This Calculus course emphasizes the process of learning and problem-solving. To encourage active engagement and deeper understanding, solutions to problem sets and past exams are provided by course instructors during Problem Sessions, Reviews, and Lectures.
Practice Problems (PP)
PP1_PreCalculus Review
PP2_Limits
PP3_Limits at Infinity
PP4_Continuity
PP5_The Derivative
PP6_The Chain, Product, and Quotient Rules
PP7_Implicit Differentiation
PP8_Inverse Functions
PP9_Derivatives of Exponential and Logarithmic Functions
PP10_Logarithmic Differentiation
PP11_Linearization and Differentials
PP12_The Mean Value Theorem
PP13_Maxima and Minima
PP14_Derivatives and the Shape of a Graph
PP15_L’Hopital’s Rule
PP16_Applied Optimization Problems
PP17_Antiderivatives
PP18_Approximating Areas
PP19_The Definite Integral
PP20_The Fundamental Theorem of Calculus
Additional Practice Problems
- Pre-calculus Recap
- Limits
- Continuity
- Limits at Infinity
- The Derivative
- Chain, Product and Quotient Rules
- Implicit Differentiation
- Linearisation and Differentials
- Logarithmic Differentiation
- Inverse Functions
- L’Hopitals Rule
- Maximum and Minimum Values
- The Mean Value Theorem
- Derivatives and Curve Sketching
- Optimization
- Antiderivatives and Rectilinear Motion
- Area and the Definite Integral
- Evaluating Definite Integrals
- The Fundamental Theorem of Calculus
Past Exams
Spring 2025
Exam 1
Exam 2
Exam 3
Final Exam (Optional)
*Lecture Videos by Ms. Sarah Canzone
*Disclaimer: The first minute or so references the summer course, but the lectures themselves are just math there on out and would be helpful for anyone who missed a day or needs a bit of help on a topic.
You have support!
- Your instructor is here to guide you. Don’t hesitate to ask questions during class, attend office hours, or participate in online discussions.
- AI can be a powerful ally. Leverage AI tools to check your work, explore different approaches, and delve deeper into the “why” behind solutions.
Remember to use AI responsibly:
- Let it enhance your understanding, not replace your own effort.
- Always try solving problems independently first, then use AI for support for verification.
Collaborate with your classmates, discuss AI-generated solutions, compare approaches, and learn from each other. By combining your own efforts with AI assistance and your instructor’s guidance, you can achieve a deeper understanding and build the skills you need to succeed.
UAlbany Calculus and Statistics 