MATH 101: Single Variable Calculus I - Summer 2009

Instructor: Fei Xu
Office: Herman Brown 42
Tel: (713) 348-8304
Email: fx4533@rice.edu
Time: MTWRF 9:00 am - 12:05 pm
Location: TBA

Syllabus (PDF)

Announcements

 

Schedule

·         May 12:

    • Introduction to Math 101, 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: Optional (Will not be graded.)
      • 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

·          May 13:

o        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: Optional (Will not be graded.)
      • 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

·         May 14:

    • 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: Optional (Will not be graded.)
      • 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

·         May 15:

    • 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: Optional (Will not be graded.)
      • 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

·         May 18:

    • 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: Optional (Will not be graded.)
      • 3.7: 3, 6, 15, 28, 34, 67, 70
      • 3.8: 2, 3, 11, 28, 36, 39, 42, 48, 50, 59, 61, 65
      • 3.9: 2, 7, 9, 19, 26, 35, 46, 52
      • 3.10: 3, 9, 17, 22

·         May 19:

    • 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: Optional (Will not be graded.)
      • 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

·         May 20:

    • Sections: 4.5, 4.6, 4.7
    • Important Concepts: curve sketching, behavior at infinity, higher derivatives, concavity, inflection points, asymptotes
    • Homework: Optional (Will not be graded.)
      • 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

·         May 21:

    • Sections: 4.8, 4.9 ,5.2, 5.3
    • Important Concepts: indeterminate forms, L’Hôpital’s rule, order of magnitude, differential equations, antiderivative, indefinite integral, initial condition, summation notation
    • Homework: Optional (Will not be graded.)
      • 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
      • 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

·         May 22:

    • Sections: 5.4, 5.5
    • Important Concepts: partition, selection, Riemann sum, integral, properties of integrals
    • Homework: Optional (Will not be graded.)
      • 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

·         May 26:

    • Midterm Exam #2
    • Sections: 5.6, 5.7
    • Important Concepts: average value of a function, fundamental theorem of calculus, integration by substitution
    • Homework: Optional (Will not be graded.)
      • 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

·         May 27:

    • Sections: 5.8, 5.9, 6.1
    • Important Concepts: elementary function, integral approximation methods, Riemann sum approximation
    • Homework: Optional (Will not be graded.)
      • 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

·         May 28:

    • 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: Optional (Will not be graded.)
      • 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

·         May 29:

    • Exam review
    • Final exam distributed, due May 30 by 12pm