Instructor: Dr. Madnick (jmadnick@uoregon.edu)
Textbook: OpenStax: Calculus Volume 2
http://openstax.org/details/books/calculus-volume-2
Grades: Posted on Canvas
Office Hours:
Tue: 12:30 - 1:15 (UO Annex 220)
Tue: 2:30 - 3:15 (UO Annex 220)
Note: The final exam will be held in Condon Hall 360, not our classroom.
Resources
Office hours (highly recommended)
Textbook (good explanations + practice problems)
Drop-in tutoring at the Knight Library, 4th floor
Drop-in HW help at the Math Library
For fun and knowledge:
Video: Spectacular illustrations of geometric series
Midterm 1 Information
Date: Tue 4/30 and Wed 5/1
Time and Location: Our classroom during lecture
Midterm 1 content:
Weeks 1-3 (Lectures 1-12)
PSets 1, 2, 3
Not required for Midterm 1:
Alternating series test; Absolute and conditional convergence. (These will appear on Midterm 2.)
Induction.
Structure of Tuesday exam
#1. State definitions. Then evaluate a limit.
#2. Convergence/Divergence: Use LCT and DCT.
#3. Convergence/Divergence: Use any method.
#4. Remainder estimate from integral test.
Structure of Wednesday exam
#5. Calculate sums of series.
#6. Convergence/Divergence: Use the integral test.
#7. Convergence/Divergence: Use any method.
#8. Recurrence relation.
Midterm 1 Practice Problems. Answers.
Advice for success:
Work through the Midterm Practice Problems before the lecture on Mon 4/29
Know all the definitions and theorems (i.e., have them memorized)
Make sure you can solve all the problems from Weeks 1, 2, 3 (Lectures 1-12)
Make sure you can solve all the problems from PSets 1, 2, 3
Midterm 2 Information
Date: Tue 5/21 and Wed 5/22
Time and Location: Our classroom during lecture
Midterm 2 content:
Weeks 4, 5, 6 and Mon of Week 7 (Lectures 13-20)
PSets 4, 5, 6
Not required for Midterm 2: Taylor polynomials. Taylor's Theorem.
Structure of Tuesday exam
#1. Determine: Convergence / Divergence.
#2. Determine: Absolute conv / Conditional conv / Divergence.
#3. Show: Conditional convergence.
#4. Remainder estimate for alternating series.
Structure of Wednesday exam
#5. Power series: Find interval of convergence.
#6. Given a function, find its Taylor series.
#7. Differentiation/integration of power series.
#8. Given a function, find its Taylor series.
Midterm 2 Practice Problems. Answers.
Advice for success:
Work through the Midterm Practice Problems before the lecture on Mon 5/20
Know all the definitions and theorems (i.e., have them memorized)
Make sure you can solve all the problems from Weeks 4, 5, 6 and Mon-Tue of Week 7 (Lectures 13-21)
Make sure you can solve all the problems from PSets 4, 5, 6
Final Exam Information
Date: Fri 6/14
Time: 10:15 - 12:15
Location: Condon Hall 360
Final exam content:
Weeks 7, 8, 9, 10 (Lectures 20-30)
PSets 7, 8, 9
Structure of exam
#1. Approximate the solution of an equation.
#2. Evaluate a limit.
#3. Corollary to Taylor's Theorem.
#4. Approximate an integral to a specified accuracy.
#5. Solve an initial-value problem.
#6. Calculate a high-order derivative.
#7. Calculate order of contact.