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Math 311 Syllabus Fall 2014
Transcript of Math 311 Syllabus Fall 2014
Habits of Mind
Dr. Gail Tang
Calculus III: Math 311
Life’s most persistent and urgent question is: “What are you doing for others?”
Office: Founders Hall 108C
*I will be emailing you A LOT, so check your email frequently
Office Hours: By Appt
"The illiterate of the future will not be the person who cannot read. It will be the person who does not know how to learn"
Give a man a fish and you feed him for a day. Teach a man to fish and you will feed him for a lifetime.
Four Core Values of ULV
use resources and identify relevant data.
seek answers to your question before asking others, but know when to seek help from others.
keep up with your needs and seek help when needed.
accept the consequences of decisions you make, e.g. not turning in homework, not attending class (Attendance is not a percentage of your grade, but it will be reflected in your grade if you miss many classes.)
monitor and evaluate your progress, continually asking yourself, “Does this make sense?”,
teach yourself content
teach each other content
articulate what you don’t understand and why
make your thinking visible
- Dr. Martin Luther King, Jr.
work with others
explain your approach to others
understand the approaches of others, determine if these approaches make sense, ask questions to clarify or improve approaches
clearly communicate with others, verbally or in written form.
Make sense of problems:
explain the meaning of the problem to yourself, or a colleague/friend,
look for entry points to the problem’s solution by analyzing its givens, constraints, relationships, and goals,
make a conjecture about the form and meaning of the solution; explore the truth of the conjecture
plan a solution pathway and change course if necessary,
try analogous problems, i.e., special cases or simpler forms of the original problem.
represent the problem symbolically and manipulate the symbols while ALSO attending to the meaning of those symbols with respect to the original problem (cycling between decontextualizing and contextualizing).
break the problem into cases,
draw diagrams of important features of the problem,
transform algebraic expressions,
change viewing window on your graphing calculator
explain relationships between
consider the units involved,
look for trends and patterns
check your answer using a different method,
be able to understand the approaches of others, determine if these approaches make sense,
ask questions to clarify or improve approaches,
understand the connections between different approaches.
Calculus, Larson, 10e
WebAssign will check all your answers. You will be given 9 chances to complete a problem. This portion is worth
Doing the homework exercises your brain by using what you have learned. Homework is worth
of your grade. There will be HW due every class. It will get turned in twice.
You are to write out and turn in the HW. I will grade a couple of problems, or give you a completion credit. If your HW is not legible, it is considered not grade-able. This portion is worth
This HW is to be turned in on 8.5x11 paper. In the upper left-hand corner, write your name, the due date, the section and problem number(s), Math 311 Fall 2014. In the upper right-hand corner, write your number.
I don’t accept late homework, but
WebAssign does. Your WebAssign grade, P(x), is represented by the following formula:
where Po is your grade if it wasn’t late, and x is how many days your HW is late.
Since our class is based on community building, we will do group activities. These will be worth
of your grade.
The purpose of the quiz is to keep me updated on your progress while allowing you to make use of the information you have learned.
There will be 3 semester exams (
15%, 10% (take home), 15%
, respectively) and a cumulative final exam (
). Make-up tests will only be given for absences deemed justifiable by the instructor (e.g., illness, family emergency), and may be considerably more difficult than the original test. The university fee for a make up-test is $40. If you will not be able to attend class the day of a test, please inform me by phone before or on the day of the test prior to the testing time.
Each semester test will have 2 parts:
- 75% will test on basic skills (Hard Skills).
- 25% will test on creativity, critical-thinking, sense-making, connection-making and other soft skills.
Classroom Etiquette and Academic Honesty
is the most important expectation in this class. If any student shows any sign of disrespect to each other, or to me, s/he will be asked to leave the classroom and a meeting will be called to discuss his/her behavior. If necessary, “enrollment in a class may be terminated due to unsatisfactory conduct in the class; disrespect toward an instructor” (University Catalog, 2014 – 2015, p.57).
Cellphones, tablets, laptops are allowed in class only when specified.
