Math 116 Section 042 Calculus II

Basic Information

Course Title Calculus II
Meeting Times MTTh 11:30 -- 13:00 at Zoom (Link will be sent through email)
Instructor Yiwang Chen
Email yiwchen@umich.edu
Office East Hall 5080
Office Hours Monday: 2-3(Math lab)
Tuesday: 4-5 Thursday: 3-4 (All in Earstern Time)
Syllabus Click Here
Date Section(s) covered Notes Summary
Tuesday, Jan 19th Review of definite integral 5.1, 5.2
  • Riemann sums (Left and Right)
  • Definition of definite integral
Thursday, Jan 21th Review of definite integral 5.3, 5.4
  • Fundamental Theorem of Calculus!
  • Average of function: Application of Definite Integral
Monday, Jan 25th Review of antiderivative 6.1-6.4
  • Fundamental Theorem of Calculus!
  • Antiderivatives
Tuesday, Jan 26th Review of antiderivative 6.1-6.4
  • Fundamental Theorem of Calculus!
  • Antiderivatives
  • A quick mention to Substitution
Friday, Jan 26th Substitution
  • Substitution, Integration by part
Monday, Feb 1st Integration by parts/Partial Fraction
  • Integration by Parts
  • Integration by Partial Fraction
Tuesday, Feb 2st Trigonometric Substitution/Partial Fraction
  • Integration by Parts
  • Integration byTrigonometric Substitution
Thursday, Feb 4th Partial Fraction
  • Integration by Partial Fractions
Monday, Feb 8th 7.5: Fundamental theorem of Calculus application/Riemann Sums
  • Integration by Partial Fractions
February, Feb 9th 8.1
  • Integration of Area
Thursday, Feb 11th 8.2: Disk Method/Shell Method/Cross Section
  • Integration of Volume
Monday, Feb 15th 8.4: Mass + 8.5: Work (slicing object)
  • Integration of Mass/Work
Tuesday, Feb 16th 8.4: Mass + 8.5: Work (slicing object)
  • Integration of Mass/Work
Thursday, Feb 18th Exam Review
  • Exam Review
Monday, Feb 22th Exam Review
  • Exam Review
Tuesday, Feb 23th Section 8.5(work for slicing distance traveled)
  • Work for slicing distance traveled.
Thursday, Feb 25th 4.7 L'Hopital
  • L'Hopital's Rule
Monday, March 1st 7.6 Improper Integral
  • Improper Integral and how to calculate them.
Tuesday, March 2nd 7.7 Comparison Test
  • Comparison Test, Introduced
Thursday, March 4th Probability
  • Definition of PDF, CDF and their properties
Monday, March 8th Probability
  • Definition of PDF, CDF and their properties
Tuesday, March 9th Probability, CDF, PDF, Normal distribution
  • PDF, CDF properties
Thursday, March 11th Sequences
  • Definition of PDF, CDF and their properties
Monday, March 15th Geometric Series
  • Definition of PDF, CDF and their properties
Tuesday, March 16th n-th term test/Integral Test for series
  • Definition of Series
  • n-th term test and integral test for series
Thursday, March 17th Comparison Tests/Limit Comparison Tests for Series
  • Comparison Tests/Limit Comparison Tests for Series
Monday, March 22th Absolute Convergence/Alternating Series Test/Raio Test for Series
  • Convergence of Series: Absolute Convergence, Alternating Series Test, Ratio Test.
Thursday, March 25th Exam 2 Review
  • Convergence of Series: Absolute Convergence, Alternating Series Test, Ratio Test.
Monday, March 29th Exam 2 Review
  • Convergence of Series: Absolute Convergence, Alternating Series Test, Ratio Test.
Tuesday, March 30th Chapter 9.5, Power Series
  • Power Series.
  • Radius of Convergence.
Thursday, Apr 1st 10.1+10.2 Taylor Polynomial/Taylor Series
  • Taylor Polynomial.
  • Taylor Series.
Monday, Apr 5th 10.2 Taylor Series
  • Taylor Series.
Tuesday, Apr 6th 10.3 More on Taylor Series
  • Taylor Series.
  • Manipulating the Taylor series.
Thursday, Apr 8th 4.8 Parametrization
  • Section on Parametrization.
  • Monday, Apr 12th 8.2 Parametrization and arclength
  • Section on Parametrization and arc length, start Polar Coordinate.
  • Tuesday, Apr 13th 8.3 Polar Coordinate
  • Polar Coordinate.
  • Thursday, Apr 15th Review of Polar Coordinates
  • Review 1.
  • Monday, Apr 19th Review of Parametrizations, Taylor Polynomials and Taylor Series.
  • Review 2.
  • Tuesday, Apr 20th La Dernière Classe.
  • Math, a lifelong class...
  • Size of the webpage so far: (Completed).