# Math 22

## Concepts

**Disclaimer:**

The pages below are made for reviewing purposes only. If you find any errors, please send me an email at tphan046@ucr.edu

Special thanks to Mr. Curtis for his consultation on the content of Math 22 wiki.

Most of the pictures in this math 22 Wiki are taken from *Brief calculus with applications* by **Ron Larson**

**Some useful pages**

**This page has a description of even and odd functions**

**Lectures:**

**1.3 Lines in the Plane and Slope**

**2.1 The Derivative and the Slope of a Graph**

**2.4 Product Rule and Quotient Rule**

**3.1 Increasing and Decreasing Functions**

**3.2 Extrema and First Derivative Test**

**3.3 Concavity and the Second-Derivative Test**

**3.5 Business and Economics Applications**

**3.8 Differentials and Marginal Analysis**

**4.2 Natural Exponential Functions**

**4.3 Derivatives of Exponential Functions**

**4.5 Derivatives of Logarithmic Functions**

**4.6 Exponential Growth and Decay**

**5.1 Antiderivatives and Indefinite Integral**

**5.2 Integration by Substitution and the General Power Rule**

**5.3 Exponential and Logarithmic Integrals**

** 5.4 Area and the Fundamental Theorem of Calculus**

** 5.5 The Area of a Region Bounded by Two Graphs**

** 6.1 Integration by Parts and Present Value**

** 7.1 The Three-Dimensional Coordinate System**

** 7.3 Function of Several Variables**

**7.5 Extrema of Functions of Two Variables**