MATH 101: Single Variable Calculus I - Summer 2008

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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)

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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 greatJ

· The second midterm exam is available.

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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

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