Dr. Jenny Switkes will help you master the intricacies of Calculus from Limits to Derivatives to Integrals. In Educator's Calculus 1 course, Professor Switkes covers all the important topics with detailed explanations and analysis of common student pitfalls. Calculus can be difficult, but Professor Switkes will show you how to reap the rewards of your hard work, all while showing you the beauty and importance of math. Whether you just need to brush up on your calculus skills or need to cram the night before the final, Professor Switkes has taught mathematics for 10+ years and knows exactly how to help.

Table of Contents:

I. Overview of Functions
Review of Functions 26:29
Compositions of Functions 12:29

II. Limits
Average and Instantaneous Rates of Change 20:59
Limit Investigations 22:37
Algebraic Evaluation of Limits 28:19
Formal Definition of a Limit 23:39
Continuity and the Intermediate Value Theorem 19:09

III. Derivatives, part 1
Limit Definition of the Derivative 22:52
The Power Rule 26:01
The Product Rule 14:54
The Quotient Rule 19:17
Applications of Rates of Change 17:43
Trigonometric Derivatives 26:58
The Chain Rule 23:47
Inverse Trigonometric Functions 27:05
Equation of a Tangent Line 15:52

IV. Derivatives, part 2
Implicit Differentiation 30:05
Higher Derivatives 13:16
Logarithmic and Exponential Function Derivatives 17:42
Hyperbolic Trigonometric Function Derivatives 14:30
Related Rates 29:05
Linear Approximation 23:52

V. Application of Derivatives
Absolute Minima and Maxima 18:57
Mean Value Theorem and Rolle's Theorem 20:00
First Derivative Test, Second Derivative Test 27:11
L'Hopital's Rule 23:09
Curve Sketching 40:16
Applied Optimization 25:37
Newton's Method 25:13

VI. Integrals
Approximating Areas and Distances 36:50
Riemann Sums, Definite Integrals, Fundamental Theorem of Calculus 22:02
Substitution Method for Integration 23:19

VII. Application of Integrals, part 1
Area Between Curves 19:59
Volume by Method of Disks and Washers 24:22
Volume by Method of Cylindrical Shells 30:29
Average Value of a Function 16:31

VIII. Extra
Graphs of f, f', f'' 23:58
Slope Fields for Differential Equations 18:32
Separable Differential Equations 17:04