**Instructor**: Shuijing Li

**Office**: Herman Brown B47 **Tel**:
(713) 348-2867

**Email**: shuijing@rice.edu

**Time**: TTh
1 pm – 4 pm

**Location**: HB47

**Syllabus**
(PDF)

**Announcements**

·
**June 5**:
Class will be held
in Hersztein hall 117 ,1-4pm.

·
**Office hour**: I will hold office hour
10-12AM Tuesday, before the homework due time. Or anytime by appointment, just
call me at 2867 ahead.

·
**June 17, 2008**: sorry about the confusion
of the homework due, but you do have to turn in 2.1-2.4, and 3.1-3.6 today.

·
**June 19**: You are going to have the first
midterm exam. It is a take home exam, 2 or 3 hours long, and open notes.

** The exam will be due with
the homework on Tuesday (June 24, 2008)**.

·
**July 1**:
**The first midterm exam
**is available. You are going to have the second midterm exam. It will be a
take home exam, 2 hours long, and open notes only.

** The exam will be due with
the homework on Tuesday (June** **8, 2008)**.

·
**July 8**:
A senior professor in math department will come to our class that day and will
stay for an hour or so, but don’t worry, she is only
checking **my teaching**. However, I do
need you to come to my class on time that day, with the homework and the exam.
Thanks.

*Thank you for your cooperation and
your guys are great**J*

·
**The second
midterm exam is available**.

**Schedule**

·
**June 3**:

- Sections: 1.1, 1.2, 1.3, 1.4, 1.5
- Important Concepts: functions, closed/open intervals, linear equations, discontinuities, power function, combinations of functions, rational function, trigonometric functions, composition, exponential function, logarithmic function, transcendental equations etc.
- Homework: ( Due on June 10)
- 1.1: 2, 10, 13, 17, 24, 45
- 1.2: 6, 12, 13, 18, 34
- 1.3: 4, ( 7-12, 17-20 only need to give me the answer in class on June 12)
- 1.4: (1-10 only need to give me the answer in class on June 12) , 26, 28

·
**June 5**:

- Sections: 2.1, 2.2, 2.3
- Important Concepts: tangent line, increment, difference quotient, neighborhood, limit, limit laws, trigonometric limit, one-sided limit, infinite limit, definition of limit
- Homework: (Due on June 12)
- 2.1: 8, 18, 22, 29, 31, 33
- 2.2: 2, 29, 33, 36, 37, 38, 64
- 2.3: 2 , 32, 33, 51, 59, 71

·
**June 10**:

- Sections: 2.4, 3.1, 3.2
- Important Concepts: continuity at a point, discontinuity, removable discontinuity, intermediate value theorem, derivative, differential notation, rates of change, derivative of polynomial, rules of differentiation
- Homework: ( Due on June 17)
- 2.4: 3, 8, 11, 15, 27, 41, 45, 53, 59 (Some copies have a typo: Calculate the values at x=-3, -2, -1, 0, 1, 2, and 3)
- 3.1: 1, 5, 10, 11, 13, 17, 19, 22, 27, 30-35
- 3.2: 3, 7, 13, 18, 23, 26, 41, 45

·
**June 12**:

- Sections: 3.3, 3.4, 3.5, 3.6
- Important Concepts: chain rule, maximum/minimum value property, local/absolute maximum/minimum, optimization, dimensional analysis
- Homework: (Due on June 17)
- 3.3: 4, 7, 8, 13, 28, 44
- 3.4: 8, 39, 42, 47, 66
- 3.5: 5, 8, 9, 11, 18, 38, 45
- 3.6: 3, 5, 6 ,19, 31

·
**June 17**:

- Sections: 3.7, 3.8, 3.9, 3.10
- Important Concepts: derivative of trigonometric/exponential/logarithmic/inverse functions, implicit differentiation, related rates. Review for chap1-3.
- Homework: (Due on June 24)
- 3.7: 3, 6, 15, 28, 34
- 3.8: 2, 3, 11, 28 , 42, 48, 50
- 3.9: 2, 7, 9, 19, 26,45

·
**June 19**:

**Midterm Exam #1**( Due on June 24 also)- Sections: 4.2, 4.3, 4.4
- Important Concepts: increment, differential, linear approximation, Rolle’s theorem, mean value theorem, first derivative test for local/global extrema, classifying critical points
- Homework: (Due on June 24)
- 4.2: 22, 23
- 4.3: 13, 16, 21, 27, 30 ,37,42
- 4.4: 3, 8, 13, 17, 22, 29 ,41

·
**June 24**:

- Sections: 4.5, 4.6, 4.7
- Important Concepts: curve sketching, behavior at infinity, higher derivatives, concavity, inflection points, asymptotes
- Homework:
- 4.5: 25, 29 , 45, 48, 51, 52
- 4.6: 2, 9, 17, 22 26, 30 37, 45 , 63, 86
- 4.7: 29, 33, 42, 47

·
**June 26**:

- Sections: 4.8, 4.9
- Important Concepts: indeterminate forms, L’Hôpital’s rule, order of magnitude
- Homework:
- 4.8: 1, 4, 5, 20, 22, 25 , 35, 41, 48, 55
- 4.9: 1, 3, 8, 12, 18, 21, 23, 44, 47

·
**July 1**: ** **

- Sections: 5.2, 5.3
- Important Concepts: differential equations, antiderivative, indefinite integral, initial condition, summation notation
- Homework: (Due on July 8)
- 5.2: 2 , 7 , 23, 30, 40, 45, 49
- 5.3: 3, 12 , 20

·
**July 3**:

**Midterm Exam #2**- Sections: 5.4, 5.5
- Important Concepts: partition, selection, Riemann sum, integral, properties of integrals
- Homework: (Due on July 8)
- 5.4: 3, 44, 47,
- 5.5: 2, 4, 7, 39, 45 , 54

·
**July 8**:

- Sections: 5.6, 5.7
- Important Concepts: average value of a function, fundamental theorem of calculus, integration by substitution
- Homework: : (Due on July 15)
- 5.6: 6, 19, 32, 52, 56, 57
- 5.7: 2, 25, 39, 50, 58

·
**July 10**:

- Sections: 5.8,6.1, 6.2
- Important Concepts: area of plane regions, method of cross sections, Cavalieri’s principle
- Homework: : (Due on July 15)
- 5.8: 1, 2, 5, 8, 9, 11, 14, 25, 29, 32, 37, 46
- 6.2: 2, 7, 10, 17, 20, 25, 35, 46

·
**July 15:**

- Sections: 6.3, 6.4, 6.5
- Important Concepts: solid of revolution, method of cylindrical shells , arc length, surface of revolution, force, work
- Homework: (This is a bonus homework, due on July 17 or
July 24
^{th}with the final) - 6.3: 3, 7, 12, 16, 42
- 6.4: 2, 3, 5, 8, 12, 14, 17

·
**July 17**:

- Exam review (Questions Session)
- Final exam distributed, due July 24 by 5 pm

·
**July 24**:

- Final exam due by 5 pm