Tuesday, October 25 Lecture 18 : Derivatives and the shape of a graph. (Refers to
Section 4.3 and 4.4 in your text)
Students who have mastered the content of this lecture know about: The First derivative test, concavity,
what defines concave upwards and c
Tuesday, November 22 Lecture 30 : Volumes of a solid of revolution: Crosssection (slicing) method (Refers to Section 7.2 in your text)
Students who have mastered the content of this lecture know: what computing the volume of solid by
cross-section means,
Friday, November 25 Lecture 32 : Applications : Work and energy (Refers to Section 7.4 in
your text)
Students who have mastered the content of this lecture know: what the amount of work W performed by F(x) on
the mass m over the distance d is.
Students wh
Thursday, December 1 Lecture 34 : Hydrostatics (Refers to Section 7.6 in your text.)
Students who have mastered the content of this lecture know: the basic principles of the force
exerts on a wall due to hydrostatic pressure.
Students who have practiced t
Tuesday, November 29 Lecture 33 : The center of mass (Refers to Section 7.5 in your
text)
Students who have mastered the content of this lecture know: what the first moment wither respect to the xaxis and with respect to the y-axis is, about the center of
Tuesday, September 20 Lecture 5 : Continuation of lecture on Limits (Refers to
Section 2.1 to 2.3 in your text) (Note: This is the continuation of lecture 4 and so its content appears as the same.)
Students who have mastered the content of this lecture kn
Thursday September 22 Lecture 6 : Continuous functions. (Refers to Section 2.5 in
your text)
Students who have mastered the content of this lecture know about:
The definition of f is continuous at a, continuity from the left or right of a, a function bein
Thursday September 22 Lecture 7 : Differentiation. (Refers to Section 3.1 and 3.2
of your text)
Students who have mastered the content of this lecture know about:
The definition of tangent line, average rate of change of a function over an interval, the t
Friday, September 30 Lecture 11 : Derivatives of the inverse of functions. (Refers
to Section 3.7 in your text)
Students who have mastered the content of this lecture know about:
The inverse of the trig functions, the derivative of arcsin x, arcos x, arct
Friday, September 30 Lecture 10 : Differentiation of trig functions and
exponential functions. (Refers to section 3.3 in your text)
Students who have mastered the content of this lecture know about:
The derivatives of trig functions, the derivatives of ex
Thursday, November 24 Lecture 31 : Volumes of solids of revolution: cylindrical
shells method. (Refers to Section 7.3 in your text)
Students who have mastered the content of this lecture know: what computing the volume of solid by
cylindrical shells means
Tuesday, November 15 Lecture 27 : Integration by substitution (Refers to Section
6.1 your text)
Students who have mastered the content of this lecture know: About differentials, integration by change
of variable (equivalently, by substitution).
Students w
Friday, November 18 Lecture 29 : Curve length. (Refers to Section 7.1 your text)
Students who have mastered the content of this lecture know: About the curve length or arclength of the
curve of a function f(x).
Students who have practiced the techniques p
Friday, November 4 Lecture 23 : The definite integral (Refers to Section 5.2 in your
text)
Students who have mastered the content of this lecture know about: The definition of the definite
integrals, area, net area
Students who have practiced the techniqu
Friday, October 28 Lecture 20 : Optimization problems (Refers to Section 4.7 in
your text)
Students who have mastered the content of this lecture know about: Optimization problem and how they
relate to absolute max and min of a function.
Students who have
Thursday, October 27 Lecture 19 : Curve sketching (Refers to Section 4.6 in your
text)
Students who have mastered the content of this lecture know about: The First derivative test, concavity,
what defines concave upwards and concave downward, inflection p
Tuesday, November 1 Lecture 21: Indeterminate forms and lHpitals rule
(Refers to Section 4.5 in your text)
Students who have mastered the content of this lecture know about: LHpitals rule.
