Exam InformationFinal Exam: Tuesday 05022017
When: 1:00pm  3:00pm 
When  MWF 12:301:20 
Where  REC 121 
Text  An Introduction to Real Analysis (4th Edition) by Bartle and Sherbert 
Office  Math 744 
Office Phone  4941958 
catlind@purdue.edu  
Office Hours  M 9:3010:30 
W 10:3011:30  
Th 9:3010:30  
or by appointment 


Mon  01092017  Lecture 1
Preliminaries 
Wed  01112017  Lecture 2
Mathematical Induction 
Fri  01132017  Lecture 3
Finite & Infinite Sets 
Wed  01182017  Lecture 4
Properties of the Real Numbers 
Wed  01202017  Lecture 5
Absolute Value 
Fri  01232017  Lecture 6
Least Upper Bounds 
Wed  01252017  Lecture 7
Completeness Property & Intervals 
Fri  01272017  Lecture 8
Sequences 
Mon  01302017  Lecture 9
Limit Laws 
Wed  02012017  Lecture 10
Monotone Sequences 
Fri  02032017  Lecture 11
BolzanoWeierstrass Theorem 
Mon  02062017  Lecture 12
The Cauchy Criterion 
Wed  02082017  Lecture 13
Properly Divergent Sequences 
Fri  02102017  Lecture 14
Infinite Series 
Mon  02132017  Lecture 15
Limits of Functions 
Wed  02152017  Lecture 16
Limit Theorems 
Fri  02172017  Exam 1 Review
Study Guide Problems 
Mon  02202017  Lecture 17
Extensions of Limits 
Wed  02222017  Lecture 18
Infinite Limits 
Fri  02242017  Lecture 19
Combinations of Continuous Functions (updated) 
Mon  02272017  Lecture 20
Continuous Functions on Intervals 
Wed  03012017  Lecture 21
Uniform Continuity 
Fri  03032017  Lecture 22
The Derivative 
Mon  03062017  Lecture 23
Mean Value Theorem 
Wed  03082017  Lecture 24
L'Hopital's Rule 
Mon  03202017  Lecture 25
The Darboux Integral 
Wed  03222017  Lecture 26
The Darboux Integral (cont') 
Fri  03242017  Lecture 27
Taylor Series 
Mon  03272017  Lecture 28
Fundamental Theorem of Calculus 
Wed  03292017  Lecture 29
Solutions of Differential Equations 
Fri  03312017  Lecture 30
Differential Equations (cont') 
Mon  04032017  Lecture 31
Complex Numbers 
Wed  04052017  Exam 2 Review
Study Guide Problems 
Mon  04102017  Lecture 32 (coming soon)
Fundamental Theorem of Algebra 
Wed  04122017  Lecture 33
Three Theorems 
Fri  04142017  Lecture 34
Newton's Method 
Mon  04172017  Lecture 35
Taylor's Theorem (cont') 
Wed  04192017  Lecture 36
Coming soon ... 
Fri  04212017  Lecture 37
Convergence of Power Series 
Wed  04262017  Lecture 38
Review Problems for Final Exam 
Fri  04282017  Lecture 39
Convergence of Power Series 
Homework #1:
Due Wednesday 01182017 pages 1011: #2, #5a, #14, #16, #24 pages 1516: #1, #6, #10, #15, #18 
Homework #2:
Due Wednesday 01252017 page 22: #5, #10, #11c pages 3031: #2, #6, #9, #15, #18 pages 3536: #1, #6, #9a, #18a 
Homework #3:
Due Wednesday 02012017 page 39: #1, #3, #4 page 40: #5a, #5b, #7 page 44: #1 page 46: #14, #18, #19 
Homework #4:
Due Wednesday 02082017 page 62: #6c, #6d, #8, #12, #16, #18 pages 6970: #4, #6b, #6d, #7, #12 page 77: #1, #3, #7, #11, #12 
Homework #5:
Due Wesnesday 02152017 page 84: #7b, #7d, #9, #12 page 91: #5, #8, #9 pages 9394: #1, #3, #4c, #4d, #10 
Homework #6:
Due Wednesday 03082017 page 101: #6, #11, #12, #13 page 110: #7, #11, #15 page 116: #3, #5, #9, #10 
Homework #7:
Due Monday 03272017 page 123: #5g, #5h, #9, #11 page 129: #6, #7, #11, #12 page 134: #8, #10, #11 page 140: #1, #13 page 148: #2, #11 
Homework #8:
Due Wednesday 04192017 page 171: #9, #10, #14, #16 page 179: #6, #11, #13 pages 187188: #6, , #7, #8b, #8c, #11a, #11b, #12 
