MAT 1221 Survey of Calculus Exam 1 Info
WebAssign Outage yesterday afternoon HW will be extended to tomorrow. Quiz: you can Do the first problem in the quiz, the score of the quiz is double of your score in problem 1 Do both problems with normal scoring.
Expectations
Tutoring Bonus Points Turn in your paper today! Get the new paper for the next exam!
Extra! Extra! Reading Bonus! How many reading bonus points did you get from quiz 0 to quiz 6?
Extra! Extra! Reading Bonus! How many reading bonus points did you get from quiz 0 to quiz 6? To reward those who have been reading the textbook, I will match 1 point in the first exam for each bonus point you got from the quizzes.
Exam 1 Date and Time: 4/20 Monday (5:30-6:50 pm) Section 1.5, , B.1, B.2 Total Points: 80 points
Exam 1 This exam is extremely important. The second exam is on 5/11. The last day to withdraw is 5/8. So this exam gives us the critical info for you to make a sound decision.
Calculators Absolutely no share of calculators. Bring extra batteries, extra calculators. It is your responsibility to bring a workable calculator. NO cell phone or PDA Your instructor/TA will not answer any question related to calculators.
Expectations Use equal signs Simplify your answers. Provide units. Check and Double Check your solutions. Show the “formula” steps. For word problems in B.2, show all 5 steps
Steps for Word Problems 1. Draw a diagram 2. Define the variables 3. Write down all the information in terms of the variables defined 4. Set up a relation between the variables 5. Use differentiation to find the related rate. Formally answer the question.
Major Themes:
Slope of the tangent line Slope of the tangent line at a point on a graph can be approximated by a limiting process. (The same apply to other rate of change problems in physical sciences.)
x Tangent Lines y 1
Rate of Change
Derivative
Limit Laws Summary
Simplify
Multiply by conjugate
Differentiation Formulas
Constant Function Rule If, then Why?
Constant Multiple Rule If, then where is a constant
Power Rule If, then (n can be any real number)
Sum and Difference Rule If, then
Product Rule If, then
Quotient Rule If then
Chain Rule
Extended Power Rule
Important Concepts Left-hand limits and right-hand limits exists if f is continuous at a point if f is differentiable at a point if exists
Important Skills Evaluate limits by using algebra. Finding derivatives using limits and formula. Understand and able to perform implicit differentiation. Solve word problems.
Remarks Portion of points are designated for simplifying the answers. Units are required for some answers.
Remarks Review quiz solutions. What is the password?
Finish Practice Problems and 2 (a)