## Intro to Analysis and Calculus Primer

Give your student a leg up on Intro to Analysis and Calculus this summer!

Locations: Online, Burlingame, Danville, Lafayette, Los Altos,  Los Gatos, Menlo Park, Mountain View, Palo Alto, San Carlos, San Jose, San Mateo, Saratoga, Woodside.

Cost: \$120/hr

Recommended hours: 12-15

Goals:

• Transition students from Algebra 2 to Intro to Analysis and Calculus (IAC)
• Build a solid conceptual understanding of IAC before students enter the class

## Course Description:

This class is designed for students moving from Algebra II to IAC (particularly those who want to take the honors version of the class) and will prepare them for the wide variety of subjects in IAC — some of which are not clearly related to each other. Topics include: functions (definition, motivation, and behavior); specific algebraic tricks that show up often in IAC (e.g. factoring & canceling to identify holes in rational functions); permutations & combinations, as well as a preview of trigonometry (unit circle, radians, standard trig functions [sin/cos/tan], some basic identities). If time allows, we will also cover matrices, vectors, logarithmic modeling, and limits.

IAC is a notoriously challenging course, and students often struggle to both learn and competently use all the new material they learn. By teaching many of the key concepts of IAC in advance, this course is designed to take some of the pressure off of the learning process during the academic year.

## Intro to Analysis & Calculus Primer Topics:

We will select and teach the topics that will best match your student’s level and interest and build a personally tailored curriculum from these sample lessons.

#### Functions

Polynomial functions, rational functions, exponential and logarithmic functions

#### Trigonometry

Unit circle, graphing, trig identities and proofs, solving trig equations

#### Probability & Combinatorics

Counting properties, permutations, combinations, binomial distribution

#### Applications

Polar coordinates and equations, vectors, parametric equations, business math, linear programming

## Make the Most of the Summer!

Students who stay actively engaged in the learning process during the summer perform better during the school year.

Peninsula Main Phone Number (650) 331-3251