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
| Section | Exercises | Solutions |
|---|
| 5.1 Inverse Functions | 3-19, 21-26, 29-32, 35-40 | Solutions |
| 5.2 The Natural Logarithm | 1, 4, 7-11, 13, 19, 25, 31, 38, 51, 54, 56, 57, 60, 61 | Solutions |
| 5.3 The Natural Exponential Function | 2-5, 7, 11, 13-23 odd, 26, 31, 37, 57, 59, 61 | Solutions |
| 5.4 The General Logarithm and Exponential Functions | 3-7, 10, 17, 18, 21-23, 25-31 odd, 36, 42, 44, 46 | Solutions |
| 5.5 Exponential Growth and Decay | 1, 3, 4, 9, 10, 12, 13, 15, 16 | Solutions |
| 5.6 Inverse Trigonometric Functions | 1, 3, 5, 8, 9, 13, 14, 16, 17, 19 23, 25, 28, 30, 31, 35, 36, 37, 38 | Solutions |
| 5.7 Hyperbolic Functions | 1, 3, 5, 7, 8, 9, 10, 15, 16, 17, 27-43 odd, 46, 47 | Solutions |
| 5.8 L'Hospital's Rule | 3-36 multiples of 3, 39-41, 47, 49 | Solutions |
| Exam 1 Practice (Quiz 1 March 10) | Covers sections 5.1-5.8 | Solutions |
| Exam 1 | Covers sections 5.1-5.8 | Solutions |
| 6.1 Integration by Parts | 3-29 odd, 30, 33, 34, 39 | Solutions |
| 6.2 Trigonometric Integrals and Substitutions | 1-11 odd, 15, 19-27 odd, 32, 37, 39, 41, 45, 47, 49, 53, 55 | Solutions |
| 6.3 Partial Fractions | 4-7, 9-15 odd, 19 23, 27, 33, 35, 39 | Solutions |
| 6.5 Approximate Integration | 2, 3, 17-19 part (c) only, 20, 25, 26, 28, 31, 34, 35 | Solutions |
| 6.6 Improper Integrals | 2, 5, 9, 11, 21-29 odd, 33, 41, 43, 47-51 odd | Solutions |
| Exam 2 | Sections 6.1-6.3, 6.5, 6.6 | Solutions |
| 7.1 Areas Between Curves | 1, 3, 5, 11-14, 16, 21, 31-33 | Solutions |
| 7.2 Volumes | 1, 3, 4, 9, 10, 11, 25, 27, 36, 37, 45 | Solutions |
| 7.3 Volumes by Cylindrical Shells | 3, 7, 11-21 odd, 33, 35, 40 | Solutions |
| Exam 3: Thursday, 5/5 | Sections 7.1-7.4, 7.6 | |
| 7.4 Arc Length | 1, 3, 4, 5, 6, 7, 9, 11, 12, 15, 18 | Solutions |
| 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, 17 | Solutions |
| Quiz 3 | Sections 7.1-7.5/7.6 | Solutions |
| 9.1 Parametric Curves | 1, 3, 5, 7, 11, 13, 15, 17, 25, 27, 31, 35 | Solutions |
| 9.2 Calculus with Parametric Curves | 1-15 odd, 33-39 odd | Solutions |
| 9.3 Polar Coordinates | 1-15 odd, 22, 25-31 odd, 47, 49 | Solutions |
| 9.4 Calculus with Polar Coordinates | 1-11 odd, 19, 21, 23, 29-35 od | Solutions |
| Review of Conic Sections | All questions about ellipses | |
| Optional Final Exam Review Sessions | Saturday May 14 2-4pm, NAC 5/150 & Monday May 16 2-4pm, Shepard 204 | |
| Quiz 4 | Sections 9.1-9.4, Conic Sections | |
| Final Exam | Thursday May 26 3:30-5:45pm, NAC 1/203 | |