Texting, emailing or other off-task activities
are not permitted during class. Cellphones must be silenced during class. Phones may NOT be used as calculators for in-class exams. If these rules are violated, phones will be confiscated and returned at the end of class.
Plagarism or copying others’ work
are major offenses. All assignments will be scanned. If this rule is violated, “appropriate disciplinary action may include, but is not limited to, requiring the student to rewrite a paper or retake a test, giving the student an F on the assignment and/or in the course, and/or recommending expulsion” (University Catalog, 2014 – 2015, p. 58).
(10.2) Plane curves and parametric equations
sketch the graph of a curve given by a set of parametric equations
eliminate the parameter in a set of parametric equations
find a set of parametric equations to represent a curve
understand the tautochrome and brachistochrome problems
(10.3) Parametric equations and calculus; slopes, arc lengths, areas of surfaces of revolution
find the slope of a tangent line to a curve given by a set of parametric equations
find the arc length of a curve given by a set of parametric equations
find the area of a surface of revolution (parametric form)
(10.4) Polar coordinates and polar graphs; tangent lines and curve sketching
understand the polar coordinate system
rewrite the rectangular coordinates and equations in polar form and vice versa
sketch the graph of an equation given in polar form
find the slope of a tangent line to a polar graph
identify several types of special polar graphs
(10.5) Area and arc length in polar coordinates
find the area of a region bounded by a polar graph
find the points of intersection of two polar graphs
find the arc length of a polar graph
find the area of a surface of revolution (polar form)
You will be able to:
(14.1) Iterated integrals and area in the plane
evaluate an iterated integral
use an iterated integral to find the area of a plane region
(14.2) Double integrals and volume
use a double integral to represent the volume of a solid region
use properties of double integrals
evaluate a double integral as an iterated integral
find the average value of a function over a region
(14.3) Change of variables: polar coordinates
write and evaluate double integrals in polar coordinates
(14.4) Center of mass and moments of inertia
find the mass of a planar lamina using a double integral
find the center of mass of a planar lamina using double integrals
find the moments of inertia using double integrals
(14.5) Surface area
use a double integral to find the area of a surface
(14.6) Triple integrals and applications
use a triple integral to find the volume of a solid regio
find the center of mass and moments of inertia of a solid region
(14.7) Triple integrals in cylindrical and spherical coordinates
write and evaluate a triple integral in cylindrical and spherical coordinates
(11.1) Vectors in the plane
write the component form of a vector
perform vector operations and interpret the results geometrically
write a vector as a linear combination of standard unit vectors
use vectors to solve problems involving force or velocity
(11.2) Space coordinates and vectors in space
understand the three-dimensional rectangular coordinate system
analyze vectors in space
use three-dimensional vectors to solve real-life problems
(11.3) The dot product of two vectors
use properties of the dot product of two vectors
find the angle between two vectors using the dot product
find the direction cosines of a vector in space
find the projection of a vector onto another vector
use vectors to find the work done by a constant force
(11.4) The cross product of two vectors in space
find the cross product of two vectors in space
use the triple scalar product of three vectors in space
(11.5) Lines and planes in space
write a set of parametric equations for a line in space
write a linear equation to represent a plane in space
sketch the plane given by a linear equation
find the distances between points, planes, and lines in space
(11.7) Cylindrical and spherical coordinates
use cylindrical coordinates to represent surfaces in space
use spherical coordinates to represent surfaces in space
(12.1)Vector-valued functions (v.v.f.'s)
analyze and sketch a space curve given by v.v.f's
extend the concepts of limits and continuity to v.v.f's
(12.2) Differentiation and integration of v.v.f.'s
differentiate and integrate a v.v.f.
