CALCULUS I

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.

Math 1314 College Algebra