# Calculus I

**01.1 obj 1** Four Ways to Represent a Function

**1.1 obj 2** piecewise

**1.1 obj 3** Symmetry, Inc, and Dec

### 1.2 Mathematical Models: A Catalog of Essential Functions

**1.2 obj 1** Linear Models

**1.2 obj 2** Polynomials

**1.2 obj 3** Power Functions

**1.2 obj 4 and 5** Algebraic Functions

**1.2 obj 6** Trigonometric Functions

**1.2 obj 7 and 8** Exp and Log Functions: Go to https://www.youtube.com/watch?v=YJAQeHwhJoM&list=PLj2XndT2E1tycjoGhJZe3c3EqZ8QqaCnr&index=9

### 1.3 New Functions from Old Functions

**1.3 obj 1** Transformations

**1.3 obj 2** Composition of Functions

### 1.4 The Tangent and Velocity Problems

**1.4 obj 1** The Tangent Problem

**1.4 obj 2** The Velocity Problem

### 1.5 The Limit of a Function

**1_05 obj 1** The Limit of a Function

**1_05 obj 2** One-Sided Limits

#### **1_05 obj 3** Infinite Limits

### 1.6 Calculating Limits Using the Limit Laws

#### **1_06 obj 1** Calculating Limits Using the Limit Laws

**1_06 obj 2** Limit Laws, One-Sided Limits, and the Ol’ Squeeze Play

### 1.7 The Precise Definition of a Limit

**1_07 obj 1** The Precise Definition of a Limit

**1_07 Ex 1** Using a Graph to Find a delta

**1_07 Ex 2** Proving the Limit of a Linear Function

**1_07 Ex 3** Proving a One-Sided Limit

**1_07 obj 2** Infinite Limits

### 1.8 Continuity

**1_08 Defining Continuity**

**1_08 obj 2 Find Where Functions are Discontinuous**

**1_08 More Definitions and Theorems**

### 2.7 **Limits and Derivatives**

**2_07 obj 1** The Slope of a Tangent Line

**2_07 obj 2** Velocities

**2_07 obj 3 **Derivatives

**2_07 obj 4** Rates of Change

### 2.8 The Derivative as a Function

**2_08 obj 1** The Derivative as a Function

**2_08 obj 2** Derivative Notation

**2_08 obj 3** How a Function Can Fail to Be Differentiable

**2_08 obj 4** Higher Derivatives

### Chapter 3 Differentiation Rules

### 3.1 Polynomial and Exponential Functions

**3_01 obj 1 and 2** Constant and Power Functions

#### Derivatives of Constant and Power Functions

### Chapter 5 Applications of Integration

**5.2** Volumes by Slicing and the Disk Method

VOLUMES BY SLICING AND THE DISK METHOD

# Math 2412 Precalculus

# Math 1342 Statistics

# Math 1324 Mathematics for Business i.e. Finite Math

See San Jacinto College.