# MATH 101: Single Variable Calculus I - Summer 2007

Instructor: Christian Bruun
Office: Herman Brown 14
Tel: (713) 348-8304
Email: cbruun@rice.edu
Time: TTh 10 am – 12 pm, 1 pm – 2 pm
Location: AL B209

Syllabus (PDF)

Announcements
• June 5: Office hours will be on Mondays 3pm - 5pm and Wednesdays 3pm - 5pm, in Herman Brown 14.

• June 20: The first midterm exam will be in class on Thursday, June 21. There is a sample version of the exam online.

• June 26: New Office Hours: Office hours are now on Mondays 1pm - 3p, and Wednesdays 1pm - 3pm, in Herman Brown 14.

• June 28: Class on July 3rd is cancelled. Several people have told me that they will be out of town, so we will not have class on July 3rd. Please return the homework assignment from the June 28th class on July 5th. The homework assignment for July 3rd will not be graded, but I still recommend you work on it.

• July 4: The second midterm exam will be in class on Tuesday, July 10. There is a sample version of the exam online.

Schedule
• June 5:

• 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, derivative
• Homework:
• 1.1: 2, 10, 13, 17, 23, 24, 37, 44, 45
• 1.2: 6, 12, 13, 18, 34, 53, 56, 67, 70
• 1.3: 4, 7-12, 13-16, 17-20
• 1.4: 1-10, 26, 28
• 1.MP: 25-34
• June 7:

• 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:
• 2.1: 7, 8, 18, 22, 29, 31, 32, 33
• 2.2: 1, 3, 6, 10, 14, 19, 22, 29, 33, 36, 37, 38, 45, 64
• 2.3: 1, 7, 8, 21, 25, 26, 32, 33, 51, 59, 70, 71
• June 12:

• 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:
• 2.4: 1, 3, 8, 10, 11, 15, 27, 39, 41, 45, 49, 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, 42
• June 14:

• 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:
• 3.3: 4, 7, 8, 11, 13, 14, 17, 28, 31, 44, 49
• 3.4: 8, 12, 15, 39, 42, 47, 66
• 3.5: 5, 8, 9, 11, 18, 20, 25, 38, 45
• 3.6: 3, 5, 6, 11, 16, 19, 31
• June 19:

• Sections: 3.7, 3.8, 3.9, 3.10
• Important Concepts: derivative of trigonometric/exponential/logarithmic/inverse functions, implicit differentiation, related rates, Newton’s method
• Homework:
• 3.7: 3, 6, 15, 28, 34, 67, 70
• 3.8: 2, 3, 11, 28, 36, 39, 42, 48, 50, 65
• 3.9: 2, 7, 9, 19, 26, 35, 46, 52
• 3.10: 3, 9, 17, 22
• June 21:

• Midterm Exam #1
• 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:
• 4.2: 22, 23, 25
• 4.3: 7, 9, 13, 16, 21, 26, 27, 30, 33, 35, 37, 42
• 4.4: 3, 8, 13, 17, 22, 24, 29, 30, 41
• June 26:

• 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, 37, 45, 48, 51, 52
• 4.6: 2, 9, 12, 17, 22, 25, 26, 30, 33, 37, 45, 50, 63, 69, 86
• 4.7: 29, 33, 36, 42, 43, 47
• June 28:

• Sections: 4.8, 4.9
• Important Concepts: indeterminate forms, L’Hôpital’s rule, order of magnitude
• Homework:
• 4.8: 1, 4, 5, 10, 20, 22, 25, 34, 35, 41, 46, 48, 55, 58, 61, 68
• 4.9: 1, 3, 8, 12, 18, 21, 23, 43, 44, 47, 52
• July 3: Class is cancelled.

• Sections: 5.2, 5.3
• Important Concepts: differential equations, antiderivative, indefinite integral, initial condition, summation notation
• Homework: Optional (Will not be graded.)
• 5.2: 2, 3, 4, 7, 13, 16, 19, 23, 30, 31, 36, 40, 45, 49
• 5.3: 3, 5, 11, 12, 17, 20, 26, 29, 36, 39, 40, 46, 50
• July 5:

• Sections: 5.4, 5.5
• Important Concepts: partition, selection, Riemann sum, integral, properties of integrals
• Homework:
• 5.4: 1, 2, 4, 10, 11, 13, 31, 33, 41, 44, 47, 49, 58
• 5.5: 2, 4, 11, 13, 15, 24, 27, 33, 38, 39, 45, 48, 52, 54
• July 10:

• Midterm Exam #2
• Sections: 5.6, 5.7
• Important Concepts: average value of a function, fundamental theorem of calculus, integration by substitution
• Homework:
• 5.6: 1, 6, 10, 13, 14, 17, 22, 30, 32, 34, 35, 45, 46, 52, 56, 57, 62
• 5.7: 2, 3, 7, 8, 13, 18, 25, 29, 38, 50, 58, 62, 66
• July 12:

• Sections: 5.8, 5.9, 6.1
• Important Concepts: elementary function, integral approximation methods, Riemann sum approximation
• Homework:
• 5.8: 1, 2, 5, 8, 9, 11, 14, 25, 29, 32, 37, 46
• 5.9: 2, 5, 15, 18, 21
• 6.1: 2, 6, 8, 10, 12, 14, 16, 20, 26, 37, 38, 42
• July 17:

• Sections: 6.2, 6.3, 6.4, 6.5
• Important Concepts: method of cross sections, Cavalieri’s principle, solid of revolution, method of cylindrical shells, arc length, surface of revolution, force, work, Hooke’s law, gravity
• Homework:
• 6.2: 2, 7, 10, 17, 20, 25, 35, 46
• 6.3: 3, 7, 12, 16, 42
• 6.4: 2, 3, 5, 8, 12, 14, 17, 19, 23, 25, 33, 34, 41
• 6.5: 2, 4, 6, 9, 13, 28
• July 19:

• Exam review
• Final exam distributed, due July 26 by 5 pm
• July 26:

• Final exam due by 5 pm