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UTRGV Calculus

utrgvcalculus
  • Home
  • How to Read a Math Textbook
  • Part 1
  • Part 2
  • Additional Instructional Resources
  • Learning Desmos
  • Calculus Applets in Geogebra
  • Electronic flashcards for derivatives/integrals
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  •  
  • Calculus I
  • Functions
  • Definition of Function
  • Domain and Range of a Function
  • Limits
  • The Limit of a Function
  • Limit Laws
  • Continuity
  • Derivatives
  • Defining the Derivative
  • The Derivative Function
  • Tangent Lines and Their Slopes
  • Derivatives as Rates of Change
  • Basic Differentiation Rules
  • Derivatives of Trigonometric Functions
  • Product Rule & Quotient Rule
  • The Chain Rule
  • Derivatives of Logarithmic and Exponential Functions
  • Logarithmic Differentiation
  • Implicit Differentiation
  • Applications of Derivatives
  • Related Rates
  • Linear Approximations and Differentials
  • Maximum and Minimum Values
  • Mean Value Theorem
  • Derivatives and Shapes of Graphs
  • Indeterminate Forms and L’Hopital’s Rule
  • Optimization Problems
  • Integration
  • Approximating Areas
  • The Definite Integral
  • Fundamental Theorem of Calculus
  • Average Value of a Function
  • Integration Formulas
  • Net Change Theorem
  • The Substitution Rule
  •  
  • Calculus II
  • Techniques of Integration
  • Integration By Parts
  • Graph Interpretation
  • Determine Volume by Slicing/Disk/Washer Method
  • Arc Length of a Curve

Home

Welcome to the calculus page at the University of Texas Rio Grande Valley. At UTRGV we are dedicated to providing the resources that students need to succeed. This calculus page contains the most important topics in calculus and provides engaging videos to make the learning process more intuitive. Please feel free to select from our list of topics!

Functions

Definition of Function

Domain and Range of a Function


Limits

The Limit of a Function

desmos logo

Limit Laws

desmos logo

Continuity

desmos logo

Derivatives

Defining the Derivative

desmos logo

The Derivative Function

desmos logo

Tangent Lines and Their Slopes

desmos logo

Derivatives as Rates of Change

Basic Differentiation Rules

Derivatives of Trigonometric Functions

Product Rule & Quotient Rule

The Chain Rule

Derivatives of Logarithmic and Exponential Functions

desmos logo

Logarithmic Differentiation

desmos logo

Implicit Differentiation

desmos logo

Applications of Derivatives

Related Rates

desmos logo

Linear Approximations and Differentials

desmos logo

Maximum and Minimum Values

Mean Value Theorem

desmos logo

Derivatives and Shapes of Graphs

Indeterminate Forms and L’Hopital’s Rule

Optimization Problems

desmos logo

Integration

Approximating Areas

desmos logo

The Definite Integral

desmos logo

Fundamental Theorem of Calculus

desmos logo

Average Value of a Function

desmos logo

Integration Formulas

Net Change Theorem

The Substitution Rule



Calculus II

Calculus II combines topics learned in Calculus I with newer, more intricate topics such as integration, substitution, volumetric approximation, and infinite sums. These concepts build heavily on the information from the previous sections, so please be sure to have a thorough understanding of the topics in Calculus I before advancing to these next sections.

Techniques of Integration

Integration By Parts

desmos logo

Graph Interpretation

Determining Volume by Slicing/Disk/Washer Method

Arc Length of a Curve

Applications

Physical Applications

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