Instructor: Quanlei Fang
E-mail: quanlei.fang at bcc dot cuny dot edu
Office hrs: M W 2pm-3pm (CP 301) or by appointment
Section D02 Lecture: M W 12:00pm-1:50pm New Hall 33 Tu online: zoom link
Instructor: Quanlei Fang E-mail: quanlei.fang at bcc dot cuny dot edu Office hrs: M W 2pm-3pm (CP 301) or by appointment |
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Course Description:
MTH 31 is a six-hour/four-credit calculus course. Topics of study include limits, rates of change, differentiation and anti-differentiation of algebraic functions, applications, integrals, curve sketching etc. Click here for the Course Contract (grading scale, homework policy, online tutoring lab info etc). We will use online system Webwork for homework MTH31 D02.Your username and initial password for the students is your first name with last name -- "firstnamelastname" (no dots, no spaces).All letters are in lower case.
Course Plan:
| Day | Topic | |
|---|---|---|
| Tu 8/26 | Introduction/2.1 The Tangent and Velocity Problems | |
| Wed 8/27 | 2.2 The Limit of a Function | |
| Mon 9/1 | No class | |
| Tu 9/2 | 2.3 Calculating Limits Using Limit Laws | |
| Tu 9/3 | 2.5 Continuity | |
| Mon 9/8 | 2.6 Limits at infinity/Horizontal Asymptotes | |
| Tu 9/9 | 2.7 Derivatives and Rates of Change | |
| Wed 9/10 | 2.8 The Derivative as a Function | |
| Mon 9/15 | 3.1 Derivatives of polynomials and Exponential functions | |
| Tu 9/16 | Test 1 review | |
| Wed 9/17 | Test 1 | |
| Mon 9/22 | No class | |
| Tu 9/23 | No class | |
| Wed 9/24 | No class | |
| Mon 9/29 | 3.2 The Product and Quotient rule | |
| Tu 9/30 | 3.3 Derivatives of Trigonometric Functions | |
| Wed 10/1 | No class | |
| Mon 10/6 | 3.4 The Chain Rule | |
| Tu 10/7 | 3.5 Implicit Differentiation | |
| Wed 10/8 | 3.6 Derivatives of Logarithmic and Inverse Trigonometric Functions | |
| Mon 10/13 | No class | |
| Tu 10/14 (Mon schedule) | 3.7 Rates of Change in the Natural and Social Sciences | |
| Wed 10/15 | 3.9 Related Rates | |
| Mon 10/20 | No class | |
| Tu 10/21 | 3.10 Linear Approximations and Differentials | |
| Wed 10/22 | 3.11 Hyperbolic Functions | |
| Friday 10/24 (Monday schedule) | Test 2 review | |
| Mon 10 /27 | Test 2 | |
| Tu 10/28 | 4.1 Maximum and Minimum Values | |
| Wed 10/29 | 4.2 The Mean Value Theorem | |
| Mon 11/3 | 4.3 What Derivatives Tell Us about the Shape of a Graph | |
| Tu 11/4 | 4.4 Indeterminate Forms and l'Hospital's Rule | |
| Wed 11/5 | 4.5 Summary of Curve Sketching | |
| Mon 11/10 | 4.7 Optimization Problems/ | |
| Tu 11/11 | 4.8 Newton's Method | |
| Wed 11/12 | 4.9 Antiderivatives | |
| Mon 11/17 | 4.9 Antiderivatives (contd.) | |
| Tu 11/18 | Test 3 review | |
| Wed 11/19 | Test 3 | |
| Mon 11/24 | 5.1 The Area and Distance Problems | |
| Tu 11/25 | 5.2 The Definite Integral | |
| Wed 11/26 | 5.3 The Fundamental Theorem of Calculus | |
| Mon 12/1 | 5.4 Indefinite Integrals and the Net Change Theorem | |
| Tu 12/2 | 5.5 The Substitution Rule | |
| Wed 12/3 | 5.5 The Substitution Rule (contd) | |
| Mon 12/8 | Test 4 review | |
| Tu 12/9 | Final exam review | |
| Wed 12/10 | Final exam review (online Test 4 due) | |
| Mon 12/15 | Final exam review | |
| 12/16-12/22 | Final Exam Date TBD | |