MATH 1634 Calculus I

Class Log and Announcements
 Jan. 30, Fri
Lecture: Sections 3.13.3, started. Warmup examples.
Homework: Nothing from Exercises but understand what we did in class
Quiz 3 next Monday will be based on only on warmup examples (nothing from slopes or rates of change  these will be asked later)
 Jan. 28, Wed
Lecture:
 Section 2.7 Derivatives; Geometric meaning  slope of a tangent line.
 Section 2.7 Derivatives; Physics  rates of change (for example, position, velocity, and acceleration).
Homework: As I said in class, you will be asked only the final results on exams after we learn differentiation formulae in Chapter 3. It will be good for you if you can understand the whole process how to get those final results in order to improve your mathematical thought process, though. For those who want to practice all these concepts now (rather than postpone in Chapter 3), try Section 2.7 Exercises#9, 13, 33
 Jan. 26, Mon: Exam 1
 Jan. 23, Fri
Lecture: Section 2.8 The limit definition of the derivatives.
Homework: Section 2.8 Exercises odd #2128 (you don`t have to state the domains.)
Announcement: The solutions for the first hour exams from last semester Version 1 (Section 03) and Version 2 (Section 05).
 Jan. 21, Wed
Lecture: Section 2.6 Computation of lim_{x > \finity} f(x). Two handouts have been distributed Limit when x > infinity;Limit Laws and Limit when x> infinity; Cases.
Homework: Section 2.6 Examples 3,6; Exercises odd # 1525(Try #25 after this Friday's class), #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?)
Announcement: Review for the hour exam 1.
 Jan. 16, Fri
Lecture:
 Section 3.3 The limit of a function: Algebraic approach, case 6, Using the result of lim_{\theta>0} sin \theta / \theta = 1.
 Section 2.5 Continuity.
Homework:
 Section 3.3 Examples 5,6. Exercises #3946.
 Section 2.5 Determine whether the function is continuous at a given point in Exercises #13,17,18,19,21 in the way we did in class; Check the items (1)(2) and (3).
Quiz 2 next Wednesday will be based on Sections 2.3 & 3.3 The limit of a function: Algebraic approach, cases 16, and Section 2.5 Continuity.
 Jan. 14, Wed
Lecture: Section 2.3 The limit of a function: Algebraic approach. More on case 4, and case 5 (Squeeze theorem).
Homework:
 Study the lecture note and understand the examples coved in class first before start exercise problems.
 Section 2.3 Example 11. Exercises #37,39,40, 59(#59 can be challenging. Be aware that you cannot simply replace f(x) by x^2 nor 0 in lim_{x>0) f(x). Why?)
 Jan. 12, Mon
Lecture: Section 2.3 The limit of a function: Algebraic approach, continued. We covered the cases 2, 3(a)(b) and 4 from the handout.
Homework:
 Study the lecture note and understand the examples coved in class first before start exercise problems.
 Section 2.3 Examples 6,7,8,9. Exercises #25,27, 41,43,48,49,50
 Jan. 9, Fri
Lecture: Section 2.3 The limit of a function: Algebraic approach, started. A handout distributed. We covered the case from the handout.
Homework:
 Study the lecture note and understand the examples coved in class first before start exercise problems.
 Section 2.3 Examples 3,5, Exercises #3,5,7,10,11,13,15,17,19,21,31>
Quiz 1 Next Monday 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, case 1 in the handout.
 Jan. 7, Wed
Lecture: Section 2.2 The limit of a function: Graphical approach
Homework:
 It is and will be assumed that you study the lecture note first before start exercise problems.
 Section 2.2 Examples 3,7,9,10 (Refer to the graphs given in the textbook). Exercises 7,11
 Jan. 5, 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.