Where and When: Tuesdays and Thursdays, 3:30-5:10pm
and 8:10-9:50pm.
Text: Algebra and Trigonometry
(customized edition for Brooklyn College), Stewart/Redlin/Watson.
Examinations and grading: There will be weekly homeworks, two midterm examinations, and the ever-popular comprehensive final examination. There will very likely be a couple of projects, as well.
| What | When | % of Final Grade | |
| Midterm I |
March 9-th/14-th |
take-home |
25% |
| Midterms | April 27-th |
in class |
25% |
| Final Exam | time TBA |
TBA |
30% |
| Homeworks, Projects, etc. | 20% | ||
Homework and reading: You can not learn precalculus
without working
problems. Mathematics is not a spectator sport; you must work problems
in
order to
fully understand the
material. Consequently, homework will be collected and
graded, and your grade on the homework is a significant piece of your
final
grade. The list of homework assignments and
the most
current schedule of topics can be found on the class web page.
It will change, so check it regularly. They will be due in class on the
Thursday following the week
they are
assigned. Do all of the assigned problems, as well as additional ones
to study.
If you do not understand how to do something, get help from your
lecturer, your classmates, or in the Math Learning Center.
You are encouraged to study with and discuss problems with
others from the class, but write up your own homework by yourself.
Although I will cover in class all of the material
for which you are responsible to learn, the textbook is intended to be
read. You could even try to read the assigned
sections before the lecture! This will greatly increase your
comprehension, and enable you to ask questions in class.
Instructor: Anca Radulescu, office 1317A, Ingersoll
Office hours: TBA. Note that I am in the Math Department only on
Tuesdays and Thursdays. If you need different accomodations, please
contact me personally or by email.
Disabilities: If you have a physical, psychological, medical or learning disability that may impact your course work, please contact Disability Support Services. They will determine with you what accommodations are necessary and appropriate. All information and documentation is confidential.
Students requiring emergency evacuation are encouraged to discuss
their
needs with their professors and Disability Support Services.
Integers, rational numbers, real numbers.
Order properties, number line, intervals, absolute values
Inequalities (linear, quadratic, simple ones involving absolute values)
Complex numbers (briefly)
Rectangular coordinates; distance formula
Relations and their graphs
Definition, domain, range
The graph of a function
Linear functions, lines, slopes, etc
Quadratic functions and parabolas. Completing the square. Range of
quadratic functions and quadratic inequalities.
Composition of functions
One-to-one and onto functions
Inverses of functions. When does a function have an inverse?
Intercepts, symmetry, assymptotes
Limits at infinity and horizontal asymptotes; graphs of simple rational
functions
Graphs of quadratic relations; conic sections
Review of long division
Remainder and factor theorems
Fundamental Theorem of Algebra
Synthetic division
Rational root test
Definitions and properties of the exponential function with base
a>0. Graph. Examples
Definition and properties of the log of base a. The natural log.
Logarithmic equations
Trigonometric functions in a right triangle
The unit circle and radian measures
Definition of the six trigonometric functions for genral arguments
Graphs of the six functions. Periodicity
Trigonometric formulas for sum and difference of two angles, double
angle, half angle. Pythagorean identities
Laws of sines and cosines
Inverse trigonometric functions. Domain, range, graphs