MTH 31, Fall 2018
Table of Contents
MTH 31-D03 (45753)
Syllabus
The description of the class as well as many useful materials is available in the department's webpage: MTH 31 Description. The departmental syllabus is available here: Departmental MTH 31 syllabus. You might also find useful the Math Department Website, though Your Mileage May Vary.
Textbook
Calculus (8th Edition) by James Stewart, Cengage Learning. ISBN 978-1285740621 Students who do not need MTH 33 may use Single Variable Calculus (8th Edition) by James Stewart, Cengage Learning ISBN 978-1305266636
Previous editions of the textbook also work, and there are syllabi for older editions in the departmental MTH 31 Description.
Grading
There will be three in class exams, each taking the whole class period and counting for 20% of your grade and a final exam counting for the remaining 40%.
| In Class Exams | 3 × 20% |
|---|---|
| Final | 40% |
| 100% |
Day-by-day Lesson Plan
| Day | Section of the textbook | Page | ||
|---|---|---|---|---|
| 1 | Mon Aug 27 | 1.4 The Tangent and Velocity Problem | 49 | 1, 3, 5, 7 |
| 2 | Tue Aug 28 | 1.5 The Limit of a Function | 59 | 1-5, 12-14, 23-28 |
| 3 | Wed Aug 29 | 1.6 Calculating Limits Using Laws | 70 | 1-23 odd |
| 4 | Tue Sep 4 | 1.8 Continuity | 91 | 3, 7, 9, 15-21 odd, 25, 33, 37, 39, 41,44, 45, 47, 49, 53, 55, 57 |
| 5 | Wed Sep 5 | REVIEW of Chapter 1 | 96 | 1-11 odd, 17, 23, 27, 29 |
| 6 | Wed Sep 12 | 2.1 Derivatives and Rates of Change | 113 | 1, 3, 7, 21-31 odd, 39-47 odd,53, 57, 59 |
| 2.2 The Derivative as Function | 125 | 1, 3, 4, 7, 19-21, 25-33 odd, 39-51 odd | ||
| 7 | Mon Sep 17 | 2.3 Differentiation Formulas | 140 | 1-43 odd, 51, 53, 69, 77 |
| 8 | Mon Sep 24 | 2.4 Derivatives of Trig Functions | 150 | 1-17 odd, 25, 29, 39-49 odd |
| 9 | Tue Sep 25 | 2.5 Chain Rule | 158 | 1-45 odd, 47, 51, 55, 69, 71 |
| 10 | Wed Sep 26 | 2.6 Implicit Differentiation | 166 | 1-19 odd, 25, 27, 31, 35, 43, 45 |
| 11 | Mon Oct 1 | 2.7 Rates of Change in Sciences | 178 | 1-9 odd, 15, 18 |
| 12 | Tue Oct 2 | 2.8 Related Rates | 185 | 1, 3, 9, 10, 11, 13-33 odd |
| 13 | Wed Oct 3 | 2.9 Linear Approximations | 192 | 1, 3, 5, 7-25 odd, 31 |
| 14 | Tue Oct 9 | REVIEW of Chapter 2 | 196 | 3, 5, 11, 13-37, 45, 51, 59, 61, 75, 77, 79, 82 |
| 15 | Wed Oct 10 | REVIEW for EXAM I | ||
| 16 | Mon Oct 15 | EXAM I | ||
| 17 | Tue Oct 16 | 3.1 Maximum and Minimum Values | 211 | 3, 5, 15-27 odd, 29-55 odd |
| 18 | Wed Oct 17 | 3.2 The Mean Value Theorem | 219 | 1, 11, 13, 17, 21 |
| 19 | Mon Oct 22 | 3.3 How Derivatives affect the Shape of a Graph | 227 | 1, 5, 7, 8, 9-17 odd, 3-41 odd |
| 20 | Tue Oct 23 | 3.4 Limits at Infinity; Horizontal Asymptotes | 241 | 3, 9-29 odd, 37, 41 |
| 21 | Wed Oct 24 | 3.5 Summary of Curve Sketching | 250 | 1-35 odd |
| 22 | Mon Oct 29 | 3.7 Optimization Problems | 256 | 3, 5, 7, 11, 17, 21, 27, 31 |
| 23 | Tue Oct 30 | 3.8 Newton's Method | 276 | 5, 7, 13-19 odd, 29 |
| 24 | Wed Oct 31 | 3.9 Antiderivatives | 282 | 1-41 odd, 43, 45, 47 |
| 25 | Mon Nov 5 | REVIEW of Chapter 3 | 286 | 1-27 odd, 38, 41, 46, 49, 55, 57 |
| 26 | Tue Nov 6 | REVIEW for EXAM II | ||
| 27 | Wed Nov 7 | EXAM II | ||
| 28 | Mon Nov 12 | 4.1 Areas and Distance | 303 | 1, 3, 5, 13, 15, 21, 25 |
| 29 | Tue Nov 13 | 4.2 The Definite Integral | 316 | 3, 5, 9, 17, 21-15 odd, 31, 33, 37 |
| 30 | Wed Nov 14 | 4.3 The Fundamental Theorem of Calculus | 327 | 3, 7-35 odd, 45, 51, 53 |
| 31 | Mon Nov 19 | 4.4 Indefinite Integrals and the Net Change Theorem | 336 | 1-11 odd, 19-41 odd, 55, 57 |
| 32 | Tue Nov 20 | 4.5 The Substitution Rule | 346 | 1-19 odd, 35-51 odd |
| 33 | Wed Nov 21 | REVIEW for Chapter 4 | ||
| 34 | Mon Nov 26 | REVIEW for Exam III | ||
| 35 | Tue Nov 27 | EXAM III | ||
| 36 | Wed Nov 28 | REVIEW Chapter 1 | ||
| 37 | Mon Dec 3 | REVIEW Chapters 1,2 | ||
| 38 | Tue Dec 4 | REVIEW Chapter 2 | ||
| 39 | Wed Dec 5 | REVIEW Chapter 3 | ||
| 40 | Mon Dec 10 | REVIEW Chapter 3 | ||
| 41 | Tue Dec 11 | REVIEW Chapter 4 | ||
| 42 | Wed Dec 12 | REVIEW for Final |
Exams
- First Exam The solutions are also available: Solutions to the First Exam
Academic Integrity
Academic dishonesty (such as plagiarism and cheating) is prohibited at Bronx Community College and is punishable by penalties, including failing grades, dismissal and expulsion. For additional information and the full policy on Academic Integrity, please consult the BCC College Catalog.
Accommodations/Disabilities
Bronx Community College respects and welcomes students of all backgrounds and abilities. In the event you encounter any barrier(s) to full participation in this course due to the impact of a disability, please contact the disAbility Services Office as soon as possible this semester. The disAbility Services specialists will meet with you to discuss the barriers you are experiencing and explain the eligibility process for establishing academic accommodations for this course. You can reach the disAbility Services Office at: disability.services@bcc.cuny.edu, Loew Hall, Room 211, (718) 289-5874.