UTRGV Calculus
- 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
- Flashcards on Trig and Calculus topics
- 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
Limits
Derivatives
Applications of Derivatives
Integration
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.