Math

With extensive offerings in mathematics, our students can choose courses that are appropriately challenging for them. Math at MVS incorporates technology and techniques that allow our students to conceptualize, navigate uncertainties and problem solve. With the relevant and rigorous curriculum, students enter college with solid math sense, advanced mathematical skills, and new ways of understanding the world around them.

Courses

Algebra I

Algebra I is the foundation for all other courses in mathematics. It supplies the language and patterns of reasoning needed for future work in this important subject. Topics of study are equations, inequalities, polynomials, functions, graphs, systems of linear equations, rational algebraic expressions, roots, and quadratic equations. Many MVS students have taken Algebra I in middle school but may take it again in the upper school if they need to.

Geometry

Geometric concepts included in this course are congruency of triangles, similarity of triangles, area, volume, properties of perpendicular and parallel lines, right triangles, circles, and special quadrilaterals. Students explore these concepts through investigation as well as through the deductive process. Inductive reasoning is developed through measuring and drawing conclusions. Application of algebraic skills and exposure to proofs will be used to improve deductive reasoning.

Geometry Honors

Geometry Honors is an accelerated and enriched course that places emphasis on developing critical thinking skills. Geometric concepts will be studied in depth as deductive reasoning is developed. Students with a strong aptitude for mathematics and with a high level of success in Algebra I will be considered as candidates for this course.

Algebra II

Algebra II is a study of functions and their applications as mathematical models of real world phenomena. Topics to be studied include linear functions, quadratic functions, exponential and logarithmic functions, rational algebraic functions, irrational algebraic functions, systems of equations and inequalities, conic sections, sequences, and series. A great deal of emphasis will be placed on graphing, and a considerable amount of work will require the use of a graphing calculator.

Algebra II Honors

This course comprises a rigorous study of advanced algebra using the Algebra II syllabus but developing each topic more deeply. Some additional topics are also included, and there is more emphasis on theoretical problems. This course proceeds at a rapid pace in order to include much more rigor.

Pre-Calculus

The study of various functions from Algebra II with more emphasis on analysis of the ten characteristics of a function. This course teaches students how to quickly picture a transformed graph from a particular family of curves. In addition, logistic and the trigonometric family of functions are introduced and explored. Students develop an understanding of the limit of a function, what happens to a function as a variable approaches a given value or approaches infinity.

Differential Calculus

This accelerated and enriched course covers all the topics of the Pre-calculus course but with more depth and also includes differential calculus. Differential calculus is concerned with the study of the rates at which quantities change.


AP Calculus (AB)

Calculus AB is a full-year course in the calculus of functions of a single variable. The material includes the study and application of differentiation and integration, and graphical analysis including limits, asymptotes, and continuity. An AP Calculus AB course is typically equivalent to one semester of college calculus.

AP Calculus (BC)

Calculus BC is a full-year course in the calculus of functions of a single variable. It includes all topics covered in Calculus AB as well as convergence tests for series, Taylor and Maclaurin series, the use of parametric equations, polar functions, including arc length in polar coordinates, calculating curve length in parametric and function equations, L’Hôpital’s rule, integration by parts, improper integrals, Euler’s method, differential equations for logistic growth, and using partial fractions to integrate rational functions. An AP Calculus BC course is typically equivalent to one year of college calculus.


Multivariate Calculus

This course is an extension of calculus in one variable to calculus in more than one variable: the differentiated and integrated functions involve multiple variables, rather than just one. Topics include: limits and continuity, partial differentiation, multiple integration, and the Fundamental Theorem of Calculus in multiple dimensions.


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