Students who have practiced the techniques presented in this lectu
Thursday, November 3 Lecture 22: Riemann sums (Refers to Section 5.1 in your
text)
Students who have mastered the content of this lecture know about: Sigma notation, Riemann sums
Students who have practiced the techniques presented in this lecture will be
Tuesday, November 8 Lecture 24 : Properties of definite integrals (Refers to
Section 5.2 in your text)
Students who have mastered the content of this lecture know about: The elementary properties of
the definite integral.
Students who have practiced the t
Thursday, November 10 Lecture 25 : Fundamental theorem of calculus. (Refers to
Section 5.4, 5.5 in your text)
Students who have mastered the content of this lecture know: The Fundamental theorem of calculus, the
definition of antiderivative and the genera
Thursday, November 17 Lecture 28 : Average value of a function. (Refers to
Section 7.7 your text)
Students who have mastered the content of this lecture know: About the average value of a function
over an interval [a, b], the mean value theorem for integr
Friday, November 11 Lecture 26 : Antiderivatives (Refers to Section 5.4, 5.5 in your
text)
Students who have mastered the content of this lecture know about: The Fundamental theorem of
calculus, the general antiderivative of a function, the indefinite int
Tuesday, October 4 Lecture 12 : Implicit differentiation, logarithmic differentiation,
higher-order derivatives (Refers to section 3.8 and 4.3 pp. 260-64)
Students who have mastered the content of this lecture know about: The derivatives of log functions,
Thursday, October 6 Lecture 13 : Differentials and linearization. (Refers to Section 4.1 in
your text)
Students who have mastered the content of this lecture know about: The definition of the differential of a function
f(x), the linearization of f(x) near
Tuesday, October 11 Lecture 15 : Related rates problems, velocity. (Refers to
Section 4.2 in your text)
Students who have mastered the content of this lecture know about: Related rate problems.
Students who have practiced the techniques presented in this
Monday, November 16 Lecture 28 : Fundamental theorem of calculus. (Refers to
Section 6.3 and 6.4 in your text)
Students who have mastered the content of this lecture know: The Fundamental theorem of calculus, the
definition of antiderivative and the gener
Wednesday, November 11 Lecture 25: Riemann sums (Refers to Section 6.1 and
6.2 in your text (D. Trim)
Students who have mastered the content of this lecture know about: Sigma notation, Riemann sums
Students who have practiced the techniques presented in t
Wednesday, November 18 Lecture 29 : Antiderivatives (Refers to Section 6.xx in
your text)
Students who have mastered the content of this lecture know about: The Fundamental theorem of
calculus, the general antiderivative of a function, the indefinite inte
Monday, November 23 Lecture 31 : Integration by parts
Students who have practiced the techniques presented in this lecture should be able to: Recognize those
integrals which are best integrated by the technique "Integration by parts", apply the technique
Wednesday, November 25 Lecture 32 : Average value of a function.
Students who have mastered the content of this lecture know: About the average value of a function
over an interval [a, b], the mean value theorem for integrals.
Students who have practiced
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University of Waterloo
Department of Applied Mathematics
MATH 116 Calculus 1 for Engineering
Midterm Examination Fall 2005
October 25, 2005, 7 - 9 pm.
NO CALCULATORS ALLOWED.
_._-
Family name (print):
I.D. Number:
M
Signature: _._._._-
Please indica
University of Waterloo
MATH 116 Fall 2009
Midterm Exam
Friday, October 23, 2009 (7:00-9:00 pm)
Name (print): m
ID Number.
Signaturj l , i
\K , f
h
Please indicate your section:
Instructions:
Calculators are NOT allowed.
Show all of your work. Use the ba
University of Waterloo
Math 116 - Calculus I for Engineering
Midterm Examination Fall 2013
Tuesday, October 15th. Time: 4:45 - 6:35 pm (1 hour and 50 minutes)
Name (print):
I.D. Number:
Signature:
Please indicate your section:
[3 Math 116-001 (CHE)