1451: Calculus I
Below are some topics that students often struggle with in Calc I.
For each topic, there is a blank worksheet for you to practice. The tutorial videos will explain the topic and work through some examples. We recommend trying to fill in the worksheet while watching the tutorial videos. Worksheet solutions are available, with answers from the tutorial video and practice problems.
In some sections, there are interactive Desmos activities to visualize a topic or match problems with their solutions. You do not need to make an account to use these activities.
Algebra and Precalculus Review
What is a Function?
Simplifying Rational Functions
Limits and Continuity
What is a Limit?
- Worksheet
- Tutorial videos: part 1, part 2
- Worksheet solutions
Piecewise Continuity
- Worksheet
- Tutorial videos: part 1, part 2
- Worksheet solutions
Derivatives
Derivative Rules
Extrema
- Worksheet
- Tutorial videos: part 1, part 2, part 3
- Worksheet solutions
Curve Sketching
Related Rates
- Worksheet
- Tutorial videos: part 1, part 2
- Worksheet solutions
Integrals
Integral Methods
Substitution
Second Fundamental Theorem of Calculus
These resources were created by Alexis Hardesty in Fall 2022, based on Calculus by K. Smith, M. Strauss, and M. Toda, 7th National Edition.
Please note: each instructor might emphasize different material. The topics from your course syllabus may not be the same as the topics we cover here.
Department of Mathematics & Statistics
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Address
Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409-1042 -
Phone
806.742.2566 -
Email
math.dept@ttu.edu