Course Information, Section 02 (MW 12:30-1:50; F 12-12:50)

Course Information, Section 01 (MW 3:30-4:50; F 3-3:50)

Class Log and Announcements

• Feb. 8
  Lecture:
  • Part of Section 3.6 Derivatives of logarithmic functions.
  • Higher derivatives and the notation d/dx in Sections 3.1--3.3, 3.4, and 3.6; Get used to the notation d/dx
  • Tangent lines in Sections 3.1--3.3,3.4, and 3.6
  • Section 3.5 Implicit differentiation, started.
  Homework:
  • Section 3.1 exercises #33,51,55.
  • Section 3.2 exercises #31.
  • Section 3.3 exercises #26(a),33
  • Section 3.4 exercises #52,54,60
  • Section 3.6 exercises odd #2--16, #36 (You don't have to the "graphing" part.)
  Announcement: We retake the first hour exam this Friday. If you don't need to take the exam again, you don't have to come for the class.
  Quiz 4 next Monday will be based on Sections 3.1--3.4 and 3.6 Nothing on Section 3.5!!!


• Feb. 6
  Lecture: Section 3.4 Chain rule
  Homework:Section 3.4 Examples 1--4. Exercises odd #7--45
  Announcement: We retake the first hour exam this Friday. Quiz 4 that is supposed to be taken this Friday will be held next Monday, for the first 15 minutes in the beginning of the class.


• Feb. 3
  Hour Exam 1


• Feb. 1
  Lecture:
  • Sections 3.1 Derivatives of polynomials and exponential functions, Section 3.2 The product and quotient rules, Section 3.3 Derivatives of trigonometric functions ; Part 1, Basic differentiation rules.
  • We went through last year's 1st hour exam.
  Homework:
  • Section 3.1 exercises #3--30.
  • Section 3.2 exercises #3--26 (#52 is challenging. Try!).
  • Section 3.3 exercises #1--16.


• Jan. 30
  Lecture:
  • Section 2.7 The meanings of the derivatives in Physic (and real life).
  • Chapter 3, started. Warm-up examples.
  Homework:Section 2.7 Exercises #37 (Optional.)
  Announcement: Review for the hour exam 1. Note that the differentiation rules in Chapter 3 are NOT on the exam this Friday.


• Jan. 27
  Lecture: Section 2.8 Geometric meaning of the derivative (=slope). The limit definition of the derivatives.
  Homework: Section 2.8 Exercises odd #19--28 (you don`t have to state the domains.)


• Jan. 25
  Lecture: Section 2.6 Computation of lim_{x -> \finity} f(x). Two handouts have been distributed handout 1, handout 2.
  Homework: Section 2.6 Exercises odd # 15--25, #29 (The highest power terms in the numerator and the denominator are different. Which one would you go for? Both will work. Which one do you prefer?), #33 (What is the ``highest power term'' here though they are not exactly polynomials?)
  Quiz 3 this Friday will be based on Part of Sections 2.3 and 3.3 (The cases #4--#6 of the handout for 2.3) and Section 2.5 (Continuity). Nothing on Section 2.6!!!
  Announcement: There is a tiny change of the office hours. The new offices hours are on the syllabus (links on top of this page). You may not even notice the difference.


• Jan. 23
  Lecture:
  • Section 2.3 The limit of a function: Algebraic approach, finished.
  • Section 3.3 The limit of a function: lim_{\theta->0} sin \theta / \theta = 1.
  • Section 2.5 Continuity.
  Homework:
  • Section 2.3 Examples 7,8,11. Exercises #36--38, #39, #40, #42, #43, #44, #57(This is a challenging problem. Be aware that you cannot simply replace f(x) by x^2 nor 0 in lim_{x->0) f(x). Why?)
  • Section 3.3 Exercises odd #39--46.
  • Section 2.5 Exercises #11,17,19,20(You do not have to sketch the graph for #20. You can try, though, if you want to.)
  Announcement: #2 of Quiz 2 has been graded differently than I intended. If you've chosen three (a)(b)(c), then 6 points. If you have chosen, say, (a)(c)(d), then it's credited 4 points (rather than 2 points) because: 2 points since you are correct to choose (a)(c), and another 2 points since you are correct not to choose (e)(f); basically you lose 2 points on (b)(d). If you have a question on your score of #2, talk to me.


• Jan. 20
  Lecture: Section 2.3 The limit of a function: Algebraic approach, the case #4.
  Announcement: The syllabi have been updated. Check out the links above.


• Jan. 18
  Lecture: Section 2.3 The limit of a function: Algebraic approach, started. A handout distributed. We covered the cases 1,2, and 3(a)(b) from the handout.
  Homework: Section 2.3 Examples 3--6 and 9. Exercises odd #11--29, #48((b) is optional but it will help you understand the problem).
  Quiz 2 this Friday will be based on what we learned today: Part of Section 2.3


• Jan. 11
  Lecture: Section 2.2 The limit of a function: Graphical approach.
  Homework: Section 2.2 Examples 3,9,10 (Refer to the graphs given in the textbook). Exercises 7,12
  Quiz 1 this Friday will be based on the Basic functions and their graphs and Section 2.2.
  Announcement: My office hours and our TA's MTC hours have been set. They can be found on the Course Information that have links above.


• Jan. 9
  Lecture: Basic functions and their graphs. Click here to see the list of functions.
  Homework: No specific problems from the textbook today. Just review what we did in in class today. Homework won't be collected or graded as written in the syllabus. However, you should do homeworks to master the material and to be prepared for weekly quizzes and the exams.