Mathematics 2014-2015

 

Culver Academy requires three (3) credits in Math, including Introductory Algebra, Geometry and Intermediate Algebra.

 

Pre-Algebra
2 terms, solid 1 credit, A

This course is for students who need strengthening in basic skills before beginning a study of algebra. It provides background needed for a successful study of algebra and promotes a mastery of math techniques. This course does not count toward fulfilling the graduation requirement and is offered when there is sufficient need.

 

Introductory Algebra A
1 term, solid, 1/2 credit, B

This introductory algebra course encourages students to develop mathematical skills, techniques, and concepts through applications and hands-on experiences. Careful thinking and systematic problem solving are stressed. The topics will focus on numerical understanding, understanding variables, solving linear equations, and basic statistics.

 

Introductory Algebra B
1 term, solid, 1/2 credit, B 

This introductory algebra course encourages students to develop mathematical skills, techniques, and concepts through applications and hands-on experiences. Careful thinking and systematic problem solving are stressed. The topics will focus on methods of solving systems of equations, mathematical relationships, and polynomial functions.

 

Introductory Algebra C
1 term, solid, 1/2 credit, B 

This introductory algebra course encourages students to develop mathematical skills, techniques, and concepts through applications and hands-on experiences. Careful thinking and systematic problem solving are stressed. The topics will focus on rational expressions, real numbers, and quadratic functions.

 

Geometry
2 terms, solid, 1 credit, C

This course builds on the Algebra I foundation. The emphasis is on the traditional topics in plane, solid, and coordinate geometry. Students are also introduced to concepts in mathematical logic and trigonometry.

 

Honors Geometry
2 terms, solid, 1 credit, D

This course is for students with above average math ability and background. It covers plane, solid, and coordinate geometry using deductive and inductive reasoning. Algebra skills are reviewed and trigonometry is introduced.

 

Intermediate Algebra
2 terms, solid, 1 credit, B

This course focuses on the conceptual understanding of traditional algebra topics. After concepts and skills of Introductory Algebra  are reviewed and extended, new topics of algebra are introduced. In particular, polynomial, trigonometric, logarithmic, and exponential functions are emphasized.

 

Honors Intermediate Algebra
2 terms, solid 1 credit, C

Algebra and trigonometry are integrated in this course for students with strong records in mathematics. Concepts and techniques of algebra and trigonometric, logarithmic, and exponential functions are studied.

 

Honors Pre-Calculus
2 terms, solid, 1 credit, B

Students in this course have studied trigonometry in Honors Intermediate Algebra Trigonometry. The course treats basic mathematical concepts – the number system, vectors, and functions (algebraic, exponential, logarithmic, and trigonometric) – from a modern point of view. Graphing calculators are used regularly. There is a substantial amount of analytic geometry.

 

Pre-Calculus I: College Algebra I
1 term, solid, ½ credit, B

This course extends a student’s work in mathematics beyond the second-year algebra level to include extensive work with linear and quadratic equations and inequalities, including graphs, exponential and logarithmic functions and graphs, and analytic geometry. Extensive use of graphing calculators (TI-83 or 84) is required.

 

Pre-Calculus II: Trigonometry
1 term, solid, ½ credit, B

The traditional trigonometry functions, identities, and equations are studied extensively, as well as transformations and triangle applications. Again, the TI-83 or 84 calculator is required.

 

Pre-Calculus III: College Algebra II
1 term, solid, ½ credit, B 

The course is the sequel to Pre-Calculus I and is the third leg of the path a student would take from the Algebra II level to the Elements of Calculus level. The text is the same as Pre-Calculus I, with additional supplemental material on trigonometry. Polynomial and rational functions are studied, as well as additional work with matrices, sequences and series, the binominal theorem, math induction, probability, and limits. Vectors, complex numbers, parametric equations, and polar equations are also studied. The TI-83 or 84 calculator is used extensively.

 

Note: Students who carry just two of the three previous courses will not be prepared to enroll in Elements of Calculus, but will have a solid background in mathematics to be successful in a pre-calculus course at the college level.

 

Computer Programming
1 term, solid, ½ credit, A

This introductory programming course develops an understanding of the relationships between mathematics, computers, and problem solving. Students learn to manipulate Karel the robot, using Java. They also learn to program their TI-calculators and work with 3-D animation. No prior knowledge of programming is required.  Prerequisite is the completion of Geometry.

 

Statistics
1 term, solid, ½ credit, B

This course covers topics found in an introductory college course in probability and statistics. There is an emphasis on practical applications and the appropriate handling of data. Computers and calculators are used extensively throughout the course.

 

Honors Elements of Calculus
2 terms, solid, 1 credit, C 

This course is offered to students who have completed Pre-Calculus or its equivalent, but who are not ready for, or are not interested in, Advanced Placement Calculus. Coverage is reduced from that of AP Calculus, but topics are covered with similar care and rigor. Upon successful completion of this course, students will be prepared to begin the calculus sequence in college.

 

Advanced Placement Statistics
3 terms, solid, 1½ credit, B

This course is designed for students who have performed well in earlier mathematics courses and want the challenge of taking a college-level AP statistics course. Students study data collection through the appropriate design of experiments and surveys. There is an emphasis on organizing, summarizing, displaying, and exploring data using descriptive statistics. Students also study and apply the basic principles of probability. In addition, the binomial, normal, t, and Chi-square probability distributions are covered. Finally, there is a strong component of inferential statistics where students draw conclusions about populations from samples. Computers and calculators are used extensively throughout the course.

 

Advanced Placement Computer Science
3 terms, solid, 1½ credit, B

Students complete a typical college freshman-level course, with emphasis on the study of sound programming methodology, fundamental algorithms, and the Java language.  The syllabus is recommended for the AP Program and students are expected to take the AP Computer Science exam in May.

 

Advanced Placement Calculus BC
3 terms, solid, 1½ credit, D

Students enrolling in this course need to have demonstrated competence in Pre-Calculus, only a limited review is included. The syllabus includes the topics recommended for the BC Advanced Placement program of the College Entrance Examination Board, and students are expected to take either the AB or BC level A.P. examination in calculus. Some students receive credit for advanced placement when they enter college, while others enter freshman honors sections. The TI-83 or 84 calculator is used extensively.

 

Advanced Placement Calculus AB & Advanced Placement Physics C
4 terms, solid, 2 credits

This is an interdiscipllinary collaborative course designed to combine science and math in a seamless study over 4 terms in preparation for both the AP Physics C: Mechanics and AP Calculus AB exams in May.  AP Physics C provides a systematic introduction to the principles of classical mechanics.  Topics are equivalent to thos covered during a first semester physics course, including linear motion, dynamics, energy and rotation.  AP Calculus AB covers limits and the concept, properties, applications and computations of derivatives and integrals.  A computer and the TI-83/84 calculator are used extensively to analyze and graph data, present simulations and provide content to the course.    Pre-requisiste is a GPA of 3.0 or better in prior math and physics courses.

 

Honors Seminar:  Mathematics
2 term, solid, 1 credit

The Honors Mathematics Seminar is for students who have demonstrated exceptional ability and interest in mathematics and who are interested in pursuing the subject beyond the Advanced Placement level.   Students will select topics in a range of subject areas including linear algebra, multivariable calculus, differential equations, and number theory and engage in in-depth research under the guidance of a mathematics instructor.  To earn honors, each student must successfully complete a detailed report of their findings and present their results findings to a scholarly forum of faculty members.  Successful completion of AP Calculus BC is a pre-requisite for this course.

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