(12.3) Velocity and acceleration
Describe the velocity and acceleration associated with a v.v.f
use a v.v.f. to analyze projectile motion
(12.4) Tangent vectors and normal vectors
find unit tangent vector at a point on a space curve
find the tangential and normal components of acceleration
(12.5) Arc length and curvature
find the arc length of a space curve
use the arc length parameter to describe a plane curve or space curve
find the curvature of a curve at a point on the curve
use a vector-valued function to find frictional force
(9.1) Sequences of real numbers
list the terms of a sequence
determine whether a sequence converges or diverges
write a formula for the nth term of a sequence
use properties of monotonic sequences and bounded sequences
(9.2) Series and convergence; geometric series
understand the definition of a convergent infinite series
use properties of infinite geometric series
use the nth term test for divergence of an infinite series
(9.3) The integral test and p-series test
use the integral test to determine whether an infinite series converges or diverges
use properties of p-series and harmonic series
(9.4) Direct comparison and limit comparison tests
use the direct comparison test and limit comparison test to determine whether a series converges or diverges
(9.5) Alternating series
use the alternating series test to determine whether an infinite series converges
use the alternating series remainder to approximate the sum of an alternating series
classify a convergent series as absolutely or conditionally convergent
rearrange an infinite series to obtain a different sum.
(9.6) Ratio and root tests
use the ratio and root tests to determine whether a series converges or diverges
review tests for convergences and divergences of an infinite series
(9.7) Taylor polynomials and approximations
find polynomial approximations of elementary functions and compare them with the elementary functions
find taylor and mclaurin polynomial approximations of elementary functions
use the remainder of taylor polynomial
(9.8) Power series
understand the definition of a power series
find the radius and interval of convergence of a power series.
determine the endpoint convergence of a power series.
differentiate and integrate a power series
(9.9) Representation of functions by power series
find a geometric power series that represents a function
construct a power series using series operations
(9.10)Taylor and Maclaurin series
find a taylor or maclaurin series for a function
find a binomial series
use a basic list of taylor series to find other taylor series
You will be able to:
be OK with struggling at the problems you’re given
be confused and embrace your confusion
be comfortable with the unknown, and with being wrong
be OK with taking risks and making mistakes
try new things with no fear
use knowledge from one topic and apply it to another topic
work hard (hard work, not intelligence, will be the key to success)
actively read text
spend at least 3 hours out of class, per 1 hour in class
SLEEP. Results from a study by Dr. Avi Sadeh (2003) showed, “a loss of one hour of sleep is equivalent to [the loss of] two years of cognitive maturation and development.” Bronson & Merryman (2009) write that this is because neurons lose plasticity if sleep deprived, so tired people can’t remember what they learned. Neurons form new synaptic connections that are necessary to encode a memory. Biologically, sleep lose debilitates the body from extracting glucose from bloodstream. As a result, the prefrontal cortex – which is responsible for “executive functions” including: orchestration of thoughts to fulfill a goal, prediction of outcomes, perceiving consequences of actions – suffers. Tired people have problems with impulse control, so abstract goals like studying take a backseat to entertaining diversions.
"I also think that something interesting comes out when you do something that you're afraid of, so I try to take things that I'm not sure that I can do."
You start with a 0.
You must earn your grade.
If you feel WebAssign graded you unfairly for a question, take a screen shot and email it to me. Make sure you get the WebAssign number on the upper-right side of the number.
Quizzes are worth
of your grade.
There are no make-up quizzes.
DO NOT put passwords or register your pens.
I reserve the right to make changes to this syllabus.
Diversity and Inclusivity
Community and Civic Engagement
The University affirms a value system that actively supports peace with justice, respect of individuals and humanity and the health of the planet and its people. Students are reflective about personal, professional, and societal values that support professional and social responsibility.
The University supports a diverse and inclusive environment where students recognize and benefit from the life experiences and viewpoints of other students, faculty and staff.
The University promotes intellectual curiosity and the importance of lifelong learning. It teaches students how to learn, to think critically, to be capable of original research, and to access and integrate information to prepare them for continued personal and professional growth.
The University asserts a commitment to improving and enhancing local, regional and global communities.
You will receive 4 challenging take-home quizzes that require information learned previously, either from class or homework, and may also require some extra research on your part. These will be recorded with your Livescribe pens. Livescribe pens and notebooks/pages will be collected for the quizzes. Failure to turn back Livescribe Pens at the end of the semester will forfeit your quiz grade.
These will be 20-minute quizzes that test basic skills. There will about one every two weeks.