Calculus/AP Calculus 

General Introduction

The jump from pre-calculus to calculus can be a challenge. Calculus requires a great deal of understanding in all previous math level courses. Students apply concepts from algebra I and II, geometry, trigonometry, and pre-calculus to solve problems in calculus. This course, as an extension to pre-calculus, dives into more real life problems. As part of this course, students will learn to deal with limits, derivatives, integrals, and infinite series.

Instruction Content

Limits and Continuity

Differentiation

Chain Rule

Partial Derivative

Integration

Area and volume for curves and 3D shapes

Extrema of functions

Optimization

Second Order differential Equation

Infinite series

Parametric Equations and Polar Coordinates

Homework and Tests

Homework will be given out at the end of each class. Homework includes problems with ranging difficulty level to ensure the understanding of material learn in class. Problems require the use of all the formulas learned. Word problems will be included to help students understand what a question is asking and learn how to apply what they learned to find the particular solution.

Tests are a valued part of the course. It helps the student review what they have learned and expose the weaknesses that need to be worked on. The value of tests also lies in test taking skills. Tests will not only review all the material learned, but also familiarize students with a test-taking environment. This helps students becomes more confident every time they’re faced a test. Ivy Boost will assist students with such situations, teaching them various methods to tackle their tests.

Prerequisites

Algebra I, Algebra II, Trigonometry, Geometry