Welcome to Calculus 1, the first part of Single Variable Calculus. This course covers all of differential calculus, with an introduction to limits. We also touch on polar coordinates and parametric equations.
If you have any suggestions, please do not hesitate to email them to contact@TrevTutor.com
Lectures
Limits
Explaining Limits Graphically
Limit Laws
Finding Limits Algebraically
Precise Definition of a Limit (d-e)
Continuity
Continuity Laws
Intermediate Value Theorem
Limits at Infinity
Squeeze Theorem
Limit Review #1
Tangent Lines
Derivatives and Rate of Change
Notation and Higher Derivatives
Limit Review #2
Derivatives
Implicit Differentiation
Inverse Trigonometric Derivatives
Logarithm Derivatives
Logarithmic Differentiation
Derivative Review #2
Applications of Derivatives
Maximum and Minimums
Extreme Value Theorem
Mean Value Theorem
First Derivative Test
Second Derivative Test
Curve Sketching
Optimization #1
Optimization #2
Newton’s Method
L’Hospital’s Rule
Coordinate Systems and Antidifferentiation
Practice Exams
Here are some worksheets and exams that I have compiled myself. Some exams and quizzes are new documents that merge selected old questions from multiple sections/years of a course and are given as a single new exam.
Exams and Worksheets
McGill Math 139 – Quiz 2 Solutions
McGill Math 139 – Quiz 3
McGill Math 139 – Quiz 3 Solutions
McGill Math 139 – Quiz 4
WashU Math 131 – Final Exam 2013
WashU Math 131 – Final Exam 2013 Solutions
This must took a while to build online. Thanks for sharing with us.
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I only just realized that you have Calculus videos and I’m so excited for that!
Keep being awesome!
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Thanks for being Legendary.
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Trev thank you so much for taking your time to do this, you’re helping a ton of people including me.
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Trev
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Trev
Thank you for doing all of this and putting time and effort into this, you helped to understand topics in a video that took me hours to do by myself…
Thanks for being a savior
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As long as there are college sudents out there, dont stop. You are a huge help to us, probably more than you will ever know.
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