Instructor: Quanlei Fang
E-mail: quanlei.fang at bcc dot cuny dot edu
Office hrs: Mon 8pm-9pm (online): Zoom link and Tu 11am-12 noon (in person CP 301) or by appointment
Section D02 Lecture: MTW 12:00pm-1:50pm North Hall 130
Instructor: Quanlei Fang E-mail: quanlei.fang at bcc dot cuny dot edu Office hrs: Mon 8pm-9pm (online): Zoom link and Tu 11am-12 noon (in person 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 | |
|---|---|---|
| Mon 1/27 | Introduction/2.1 The Tangent and Velocity Problems | |
| Tu 1/28 | 2.2 The Limit of a Function | |
| Wed 1/29 | No class | |
| Mon 2/3 | 2.3 Calculating Limits Using Limit Laws | |
| Tu 2/4 | 2.5 Continuity | |
| Wed 2/5 | 2.6 Limits at infinity/Horizontal Asymptotes | |
| Mon 2/10 | 2.7 Derivatives and Rates of Change | |
| Tu 2/11 | 2.8 The Derivative as a Function | |
| Wed 2/12 | No class | |
| Mon 2/17 | No class | |
| Tu 2/18 (Monday Schedule) | Test 1 Review | |
| Wed 2/19 | Test 1 | |
| Mon 2/24 | 3.1 Derivatives of polynomials and Exponential functions | |
| Tu 2/25 | 3.2 The Product and Quotient rule | |
| Wed 2/26 | 3.3 Derivatives of Trigonometric Functions | |
| Mon 3/3 | 3.4 The Chain Rule | |
| Tu 3/4 | 3.5 Implicit Differentiation | |
| Wed 3/5 | 3.6 Derivatives of Logarithmic and Inverse Trigonometric Functions | |
| Thursday 3/6 (Wed schedule) | 3.7 Rates of Change in the Natural and Social Sciences | |
| Mon 3/10 | 3.9 Related Rates | |
| Tu 3/11 | 3.10 Linear Approximations and Differentials | |
| Wed 3/12 | 3.11 Hyperbolic Functions | |
| Mon 3/17 | Test 2 review | |
| Tu 3/18 | Test 2 | |
| Wed 3/19 | 4.1 Maximum and Minimum Values | |
| Mon 3/24 | 4.2 The Mean Value Theorem | |
| Tu 3/25 | 4.3 What Derivatives Tell Us about the Shape of a Graph | |
| Wed 3/26 | 4.4 Indeterminate Forms and l'Hospital's Rule | |
| Mon 3/31 | No class | |
| Tu 4/1 | 4.5 Summary of Curve Sketching | |
| Wed 4/2 | 4.7 Optimization Problems | |
| Mon 4/7 | 4.8 Newton's Method | |
| Tu 4/8 | 4.9 Antiderivatives | |
| Wed 4/9 | Test 3 review | |
| Mon 4/14 | No class | |
| Tu 4/15 | No class | |
| Wed 4/16 | No class | |
| Mon 4/21 | Test 3 | |
| Tu 4/22 | 5.1 The Area and Distance Problems | |
| Wed 4/23 | 5.2 The Definite Integral | |
| Mon 4/28 | 5.3 The Fundamental Theorem of Calculus | |
| Tu 4/29 | 5.4 Indefinite Integrals and the Net Change Theorem | |
| Wed 4/30 | 5.5 The Substitution Rule | |
| Mon 5/5 | 5.5 The Substitution Rule (contd) | |
| Tu 5/6 | Test 4 review | |
| Wed 5/7 | Test 4 | |
| Mon 5/12 | Final exam review | |
| Tu 5/13 | Final exam review | |
| Wed 5/14 | Final exam review | |
| 5/16-5/22 | Final Exam Date TBD | |