Math 3333: Intermediate Analysis, Fall 2018
Basic Info
Assignments
Final Exam, Monday, December 10, 11AM--2PM in our usual classroom
Suggested Problems -- Not to be Turned In
These are good practice problems to help you prepare for the final exam:
Ch. 6, Sec. 2, #5 (a), (b), (f), #17
Ch. 6, Sec. 3, #3 (a), (c), (e), #5
Ch. 7, Sec. 1, #5, #6, #8, #10
Ch. 7, Sec. 2, #5, #6, #8, #13, #19
Ch. 7, Sec. 3, #5(a), (b), (c), (d), #7, #11, #12, #13
NONE of these problems are to be turned in or graded. They are only listed as suggested
problems to help you as you study the material.
Reading Assignment #14, to be done prior to class on Friday, November 16
Read Chapter 7, Sec. 3 The Fundamental Theorem of Calculus
Reading Assignment #13, to be done prior to class on Monday, November 12
Read Chapter 7, Sec. 2 Properties of the Riemann Integral
Reading Assignment #12, to be done prior to class on Friday, November 9
Read Chapter 7, Sec. 1 The Riemann Integral
Reading Assignment #11, to be done prior to class on Wednesday, November 7
Read Chapter 6, Sec. 3 l'Hospital's Rule, Sec. 4 Taylor's Theorem
Quiz 5, Friday, November 2
Suggested Problems -- Not to be Turned In
These are good practice problems to help you prepare for your quiz on Friday:
Ch 6, Sec. 1, #2, #3(a)(b), #5, #6(a)--(d), #7, #8, #9, #12, #17, #18, #19
NONE of these problems are to be turned in or graded. They are only listed as suggested
problems to help you as you study the material.
Reading Assignment #10, to be done prior to class on Friday, November 2
Read Chapter 6, Sec. 1 The Derivative, Sec. 2 The Mean Value Theorem
Exam 2, Friday, October 26
Reading Assignment #9, to be done prior to class on Wednesday, October 24
Read Chapter 5, Sec. 4 Uniform Continuity (Note: We will be skipping Ch. 5, Section 5 and moving on to Ch. 6 after Exam 2.)
Reading Assignment #8, to be done prior to class on Monday, October 22
Read Chapter 5, Sec. 3 Properties of Continuous Functions
Quiz 4, Friday, October 19
Solutions to Quiz #4
Suggested Problems -- Not to be Turned In
These are good practice problems to help you prepare for your quiz on Friday:
Ch 5, Sec. 1, #5, #6; Sec. 2, #4, #6, #9, #16, #18
Additionally, these are good practice problems as you prepare for Exam 2 on Oct. 26:
Ch 5, Sec. 3, #1 #2, #3, #4, #7, #8, #13; Sec. 4, #1, #2, #3(a)--(d), #4(b), #5, #8(a)(b), #15
NONE of these problems are to be turned in or graded. They are only
listed as suggested problems to help you as you study the material.
Reading Assignment #7, to be done prior to class on Friday, October 12
Read Chapter 5, Sec. 1 Limits of Functions and Sec. 2 Continuous Functions
Homework #6, Due Friday, October 12
Ch.4, Sec. 2 #11, #16; Ch.4, Sec. 3 #7, #15; Ch.4, Sec. 4 #13(a)
(10 points total, 2 points each)
Reading Assignment #6, to be done prior to class on Monday, October 8
Read Chapter 4, Sec. 3 Monotone Sequences and Cauchy Sequences and Sec. 4 Subsequences
Quiz 3, Friday, October 5
Solutions to Quiz #3
Homework #5, Due Friday, September 28
Ch.4, Sec. 1, #6(c), #7(c)(d)(f), #8(b), #9(a)(b)(c), #10(b), #17
Reading Assignment #5, to be done prior to class on Wednesday, September 26
Read Chapter 4, Sec. 1 Convergence and Sec. 2 Limit Theorems
Exam 1, Friday, September 21
Homework #4, Due Friday, September 21
Ch.3, Sec. 4, #15, #17, #19, #20, #21, #24(a)(b);
Ch.3, Sec. 5, #3(a)(c)(d)(e), #5(a)(b), #12 (Note: #24(a)(b) and #3(a)(c)(d)(e)
and #5(a)(b) worth 0.5 points each, all others 1 point each.)
Reading Assignment #4, to be done prior to class on Monday, September 17
Read Chapter 3, Sec. 5 Compact Sets
Quiz 2, Friday, September 14
Solutions to Quiz #2
Reading Assignment #3, to be done prior to class on Monday, September 10
Read Chapter 3, Sec. 3 The Completeness Axiom and Sec. 4 Topology of the Real Numbers
Homework #3, Due Friday, Sept. 7
Ch.3, Sec. 2, #6(a)(b)(c)
Ch.3, Sec. 3, #3(h)(j)(k)(l), #5, #7(a)(b), #12(a)(b) (Note: #3(h)(j)(k)(l) worth 0.5 points each, all others 1 point each.)
Quiz 1, Friday, August 31
Solutions to Quiz #1
Homework #2, Due Friday, August 31
Ch.3, Sec. 1, #3, 6, 14;
Ch.3, Sec. 2, #1(b)(c), #3(a)(b)(j), #11(b)(c) [Please see
these
instructions for writing proofs in homework.]
Reading Assignment #2, to be done prior to class on Friday, August 24
Read Chapter 3: The Real Numbers, Sec. 1 and Sec. 2, p.111-129
Reading Assignment #1, to be done prior to class on Wednesday, August 22
Skim both Chapter 1 "Logic and Proof" and Chapter 2 "Sets and Functions".
You should have learned all this material in Math 3325: Transitions to Advanced
Mathematics. If you need a refresher on any of these topics, either now or
later in the semester, you can read the appropriate sections in these
chapters more carefully.
Homework #1, Due Wednesday, August 22
Please complete and turn in this
information sheet.
Dates of Quizzes
Quiz 1: Friday, August 31
Quiz 2: Friday, September 14
Quiz 3: Friday, October 5
Quiz 4: Friday, October 19
Quiz 5: Friday, November 2
Dates of Exams
Exam 1: Friday, September 21 in class.
Exam 2: Friday, October 26 in class.
Final: Monday, December 10, 11AM--2PM in our usual classroom.
Some Additional Resources
If this is one of your first proofs courses, you might find the following two guides useful:
Advanced mathematics courses are difficult, and you will be challenged
in many ways throughout this course. Research has shown that the students that are the
most successful are the ones who have two qualities: Growth Mindset and
Grit. View, read, and watch the following resources on Growth Mindset
and Grit. Throughout the course, do your best to keep these ideas in mind as you encounter
difficult portions of the material.
- Growth Mindset is the belief that your ability to learn is not fixed, that
you become better at any subject with effort and practice, and that failure is not
permanent.
- Grit is the ability to stick with and pursue a goal over a long period of
time. This includes the ability to stay determined and motivated
despite experiences with failure or adversity.