Message from Professor Bozenna Pasik-Duncan: 9/28/13
Dear Students,
The following is a summary of what you need to know for Exam I. If you fully understand these selected illustrative examples from the textbook and can do very similar examples you will be very well-prepared for the exam and you will do well on it. The True-False Quizzes at the end of each chapter will help you to check whether you understand the concepts well.
We have posted a sample of the exam just to give you an idea about its format and content. Remember, it is only a sample.
We will be reviewing the material a lot so missing the lectures or lab sessions this week wouldn't be reasonable. Start your preparation now and work every day so by Monday, October 7 you will be very well-prepared.
With my very best wishes to you for the most effective way of studying to reach the highest satisfaction from your learning. Don't forget about exercising too, so you will be in excellent physical condition, which is necessary for any success.
See you on Monday.
Enjoy the rest of the weekend with... math, your best friend!
Bozenna Pasik-Duncan
Summary of "What we need to know for Exam I"
- Chapter 1: Functions, their Domains and Compositions.
- Sec. 1.3: Function Transformations – Examples: 6, 7, 8, 9.
- True-False Quiz.
- Chapter 2: Limits & Derivatives.
- Sec. 2.3: Finding Limits – Examples: 3, 4, 5, 6, 7.
- Sec. 2.4: Continuity – Examples: 2, 5, 6, 7, 8, 9 (Intermediate Value Theorem).
- Sec. 2.5: Limits Involving Infinity – Examples: 1, 2, 4, 5, 6, 7, 8.
- Sec. 2.6: Rates of Change – Examples: 1, 2, 3, 4, 5, 6.
- Sec. 2.7: Derivatives by the Definition and Higher Order Derivatives – Examples: 3, 4, 5, 6, 7, 8, 9.
- Sec. 2.8: What do f' and f'' Say About f – Examples: 1, 3.
- True-False Quiz.
- Chapter 3: Differentiation Rules, Tangent Lines, Velocity, Acceleration.
- Sec. 3.1: Derivatives of Polynomials and Exponential Functions – Examples: 5, 6, 7, 8, 9.
- Sec. 3.2 : The Product and Quotient Rules – Examples: 1, 2, 3, 5, 6.
- Sec. 3.3: Derivatives of Trigonometric Functions – Examples: 1, 3.
- Sec. 3.4: The Chain Rule – Examples: 1, 2, 3, 4, 6, 7, 8.
- Sec. 3.5: Implicit Differentiation – Examples: 1, 2, 3, 4.
- Sec. 3.6: Limits and Derivatives of Inverse Trigonometric Functions – Examples: 4, 5.
- Sec. 3.7: Derivatives of Logarithmic Functions and Logarithmic Differentiation – Examples: 1, 2, 3, 4, 5, 6, 7, 8.
- Sec. 3.8: Applications of Rates of Change – revisit Examples: 1, 8.
- True-False Quiz
- Extra Credit - Sec. 4.1: Related Rates - Examples: 1, 2, 3, 4.