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

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Trev

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Trev

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