Contents:
Course Description:
This course will introduce to the students the concepts,
theories and computational techniques involving vectors, algebraic
representations of curves and surfaces in Space, partial differentiations and
multiple integrals, vector fields and vector analysis, and, of course, their
applications to daily life problems, especially in geometry, physics and
engineering. Some basic facts on Linear Algebra will also be introduced, as
preparation for the students to get ready to move on to further scientific
studies using Linear Algebra as a tool.
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Textbooks:
(1) Calculus with Analytic Geometry, Fifth Edition, Edwards
and Penny
(2) Selected materials from Elementary Linear Algebra (West
Virginia University), Edwards and Penny
They are both available in the University Book Store and they
are also reserved in the Math Library.
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Preparation of the Course:
Officially, having a passing grade in Math 156 would qualify a
student to take Math 251. However, students who plan to take Math 251 should
know that to perform well in Math 251, one must be familiar with the basic
algebra and calculus techniques
(such as determining the domain and range of a function, factoring a quadratic polynomial, using quadratic formula and the
binomial formula, basic techniques in finding limits, derivatives, and antiderivatives,
among others). It is strongly recommended that students review these techniques
in order to get well prepared for Math 251. You can click the
Problem
Conner and select HongJian's Tips to get help for refreshing some of your
mathematical techniques. You may also post your question/problem in the
Problem
Corner, which will be answered by other fellow students, or periodically by the
instructor.
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Instructor Information:
INSTRUCTOR: HongJian Lai
OFFICE: Room 308K, Armstrong Hall.
OFFICE PHONE: 2932011 Ext 2348.
OFFICE HOURS: 1:00PM2:00PM, Mondays, Wednesdays and
Fridays (or by appointment ).
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Performance Evaluation:
Students will be given a list of suggested homework
problems (click Syllabus in the box above to find the list) as a
minimum homework requirement. Students' performance will be evaluated
by the weekly quizzes and worksheets. Problems concerning the homework will be discussed in class
or in the Problem Conner of this web page. Students' performance will
also be evaluated by the midterm exams and the comprehensive final
exam (Exam schedule listed on this web page is subject to change. Any
such changes will be announced in class at least one week in advance.
Click Exam Schedule to find exam schedule updates).
Please note that a student should take the
responsibility if s/he misses an exam by missing the classes in which
changes of schedule are made.
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Makeup Exam Policy:
Makeup exams will only be given in the case of
sickness or other kinds of emergency. Missing a bus, oversleeping, other tests
the same day, etc., are not sufficient reasons for missing a test.
The student will be asked to document the circumstances which caused
missing the test, and the student must contact the instructor to
arrange the makeup as soon a possible.
WARNING: out of fairness to the students who take
the test the scheduled time, a makeup exam will be harder than
the regular test, to reflect the extra time you will have had to prepare.
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Grading (Expectation and policy):
Top performing students are expected to demonstrate
clear comprehension of the mathematical concepts/theories being
lectured in this course and a high level of computational skills
involved. To be more precise, students who can correctly apply the
mathematical concepts/theories to solve problems that require both
basic and complex techniques with accurate results deserve a
grade A; students who can correctly apply the mathematical
concepts/theories to solve problems that require basic techniques and
some of the complex techniques with accurate results deserve a grade
B; and students who can correctly apply the mathematical
concepts/theories to solve problems that require basic techniques with
accurate results deserve a grade C. Please refer the ScoreGrade table
for the grading standard.
Score 
Grade 
90% and up 
A 
8089% 
B 
7079% 
C 
6069% 
D 
59% and down 
F 
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