1. MAT 1221 Survey of Calculus Exam 1 Info http://myhome.spu.edu/lauw

2. 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.

3. Expectations

4. Tutoring Bonus Points Turn in your paper today! Get the new paper for the next exam!

5. Extra! Extra! Reading Bonus! How many reading bonus points did you get from quiz 0 to quiz 6?

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.

7. Exam 1 Date and Time: 4/20 Monday (5:30-6:50 pm) Section 1.5, 2.1-2.5, B.1, B.2 Total Points: 80 points

8. 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.

9. 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.

10. 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

11. 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.

12. Major Themes:

13. 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.)

14. x Tangent Lines y 1

15. Rate of Change

16. Derivative

17. Limit Laws Summary

18. Simplify

19. Multiply by conjugate

20. Differentiation Formulas

21. Constant Function Rule If, then Why?

22. Constant Multiple Rule If, then where is a constant

23. Power Rule If, then (n can be any real number)

24. Sum and Difference Rule If, then

25. Product Rule If, then

26. Quotient Rule If then

27. Chain Rule

28. Extended Power Rule

29. 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

30. Important Skills Evaluate limits by using algebra. Finding derivatives using limits and formula. Understand and able to perform implicit differentiation. Solve word problems.

31. Remarks Portion of points are designated for simplifying the answers. Units are required for some answers.

32. Remarks Review quiz solutions. What is the password?

33. Finish Practice Problems.... 1 and 2 (a)