MATH 1634 Calculus I

Class Log and Announcements
 Sep. 15, Mon.
Lecture:
 Section 2.7 The meanings of the derivatives in Physic (and real life).
 Review for the hour exam 1
Homework: Study the example that we did in class. Section 2.7 Exercise #13
 Sep. 12, Fri.
Lecture: Section 2.8 Geometric meaning of the derivative (=slope). The limit definition of the derivatives.
Homework: Section 2.8 Exercises odd #1928 (you don`t have to state the domains.)
Announcement: Review for the hour exam 1.
 Sep. 10, Wed.
Lecture:Section 2.6 Computation of lim_{x > \finity} f(x). A handout have been distributed Limit when x> infinity; Cases.
Homework: Section 2.6 Exercises odd # 1525, #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?), #35 (What is the ``highest power term'' here though they are not polynomials?)
 Sep. 8, Mon.
Lecture:
 Section 3.3 The limit of a function: Algebraic approach, case 6, Using the result of lim_{\theta>0} sin \theta / \theta = 1, finished.
 Section 2.5 Continuity.
 Section 2.6 Computation of lim_{x > \finity} f(x). A handout have been distributed Limit when x > infinity;Limit Laws .
Homework:
 Section 2.5 Exercises #13,17,18,19,21(Determine the continuity of each function at a given point in the way we did in class; Check the items (1)(2) and (3).
Quiz 2 this Wednesday will be based on Sections 2.3 & 3.3 The limit of a function: Algebraic approach, cases 36. (Section 2.5 Continuity and Section 2.6 that we did today will NOT be on Quiz 2.)
 Sep. 5, Fri.
Lecture:
 Section 2.3 The limit of a function: Algebraic approach, case 5, Squeeze theorem.
 Section 3.3 The limit of a function: Algebraic approach, case 6, Using the result of lim_{\theta>0} sin \theta / \theta = 1.
Homework:
 Section 2.3 Example 11. Exercises #37,39, #59(Be aware that you cannot simply replace f(x) by x^2 nor 0 in lim_{x>0) f(x). Why?)
 Section 3.3 Examples 5,6. Exercises #3946.
 Sep. 3, Wed.
Lecture: Section 2.3 The limit of a function: Algebraic approach, continued. We covered the cases 3(a)(b) and 4 from the handout. The Squeeze theorem was stated, but we will see examples next time.
Homework: Section 2.3 Examples 7,8,9. Exercises #41,43,48,49,50.
 Aug. 29, Fri.
Lecture: Section 2.3 The limit of a function: Algebraic approach, started. A handout distributed. We covered the cases 1 and 2 from the handout.
Homework: Section 2.3 Examples 3,5,6. Exercises #3,5,7,10,11,13,15,17,19,21,25,27,31.
Quiz 1 Next Wednesday will be based on what we learned so far: basic functions, Section 2.2 The limit of a function: Graphical approach, Section 2.3 The limit of a function: Algebraic approach, cases 1 and 2 in the hand out.
 Aug. 27, Wed.
Lecture:
 Section 2.2 The limit of a function: Graphical approach
 Section 2.3 The limit of a function: Algebraic approach, started.
Homework: Section 2.2 Examples 3,7,9,10 (Refer to the graphs given in the textbook). Exercises 7,11
 Aug. 26
Announcement: In case you wonder: There is no quiz tomorrow Wed 8/27
 Aug. 25, Mon
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.