Calculus, Statistics and Beyond

Statistics Honors

Type: honors Available to: qualified students, see placement requirements link on the Math Department page Statistics is a growing field of study that has applications in many industries and academic fields such as psychology, life sciences, economics, astronomy, finance, sports and more. Paying close attention to local, national and global events, this honors course introduces students to the descriptive and inferential statistical methods that allow them to be competent consumers and handlers of data. Throughout the year students will explore several statistical themes such as producing data with experimental design, exploring data with descriptive statistics, anticipating patterns using probability, and learning about a population from sample data using statistical inference. Students will engage with these concepts through activities, simulations, projects, current events, and real-world data sets. Also, they will develop familiarity with technological tools that will help them access, display, analyze and interpret data. Deep engagement in the coursework [...]

Multivariable Calculus Honors

Multivariable Calculus is reserved for students who have completed AP Calculus BC. In colleges this course is commonly called Calculus III, and it expands the calculus concepts to multiple variables, and to multiple dimensions. The first part of the course introduces vector calculus basics such as the definition of a vector, its magnitude and direction, dot and cross products, and their geometrical interpretation. These concepts are then applied to 3-dimensional shapes, including lines, planes, and quadrics (ellipsoids, spheres, cones, paraboloids etc.). The second phase of the course focuses on calculus concepts with multiple variables to calculate arc length, surface area and volume by using line, double and triple integrals in Cartesian, polar, cylindrical and spherical coordinate systems. The course concludes by making connections to real-life problems such as Green’s, Divergence, and Stokes’ Theorems.

AP Calculus BC

This fast-paced college-level course covers the topics presented in AP Calculus AB in greater depth, as well as infinite series, including the Taylor series. Students also investigate functions defined by polar and parametric equations and vectors. They use topics such as the logistic growth model and related rates to apply their work to real world situations. Using calculus, they are able to calculate the carrying capacity of a pack of wolves, or how fast the volume of a balloon is changing when inflated or deflated. Students use online resources such as Desmos and the AP Classroom along with graphing calculators to enhance their knowledge of the concepts while preparing for the AP Exam.

AP Calculus AB

AP Calculus AB is an introductory college-level calculus course. Students cultivate their understanding of differential and integral calculus through engaging with real-world problems. This comprehensive course requires students to use definitions and theorems to build arguments and justify conclusions. Students learn to solve problems expressed graphically, numerically, analytically and verbally to build a deeper understanding of the presented topics. Students use online resources such as Desmos and the AP Classroom along with graphing calculators to enhance their knowledge of the concepts while preparing for the AP exam in May, and the possibility of taking AP Calculus BC the following year.

Calculus

Available to: qualified students, see placement requirements link on the Math Department page This course introduces students to the elements of differential and integral calculus with an emphasis on building upon and subsequently mastering skills learned in prior math courses. Students will use limits in their study of differential calculus and do a thorough examination of the tangent line problem. Students will apply differentiation techniques such as power, chain, product, and quotient rules. Once the techniques are mastered, students will apply their knowledge to authentic problems involving optimization. They will also explore applications of integral calculus, which include calculating the area under a curve and the fundamental theorem of calculus. This comprehensive course prepares graduating grade 12 students for college-level mathematics courses and younger students for AP Calculus AB.

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