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Academics/Mathematics/Math Curriculum

Robert College Mathematics Department

Course Descriptions 2012-2013

 

REQUIRED COURSES

 

 

Lise Prep Math ( 2 periods per week )

 

A one year required course. This is a first year algebra course for ESL students which emphasizes important vocabulary and covers decimals, fractions, square roots and cube roots, polynomials, multiplying and factoring polynomials, sets, solving quadratic equations by factoring and iteration and basic geometry terminology.

 

 A TI-84+ graphing calculator is required for the course.

 

 

Lise 9 Math ( Algebra: 4 periods per week  & Geometry: 2 periods per week )

 

Algebra: A one year required second year algebra course consisting of coordinate geometry, lines and parabolas, linear and quadratic functions, absolute value, inequalities in one and two variables, polynomials, rational functions, radicals and irrational numbers, complex numbers, nth degree polynomials and equations, functions and relations, power functions, linear transformations, operations on functions, inverse functions, laws of exponents, exponential functions, logarithmic functions, laws of logarithms.

Geometry: A one year required geometry course. Topics chosen from plane geometry and coordinate geometry.

 

 A TI-84+ graphing calculator is required for the course.

 

Text book: Advanced Mathematics (Brown; Houghton Mifflin; 1994, 1997, 2000 or 2003 ed.)


Lise 10 Math
( 5 periods per week )

 

A one year required pre-calculus course consisting of trigonometric functions, inverse trigonometric functions, trigonometric equations, trigonometric identities, right triangle trigonometry, law of cosines, law of sines, area of a triangle, polar coordinates and graphs, powers and roots of complex numbers, De Moivre’s Theorem, sequences and series, introductory probability and statistics.

 

 A TI-84+ graphing calculator is required for the course.

 

Text book: Advanced Mathematics (Brown; Houghton Mifflin; 1994, 1997, 2000 or 2003 ed.)


ELECTIVE COURSES

 

Math 3 - Advanced Placement Calculus AB ( Lise 11/12 students; 5 periods per week )

 

A one year mathematics elective consisting of limits, derivative as a limit, derivatives of polynomial functions, the product and quotient rule for differentiation, the chain rule, implicit differentiation, applications of the first and second derivative including graphing, minimax problems and related rates, derivatives of trigonometric, logarithmic and exponential functions, methods of integration, area between curves, volumes of revolution, and L'Hopital's rule.

 

 A TI-84+ graphing calculator is required for the course.

 

Students are encouraged to take the Advanced Placement Calculus AB exam.

 

Text book: Calculus (Thomas, Finney; Addison Wesley; 12th ed.)



Math 4 - Advanced Geometry ( Lise 12 students; 5 periods per week )

 

A one year geometry elective which focuses on solving challenging problems. The student is expected to draw on material covered in all previous and current math courses. Students are expected to develop their abilities in analyzing and solving problems and be able to communicate clearly the steps taken to their solutions.

 

Math 5 - Probability & Statistics ( Lise 11/12 students; 5 periods per week )

 

A one year elective designed for the student to do advanced work in probability and to get an introduction to the mathematics of descriptive and inferential statistics. It consists of probability theory, techniques of counting, numerical data, random variables, probability functions, Binomial and Normal distributions, sampling and estimation and confidence intervals.

 

 A TI-84+ graphing calculator is required for the course.

 

Text book (for some topics): Advanced Mathematics (Brown; Houghton Mifflin; 1994, 1997, 2000 or 2003 ed.)


Math 6  - Advanced Placement Calculus BC   ( Lise 11 students;  6 periods per week )

 

A mathematics elective consisting of limits, derivative as a limit, derivatives of polynomial functions, the product and quotient rule for differentiation, the chain rule, implicit differentiation, applications of the first and second derivative including graphing, minimax problems and related rates, derivatives of trigonometric, logarithmic and exponential functions, methods of integration, area between curves, volumes of revolution, L'Hopital's rule, vector functions, derivatives of vector functions, logistic curves, graphs in polar coordinates, functions defined by integrals, volumes by cross sections, arc length, area of a surface of revolution, improper integrals, integration by parts, partial fractions, sequences and series, slope fields and elementary differential equations.

 

A TI-84+ graphing calculator is required for the course.

 

Students are encouraged to take the Advanced Placement Calculus BC exam.
 

 

Text book:  Calculus (Thomas, Finney; Addison Wesley; 12th ed.)

 


Math 6 - Advanced Placement BC Calculus ( Lise 12 students; 5 periods per week )

 

 A one year calculus elective designed for students who have already passed Math 3 (AP Calculus AB) in Lise 11. This elective includes a review of the topics of Math 3 plus vector functions, derivatives of vector functions, logistic curves, graphs in polar coordinates, functions defined by integrals, volumes by cross sections, arc length, area of a surface of revolution, improper integrals, integration by parts, partial fractions, sequences and series, slope fields and elementary differential equations.

 

 A TI-84+ graphing calculator is required for the course.

 

Students are encouraged to take the Advanced Placement Calculus BC exam.

 Text book: Calculus (Thomas, Finney; Addison Wesley; 12th ed. )

 

 

 

 

Math 7 -  Discrete Mathematics  ( Lise 12 students; 5 periods per week )

 

A mathematics elective consisting of mathematical induction, linear programming, map coloring, graph theory, biomathematics, matrices, linear algebra and the mathematics of social choice. Because of this diversity of topics, it is perhaps preferable to view discrete mathematics simply as the mathematics that is necessary for decision making in noncontinuous situations.

 

A TI-84+ graphing calculator is required for the course.

 

 

 

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