence Average Value
2 October 2002 QUIZ 4 Simpson s Rule 2 Area Between Curves 3 4 QUIZ 4 DUE Volume by Cross-Sections Review. Volume by Cross-Sections 8 8:00 A Exam 2 9:30 B Exam Volume by Shells Volume by Shells. Arc Length, Surface Area 2 Arc Length, Surface Area 5 QUIZ 5 Physical Applications 6 Physical Applications 7 8 Midterm QUIZ 5 DUE Substitution Recap, Tables 20 2 Fall Break Day QUIZ 6 Integration by Parts 23 Midterm Grades Due Integration by Parts. Sequence summation by parts QUIZ 6 DUE Trig Substitution Review. Trig Substitution 8:00 A Exam 3 9:30 B Exam 3 30 Trig Substitution 3
3 November 2002 Partial Fractions Technique Summary QUIZ 7 L Hopital detailed statement: no proof 6 Improper Integrals. SERIES anaolgy 7 8 QUIZ 7 DUE Improper Integrals. Series analogy 9 0 Read Hyperbolic functions. Comparison Tests: Series, Integrals. 2 QUIZ 8 Comparison Tests. 3 Integral Test (as comparison between ints and series). P-Series 4 5 QUIZ 8 DUE Ratio: Integral analog f (x) f(x) Review. Ratio Test 8:00 A Exam 4 9:30 B Exam 4 20 Ratio Test. Root Test 2 Alternating Series Absolute Convergence Conditional Convergence 27 Power Series 28 Thanksgiving Thanksgiving 30
4 December Power Series 3 QUIZ 9 Taylor Series 4 Taylor Series 5 6 QUIZ 9 DUE Taylor Series Taylor Series 0 8:00 A Exam 5 9:30 B Exam 5 Last Day of Classes Overview :00 8:00 FINAL B 7 8 8:00 0:00 FINAL A
5 January First day of class HW HW Intoduction and Logistics Last day to drop 00% HW DUE HW DUE 28 Add/Drop and Audit Last day P/F HW 2 HW Incidence
6 February Last day Drop HW 2 DUE HW 2 DUE Incidence 4 HW 3 HW 3 Models:Projective and Affine Planes 5 Models:Projective and Affine Planes 6 7 Models:Projective and Affine Planes HW 3 Not Graded HW 4 HW 3 Not Graded HW 4 REVIEW 2:00 23A Exam 9:30 300A Exam 2 Models:Projective and Affine Planes Betweenness Last day Withdraw HW 4 DUE HW 4 DUE Betweenness 8 HW 5 HW HW 5 DUE HW 5 DUE 25 HW 6 HW 6 continuity continuity
7 March HW 6 DUE HW 6 DUE Alt Int Angle Theorem 4 HW 7 HW 7 Ext Angle Theorem 5 Measure Theorem 6 7 Equivalents to Euclidean Parallels HW 7 Not Graded HW 8 HW 8 REVIEW 2:00 23A Exam 2 9:30 300A Exam 2 2 Equivalents to Euclidean Parallels Midterm Paper Topics Due Equivalents to Euclidean Parallels Midterm Grades Due HW 8 DUE HW 8 DUE Angle Sum 25 HW 9 HW 9 Angle Sum Hyperbolic Basics Hyperbolic Basics 30 3 HW 9 DUE HW 9 DUE Universal Hyp Theorem
8 April 2003 HW 0 HW 0 Paper Draft Due Common Perpendiculars 2 Common Perpendiculars 3 4 Common Perpendiculars HW HW 0 Not Graded HW REVIEW 8 2:00 23A Exam 3 9:30 300A Exam 3 9 Limiting Parallels 0 Limiting Parallels 2 HW DUE HW DUE Limiting Parallels 5 HW 2 HW 2 Meta Theorem 6 Referee Reports Due Meta Theorem 7 8 Meta Theorem 20 2 HW 2 DUE HW 2 DUE Beltrami-Klein HW 3 HW 3 Beltrami-Klein 23 Poincare Models Final Draft Due Poincare Models HW 3 DUE HW 3 DUE Inversion Inversion 30 Inversion
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