# 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.
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 DerniÃ¨re Classe.
• Math, a lifelong class...