Rob Thompson Hunter College Spring 2019

Tuesday/Friday 11:10-1:00 Room: HW 415

Section 10

**e-mail:**
robert.thompson@hunter.cuny.edu

**Office: ** 902 HE **Hours:**

- You will learn about functions of one variable, including the concepts of limit, continuity and the derivative.
- You will be able to compute derivatives of various functions using the definition of the derivative, the power rule, the product and quotient rules, the chain rule, and implicit differentiation.
- You will learn the Mean Value Theorem and the Intermediate Value Theorem. You will apply these concepts to various problems involving related rates, curve sketching and optimization, and linear approximation.
- You will learn about antidifferentiation and the Riemann integral, and will be able to compute Riemann integrals of some simple functions using the Fundamental Theorem of Calculus.
- You will learn to apply these techniques to the problem of computing areas and volumes.

**Required Text:**Essential Calculus (Second Edition), with WebAssign, by James Stewart, Cengage Publishing.**Prerequisites:**Precalculus**Exams:**There will be three midterm exams and a comprehensive final exam. The first exam will be approximately a third of the way through the course, the second exam will be approximately two thirds of the way, and the third exam will be at the end of the semester before the last class meeting. The final exam will be after the last class meeting, on the date scheduled by Hunter College for this particular section.**Quizzes:**There will be several short quizzes throughout the semester. These will be announced at least one class period in advance.**Online Homework:**This course uses**WebAssign**, the online homework system offered by Cengage Publishing. Students must obtain the textbook bundled with WebAssign access.**Grading:**Homework will count for 10% of your course grade, quizzes will count for 10%, and the exams will count for 80%. The final exam will be worth twice as much as the midterm exams. Your lowest exam score will be dropped entirely, if it is a midterm exam. If your lowest exam score is the final exam, then it will be worth only one of the midterm exams.If you stop attending the course and do not withdraw, you will receive a grade of WU. You may elect to take the course on a credit/no credit basis if you are eligible, but this is subject to the College's rules, which means you that you will not be eligible for credit/no credit grading unless you have attended most class periods, taken all the exams, including the Final Exam, and completed most of the homework.

- 1.3 The Limit of Functions
- 1.4 Calculating LImits
- 1.5 Continuity
- 1.6 Limits Involving Infinity

- 2.1 Derivatives and Rates of Change
- 2.2 The Derivative as a Function
- 2.3 Basic Differentiation Formulas
- 2.4 The Product and Quotient Rules
- 2.5 The Chain Rule
- 2.6 Implicit Differentation
- 2.7 Related Rates
- 2.8 Linear Approximations and Differentials

- 3.1 Maximum and Minimum Values
- 3.2 The Mean Value Theorem
- 3.3 Derivatives and the Shapes of Graphs
- 3.4 Curve Sketching
- 3.5 Optimization Problems
- 3.7 Anti-Derivatives

- 4.1 Areas and Distances
- 4.2 The Definite Integral
- 4.3 Evaluating Definite Integrals
- 4.4 The Fundamental Theorem of Calculus
- 4.5 The Substitution Rule

- 7.1 Areas Between Curves
- 7.2 Volumes
- 7.3 Volumes by Cylindrical Shells