John Adamski
Teaching
Music
Math 20200-PR2: Calculus II, spring 2016
Course Information Sheet // Syllabus
Free Tutoring 1 // Free Tutoring 2
Demos //CUNY Math Challenge
Video Lectures by Dr. Marchese
Final Exam: Thursday May 26, 3:30-5:45pm
SectionExercisesSolutions
5.1 Inverse Functions3-19, 21-26, 29-32, 35-40Solutions
5.2 The Natural Logarithm1, 4, 7-11, 13, 19, 25, 31, 38, 51, 54, 56, 57, 60, 61Solutions
5.3 The Natural Exponential Function2-5, 7, 11, 13-23 odd, 26, 31, 37, 57, 59, 61Solutions
5.4 The General Logarithm and Exponential Functions3-7, 10, 17, 18, 21-23, 25-31 odd, 36, 42, 44, 46Solutions
5.5 Exponential Growth and Decay1, 3, 4, 9, 10, 12, 13, 15, 16Solutions
5.6 Inverse Trigonometric Functions1, 3, 5, 8, 9, 13, 14, 16, 17, 19 23, 25, 28, 30, 31, 35, 36, 37, 38Solutions
5.7 Hyperbolic Functions1, 3, 5, 7, 8, 9, 10, 15, 16, 17, 27-43 odd, 46, 47Solutions
5.8 L'Hospital's Rule3-36 multiples of 3, 39-41, 47, 49Solutions
Exam 1 Practice (Quiz 1 March 10)Covers sections 5.1-5.8Solutions
Exam 1Covers sections 5.1-5.8Solutions
6.1 Integration by Parts3-29 odd, 30, 33, 34, 39Solutions
6.2 Trigonometric Integrals and Substitutions1-11 odd, 15, 19-27 odd, 32, 37, 39, 41, 45, 47, 49, 53, 55Solutions
6.3 Partial Fractions4-7, 9-15 odd, 19 23, 27, 33, 35, 39Solutions
6.5 Approximate Integration2, 3, 17-19 part (c) only, 20, 25, 26, 28, 31, 34, 35Solutions
6.6 Improper Integrals2, 5, 9, 11, 21-29 odd, 33, 41, 43, 47-51 oddSolutions
Exam 2Sections 6.1-6.3, 6.5, 6.6Solutions
7.1 Areas Between Curves1, 3, 5, 11-14, 16, 21, 31-33Solutions
7.2 Volumes1, 3, 4, 9, 10, 11, 25, 27, 36, 37, 45Solutions
7.3 Volumes by Cylindrical Shells3, 7, 11-21 odd, 33, 35, 40Solutions
Exam 3: Thursday, 5/5Sections 7.1-7.4, 7.6
7.4 Arc Length1, 3, 4, 5, 6, 7, 9, 11, 12, 15, 18Solutions
7.5 App. to Physics and Engineering - WORK ONLY (Note, this is section 7.6 in the 2nd edition of the text)1, 3, 4, 5, 7, 9, 11, 12, 14, 15, 17Solutions
Quiz 3Sections 7.1-7.5/7.6Solutions
9.1 Parametric Curves1, 3, 5, 7, 11, 13, 15, 17, 25, 27, 31, 35Solutions
9.2 Calculus with Parametric Curves1-15 odd, 33-39 oddSolutions
9.3 Polar Coordinates1-15 odd, 22, 25-31 odd, 47, 49Solutions
9.4 Calculus with Polar Coordinates1-11 odd, 19, 21, 23, 29-35 odSolutions
Review of Conic SectionsAll questions about ellipses
Optional Final Exam Review SessionsSaturday May 14 2-4pm, NAC 5/150 & Monday May 16 2-4pm, Shepard 204
Quiz 4Sections 9.1-9.4, Conic Sections
Final ExamThursday May 26 3:30-5:45pm, NAC 1/203